43 results about "Solution of equations" patented technology

The invention provides a quantum block coding discrete adiabatic evolution solving method for a direct current power flow equation, and the method mainly comprises the steps: designing Hamiltonian according to an admittance matrix of the direct current power flow equation and known node injection active power, and carrying out the post-processing of the Hamiltonian through an intrinsic separator, the improved block coding technology is embedded into a quantum discrete adiabatic linear solver, approximate Hamiltonian simulation is achieved through first-order approximation, and preparation of a quantum state solution bypassing complex Hamiltonian simulation and a power flow equation is achieved. According to the method, an improved block coding technology is introduced, and equivalent non-unitary operation on a quantum system in the discrete adiabatic evolution process is achieved; according to the method, the Hamiltonian containing information of a direct-current power flow equation solution is designed, the Hamiltonian is post-processed by introducing an intrinsic separation technology, the gap between a target eigenvalue and an adjacent eigenvalue is increased, the success rate of quantum discrete adiabatic evolution is increased, and the solving efficiency and precision are optimized.

The invention discloses a dynamic calculation method based on a spectral feature coding network. The dynamic calculation method comprises the following steps: analyzing a structural dynamic equation type and modal parameters corresponding to a dynamic problem to be solved; determining an input variable of the structural dynamic equation, building a spectrum feature coding layer, and mapping the input variable to a spectrum space related to the structural dynamic equation solution; constructing a neural network architecture; constructing a loss function based on physical constraint conditions of the structural dynamic equation; and training the neural network architecture under the constraint of the loss function, and solving the structural dynamic equation to respond to dynamic calculation. The input variable is projected to the structural dynamic equation frequency spectrum space, and the multi-layer perceptron fits the primary function with the clear physical meaning in the space, so that the frequency spectrum deviation problem is effectively solved, the solving precision of the high-frequency structural dynamic equation is improved, the nonlinear fitting complexity of the neural network is reduced, and the neural network performance is improved. The method enables the network to converge rapidly, reduces the number of iterations to improve the solving efficiency, and provides a high-efficiency solving thought for an engineering high-frequency dynamics problem.

The invention provides a failure spacecraft relative pose estimation method based on dual algebra, and belongs to the field of spacecraft navigation, and the method comprises the following steps: building a failure spacecraft six-degree-of-freedom relative motion and dynamics model under dual algebra description; then, through a matrix vectorization operator, determining analysis forms of a state equation and an observation equation, and establishing a multiplicative extended Kalman filter; finally, unscented transformation is introduced, a process noise covariance and measurement noise covariance adaptive law is designed, the problems that parameter adjustment of a complex system is tedious and convergence is slow are solved, and accurate estimation of the near-operation real-time pose of the failed spacecraft is achieved. According to the invention, successful execution of the capture maintenance task can be ensured.

The invention discloses a passive time difference positioning method based on an improved Kepler optimization algorithm, and the method comprises the steps: firstly converting a passive time difference positioning equation solving problem into an optimization problem which takes the real position of a positioning target as a design variable, and designing a target function; secondly, using Logistic chaotic mapping to improve initialization of positions of candidate solutions, calculating fitness of the candidate solutions by using an objective function according to the positions of the candidate solutions, and taking the candidate solution with the optimal fitness as a current optimal solution; according to the positions of the candidate solution and the optimal solution, the gravitation between the candidate solution and the optimal solution is calculated, and the speed of the candidate solution is calculated; and finally, generating a random number, updating the position of a candidate solution, calculating fitness by using an objective function, updating global optimum, and finally outputting a position corresponding to an optimal solution to realize target positioning. The method is higher in global search and local search capability, higher in convergence speed, better in positioning effect and suitable for complex positioning scenes.

The invention provides a physical field domain modeling method and device, electronic equipment and a storage medium. The physical field domain modeling method and device can automatically analyze user requirements, obtain a to-be-modeled field domain type and modeling parameters, determine a corresponding partial differential equation, generate a modeling parameter code block, a loss function code block and a training algorithm code block, and construct a neural network model. And generating an initial hyper-parameter group based on a preset optimization target and the historical hyper-parameter group, training the model and dynamically adjusting the model until the optimization target is met, calculating an equation solution and constructing a field domain model. The method realizes efficient and automatic solution of the partial differential equation, improves the modeling precision and efficiency, and is suitable for engineering scenes such as complex electromagnetic fields, flow fields, thermal fields and the like.

The present invention discloses a collaborative formation control method based on a distributed filtering synchronization estimator, comprising the following steps: constructing the state space equation of an intelligent agent according to its mathematical model; defining a global instruction system and generating a global reference instruction; establishing a communication network for a multi-agent system and modeling the channel perturbation of the global reference instruction; constructing a distributed filtering synchronization estimator based on a disturbed output for the global reference instruction affected by the channel perturbation; solving the regulator equation to obtain a feedforward gain matrix of a deterministic equivalent output feedback controller; designing a deterministic equivalent output feedback controller to generate the control input of the intelligent agent, thereby achieving the desired formation control effect. The present invention proposes a type of distributed filtering synchronization estimator based on a disturbed output and designs a distributed deterministic equivalent controller to achieve closed-loop system stability and the intelligent agent motion trajectory approaches the set trajectory, which has broad application prospects.

The invention discloses a depth operator network ocean flow velocity prediction method based on a Green function, and belongs to the technical field of ocean current prediction, and the method comprises the steps: constructing a depth operator network model based on the Green function; the depth operator network model is trained, the fitting process of an incompressible two-dimensional Navier-Stokes equation solution operator is converted into the fitting process of an integral kernel, a pre-training model is obtained, and a Green function and convergence parameters thereof are learned; collecting sea area surface time sequence ocean flow velocity data as training data; and initializing the pre-training model by using the Green function and the convergence parameter thereof, and carrying out transfer learning on the initialized pre-training model by using the training data to obtain an ocean flow velocity prediction model, thereby predicting the ocean flow velocity distribution of the target sea area at the future moment. According to the method, the mathematical theory and deep learning are combined, the modeling ability for non-local dynamics is effectively enhanced by using the Green function, the calculation efficiency and generalization performance are improved, and an efficient and stable calculation method is provided for ocean flow velocity prediction.

The invention discloses a hierarchical formation control method for a linear multi-agent system. The method comprises the following steps: establishing a state-space equation of the multi-agent system to construct a disturbance system; decomposing a multi-agent formation instruction into a global anchor point instruction and a local deviation instruction; defining a multi-agent error tracking strategy; establishing a communication network of a multi-agent system and a global anchor point system by using the directed graph; the method comprises the following steps: establishing a distributed observer by utilizing adjacent information in a communication network, and realizing estimation of each agent on a global anchor point system; establishing a dynamic gain compensator by using estimation information of the distributed observer to obtain an asymptotic solution of a regulator equation related to the global anchor point system; solving a regulator equation solution related to the disturbance system and the local deviation system; and in combination with the solution of the regulator equation, establishing a collaborative output regulation controller. According to the invention, the transmission quantity of global formation instruction data is reduced, the calculation load of local agents is reduced, and the system operation efficiency and stability are improved.

This invention discloses a method and system for optimizing the distribution of measurement points during dynamic load identification. The method includes: determining the number of measurement points K and the modal cutoff number N; selecting an initial value x1 for the natural mode P = Max(K,N) before solving; and solving the equation to examine whether the equation has P-1 solutions x2, ..., x P If not, the initial value x1 is changed and the solution is solved again until there are P-1 solutions in the solution set. It is then verified whether the initial value and the P-1 solutions ensure that the matrix row vectors are orthogonal and their magnitudes are approximately similar. Based on the P solutions of the equation that satisfy the verification conditions, the measurement point that maximizes load identification stability is obtained. This invention constructs a measurement point location optimization method with the goal of maximizing the stability of the response-load equation. Compared to classical methods, this successfully reduces the ill-conditioned nature of the dynamic calibration matrix.

The application discloses a spacecraft magnetic moment attitude control method based on a non-inverse iteration algorithm, and the method establishes a linear periodic model for a spacecraft attitude control system which only relies on a magnetic moment; on the basis, according to a linear quadratic optimal control theory, an optimal controller design problem is converted into a solution problem of a discrete periodic Riccati equation associated with the optimal controller design problem; on the basis of a gradient descent principle, an error function is constructed, and a non-inverse iteration algorithm based on the gradient descent principle is proposed to solve the discrete periodic Riccati equation, so that a matrix inversion operation in a traditional solution method is avoided, and the calculation efficiency and the numerical stability are effectively improved; the obtained Riccati equation solution is used to obtain an optimal state feedback control law, so that the spacecraft attitude optimal control only using the magnetic moment is realized, and a new solution scheme is provided for an attitude control problem of a limited actuator in a space task.

The application discloses a full-process data processing method and system for fluid mechanics control equations, and local servers are initialized and artificial intelligence agents are used to solve paths related to fluid mechanics control equations, so that the parameter space of a fluid mechanics problem is imported and disassembled; the artificial intelligence agent is used to identify the control equation corresponding to the fluid mechanics problem and batch match example files, and core parameters related to the control equation are extracted; the artificial intelligence agent is used to configure parameters of the control equation; the example file is converted in format and saved locally to the corresponding path; a solver of the control equation is called to perform solving processing, and the result of the solving processing is verified to determine the validity of the result. By constructing a special link for solving the fluid mechanics control equation, automation of the full-process link from problem parameter disassembly, control equation identification, special parameter configuration, format conversion and result verification is realized, and the example processing efficiency and solving accuracy are improved.

The invention relates to the field of satellite navigation effectiveness evaluation, in particular to a satellite navigation confrontation dynamic game effectiveness evaluation method and system, which combines attacker and defender strategies and different scheme combinations to construct a triple game situation that a protection system completely masters, partially obtains and completely knows interference information of a threat party during confrontation. Remodeling a dynamic game model suitable for satellite navigation confrontation; introducing a hybrid evolutionary algorithm to solve a profit equation of linear programming, and proposing an artificial intelligence algorithm based on data envelope, krill group and bootstrap method joint optimization to obtain a globally optimal solution, determine a consistent convergence profit result, complete an optimal decision, and prevent the equation solution from falling into local optimum; finally, dynamic games under different information confrontation situations are achieved through example analysis, the protection benefit of the own navigation system is expanded, and safe application of the navigation system is guaranteed. The method can improve the quantification precision of the game model, changes the previous static performance evaluation mode, and is more suitable for the satellite navigation confrontation dynamic game.

The invention discloses a collaborative formation control method based on a distributed filtering synchronous estimator. The method comprises the following steps: constructing a state-space equation according to a mathematical model of an intelligent agent; defining a global instruction system, and generating a global reference instruction; establishing a communication network of a multi-agent system, and modeling channel disturbance of a global reference instruction; constructing a distributed filtering synchronization estimator based on disturbed output for the global reference instruction influenced by channel disturbance; solving a regulator equation solution to obtain a feed-forward gain matrix for determining the equivalent output feedback controller; and designing and determining an equivalent output feedback controller to generate control input of the intelligent agent so as to realize an expected formation control effect. The distributed filtering synchronization estimator based on disturbed output is provided, a distributed determination equivalence controller is designed, the stability of a closed-loop system is achieved, the motion trail of the intelligent agent approaches to a set trail, and the distributed filtering synchronization estimator has wide application prospects.

The present invention discloses a hierarchical formation control method for a linear multi-agent system, comprising the following steps: establishing a state-space equation for the multi-agent system to construct a disturbance system; decomposing the multi-agent formation instructions into a global anchor point instruction and a local deviation instruction; defining a multi-agent error tracking strategy; establishing a communication network between the multi-agent system and the global anchor point system using a directed graph; utilizing neighboring information in the communication network to establish a distributed observer to enable each agent to estimate the global anchor point system; utilizing the estimated information from the distributed observer to establish a dynamic gain compensator to obtain an asymptotic solution to a regulator equation associated with the global anchor point system; solving the regulator equation associated with the disturbance system and the local deviation system; and combining the solutions to the regulator equation to establish a collaborative output regulation controller. The present invention reduces the amount of global formation instruction data transmitted, reduces the computational load of local agents, and improves system operational efficiency and stability.

The invention relates to a finite element dynamics simulation analysis method for bearing inner ring creep influence factors, and belongs to the technical field of mechanical engineering. The method comprises the following steps: establishing a deep groove ball bearing-stepped shaft finite element dynamic model by using three-dimensional modeling software; obtaining the contact pressure of the interference fit surface of the bearing inner ring and the shaft through finite element analysis, and comparing the contact pressure with an analytic solution of the Lame equation to verify the accuracy of the deep groove ball bearing-stepped shaft finite element kinetic model; and analyzing an influence rule of the magnitude of interference, the radial load and the pre-tightening force on the creep deformation of the bearing inner ring by utilizing finite element transient dynamics. Compared with the prior art, the method has the advantages that the influence rule of different interference magnitudes, radial loads and pretightening forces on the creep of the bearing inner ring is researched, measures for improving the creep resistance of the bearing inner ring are provided according to the influence rule, the defects of an experimental method are overcome, and the method has guidance and reference significance for improving the creep resistance of the bearing in engineering practice.

The application discloses a numerical simulation method and device for a foreland thrust belt, and the method comprises the following steps: determining and acquiring basic parameters required for numerical simulation; constructing a stratum model and setting the stratum model based on the basic parameters; setting boundary conditions for numerical simulation; solving a mass conservation equation, a momentum conservation equation and an energy conservation equation to obtain field data of a velocity field, a pressure field and a temperature field of the stratum model; solving a topographic diffusion equation and a river erosion rate equation to obtain evolution data of topography and geomorphology of the stratum model; solving a flexure isostatic equation to obtain a basement subsidence amplitude of the stratum model; and outputting the calculated data. The application can better simulate a geomorphology evolution process dominated by river erosion in an actual geological process.

The present invention relates to a method and device for eliminating intermediate variables in the process of converting an SCADE model into a Lustre model. The method includes the following steps: Step S1, a process of parsing node or function names; Step S2, a process of parsing variables; Step S3, a process of parsing equations; Step S4, a process of traversing the assigned variables of the equations; Step S5, a process of searching for intermediate variables in the equations; Step S6, a process of outputting the equations. Compared with the prior art, the present invention has advantages such as solving the problem of increased computational complexity caused by a large number of intermediate variables in the SCADE model, etc.

The invention discloses a full-process data processing method and system oriented to a fluid mechanics control equation, and the method comprises the steps: initializing a path and an artificial intelligence agent related to the solution of the fluid mechanics control equation in a local server, so as to import and disassemble a parameter space of a fluid mechanics problem; identifying a control equation and batch matching example files corresponding to the hydromechanics problem through an artificial intelligence agent, and extracting core parameters related to the control equation; performing parameter configuration on the control equation through an artificial intelligence agent; converting the format of the example file and locally storing the example file to a corresponding path; and calling a solver of the control equation to carry out resolving processing, and verifying the result of the resolving processing so as to judge the effectiveness of the result. By constructing the exclusive link for solving the fluid mechanics control equation, an automatic full-process link from problem parameter disassembly, control equation identification, exclusive parameter configuration, format conversion and disintegration verification is realized, and the example processing efficiency and the solving accuracy are improved.

The invention discloses a ship zero-sum game tracking control method based on digital-object dual-drive reinforcement learning. The method comprises the following steps: constructing a data physical dual-drive model; adopting a Lyapunov backstepping method to hierarchically design a ship track tracking feedforward controller; defining a performance index function and a Hamiltonian-Jacobian-Ansaxophone equation based on an error system and a zero-sum game theory, and designing an optimal feedback controller and a worst interference strategy; a fuzzy logic system is utilized to approach an HJI equation solution, and Nash equilibrium of an output estimation value of an optimal feedback controller and a worst interference strategy is obtained; a feedforward controller, an optimal feedback controller and a worst interference strategy are fused, and a final ideal ship controller capable of directly executing an actual control instruction is obtained through constraint processing, so that ship track tracking is realized. The method solves the problems that the existing method generally has the inherent defects of high dependence on high-quality data, weak physical interpretability, insufficient generalization ability to complex working conditions and the like, and is difficult to meet the safety and reliability requirements of ship navigation.

The application discloses a ship zero-sum game tracking control method based on data-physical dual driving and reinforcement learning, which comprises the following steps: constructing a data-physical dual driving model; adopting a Lyapunov backstepping method to design a ship track tracking feedforward controller in layers; defining a performance index function and a Hamilton-Jacobi-Isaacs equation based on an error system and a zero-sum game theory, and designing an optimal feedback controller and a worst disturbance strategy; using a fuzzy logic system to approximate a solution of the HJI equation, and obtaining a Nash equilibrium of estimated values of outputs of the optimal feedback controller and the worst disturbance strategy; and fusing the feedforward controller, the optimal feedback controller and the worst disturbance strategy, and performing constraint processing to obtain a final ideal ship controller which can directly execute an actual control instruction, so that ship track tracking is realized. The application solves the problems of inherent defects of existing methods, such as high dependence on high-quality data, weak physical interpretability, insufficient generalization ability for complex working conditions and the like, and cannot meet the safety and reliability requirements of ship navigation.

The application discloses a kind of gas-spring structure multimode vibration numerical simulation method, terminal equipment and storage medium, based on finite element modeling software and computational fluid dynamics dynamics software Fluent, using mode superposition method to decouple the multi-order vibration equation of system and compile UDF secondary development program embedded solver calculation, realize three-dimensional structure and wind flow field two-way fluid-structure coupling multimode calculation.The application can truly reflect the multimode vibration of actual three-dimensional structure.

The present invention belongs to the technical field of robot speed planning, and in particular relates to a robot time optimal speed planning method and system based on two-step linear programming. The method comprises: based on a cubic B-spline curve, converting the robot speed time optimal speed planning optimization equation into a linearized function about the B-spline control points; according to the derivative analytical characteristics of the B-spline, converting the speed and acceleration constraints in the joint space and the Cartesian space in the robot speed planning into linear constraints expressed by the B-spline control points; scaling the acceleration constraint into a linear constraint equation by an inequality scaling method, and linearizing the dynamic torque constraint equation by adopting the inequality scaling method for the dynamic torque constraint; decoupling the robot speed planning optimization equation into two linear programming sub-equations, and realizing the time optimal speed planning that satisfies the third-order constraint and the dynamic constraint by a two-step linear optimization method.

The application discloses an optimization design method of interior ballistic charge parameters of an ultrahigh-speed fragment launching device. The method adopts a multi-objective simulated annealing algorithm, combines an ultrahigh-speed fragment launching device interior ballistic calculation program and a Runge-Kutta equation solution program, and solves the problem that in the design of an ultrahigh-speed fragment charge, the ultrahigh-speed fragment launching device charge design meeting certain test target requirements cannot be quickly and accurately found, and is suitable for solving the optimization target requirements of various ultrahigh-speed fragment tests.

The application discloses a kind of cogeneration system digital twin model construction methods, comprising clear trusted parameter, selecting benchmark condition, establishing equation, solving equation correct solution and constructing digital twin model.The complex cogeneration heat system is analyzed, the reliability of thermal characteristic parameter is clear, and the equation set is established for the heat system using the parameter with higher reliability, the correct solution of equation set is solved by iterative correction idea, and finally the digital twin model is established using the correct solution, to accurately reflect the purpose of complex cogeneration heat system characteristics by digital twin model, representing.The method provided by the application can establish high-fidelity digital twin model.

The invention discloses an electromagnetic simulation system based on a three-dimensional polysymplectic finite difference time domain method. The electromagnetic simulation system comprises a construction module, a decomposition module and an integration module, the construction module is used for constructing a Dosin form Maxwell equation set of a to-be-simulated electromagnetic field; the decomposition module is used for decomposing the Dosin form Maxwell equation set into a plurality of one-dimensional equations; and the integration module is used for solving the plurality of one-dimensional equations to obtain a plurality of equation solutions, and combining the plurality of equation solutions to complete electromagnetic simulation. The method can adapt to different types of electromagnetic environments, and is suitable for complex geometric structures and multi-scale problems. Meanwhile, flexible parameter setting and optimization schemes are provided, so that the requirements of various engineering applications are met; in addition, according to an existing computing platform and algorithm framework, the method can be easily integrated into an existing simulation tool, and functions and application scenes of the simulation tool are expanded.

The application discloses a flow field parameter determination method, device and equipment for full-basin gas flow and a storage medium, relates to the technical field of full-basin axisymmetric flow calculation, and comprises the following steps: establishing and decoupling Boltzmann model equations to obtain each sub-equation, i.e., a nonlinear source term sub-equation, a convection motion sub-equation and an axisymmetric source term sub-equation; analytically solving the nonlinear source term sub-equation to obtain a molecular velocity distribution function value; taking the value as an initial value, solving the convection motion sub-equation by using a finite volume method to obtain a first distribution function value; taking the value as an initial value, solving the axisymmetric source term sub-equation by using the finite volume method to obtain a second distribution function value, integrating the second distribution function value to obtain a current flow field macroscopic parameter, and judging whether convergence is achieved; if convergence is not achieved, the nonlinear source term sub-equation is updated, and the above steps are repeated until convergence is achieved, so that the target flow field macroscopic parameter is obtained, and the efficiency of determining the full-basin axisymmetric flow field parameter is improved.

The invention relates to a nuclear facility radiation protection solution formulation method based on system thinking, a structure influencing system behaviors is described in a causal loop diagram form, and the method determines representative parameters and typical average values of main variables in a causal loop diagram by determining the main variables in the causal loop diagram; determining a system fundamental mode between adjacent main variables; taking nuclear facility operation benefits as key achievements of the system, and analyzing to obtain all enhancement loops and regulation loops of the system; modeling each enhancement loop and each regulation loop according to each system base mode; the mathematical equations obtained through all loop modeling are combined to obtain the mathematical equation of the whole system; solving a mathematical equation of the whole system, and finding a'fundamental solution 'and a'lever solution' of a nuclear facility radiation protection solution. According to the method disclosed by the invention, except for the narrow radiation protection, comprehensive thinking is carried out from the perspective of system thinking, so that a deeper and more comprehensive radiation protection solution is obtained.

The invention discloses a spacecraft magnetic moment attitude control method based on a non-inverse iterative algorithm, and the method comprises the steps: building a linearized periodic model for a spacecraft attitude control system which only depends on magnetic moment; on the basis, according to a linear quadratic form optimal control theory, an optimal controller design problem is converted into a solving problem of a discrete period Riccati equation connected with the optimal controller design problem; on the basis of the gradient descent principle, by constructing an error function, a non-inverse iterative algorithm based on the gradient descent principle is provided to solve a discrete period Riccati equation, matrix inversion operation in a traditional solving method is avoided, and calculation efficiency and numerical stability are effectively improved; and an optimal state feedback control law is obtained by using the obtained Riccati equation solution, so that spacecraft attitude optimal control only using the magnetic moment is realized, and a new solution is provided for the attitude control problem of a limited actuator in a space task.

The invention discloses a relay electromagnetic field finite element model reduced-order parallel acceleration calculation method, and belongs to the technical field of relays. Constructing electromagnetic dynamic characteristics and an electromagnetic field equation of the relay; establishing a relay electromagnetic finite element model; a transmission line iteration method is introduced, a high-order nonlinear equation of the electromagnetic finite element model is decoupled into a high-order linear equation and a plurality of low-order nonlinear equations, and parallel acceleration calculation of the low-order nonlinear equations of the electromagnetic finite element model is achieved; a relay improved eigenorthogonal decomposition model order reduction parallel finite element method is provided, order reduction is carried out on a high-order linear equation after the electromagnetic finite element model is decoupled, and rapid calculation of the electromagnetic finite element model of the relay is achieved. According to the method, the calculation and analysis efficiency of the electromagnetic field characteristics of the relay is improved, the design and research and development cycle of the relay is shortened, a new method is provided for rapid calculation of the electromagnetic characteristics of the relay, and intelligent optimization and high-end intelligent manufacturing of the relay can be effectively assisted.

The present invention relates to a method for measuring the three-dimensional trajectory of underground pipelines based on an integrated navigation system, belonging to the field of trenchless technology, and solves the problem of poor measurement accuracy of the three-dimensional trajectory of underground pipelines in the prior art. The steps of the present invention include: Step 1: Establish an error model of the MEMS gyroscope and accelerometer; Step 2: Establish error equations for velocity, position, and attitude; Step 3: Determine the state variables and state equations according to the motion characteristics of the pipeline measuring instrument, the MEMS sensor error model, and the velocity, position, and attitude error equations; Step 4: Use the MEMS magnetometer, odometer, and quasi-zero velocity information as external measurements to establish a measurement equation for the Kalman filter; Step 5: Discretize the Kalman filter continuous system; Step 6: Solve the Kalman filter equation, compensate the output data of the gyroscope and accelerometer according to the solution results, and correct the velocity, attitude, and position results at the same time. The present invention improves the measurement accuracy of the three-dimensional trajectory of the pipeline.