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39 results about "Holonomic constraints" patented technology

In classical mechanics, holonomic constraints are relations between the position variables (and possibly time) which can be expressed in the following form: f(q₁,q₂,q₃,…,qₙ,t)=0 where {q₁,q₂,q₃,…,qₙ} are the n coordinates which describe the system. For example, the motion of a particle constrained to lie on the surface of a sphere is subject to a holonomic constraint, but if the particle is able to fall off the sphere under the influence of gravity, the constraint becomes non-holonomic.

Unmanned path planning method, system and device thereof

The invention discloses an unmanned path planning method, a system and a device thereof. The method comprises the following steps: acquiring environment perception information and vehicle positioningand navigation information, wherein the environment perception information contains barrier information, curb information and lane line information, and the vehicle positioning and navigation information contains vehicle pose and a target path; conducting subpath generation according to the environment perception information and the vehicle positioning and navigation information to obtain a candidate subpath which satisfies vehicle constraints; conducting collision detection on the candidate subpath which satisfies vehicle constraints, so as to obtain a collisionless candidate subpath; conducting subpath search on the collisionless candidate subpath by A* search algorithm; and obtaining a vehicle local path according to the subpath search result. The requirement on storage space is low, and the requirement on nonholonomic constraints of vehicles can be met. The method of the invention has advantages of good adaptability and good extensibility, and can be widely applied in the field ofautomatic drive.
Owner:GUANGZHOU XIAOPENG MOTORS TECH CO LTD

Collaborative path planning method for kinematic redundant two-arm space robot

ActiveCN110104216AImplementing a collaborative path planning methodSmall attitude disturbanceProgramme-controlled manipulatorCosmonautic vehiclesKinematics equationsDynamic balance
The invention discloses a collaborative path planning method for a kinematic redundant two-arm space robot. The collaborative path planning method for the kinematic redundant two-arm space robot comprises the following steps that a dynamic equation and a kinematic equation of a space robot system are established; a redundant solution of an inverse kinematics equation of an end-effector is solved,and a system non-holonomic constraint equation is obtained through a momentum conservation equation; a task space constraint equation of the relationship between the end-effector motion and the attitude of a base is obtained through the system non-holonomic constraint equation; the path planning of the end-effector in a task space is obtained by using a quintic bezier curve, and path execution time is determined by the velocity and acceleration boundary of the end-effector; and the joint motion trajectory planning corresponding to different task priorities is obtained through the end-effectormotion equation and the task space constraint equation. The collaborative path planning method of the space two-arm robot is implemented, various tasks can be performed according to the priorities ofthe tasks such as a multi-arm collaborative task and a dynamic balancing task, and the operation ability of a space manipulator is greatly expanded.
Owner:RES & DEV INST OF NORTHWESTERN POLYTECHNICAL UNIV IN SHENZHEN +1

Error model predictive control method based on kinematics modeling of omnidirectional mobile robots

The invention discloses an error model predictive control method based on kinematics modeling of omnidirectional mobile robots. The error model predictive control method comprises the following stepsthat S11, a velocity constraint kinematics model is established between FM-OMR four Mecanum wheels; S12, a tracking error kinematics model of a FM-OMR is established; S13, aiming at the trajectory tracking problem of the FM-OMR and the tracking error kinematics model, an error model predictive controller combined with a velocity constraint equation is designed; and S14, according to the error model predictive controller, effective trajectory tracking parameters between the omnidirectional mobile robots are controlled so as to enable tracking errors between the omnidirectional mobile robots toremain unchanged. According to the error model predictive control method based on the kinematics modeling of the omnidirectional mobile robots, the error model predictive control method based on the trajectory tracking error kinematics modeling is provided aiming at the omnidirectional mobile robots with the four Mecanum wheels, the non-holonomic constraint problem of the effective trajectory tracking control is solved, and the accuracy and the validity are realized.
Owner:SOUTH CHINA UNIV OF TECH

A flexible multi-body robot modeling and solving method based on multi-dimensional reconstruction and correction

The invention discloses a flexible multi-body robot modeling and solving method based on multi-dimensional reconstruction correction, This method is successively performed by: A mathematical model ofrigid component and a flexible component are respectively constructed and parameters are set, the holonomic constraint conditions of a flexible multi-body robot system are established, the static anddynamic equations of flexible multi-body robot system with holonomic constraints are obtained, According to the known state parameters of t-time, the state parameters of t + h-time are obtained by iterative solution of dynamic equations under complete constraints using multi-dimensional reconstruction and correction method, and the state parameters of t + h-time are obtained by repeated iterativeprocess until the end of the algorithm. The forward and inverse dynamic models of flexible multi-body robot with holonomic constraints are established by the modeling and solving method, and the dynamic equations are solved iteratively by using the multi-dimensional reconstruction and correction algorithm. The modeling is complete and the solving scale is small. Compared with the traditional solving method, the convergence condition is easier to be satisfied, and the efficiency of calculation and solution is improved.
Owner:TIANJIN UNIVERSITY OF TECHNOLOGY

Orbit expansion based multi-robot tracing formulation control method

The invention discloses an orbit expansion based multi-robot tracing formulation control method, comprising the following steps of: a) for a group of target orbit in a plane, expanding vectors of the target orbit, which point to each point on the orbit along the center of the target orbit, into an orbital cluster equivalent to an orbital function, and determining the movable range of robots; b) calculating tracing error by virtue of the orbital function, and designing the virtual angular velocity of the robots to ensure the tracing error to meet design requirements; c) calculating the generalized arc length and differential coefficient of the generalized arc length when the robots move along the orbit, by virtue of the orbital function and the target orbit, and designing the control force of the robots by virtue of neighbor information obtained by communication to realize formulation; d) calculating the error between the real angular velocity and the virtual angular velocity, and designing the control moment of force of the robot to complete tracing; and e) completing motion control on the robots by virtue of a servo system. The orbit expansion based multi-robot tracing formulation control method disclosed by the invention is especially applicable to nonholonomic constraint dynamic robots and simple and convexly- closed orbits. The method is simple and reliable, has higher accuracy and can be applied to multi-robot optimized information acquisition and the like.
Owner:SOUTHEAST UNIV

Unified automatic driving transverse planning method and system

ActiveCN106371439ASimplify the upper-level behavior decision-making moduleAvoiding the local minima problemPosition/course control in two dimensionsVehiclesPerformance indexLocal environment
Disclosed is a unified automatic driving transverse planning method. The method comprises the following steps: describing vehicle surrounding environment information in a unified mode; based on the unifiedly described vehicle surrounding environment information, planning an executable locus in real time in a driving process of a vehicle; executing the executable locus to guide the vehicle to run transversely; and through the previous three steps, realizing optimal local locus planning based on various constraints, performance indexes and driving behaviors. Disclosed is also a unified automatic driving transverse planning system. The system comprises an environment model sub-module, a planning algorithm sub-module and a vehicle control sub-module, wherein the environment model sub-module, according to environment perceiving information, in accordance with traffic rules and properties of traffic participants, constructs a unified local environment model, describes the vehicle surrounding environment information in a unified mode and reflects a potential dangerous degree around the vehicle; and the planning algorithm sub-module takes vehicle nonholonomic constraints and safety and comfortableness requirements into consideration, and based on the environment model, planning the executable locus in real time in the driving process of the vehicle.
Owner:TONGJI UNIV

Multi-body-dynamics-equation solving method based on Bathe integration strategy

The invention discloses a multi-body-dynamics-equation solving method based on a Bathe integration strategy. The method includes: establishing a corresponding coordinate system in a multi-body dynamics system, and using a relative-coordinate method and a Lagrangian-multiplier method to obtain dynamics equations according to a virtual-power principle; seeking a second derivative of a constraint equation with respect to time to obtain differential-algebraic equations of an index -1, and adding constraint stability terms to form a general form of the dynamics equations with complete constraints;carrying out integration iteration solving on the general form of the dynamics equations with the complete constraints on a time step [t, t+h / 2] to obtain motion parameters of a moment t+h / 2; carryingout integration iteration solving on a time step [t+h / 2, t+h] to obtain the motion parameters of a moment t+h; and carrying out repeated iteration calculation, outputting values of generalized displacement, velocity and acceleration, which are of a system and are changed over time, when calculation time reaches set total simulation time, and thus analyzing motion status of the multi-body process-closed-loop dynamics system in certain time. The method can also achieve better precision in a case of larger integration step length.
Owner:NANJING UNIV OF SCI & TECH

Methods and apparatus for blind separation of multichannel convolutive mixtures in the frequency domain

A method and apparatus is disclosed for performing blind source separation using frequency-domain normalized multichannel blind deconvolution. The multichannel mixed signals are formed as frames of N samples, which consist of r consecutive blocks of M samples. The frames of mixed signals are separated using separating filters in the frequency domain in an overlap-save manner using a discrete Fourier transform(DFT). The separated signals are then converted back into the time domain using the inverse DFT to be applied to a nonlinear function. The cross-power spectra between separated signals and nonlinear-transformed signals are computed and are normalized by the power spectra of separated signals and the power spectra of nonlinear-transformed signals to have flat spectra. The invention then applies the time domain constraint to preserve the first L cross-correlations. These alias-free normalized cross-power spectra are further constrained by nonholonomic constraints. The invention then computes natural gradient by convolving alias-free normalized cross-power spectra with separating filters. After the length of separating filters is constrained to L, separating filters are updated using the natural gradient and normalized to have unit norm. The terminating conditions are checked to see if separating filters converged.
Owner:南 承铉

Method for optimizing joint angles of under-actuated mechanical arms on basis of improved particle swarm algorithms

An embodiment of the invention discloses a method for optimizing joint angles of under-actuated mechanical arms on the basis of improved particle swarm algorithms. The method includes building planarthree-degrees-of-freedom passive-active-active type (PAA type) under-actuated mechanical arm kinetic models; reducing order of each under-actuated mechanical arm kinetic model with non-holonomic constraint characteristics by the aid of back-stepping control thoughts to obtain two passive-active type (PA type) subsystems, and making relations between the joint angles and the locations of the tail ends of mechanical arms definite; utilizing difference values of the locations of the tail ends of the under-actuated mechanical arms and target locations as target functions, leading in simulated annealing Metropolis acceptance criteria and congestion degree factors of artificial fish school algorithms and solving the corresponding optimal joint angles for reaching the target locations. Accordingto the technical scheme, the method has the advantages that the local optimization trapping probability of optimization algorithms can be lowered during under-actuated mechanical arm location control,and the solving precision can be improved.
Owner:BEIJING UNIV OF POSTS & TELECOMM

Mechanical modeling method for nonholonomic constraint system

The invention discloses a mechanical modeling method for a nonholonomic constraint system. The mechanical modeling method comprises the steps of introducing an intermediate variable to describe a nonholonomic constraint relation according to the complexity of nonholonomic constraints when constraint analysis is carried out; revealing independent generalized velocity information included in kinetic energy through the constraint analysis, extracting a coefficient of a product item of independent generalized velocity and defining the coefficient as the intermediate variable, and changing the kinetic energy into a new form of expression; in a modeling process, calculating partial derivatives of some function variables to generalized coordinates or total derivatives of the function variables to time massively, establishing a function-variable implication relation table and introducing composite derivation to solve by analyzing a variable subordinate structure; and defining several structural arrays to store calculation results since the calculation of the influence of the nonholonomic constraints on the system is more complex. In order to avoid a model expansion problem caused by back substitution of the intermediate variable, the calculation expression of the model needs to be outputted in a reverse order.
Owner:GUILIN UNIV OF ELECTRONIC TECH

Built-in Nonholonomic Spherical Constraint Structure

The invention relates to a structure with an incomplete spherical constraint added inside. The structure with the incomplete spherical constraint added inside comprises a spherical shell, a idler wheel supports, idler wheels, idler wheel shafts, a servo motor and a big support, wherein the big support is in a T shape, one end of a cross rod of the big support is fixedly connected with the servo motor, the idler wheel supports are fixedly connected with the servo motor through keys, the idler wheel shafts are fixedly connected with the idler wheel supports, and the idler wheels are connected with the idler wheel supports in a rotary mode; the same structure is connected to the other end of the cross rod of the big support, and the structures at the two ends of the cross rod of the big support are distributed symmetrically relative to a vertical rod shaft of the big support; the spherical shell makes contact with the idler wheels in a purely sliding mode, in other words, the idler wheels can only roll along the spherical shell and can not slide, and the directions of the axes of the idler wheels at the two ends are in the parallel and symmetrical state all the time. According to the structure with the incomplete spherical constraint added inside, the incomplete constraint is directly added into a spherical surface, an internal compete spherical constraint is omitted, space is saved, and meanwhile precision is improved.
Owner:SHANGHAI UNIV

Orbit expansion based multi-robot tracing formulation control method

The invention discloses an orbit expansion based multi-robot tracing formulation control method, comprising the following steps of: a) for a group of target orbit in a plane, expanding vectors of the target orbit, which point to each point on the orbit along the center of the target orbit, into an orbital cluster equivalent to an orbital function, and determining the movable range of robots; b) calculating tracing error by virtue of the orbital function, and designing the virtual angular velocity of the robots to ensure the tracing error to meet design requirements; c) calculating the generalized arc length and differential coefficient of the generalized arc length when the robots move along the orbit, by virtue of the orbital function and the target orbit, and designing the control forceof the robots by virtue of neighbor information obtained by communication to realize formulation; d) calculating the error between the real angular velocity and the virtual angular velocity, and designing the control moment of force of the robot to complete tracing; and e) completing motion control on the robots by virtue of a servo system. The orbit expansion based multi-robot tracing formulation control method disclosed by the invention is especially applicable to nonholonomic constraint dynamic robots and simple and convexly- closed orbits. The method is simple and reliable, has higher accuracy and can be applied to multi-robot optimized information acquisition and the like.
Owner:SOUTHEAST UNIV
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