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564 results about "Equations of motion" patented technology

In physics, equations of motion are equations that describe the behavior of a physical system in terms of its motion as a function of time. More specifically, the equations of motion describe the behaviour of a physical system as a set of mathematical functions in terms of dynamic variables: normally spatial coordinates and time are used, but others are also possible, such as momentum components and time.

Self-adaptive index time varying slip form posture control method of reentry flight vehicle

The invention relates to a self-adaptive index time varying slip form posture control method of a reentry flight vehicle, belonging to the technical field of flight vehicles. The method comprises the steps of firstly establishing a posture motion equation in a mode that a powerless reentry flight vehicle model is used as an object; secondly modifying the equation into the mode of an MIMO (Multiple Input Multiple Output) affine non-linear system, further applying a feedback linearization principle to carry out linearization processing so as to obtain a three-channel linearization model of pitching, rolling and yawing; aiming at the obtained linearization system, designing a modified self-adaptive index time varying slip form controller; and subsequently obtaining a control moment instruction for the posture control of the reentry flight vehicle, and inputting the control moment instruction into the reentry flight vehicle so as to control the posture. By combining the index time varying slip form control with a self-adaptive method, the problem of excessive adaptation of switch gain in the self-adaptive slip form control is solved to a certain extent, the uncertainty of system parameters and the influence of external disturbance can be suppressed effectively, and the precise posture control is realized.
Owner:BEIJING INSTITUTE OF TECHNOLOGYGY

Flywheel based attitude maneuvering control device and method for successive approaching of satellite rounding instantaneous Euler shaft

The invention discloses flywheel based attitude maneuvering control device and method for successive approaching of a satellite rounding an instantaneous Euler shaft and relates to control device and method for satellite attitude adjustment. The invention is provided for solving the problems of great fuel consumption, short service life of a satellite, complex configuration of an air injecting control system and difficult reduction of size and weight of the satellite existing in the realization of satellite wide-angle attitude maneuvering by adopting air injecting control. The method comprises the following steps of: setting a parameter of the control device according to the system requirement of the control device and obtaining attitude deviation angular velocity according to a motion equation; and expressing a relationship of the instantaneous Euler shaft and a deviation angle of the current attitude and a target attitude of the satellite by an attitude error quaternion to obtain a control signal, calculating to obtain a flywheel control input moment vector calculated by a satellite controller, to be used as a data control command as a basis for generating moment by a back action flywheel. The invention does not consume other resources on the satellite or consume fuel, prolongs the service life of the satellite and can be widely suitable for various satellites needing attitude maneuvering.
Owner:HARBIN INST OF TECH

System and method for locating inspection robot in petrochemical plant

ActiveCN108225302AGuaranteed seamless positioningObservation synchronizationNavigation by speed/acceleration measurementsSatellite radio beaconingPetrochemicalGlobal Positioning System
The invention discloses a system and a method for locating an inspection robot in a petrochemical plant. The system comprises a global positioning system (GPS) observation unit, an ultra-wide bandwidth (UWB) observation unit, a visual observation unit, a laser observation unit, a mileage observation unit, a combination decision module, an inertial state estimation module, an available positioningobservation/strapdown inertial navigation system (SINS) combination module, and a positioning information fusion module. The GPS observation unit, the UWB observation unit, the visual observation unit, the laser observation unit and the mileage observation unit acquire the respective observation data and send same to the combination decision module; the combination decision module performs multi-layer map-based positioning by combining an environmental map model stored in an environmental model prior information module so as to determine available observation types; the available positioning observation/SINS combination module combines available observation data with a corresponding motion equation established by an inertial state estimation module, and the combined result is sent to the positioning information fusion module for carrying out final integrated pose estimation. The system and the method solve the problem of seamless positioning of the inspection robot which runs in various complicated regions of the petrochemical plant, and guarantee the continuity of a positioning process and the stability of the positioning result.
Owner:CHINA UNIV OF MINING & TECH +1

Accurate track tracking control method based on finite time expansion state observer

ActiveCN108828955AOvercome limitationsPrecise track tracking control performanceAdaptive controlKinematics equationsMathematical model
The present invention provides an accurate track tracking control method based on a finite time expansion state observer. The method comprises the following steps of: establishing a mathematical modeland a kinematic equation representing current unmanned ship motion features, designing a combined nonsingular rapid terminal sliding-mode control law according to the unmanned surface ship motion tracking errors and a nonsingular rapid terminal sliding-mode surface, designing a finite time expansion state observer according to the unmanned ship motion features, and designing an accurate track tracking control law according to the combined nonsingular rapid terminal sliding-mode control law and the finite time expansion state observer. Through design of the finite time expansion state observer, the lump interference comprising external interference and a complex nonlinear term can be observed by the finite time to a small enough range to avoid the limitation of the approximation observation. Through the designed combined nonsingular rapid terminal sliding-mode control law and the nonsingular rapid terminal sliding-mode unmanned ship track tracking controller, the accurate track tracking control method achieves the accurate track tracking control performance in a complex external interference.
Owner:DALIAN MARITIME UNIVERSITY

Recognition method of critical geometrical error source of machine tool

The invention discloses a recognition method of a critical geometrical error source of a machine tool and belongs to the technical field of machine precision designing. The recognition method of the critical geometrical error source of the machine tool is characterized by comprising the steps that the machine tool is abstracted into a multi-body system according to the structure and motion characteristics of the machine tool, relevance of parts of the machine tool is described by a topological structure and a low-order body array, a generalized coordinate system is built in the multi-body system, coupling relationship of error amounts of parts of the machine tool is described by a homogeneous transformation matrix, a characteristic matrix and a motion equation of the relative movement between two adjacent bodies of the machine tool are elicited, a precision model of a machining center is built, an ordinary mathematical model used for error sensitivity analysis of a four-shaft machine tool is built with a matrix differential method according to the precision model of the precision horizontal machining center, influence degrees on the whole space error of all error elements are compared by calculating the geometrical error sensitivities of all parts, and finally the critical error source influencing the machining precision of the machine tool is recognized.
Owner:BEIJING UNIV OF TECH +1

Bending stiffness-considered numerical computation method for stay cable forces

The invention relates to a bending stiffness-considered numerical computation method for stay cable forces, comprising the following steps of: 1, measuring the vibration of a stay cable to obtain the vibration frequency which are actually measured, and estimating the force of the stay cable to obtain the estimated force value; 2, putting the characteristic value of the stay cable and the estimated force value to an in-plane equation of motion of the stay cable based on the flexural rigidity, and utilizing a limited difference value method to solve, and then obtaining the vibration computing frequency of the stay cable; 3, computing the difference between the computing frequency and the really measured frequency of the vibration of the stay cable, if the difference is in the allowed error range, judging the estimated force value to be the actual force value of the stay cable and ending up the algorithm, if the difference is not in the allowed error range, adjusting the estimated force value, performing the loop iteration until that the difference between the computed frequency and the actual frequency is located in the allowed error range, and adopting the estimated force value after being adjusted as the actual force value. The method is in favor of improving the accuracy of the force measurement result of the stay cable.
Owner:FUZHOU UNIV

PSD range finding-based AGV accurate positioning method

A PSD (position sensitive detector) range finding-based AGV (automated guided vehicle) accurate positioning method comprises the following steps: (1) allowing the positioning precision of the AGV to be in + / - 10 mm in a visual guidance manner; (2) using PSD range finding to measure the coordinates of two reference points after the coarse positioning of the AGV is completed, and determining the current transverse and longitudinal offset distance and the offset angle of the AGV according to a linear equation in order to obtain the current pose of the AGV; (3) inputting the current pose and the target pose of the AGV, establishing the motion equation of the AGV, and calculating the yaw angle and the rotating angle of the AGV; (4) realizing the pose adjustment through the Mecanum wheel-based omnidirectional movement (forward and backward straight movement, leftward and rightward traverse movement, oblique movement at any angle, 0-revolution radius in-place rotation, and combination of all above movements) of the AGV; and (5) resolving the pose of the AGV in real-time in the AGV pose adjustment process until the positioning accuracy reaches up to + / - 0.3mm. The method has the advantages of high positioning accuracy, simplicity in calculation, and easiness in engineering realization.
Owner:BEIJING SATELLITE MFG FACTORY

Wireless positioning method under visual distance and non-visual distance mixed environment

The invention relates to a wireless locating method which can be used for location with high degree of accuracy in a mixed environment of sight distance and non-line of sight. The method first sets up motion equations and observation equations of wireless location and then expresses state transition probability model of the non-line of sight and the sight distance, which can make use of rectified extended Kalman filter (EKF) to estimate the motion state and the non-line of sight state according to measured values obtained by every base station and then blends the motion state and the non-line of sight state together through the use of a data fusion method to get the estimation of the motion state at the present moment and at last on-line wireless device position solutions can be realized through loop iteration. The method of the invention can effectively solve the non-line of sight influence in wireless location so as to effectively improve the motion state estimation of wireless devices, which has robustness to LOS/NLOS transition probability in different environments. At the same time, the method is suitable for VLSI parallel processing, operand can meet real time requirements, and the method is suitable for different signal measuring methods such as TOA, RSS, etc.
Owner:JIANGSU UNIV

Quick trajectory programming method based on smooth glide trajectory analytic solution

The invention discloses a quick trajectory programming method based on a smooth glide trajectory analytic solution. The quick trajectory programming method based on the smooth glide trajectory analytic solution includes that step 1, modeling glide trajectory programming problems; step 2, designing glide trajectory programming variables; step 3, calculating a glide trajectory analytic solution; step 4, designing a glide trajectory terminal speed control scheme; step 5, designing a glide trajectory re-entry corridor regulating proposal; step 6, generating initial values of glide trajectory programming; step 7, designing a glide trajectory programming flow. The quick trajectory programming method based on the smooth glide trajectory analytic solution uses longitudinal maneuvering acceleration proportion coefficients and transverse maneuvering acceleration proportion coefficients as the glide trajectory programming variables so that differential equations of the trajectory inclination angle, trajectory deflection angle, height, longitude and latitude in motion equations do not comprise a speed item. The quick trajectory programming method based on the smooth glide trajectory analytic solution obtains the glide trajectory analytic solution corresponding to a fixed longitudinal maneuvering acceleration proportion coefficient and a fixed transverse maneuvering acceleration proportion coefficient.
Owner:BEIHANG UNIV

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
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