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173 results about "Optimal trajectory" patented technology

The optimal trajectory depended on both the anthropometric characteristics and accuracy of the shooter, but generally a high backspin with an angle and speed combination which sent the ball closer to the far rim of the basket than the near rim was advantageous. We provide recommendations for shooters as a function of the height of ball release.

Dynamic automatic drive lane-changing trajectory planning method based on real-time environment information

The invention discloses a dynamic automatic drive lane-changing trajectory planning method based on real-time environment information. A rollover limitation trajectory vertical coordinate, an optimal trajectory and a collision avoidance trajectory terminus security area are calculated; the relation between the rollover limitation trajectory vertical coordinate and the security area is compared, the positional relation between the optimal trajectory vertical coordinate and the security area is further compared, and then lane-changing decision-making is conducted. According to the dynamic automatic drive lane-changing trajectory planning method based on the real-time environment information, and a polynomial trajectory equation which dose not depend on time is adopted to represent a lane-changing trajectory curve, so that the problem that hypotheses of a speed and an accelerated speed are too strong is avoided; furthermore, collision avoidance algorithm and rollover prevention algorithm which are based on reaction time are introduced to guarantee security of lane-changing; then the optimal trajectory in a safe trajectory cluster is determined through real-time speed adjusting; and finally, an optimal lane-changing trajectory of real-time dynamic state is output through a trajectory generation module to guide an autonomous vehicle to complete a lane-changing behavior, and therefore a set of complete dynamic autonomous vehicle lane-changing trajectory planning module is built.
Owner:SOUTHWEST JIAOTONG UNIV

Genetic-algorithm-based trajectory planning optimization method for mobile mechanical arm

ActiveCN103235513AExcellent exercise timeReduce wearAdaptive controlMathematical modelCurve fitting
The invention relates to a genetic-algorithm-based trajectory planning optimization method for a mobile mechanical arm. According to the technical scheme, the method comprises the following steps of first establishing a forward kinematic model and an inverse kinematic model of a multi-degree-of-freedom mobile mechanical arm; then fitting a joint trajectory by adopting a composite curve of a quartic polynomial mathematical model and a quintic polynomial mathematical model, and calculating solutions of the corresponding mathematical models according to a linear constraint equation; next selecting a trajectory optimization target according to the principles of shortest motion time, minimum spatial motion distance and less than or equal to maximum set joint torque of the mobile mechanical arm; and finally globally optimizing the optimization target by utilizing a genetic algorithm to obtain an optimal trajectory curve of an end actuator of the mechanical arm. According to the method, the trajectory planning efficiency and the tracking accuracy of the mechanical arm are improved, and the problems of real-time trajectory planning of the mobile mechanical arm and trajectory planning optimization and control of the mechanical arm in an uncertain environment are also solved; and the trajectory planning optimization method for the mobile mechanical arm is effective.
Owner:WUHAN UNIV OF SCI & TECH

Intersection condition-orientated unmanned vehicle trajectory planning method based on Bezier curve and VFH algorithm

The present invention provides an intersection condition-orientated unmanned vehicle trajectory planning method based on the Bezier curve and the VFH algorithm. The method includes the following steps that: 1) the starting point pose P0 (x0,y0,theta0) and destination point pose P3 (x3,y3,theta3) of current trajectory planning are acquired; 2) a trajectory cluster A1 from the starting point pose P0 (x0,y0,theta0) to the destination point pose P3 (x3,y3,theta3) is generated through adopting a three-order Bezier curve model; 3) the trajectory cluster A1 is screened according to a maximum curvature constraint, so that a trajectory cluster A2 is obtained, collision detection is performed on A2, so that a collision-free trajectory cluster A3 is obtained; 4) if A3 is not empty, an optimal trajectory is selected from A3 according to a trajectory smoothest principle and is outputted to a control layer, and the method is terminated, otherwise, the method shifts to step 5; 5) a movement region in the original VFH algorithm is improved, so that a fan-shaped movement region is built; 6) obstacle information is utilized to establish a grid map; 7) the fan-shaped movement region is divided into a plurality of fan-shaped regions, and whether an obstacle exists is judged; 8) the Bezier curve is used in combination, and optimal trajectory points are selected; and 9) with a discrete point set generated in the step 8 adopted as control points, a B-spline curve is generated, and the B-spline curve is adopted as the final trajectory of an unmanned vehicle.
Owner:XI AN JIAOTONG UNIV

Real-time trajectory planning method for autonomous vehicle

The invention discloses a real-time trajectory planning method for an autonomous vehicle. The real-time trajectory planning method comprises the steps of: S1, acquiring relevant information of the autonomous vehicle in real time; S2, generating a reference trajectory, a feasible trajectory cluster determined by means of the reference trajectory and a speed corresponding to each feasible trajectoryin the feasible trajectory cluster based on the relevant information of the autonomous vehicle; S3, calculating an action of each feasible trajectory according to the feasible trajectories and the corresponding speeds thereof by utilizing a target optimization function taking safety and efficiency as targets, and selecting the feasible trajectory with the least action as the expected optimal trajectory, and carrying out optimization to obtain an expected optimal velocity corresponding to the expected optimal trajectory, wherein the target optimization function is obtained according to the principle of least action and an equivalent force method. The real-time trajectory planning method can enable the autonomous vehicle to imitate driving features of a driver in an unknown environmental condition, and can plan a trajectory that best meets the driver's driving expectation by taking the safety and efficiency as the driving targets according to the surrounding vehicles and environmental information in real time.
Owner:TSINGHUA UNIV

Dynamic trajectory planning method for unmanned vehicle based on local optimum

The invention belongs to the technical field of a path planning for unmanned vehicles, and especially relates to a dynamic trajectory planning method for an unmanned vehicle based on local optimum. The method is characterized by, according to different positions and corresponding different operating conditions of obstacle vehicles on the road, selecting an optimal reference trajectory and carryingout dynamic trajectory planning; analyzing unmanned vehicle lane change intention generation and lane change executable conditions, and according to the prediction of the position and speed of surrounding obstacle vehicles, carrying out fitting to obtain a locally optimal lane change trajectory at the initial moment when obstacle avoidance lane change is decided, and serving the optimal trajectory as a local reference trajectory; and generating a trajectory cluster that can be driven by the unmanned vehicles and combining designed velocity distance and cost functions with a loss function, andselecting an optimal trajectory from the trajectory cluster through nonlinear model predictive control. The method can realize obstacle avoidance, lane change and overtaking in various complex conditions, and also takes into account the comfort of passengers in the unmanned vehicles and road driving efficiency and the like.
Owner:NORTHEASTERN UNIV

Model-constraint-based mechanical arm energy optimal trajectory planning control method and device

The invention relates to a model-constraint-based mechanical arm energy optimal trajectory planning control method and device. The model-constraint-based mechanical arm energy optimal trajectory planning control method comprises the steps that initial conditions are set and mechanical arm joint angle position description with respect to time is calculated and obtained through a cubic spline interpolation algorithm; on base of the mechanical arm joint angle position description and in combination with a dynamics model, a continuous function of moment with respect to time is obtained; a nonlinear constrained planning model taking mechanical arm movement energy consumption as the optimizing target is established, and in combination with the mechanical arm joint angle position description, thecontinuous function of the moment with respect to time and friction force energy consumption, energy consumption of a target function is solved; and on base of the nonlinear constrained planning model taking mechanical arm movement energy consumption as the optimizing target, the minimum value of energy optimal trajectory planning is iteratively solved adopting a sequential quadratic planning algorithm, and a mechanical arm optimal trajectory is obtained. Compared with the prior art, the model-constraint-based mechanical arm energy optimal trajectory planning control method and device do notneed a large number of complex calculation and have good real-time performance, and energy consumption is least.
Owner:SHANGHAI NORMAL UNIVERSITY

Unmanned surface ship optimal trajectory tracking control method based on reinforced learning method

The invention provides an unmanned surface ship optimal trajectory tracking control method based on a reinforced learning method. The unmanned surface ship optimal trajectory tracking control method based on the reinforced learning method comprises the following steps: S1, establishing an unmanned surface ship system mathematical model and a desired trajectory system mathematical model without considering a disturbance condition; S2, establishing a dead zone mathematical model, so as to obtain an unmanned surface ship system mathematical model introducing the dead zone; and further obtaining an tracking error system; S3, establishing an identifier system; and S4, evaluating whether the control strategy meets the requirements or not through an optimal cost function; if the control strategymeets the requirements, outputting the control strategy to the unmanned surface ship system as an optimal control strategy; and if the control strategy does not meet the requirements, evaluating whether the regenerated control strategy meets the requirements or not through the optimal cost function, and repeating the above process until the optimal control strategy is obtained and output to the unmanned surface ship system. The invention solves the technical problem that the unmanned ship optimal control method in the prior art does not consider the dead zone or completely unknown system dynamics, and the accuracy and robustness of the control system are reduced.
Owner:DALIAN MARITIME UNIVERSITY

Explicit guidance law for rocket with terminal speed, trajectory inclination angle and overload constraint

The present invention provides an explicit guidance law for a rocket with a terminal speed, a trajectory inclination angle and overload constraint. The explicit guidance law for a rocket is formed by integration of an optimal trajectory-shaping guidance law and a terminal speed control scheme. The optimal trajectory-shaping guidance law can control an aircraft to hit a target from a predetermined direction, the terminal speed control scheme controls the transverse maneuverable accelerated speed of the aircraft bending so as to control the prolonging of flight distance to regulate the size of the terminal speed, and the size of the transverse maneuverable accelerated speed is determined through an iteration correction algorithm. The analysis guidance law can satisfy the terminal trajectory inclination angle and the terminal speed constraint, and allow an aircraft to approach to the maneuverable accelerated speed of the target to gradually decrease to 0; further, the present invention provides a method for determination of coefficients of guidance law for a rocket, namely the coefficients of guidance law for a rocket are determined through proper selection of features of a linear approximation system; and moreover, a coefficient stability domain of the guidance law for the rocket is obtained so as to strictly prove that only if the coefficients of guidance law for a rocket are in the stability domain the guiding system is stable and the aircraft hits a target at a small angle of attack.
Owner:BEIHANG UNIV

Global time optimal trajectory programing method of industrial robot dynamic speed regulation

The invention provides a global time optimal trajectory programming method of industrial robot dynamic speed regulation. The global time optimal trajectory programming method comprises the steps thattrajectory points which may overrun are detected in advance by a searching mechanism based on iterative backwards of a fixed searching range, the trajectory points are divided into three classes according to the overrun conditions, corresponding algorithms are provided by a nonlinear problem segmentation linear idea, and particularly when a joint deceleration overruns, pushback and nudge of the trajectory points and a peak cut algorithm are combined to perform speed regulation. Algorithm dynamic speed regulation enables the overrunning trajectory points to meet constraint requirements, starting points of the searching range are continually issued to perform, and synchronous operation of searching detection, dynamic speed regulation and trajectory execution is ensured. By performing smoothing and limiting regulation on the velocity of movement and acceleration of a robot cartesian space and joint space synchronously, an original trajectory is guaranteed to move at a reasonable speed andin a constraint condition range; and time optimal of dynamic speed regulation is realized, smooth and efficient motion of the robot in a whole space is ensured, and the precision and operating efficiency of the robot are improved.
Owner:NANJING UNIV OF AERONAUTICS & ASTRONAUTICS

Space robot minimal base disturbance trajectory planning method

The present invention relates to a minimum base disturbance trajectory planning method for a space robot, in particular to a minimum base disturbance trajectory planning method for a space robot based on an improved chaotic particle swarm algorithm, which belongs to the field of aerospace technology; the steps included in the present invention To: (1) establish the kinematic equation of the 6-DOF space robot; (2) parameterize the joints with the 7th-order sine polynomial function; (3) establish the equation of the fitness function, including the constraints of the position of the base Disturbance, attitude disturbance, joint velocity and angular velocity constraints; (3) In order not to fall into local optimum and quickly find the optimal solution, the chaotic particle swarm optimization algorithm is improved; (4) The improved chaotic particle swarm optimization algorithm is used to solve the unknown Parameters, the optimal trajectory of the space robot can be obtained in the case of the minimum disturbance of the base posture. The invention focuses on solving the problem of trajectory planning for a 6-degree-of-freedom free-floating space robot, and uses the improved chaotic particle swarm algorithm to find out the optimal trajectory of the space robot when the disturbance of the base seat posture is minimal, and the effect is good.
Owner:DALIAN UNIVERSITY
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