Optimal Joint Trajectory Planning for Manipulator Robot Performing Constrained Motion Tasks
نویسندگان
چکیده
This paper presents a novel approach to plan the optimal joint trajectory for a manipulator robot performing constrained motion tasks. In general, a two-step scheme will be deployed to find the optimal robot joint curve. Firstly, instead of solving a nonlinear, implicit EulerLagrange equation, we discretize the corresponding cost function and use Newton’s iterations to numerically calculate the joint trajectory’s intermediate discrete points. Secondly, we interpolate these points to get the final joint trajectory in a way such that the motion constraint will always be sustained throughout the movement. An example of motion planning for a 4-degree-of-freedom robot WAM will be given at the end of this paper.
منابع مشابه
Trajectory Optimization of Cable Parallel Manipulators in Point-to-Point Motion
Planning robot trajectory is a complex task that plays a significant role in design and application of robots in task space. The problem is formulated as a trajectory optimization problem which is fundamentally a constrained nonlinear optimization problem. Open-loop optimal control method is proposed as an approach for trajectory optimization of cable parallel manipulator for a given two-end-po...
متن کاملOptimal Trajectory Planning of a Mobile Robot with Spatial Manipulator For Spatial Obstacle Avoidance
Mobile robots that consist of a mobile platform with one or many manipulators mounted on it are of great interest in a number of applications. Combination of platform and manipulator causes robot operates in extended work space. The analysis of these systems includes kinematics redundancy that makes more complicated problem. However, it gives more feasibility to robotic systems because of the e...
متن کاملOptimal discrete-time control of robot manipulators in repetitive tasks
Optimal discrete-time control of linear systems has been presented already. There are some difficulties to design an optimal discrete-time control of robot manipulator since the robot manipulator is highly nonlinear and uncertain. This paper presents a novel robust optimal discrete-time control of electrically driven robot manipulators for performing repetitive tasks. The robot performs repetit...
متن کاملOptimal Trajectory of Flexible Manipulator with Maximum Load Carrying Capacity
In this paper, a new formulation along with numerical solution for the problem of finding a point-to-point trajectory with maximum load carrying capacities for flexible manipulators is proposed. For rigid manipulators, the major limiting factor in determining the Dynamic Load Carrying Capacity (DLCC) is the joint actuator capacity. The flexibility exhibited by light weight robots or by robots o...
متن کاملResearch on time optimal trajectory planning of 7-DOF manipulator based on genetic algorithm
Trajectory planning is the basis of robot control. A robot with seven degrees of freedom is the object of study. The shortest time is taken as the trajectory optimization target. The joint trajectory planning is carried out by using B-spline curve. Under the constraint of kinematics parameters, the time optimization of the motion trajectory is realized by using the improved genetic algorithm. T...
متن کامل