A hybrid strategy for the time- and energy-efficient trajectory planning of parallel platform manipulators

In planning the trajectories of motor-driven parallel platform manipulators, the objective is to identify the trajectory which accomplishes the assigned motion with the minimal travel time and energy expenditure subject to the constraints imposed by the kinematics and dynamics of the manipulator structure. In this study, the possible trajectories of the manipulator are modeled using a parametric path representation, and the optimal trajectory is then obtained using a hybrid scheme comprising the particle swarm optimization method and the local conjugate gradient method. The numerical results confirm the feasibility of the optimized trajectories and show that the hybrid scheme is not only more computationally efficient than the standalone particle swarm optimization method, but also yields solutions of a higher quality.

[1]  Peter J. Angeline,et al.  Evolutionary Optimization Versus Particle Swarm Optimization: Philosophy and Performance Differences , 1998, Evolutionary Programming.

[2]  G. Kreisselmeier,et al.  SYSTEMATIC CONTROL DESIGN BY OPTIMIZING A VECTOR PERFORMANCE INDEX , 1979 .

[3]  G. Lambert-Torres,et al.  A hybrid particle swarm optimization applied to loss power minimization , 2005, IEEE Transactions on Power Systems.

[4]  Thanathorn Phoka,et al.  Planning Optimal Force-Closure Grasps for Curved Objects , 2006, 2006 IEEE International Conference on Robotics and Biomimetics.

[5]  Zvi Shiller,et al.  The practical implementation of time-optimal control for robotic manipulators , 1996 .

[6]  G. C. Contaxis,et al.  Decoupled Optimal Load Flow Using Linear or Quadratic Programming , 1986, IEEE Transactions on Power Systems.

[7]  Steven Dubowsky,et al.  Robot Path Planning with Obstacles, Actuator, Gripper, and Payload Constraints , 1989, Int. J. Robotics Res..

[8]  M. Singaperumal,et al.  Optimal trajectory planning for a hexapod machine tool during contour machining , 2002 .

[9]  T. Warren Liao,et al.  Manufacturing Process Modeling and Optimization Based on Multi-Layer Perceptron Network , 1998 .

[10]  H. Lehtihet,et al.  Minimum cost trajectory planning for industrial robots , 2004 .

[11]  T. Chettibi,et al.  Planning Optimal Motions for a DELTA Parallel Robot , 2006, 2006 14th Mediterranean Conference on Control and Automation.

[12]  Chun-Ta Chen,et al.  Optimal Path Programming of the Stewart Platform Manipulator Using the Boltzmann–Hamel–d'Alembert Dynamics Formulation Model , 2008, Adv. Robotics.

[13]  James E. Bobrow,et al.  Reliable computation of minimum-time motions for manipulators moving in obstacle fields using a successive search for minimum-overload trajectories , 2005 .

[14]  Bodo Heimann,et al.  Adapted Time-Optimal Trajectory Planning for Parallel Manipulators with Full Dynamic Modelling , 2005, Proceedings of the 2005 IEEE International Conference on Robotics and Automation.

[15]  Yu-Geng Xi,et al.  Optimum motion planning in joint space for robots using genetic algorithms , 1996, Robotics Auton. Syst..

[16]  R. Saravanan,et al.  Optimum static balancing of an industrial robot mechanism , 2008, Eng. Appl. Artif. Intell..

[17]  Yue Shi,et al.  A modified particle swarm optimizer , 1998, 1998 IEEE International Conference on Evolutionary Computation Proceedings. IEEE World Congress on Computational Intelligence (Cat. No.98TH8360).

[18]  E. Croft,et al.  Smooth and time-optimal trajectory planning for industrial manipulators along specified paths , 2000 .

[19]  Riccardo Poli,et al.  Particle swarm optimization , 1995, Swarm Intelligence.