Robot path control based on PSO with fractional-order velocity

The particle swarm optimization algorithm (PSO) is widely used and therefore it has been deeply studied in order to understand the parameters influence on the final results. In this paper we study the modification of the common approach. We decided to utilize method that alters the velocity update rule which now uses the fractional-order derivative. For derivative discretization we propose use of four conversion rules. We propose the application of this method to solving the inverse kinematics problem and therefore, to path control of an industrial redundant manipulator.

[1]  Paulo Moura Oliveira,et al.  Particle swarm optimization with fractional-order velocity , 2010 .

[2]  José António Tenreiro Machado,et al.  Pseudoinverse trajectory control of redundant manipulators: a fractional calculus perspective , 2002, Proceedings 2002 IEEE International Conference on Robotics and Automation (Cat. No.02CH37292).

[3]  Jon Atli Benediktsson,et al.  An efficient method for segmentation of images based on fractional calculus and natural selection , 2012, Expert Syst. Appl..

[4]  Aaron Hertzmann,et al.  Style-based inverse kinematics , 2004, SIGGRAPH 2004.

[5]  S. Buss Introduction to Inverse Kinematics with Jacobian Transpose , Pseudoinverse and Damped Least Squares methods , 2004 .

[6]  José António Tenreiro Machado,et al.  Time domain design of fractional differintegrators using least-squares , 2006, Signal Process..

[7]  Maurice Clerc,et al.  The particle swarm - explosion, stability, and convergence in a multidimensional complex space , 2002, IEEE Trans. Evol. Comput..

[8]  P ? ? ? ? ? ? ? % ? ? ? ? , 1991 .

[9]  R. W. Dobbins,et al.  Computational intelligence PC tools , 1996 .

[10]  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).

[11]  Jan M Smith,et al.  Mathematical Modeling and Digital Simulation for Engineers and Scientists , 1977 .

[12]  I. Podlubny Fractional differential equations : an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications , 1999 .

[13]  Chih-Cheng Chen,et al.  A combined optimization method for solving the inverse kinematics problems of mechanical manipulators , 1991, IEEE Trans. Robotics Autom..

[14]  Aaron Hertzmann,et al.  Style-based inverse kinematics , 2004, ACM Trans. Graph..

[15]  Norman I. Badler,et al.  Real-Time Inverse Kinematics Techniques for Anthropomorphic Limbs , 2000, Graph. Model..

[16]  Nuno M. Fonseca Ferreira,et al.  Introducing the fractional-order Darwinian PSO , 2012, Signal Image Video Process..

[17]  John J. Craig Zhu,et al.  Introduction to robotics mechanics and control , 1991 .

[18]  Jon Atli Benediktsson,et al.  Multilevel Image Segmentation Based on Fractional-Order Darwinian Particle Swarm Optimization , 2014, IEEE Transactions on Geoscience and Remote Sensing.

[19]  James Kennedy,et al.  Particle swarm optimization , 1995, Proceedings of ICNN'95 - International Conference on Neural Networks.