Chaotic Phenomena and Fractional-Order Dynamics in the Trajectory Control of Redundant Manipulators

Redundant manipulators have some advantages when compared with classicalarms because they allow the trajectory optimization, both on the freespace and on the presence of obstacles, and the resolution ofsingularities. For this type of arms the proposed kinematic controlalgorithms adopt generalized in...

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Bibliographic Details
Main Author: Duarte, Fernando B. M. (author)
Other Authors: Tenreiro Machado, J. A. (author)
Format: article
Language:eng
Published: 2002
Subjects:
Online Access:http://hdl.handle.net/10400.22/13518
Country:Portugal
Oai:oai:recipp.ipp.pt:10400.22/13518
Description
Summary:Redundant manipulators have some advantages when compared with classicalarms because they allow the trajectory optimization, both on the freespace and on the presence of obstacles, and the resolution ofsingularities. For this type of arms the proposed kinematic controlalgorithms adopt generalized inverse matrices but, in general, thecorresponding trajectory planning schemes show important limitations.Motivated by these problems this paper studies the chaos revealed by thepseudoinverse-based trajectory planning algorithms, using the theory offractional calculus.