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Chaotic phenomena and fractional-order dynamics in the trajectory control of redundant manipulators. (English) Zbl 1027.70011
Summary: Redundant manipulators have some advantages when compared with classical arms because they allow the trajectory optimization, both in the free space and in the presence of obstacles, and allow the resolution of singularities. For this type of arms the proposed kinematic control algorithms adopt generalized inverse matrices but, in general, the corresponding trajectory planning schemes show important limitations. Motivated by these problems, this paper studies the chaos revealed by pseudoinverse-based trajectory planning algorithms, using the theory of fractional calculus.

MSC:
70E60 Robot dynamics and control of rigid bodies
70Q05 Control of mechanical systems
70K55 Transition to stochasticity (chaotic behavior) for nonlinear problems in mechanics
26A33 Fractional derivatives and integrals
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