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Global Asymptotic Stability of a Tracking Sectorial Fuzzy Controller for Robot Manipulators

Víctor Santibáñez, Rafael Kelly, Miguel A. Llama

Year
2004
Citations
31

Abstract

This paper shows that fuzzy control systems satisfying sectorial properties are effective for motion tracking control of robot manipulators. We propose a controller whose structure is composed by a sectorial fuzzy controller plus a full nonlinear robot dynamics compensation, in such a way that this structure leads to a very simple closed-loop system represented by an autonomous nonlinear differential equation. We demonstrate via Lyapunov theory, that the closed-loop system is globally asymptotically stable. Experimental results show the feasibility of the proposed controller.

Keywords

Control theory (sociology)Controller (irrigation)Fuzzy logicNonlinear systemExponential stabilityLyapunov functionFuzzy control systemStability theoryCompensation (psychology)Stability (learning theory)

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