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Stabilization of nonlinear time-delay systems with input saturation via anti-windup fuzzy design

Authors: Chen-Sheng Ting, Chuan-Sheng Liu

Published in: Soft Computing | Issue 5/2011

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Abstract

This investigation considers stability analysis and control design for nonlinear time-delay systems subject to input saturation. An anti-windup fuzzy control approach, based on fuzzy modeling of nonlinear systems, is developed to deal with the problems of stabilization of the closed-loop system and enlargement of the domain of attraction. To facilitate the designing work, the nonlinearity of saturation is first characterized by sector conditions, which provide a basis for analysis and synthesis of the anti-windup fuzzy control scheme. Then, the Lyapunov–Krasovskii delay-independent and delay-dependent functional approaches are applied to establish sufficient conditions that ensure convergence of all admissible initial states within the domain of attraction. These conditions are formulated as a convex optimization problem with constraints provided by a set of linear matrix inequalities. Finally, numeric examples are given to validate the proposed method.

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Title: Stabilization of nonlinear time-delay systems with input saturation via anti-windup fuzzy design
Authors: Chen-Sheng Ting
Chuan-Sheng Liu
Publication date: 01-05-2011
Publisher: Springer-Verlag
Published in: Soft Computing / Issue 5/2011
Print ISSN: 1432-7643
Electronic ISSN: 1433-7479
DOI: https://doi.org/10.1007/s00500-010-0555-5

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