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A Lyapunov functional approach to impulsive control of Takagi-Sugeno fuzzy delay systems

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2 Author(s)
Xiaomei Lu ; Coll. of Math. & Inf. Sci., Guangxi Univ., Nanning, China ; Wu-Hua Chen

This paper considers impulsive control of the Takagi-Sugeno (T-S) fuzzy delay systems with known bounds on the impulsive intervals. A piecewise differentiable Lyapunov functional is introduced to analyze exponential stability of T-S delay systems under impulsive control. The Lyapunov functional is discontinuous at the impulse times. We provide a set of LMI-based conditions that guarantee the decrease of the Lyapunov functional after the impulse times, from which stability follows. By solving linear matrix inequalities, a state feedback fuzzy impulsive controller that can stabilize the considered time-delay system can easily be obtained. Finally, an example is provided to illustrate the effectiveness of the proposed approach.

Published in:

Control and Decision Conference (CCDC), 2012 24th Chinese

Date of Conference:

23-25 May 2012