Robust Fuzzy Design for Nonlinear Uncertain Stochastic Systems via Sliding-Mode Control

Authors:
D. W.C. Ho;Yugang Niu
Affiliations:
City Univ. of Hong Kong, Hong Kong;-
Venue:
IEEE Transactions on Fuzzy Systems
Year:
2007

Citing 0
Cited 12

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Abstract

This paper deals with the sliding-mode control (SMC) problem for nonlinear stochastic time-delay systems by means of fuzzy approach. The Takagi-Sugeno (T-S) fuzzy stochastic time-delay model with parametric uncertainties and unknown nonlinearities is presented. A sufficient condition for the exponential stability in mean square of the sliding motion is also derived. Moreover, it is shown that when the linear matrix inequalities (LMIs) with equality constraint are feasible, the designs of both sliding surface and sliding-mode controller can be easily obtained via convex optimization. A simulation example illustrating the proposed method is given.