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State-feedback controller design for discrete-time switching fuzzy systems

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2 Author(s)

With two level weighting functions, namely, crisp switching-region weighting functions and local fuzzy weighting functions, this paper introduces a discrete-time switching fuzzy system, which inherently contains the features of switched hybrid systems and Takagi-Sugeno fuzzy systems. Then, for this discrete-time switching fuzzy system, this paper proposes two new state-feedback controllers. The first one, associated with a piecewise quadratic Lyapunov function, uses time-varying information on the switching-region weighting functions. The second one, associated with a new piecewise fuzzy weighting-dependent Lyapunov function (PFWLF), uses time-varying information on the local fuzzy weighting functions as well as on the switching-region functions. Especially, with a special structure of the candidate of PFWLF, the PFWLF-based controller employs not only the current-time but also the one-step-past information on the time-varying local fuzzy weighting functions.

Published in:

Decision and Control, 2002, Proceedings of the 41st IEEE Conference on  (Volume:1 )

Date of Conference:

10-13 Dec. 2002