期刊
IEEE TRANSACTIONS ON FUZZY SYSTEMS
卷 16, 期 3, 页码 615-629出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TFUZZ.2007.905911
关键词
H-infinity performance; linear matrix inequalities (LMIs); nonlinear control systems; singularly perturbed systems; stabilizing control; state feedback control; Takagi-Sugeno (T-S) fuzzy models
This paper considers the problem of designing stabilizing and H-infinity controllers for nonlinear singularly perturbed systems described by Takagi-Sugeno fuzzy models with the consideration of the bound of singular perturbation parameter epsilon. For the synthesis problem of simultaneously designing the bound of epsilon and stabilizing or H-infinity controllers, linear matrix inequalities (LMI)-based methods are presented. For evaluating the upper bound of epsilon subject to stability or a prescribed H-infinity performance bound constraint for the resulting closed-loop system, sufficient conditions are developed, respectively. For the stabilizing and H-infinity control synthesis without the consideration of improving the bound of epsilon new design methods are also given in terms of solutions to a set of LMIs. Examples are given to illustrate the efficiency of the proposed methods.
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