Journal
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Volume 46, Issue 9, Pages 1614-1627Publisher
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2013.827259
Keywords
parameter uncertainties; T-S fuzzy hyperbolic system; non-fragile guaranteed cost control (GCC); linear matrix inequalities (LMIs)
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Funding
- National Natural Science Foundation of China [60974139]
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This paper concerns the problems of non-fragile guaranteed cost control (GCC) for nonlinear systems with or without parameter uncertainties. The Takagi-Sugeno (T-S) fuzzy hyperbolic model is employed to represent the nonlinear system. The non-fragile controller is designed by parallel distributed compensation (PDC) method, and some sufficient conditions are formulated via linear matrix inequalities (LMIs) such that the system is asymptotically stable and the cost function satisfies an upper bound in the presence of the additive controller perturbations. The above approach is also extended to the non-fragile GCC of T-S fuzzy hyperbolic system with parameter uncertainties, and the robust non-fragile GCC scheme is obtained. The main advantage of the non-fragile GCC based on the T-S fuzzy hyperbolic model is that it can achieve small control amplitude via 'soft' constraint approach. Finally, a numerical example and the Van de Vusse example are given to illustrate the effectiveness and feasibility of the proposed approach.
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