Analysis and synthesis of switched nonlinear systems using the T-S fuzzy model. (English) Zbl 1193.93124
Summary: The methods based on Lyapunov stability theorem to study the stability and switching law design for the T-S fuzzy switched systems with state-driven switching method are presented. Furthermore, these methods can be applied to cases when all individual systems are unstable. The PDC is employed to design fuzzy controllers from the T-S fuzzy models. The stabilization analysis is reduced to a problem of finding a common Lyapunov function for a set of linear matrix inequalities. Finally, a numerical example and an illustrative example based on the chemical process example are given to show the merits of the proposed approach, respectively.
Keywords:
switched system; T-S fuzzy system; Lyapunov function; stabilization; switching law; linear matrix inequalitiesReferences:
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