This paper provides a new viewpoint for fuzzy systems via an impulsive technique, i.e. the impulsive control is introduced into the fuzzy systems based on T-S model and the fuzzy system model with impulsive control is established. The main difference between the proposed control strategy and PDC lies in that the subsystems are the linear impulsive ones and the overall model of the system is the time-varying impulsive control one. Thus, the stability analysis and control design problems of presented system can be reduced to the ones of impulsive control systems. So, the stability issues of the proposed control system are investigated via comparison criterion of differential equations. Finally, the numerical simulations for the chaotic system verify the effectiveness of the proposed design method.
[Show abstract][Hide abstract] ABSTRACT: We analyze the Lyapunov stability of impulsive Takagi–Sugeno fuzzy systems. Using the direct Lyapunov method, we establish
sufficient conditions for the stability of these systems. We show that these conditions can be expressed in terms of a system
of linear matrix inequalities. As an example, we consider an impulsive fuzzy control in a two-species “predator–prey” model.
[Show abstract][Hide abstract] ABSTRACT: Takagi–Sugeno fuzzy impulsive systems are analyzed for Lyapunov stability. Lyapunov’s second method is used to establish sufficient
stability conditions for such systems. It is shown that these conditions are expressed by a system of matrix inequalities.
Impulsive fuzzy control of two coupled pendulums is considered as an example
KeywordsLyapunov asymptotic stability-impulsive fuzzy system-matrix inequalities
International Applied Mechanics 10/2009; 45(10):1127-1140. DOI:10.1007/s10778-010-0254-z
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