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Stability analysis and design of time-varying nonlinear systems based on impulsive fuzzy model. (English) Zbl 1235.93213

Summary: This paper develops a general analysis and design theory for nonlinear time-varying systems represented by impulsive T-S fuzzy control model, which extends the conventional T-S fuzzy model. In the proposed model, impulse is viewed as control input of T-S model, and impulsive distance is the major controller to be designed. Several criteria on general stability, asymptotic stability, and exponential stability are established, and a simple design algorithm is provided with stability of nonlinear time-invariant systems. Finally, the numerical simulation for the predator-prey system with functional response and impulsive effects verify the effectiveness of the proposed methods.

MSC:

93D20 Asymptotic stability in control theory
93C42 Fuzzy control/observation systems
93C10 Nonlinear systems in control theory
91A24 Positional games (pursuit and evasion, etc.)
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