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Optimal fuzzy control for a class of nonlinear systems. (English) Zbl 1264.93125

Summary: We present conditions suitable in design giving quadratic performances to stabilizing controllers for given class of continuous-time nonlinear systems, represented by Takagi-Sugeno models. Based on extended Lyapunov function and slack matrices, the design conditions are outlined in the terms of linear matrix inequalities to possess a stable structure closest to LQ performance, if premise variables are measurable. Simulation results illustrate the design procedure and demonstrate the performances of the proposed control design method.

MSC:

93C42 Fuzzy control/observation systems
93D15 Stabilization of systems by feedback
49N10 Linear-quadratic optimal control problems
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