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Stabilization of a certain class of fuzzy control systems with uncertainties. (English) Zbl 1440.93217

Summary: In this paper, we investigate the global uniform practical exponential stability for a class of uncertain Takagi-Sugeno fuzzy systems. The uncertainties are supposed uniformly to be bounded by some known integrable functions to obtain an exponential convergence toward a neighborhood of the origin. Therefore, we use common quadratic Lyapunov function (CQLF) and parallel distributed compensation (PDC) controller techniques to show the global uniform practical exponential stability of the closed-loop system. Numeric simulations are given to validate the proposed approach

MSC:

93D23 Exponential stability
93C42 Fuzzy control/observation systems
93C41 Control/observation systems with incomplete information