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Stabilization of a certain class of fuzzy control systems with uncertainties

Taieb N. H., Hammami M. A., Delmotte F.

Archives of Control Sciences

2017

Vol. 27, no. 3

453--481

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.