Stabilization of a certain class of fuzzy control systems with uncertainties

Abstract

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.

Keywords

• Takagi-Sugeno fuzzy systems
• PDC controller
• global uniform practical exponential stability
• Lyapunov stability
• parametric uncertainty