Switched control of type-2 polynomial discrete fuzzy systems based on SOS

Abstract

This paper presents a switched stabilization method of discrete interval type-2 fuzzy systems via sum-of-squares (SOS). Based on polynomial Lyapunov functions, we derive stabilization conditions to design stable polynomial interval type-2 fuzzy switched controllers. The stabilization conditions are represented in terms of SOS, and the controllers are numerically (partially symbolically) solved via the recent developed SOSTOOLS. In addition, polynomial discrete fuzzy systems and controllers are the generalization of discrete Takagi-Sugeno (T-S) fuzzy systems and controllers. A numerical simulation example is provided to illustrate the validity of the control method.