Simultaneous design of parallel distributed output feedback and anti-windup compensators for constrained takagi-sugeno fuzzy systems

Abstract

This paper is devoted to developing a novel approach to deal with constrained continuous-time nonlinear systems in the formof Takagi-Sugeno fuzzy models. Here, the disturbed systems are subject to both input and state constraints. The one-step designmethod is used to simultaneously synthesize the dynamic output feedback controller and its anti-windup strategy. A parameter-dependent version of the generalized sector condition is used together with Lyapunov stability theory to derive linearmatrix inequality design conditions. Based on this result and for different design specifications, the synthesis of an anti-windup based dynamic output feedback controller is expressed on the form of convex optimization problems. A physically motivated example is given to illustrate the effectiveness of the proposed method.