Static output feedback control synthesis for nonlinear polynomial fuzzy systems using a sum of squares approach

Abstract

This paper addresses the static output feedback control synthesis problem for nonlinear polynomial fuzzy systems using a sum of squares (SOS) approach. The open-loop nonlinear systems is represented in the polynomial fuzzy model. By considering the closed-loop system in the output feedback control scheme and the polynomial Lyapunov functions that contain quadratic Lyapunov functions as special cases, sufficient conditions for a solution to the problems of stability analysis and control design can be derived in the representation form of the SOS. It can be numerically solved via the SOSTOOLS.