Observer-based fuzzy H∞ control for uncertain nonlinear systems with time delays

This paper presents the problem of observer-based fuzzy H^∞ control for a class of uncertain nonlinear systems with time-varying delayed systems on the basis of Takagi-Sugeno fuzzy model. First, we design a fuzzy observer such that destination error system is globally, exponentially stable. Next, we design a fuzzy H^∞ controller such that the closed loop system is globally, exponentially stable and achieves L₂ gain performance. The fuzzy control systems utilize the concept of the so-called parallel distributed compensation. A sufficient condition for the existence of robust fuzzy H^∞ controllers and observers are given in terms of linear matrix inequalities (LMIs). The control gains can also be directly obtained from the LMI solutions