Fuzzy Observer-Based Control via LMIs

Abstract

This paper presents new stability conditions and design methods for fuzzy observer-based control. New stability conditions are obtained by relaxing the stability conditions derived in previous works. We present LMI-based designs for fuzzy regulators and fuzzy observers using so-called "parallel distributed compensation" and the relaxed stability conditions. A design example for the ball and beam system shows the utility of the new stability conditions and the proposed design procedures.