Guaranteed Cost Piecewise Fuzzy Controller Design

Abstract A common approach for stability and performance control design in Takagi- Sugeno fuzzy models is to solve an LMI problem which proves global stability and an upper bound of a given quadratic performance function for any shape of membership functions. This paper improves efficiency of the controllers in Takagi-Sugeno fuzzy models, by having into account the shape of the membership functions in a particular region of interest. A multiple-gain piecewise PDC controller is designed for several particular regions ensuring global stability as well as increased performance as the state approaches the origin.