A membership-function-dependent H∞ controller design for Takagi-Sugeno models

This paper presents a new approach for stability analysis and H_infin controller design of Takagi-Sugeno (TS) models. The analysis considers information derived from existing or induced order relations among the membership functions. Partitioning of the state-space and the use of piecewise conditions arise naturally as a consequence of induced order relations. Conditions under the novel approach can be expressed as linear matrix inequalities (LMIs). Examples are provided that show the advantages over the classical quadratic approach.