Host: Japan Society for Fuzzy Theory and Intelligent Informatics (SOFT)
This paper is concerned with control design for a generalized discrete-time Takagi-Sugeno fuzzy system. The Takagi-Sugeno fuzzy system generally describes nonlinear systems by employing local linear system representations, while a generalized fuzzy system to be considered describes even a wider class of nonlinear systems by representing locally nonlinear systems. For such a generalized system, a stabilizing controller design method based on non-PDC is proposed. Controller design conditions are given in terms of a set of linear matrix inequalities (LMIs). A relaxation method is used to reduce the conservatism of design conditions. Finally, a numerical example is given to show the effectiveness of our control design method.
