Novel state-feedback control designs of discrete-time nonlinear systems based on Takagi-Sugeno fuzzy model

This paper is concerned with the problem of state-feedback control design of discrete-time nonlinear systems based on the Takagi-Sugeno fuzzy model. Sufficient conditions for the existence of fuzzy state-feedback controllers are proposed in terms of linear matrix inequalities, which could guarantee that the underlying closed-loop system is asymptotically stable. Moreover, the conservatism of the obtained state-feedback control designs can be released by introducing some additional matrix variables. Finally, a numerical example is given to illustrate the effectiveness of the approach developed in this paper.