Novel State-Feedback Control Designs of Discrete-Time Nonlinear Systems Based on Takagi-Sugeno Fuzzy Model

摘要

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.