An LMI-based Approach for State Feedback Controller Design of Markovian Jump Nonlinear Systems

This paper is concerned with the problem of state feedback control of continuous-time nonlinear Markovian jump systems, which are represented by Takagi-Sugeno fuzzy models. A new method for designing state feedback stabilizing controllers is presented in terms of solvability of a set of linear matrix inequalities (LMIs), and it has shown that the new design method provides better or at least the same results of the existing methods in the literature. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.