Indefinite Reliable Guaranteed Cost Control for T-S Fuzzy Singular Semi-Markov Jump Systems via State Feedback

This paper focus on the problem of the reliable guaranteed cost control for continuous-time singular semi-Markov jump systems (S-MJSs) via Takagi-Sugeno fuzzy model, where the weighting matrix is indefinite in quadratic cost function. Firstly, a sufficient condition is given such that the closed-loop systems are regular, impulse-free, stochastically stable, and the cost function has an adequate level. Then based on the matrix inequality decoupling technique, a novel linear matrix inequality (LMI) condition is presented, and the reliable controller via state feedback is designed. Finally, a numerical example is given to show the effectiveness of the proposed method.