Non-fragile Fuzzy Dissipative Control for Singular Markovian Jump Systems with Time-Varying Delay

[摘要] This paper investigates the problem of non-fragile fuzzy dissipative control for singular Markovian jump systems with time-varying delay. Based on the mode-dependent Lyapunov–Krasovskii function and the reciprocally convex combination lemma, sufficient conditions are obtained. Then, a series of fuzzy state feedback controllers under controller gain perturbations are designed by solving the linear matrix inequalities, which guarantee that the resulted closed-loop system is stochastically admissible and dissipative. Finally, some numerical examples are provided to show the effectiveness and superiority of the proposed approaches.

[学科分类] 自动化工程

[关键词] Non-fragile dissipative control ;Singular Markovian jump system (SMJS) ;T–S fuzzy model ;Time-varying delay ;93C42 ;93E15