Mode-dependent control design for discrete-time Switched Singular Systems with time varying delay

Abstract : This work investigates the problem of state feedback control design for a class of switched singular systems with time-varying delay. Under Mode-Dependent Average Dwell Time (MDADT), the exponential admissibility of the system is analyzed by considering an appropriate Lyapunov-Krasovskii and the improved reciprocally convex combination approach. By mean of developed admissibility conditions, the existence of stabilizing switching signals and the state feedback controllers are introduced in terms of linear matrix inequalities. A numerical example is simulated to verify the efficiency and the merits of the proposed method. © 2018 AACC.