Quantized output-feedback guaranteed cost control for discrete-time large-scale interconnected systems with actuator faults

This paper investigates the problem of designing a decentralized static output feedback control for a class of large-scale interconnected discrete-time systems with quantized signals and time-varying actuator faults wherein the control input is quantized by means of logarithmic quantizer to avoid chattering. Based on Lyapunov stability theory together with the improved reciprocally convex approach, sufficient conditions are derived in terms of linear matrix inequalities. Specifically, with the aid of cone complementarity linearization technique, the control law is derived which ensures the asymptotic stabilization of considered system with prescribed H-infinity performance index and also guarantees optimum cost bound in spite of quantization and fault occurs. Finally, numerical examples are provided to demonstrate the significance of the designed control method.