Delay-Dependent Robust Fault-Tolerant Control for Delta Operator Systems with D-Stability

This paper is concerned with the problem of delay-dependent robust fault-tolerant control for delta operator formulated uncertain systems with time-varying delays and regional pole assignment constraints. Based on Lyapunov stability theory and linear matrix inequality (LMI) approach, a sufficient condition of delay-dependent robust fault-tolerant D-stabilization for delta operator systems with time-delay and actuator failure is provided. When LMI is feasible, the state feedback control law of the delay- dependent systems is also obtained. A numerical simulation shows the advantages of delta operator approach and the effectiveness of the proposed method.