Observer-based state feedback H-infinity control for networked control systems

Abstract

The observer-based H-infinity controller design problem is considered for the networked control systems with uncertain network-induced delays and packet dropouts. The system states are reconstructed by introducing an observer and an augmented system model with time-varying delays is established. Based on the delay-dependent Lyapunov stability theory, a sufficient condition is proposed to ensure that the closed-loop system is asymptotically stable with a guaranteed H-infinity performance level r. Since the obtained condition is nonlinear, the singular value decomposition method is applied to convert the nonlinear inequalities into LMIs. The delay-dependent approach shows a less conservative result than the delay-independent approach. A numerical example is given to demonstrate the high validity and merit of the proposed approach.