Predictive H∞ Control for Linear Systems over Communication Channels with Time-Varying Delays

Abstract We discuss a state feedback H ∞ control problem for a simple networked control system with one linear plant and one controller connected by sensor and actuator channels with time-varying delays under the two types of information structure on the time delays. We approach to this problem by adopting architecture of a predictive control for a predictive controlled output, and characterize the predictive control by using parameter-dependent linear matrix inequalities.We also discuss an output feedback case.