Receding Horizon H ∞ Control for Time-varying Sampled-data Systems

In this paper we consider the receding horizon H∞ control problems for sampled-data systems. We transfer sampled-data systems into equivalent jump systems. We first consider the receding horizon H∞ control problems for time-varying jump systems to obtain state feedback and output feedbakc receding horizon H∞ controllers. We then apply the obtained results to sampled-data systems and give design methods of state feedback and output feedback receding horizon H∞ contollers. We give a simple example to illustrate the theory.