A sufficient condition for H∞ control on a class of time-varying sampling control systems

In this paper, the mathematical model for a class of time-varying sampling control system with stochastic sampling period is established. The sufficient conditions on the existence of the stabilizing controllers with Hinfin norm bound are established, and the controller design ensuring the stochastic stability of systems with Hinfin norm bound is also proposed by solving the linear matrix inequalities. The simulation results illustrate the effectiveness of the proposed controller design.