Network-based H∞ tracking control with event-triggering sampling scheme

In this study, H_∞ tracking control design for a class of networked control systems (NCSs) with event-triggering sampling scheme is investigated. First, a novel event-triggering sampling scheme is proposed. Next, considering the network-induced delays and using such a triggering scheme together with delay system approach, a new tracking model of NCSs is established. Attention is focused on the design of H_∞ controller that guarantees the prescribed H_∞ tracking performance of the closed-loop-networked tracking system. Two approaches are developed to solve this problem, based on continuous Lyapunov function and discontinuous Lyapunov function, respectively. Moreover, the obtained results are further extended to the case that the system matrices of the plant contain parameter uncertainties, represented in either norm-bounded or polytopic forms. Finally, an illustrative example is presented to show the usefulness and applicability of the propose method.