Event-triggered guaranteed cost control for uncertain discrete-time networked control systems with time-varying transmission delays

In this study, event-triggered guaranteed cost control problem for discrete-time networked control systems (NCSs) with parameter uncertainties and time-varying transmission delays is studied. First, an event-triggering scheme for discrete-time NCSs is proposed. Then by using a delay system approach, a unified model of event-triggered control systems with parameter uncertainties and state delay is established. By applying Laypunov functional method together with linear matrix inequality (LMI) technique, sufficient conditions for the existence of an admissible guaranteed cost controller are established, which ensure a specific quadratic cost function has an upper bound for all admissible uncertainties. The proposed stability and stabilisation conditions are formulated in the framework of LMIs, which can be solved efficiently by using existing optimisation techniques. Finally, a numerical example and a practical example are given to demonstrate that, under the proposed event-triggering scheme, the advantage of reducing communication traffic in a control network without compromising the stability of the closed-loop system is preserved.