Event-Triggered Control of Discrete-time Nondeterministic Linear Systems

In this article, we consider the event-triggered control of discrete-time nondeterministic linear systems, and instead of the continuous feedback strategies, we use the intermittent feedback strategies. Firstly, we find the optimal event generator and controller under the assumption that the closed-loop system is Hurwitz, hence, the state trajectory of the event-triggered system is close to that of the continuous feedback system with arbitrary accuracy. At the same time, a minimum number of states is sent to the controller to reduce the communication between the event generator and the controller. Furthermore, we show that the controllability of the system is sufficient to ensure that the error between the state trajectory of the event-triggered system and the state trajectory of the continuous feedback system can be arbitrarily small.