Event‐triggered controller design from the control input perspective

Abstract

In this article, we propose a novel event‐triggered control (ETC) method from the control input perspective. Different from existing results in which event conditions are designed based on the variation of system states, this method designs event conditions from the control input perspective, that is, based on the control input variations. Through this method, it is shown that for nonlinear systems, the commonly used input‐to‐state stable assumption can be removed. For linear systems, this method is shown equivalent to conventional results established based on state signals. Moreover, it provides flexibility in designing different event conditions for uncertain nonlinear systems. The effectiveness of the proposed method is demonstrated through two simulation examples.

A Framework for Distributed Estimation With Limited Information and Event-Based Communications

“…As will be shown later in Section IV, one merit of our framework is that, by decoupling the local filters from the communication process, we can reformulate the problem of distributed estimation to that of stochastic linear systems synchronization. We will further prove that any event-based algorithm guaranteeing (36) can facilitate the synchronization of stochastic linear systems. Therefore, any of them including (37)-( 39) can be used in our framework to produce stable distributed estimators.…”

Event‐triggered output feedback H∞$$ H\infty $$ control for Markovian jump networked control systems with signal quantization

“…In recent years, many works have been made in the research of event-triggered mechanism. [29][30][31][32][33] Hu et al introduced a model of a networked control systems with two continuous time-delay components considering static quantization, and studied the problem of designing event-triggered controllers for a networked control systems with improved integral inequalities based on the Lyapounov-Krasovskii function. 29 Xiao et al studied the synthesis problem of static output feedback stabilization based on event-triggered control for discrete-time Markovian jump systems with finite bandwidth and mismatched modes.…”

“…For linear systems, it is shown to be equivalent to the conventional results based on state signals. 31 Deng et al studied the consistency problem for higher-order nonlinear multiagent systems with an uncertain leaders under event-triggered communication and the class of systems considered was more general and provided better performance in asymptotic tracking than the existing consistency results for nonlinear quality problems in event-triggered communication. 32 Huang et al investigated the stabilization problem of continuous-time stochastic systems with multiple time delays under continuous event-triggered mechanism.…”

“…In recent years, many works have been made in the research of event‐triggered mechanism 29–33 . Hu et al introduced a model of a networked control systems with two continuous time‐delay components considering static quantization, and studied the problem of designing event‐triggered controllers for a networked control systems with improved integral inequalities based on the Lyapounov–Krasovskii function 29 .…”

“…For nonlinear systems, this method can eliminate the commonly used input‐to‐state stability assumption. For linear systems, it is shown to be equivalent to the conventional results based on state signals 31 . Deng et al studied the consistency problem for higher‐order nonlinear multiagent systems with an uncertain leaders under event‐triggered communication and the class of systems considered was more general and provided better performance in asymptotic tracking than the existing consistency results for nonlinear quality problems in event‐triggered communication 32 .…”