Dynamic event‐triggered control for Markovian jump linear systems with time‐varying delay

Abstract

In this article, the problem of dynamic event-triggered control (ETC) for Markovian jump linear systems (MJLSs) with time-varying delay is investigated.First, the original system is transformed into an interconnection system with input-output form. Then, the dynamic ETC is proposed to reduce the transmission frequency. Meanwhile, the conditions of stochastic stability are proposed by constructing a novel stochastic Lyapunov-Krasovskii functional and using the scaled stochastic small-gain theorem. Further, the controller design method is presented to stabilize the closed-loop MJLSs with time-varying delay. The merit of this article lies in that the conservatism for stability results is reduced and the transmission efficiency is improved by reducing the event-triggered times, which is made possible by designing dynamic ETC. Finally, two numerical examples are provided to demonstrate the advantages and effectiveness of the proposed methods.

A novel saturation‐related event‐triggered scheme for systems with asymmetric input constraint

“…Event-triggered strategy has drawn many attentions in control fields in consequence of its advantage of saving communication resources. [16][17][18][19][20][21][22] Recently, in order to reduce the triggering number further, several kinds of event-triggering conditions are generated, such as threshold-dependent event-triggering condition, 23 periodic event-triggering condition, 24,25 decentralized event-triggering condition, 26 dynamic event-triggering condition, [27][28][29][30][31][32][33] and so on.…”

Improved passivity‐based control for Markovian jump singular systems with aperiodic sampling and actuator failures

“…MJSs are composed of limited subsystems and have powerful modeling capabilities, which can be used to describe some practical systems, such as chemical process, economic systems, communication networks and power systems 2‐4 . Moreover, many valuable topics concerning MJSs have been studied, see References 5‐9 and references therein. In most studies, complete modal transition rates (TRs) information is the prerequisite for studying and analyzing multi‐mode jump systems.…”