Input-output finite-time control of Markov jump systems with round-robin protocol: An dynamic event-triggered approach

Abstract

This article investigates the control problem of networked Markov jump systems (MJSs). First, to describe the asynchronization between the plant modes and the controller modes in MJSs, the hidden Markov model is introduced and the asynchronous control technique is developed. Next, the dynamic event-triggered mechanism (ETM) is utilized to decrease the frequency of data transmission. Moreover, the round-robin protocol (RRP) is introduced to reduce the amount of communicated data by allowing only one node to access the network. At last, the concept of input-output finite time stability (IO-FTS) is introduced and taken into consideration in the controller design. The highlight of this work is the introduction of both the dynamic ETM and the RRP to alleviate the communication load. Finally, a simulation example is proposed to illustrate the effectiveness of the theoretical results.