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

Zhao, Hui1,2; Li, Weidong1,3; Li, Zhicheng4; Ren, Yu5

2021-12-01

10.1002/rnc.5954

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL   影响因子和分区

1049-8923

1099-1239

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.

dynamic event-triggered control input-output approach Markovian jump linear systems stochastic stability analysis time-varying delay

SCI ; EI

英语

通讯

National Natural Science Foundation of China[61471080] ; Natural Science Research Project of Liaoning Education Department of China["JDL2019019","JDL2020002"]

Automation & Control Systems ; Engineering ; Mathematics

Automation & Control Systems ; Engineering, Electrical & Electronic ; Mathematics, Applied

WOS:000734325100001

WILEY

20215211396283

Controllers ; Linear systems ; Markov processes ; Numerical methods ; Stochastic systems ; Time delay

Electronic Circuits:713 ; Control Systems:731.1 ; Control Equipment:732.1 ; Numerical Methods:921.6 ; Probability Theory:922.1 ; Systems Science:961

ENGINEERING

Web of Science

1.Dalian Jiaotong Univ, Coll Mech Engn, Dalian, Peoples R China
2.Bohai Univ, Coll Control Sci & Engn, Jinzhou, Peoples R China
3.Dalian Jiaotong Univ, Coll Elect & Informat Engn, Dalian, Peoples R China
4.Southern Univ Sci & Technol, Acad Adv Interdisciplinary Studies, Shenzhen 518055, Guangdong, Peoples R China
5.Shenzhen Polytech, Inst Intelligent Mfg Technol, Shenzhen, Peoples R China

Zhao, Hui,Li, Weidong,Li, Zhicheng,et al. Dynamic event-triggered control for Markovian jump linear systems with time-varying delay[J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,2021,32:2359-2379.

Zhao, Hui,Li, Weidong,Li, Zhicheng,&Ren, Yu.(2021).Dynamic event-triggered control for Markovian jump linear systems with time-varying delay.INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL,32,2359-2379.

Zhao, Hui,et al."Dynamic event-triggered control for Markovian jump linear systems with time-varying delay".INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL 32(2021):2359-2379.