Dynamic event-triggered H∞ control for markov jump systems with input saturation

被引：5

作者：

Zhang, Lixia ^{[1
]}

Sun, Minhui ^{[1
]}

机构：

[1] Ocean Univ China, Sch Math Sci, Qingdao 266100, Peoples R China

来源：

EUROPEAN JOURNAL OF CONTROL | 2023年 / 70卷

关键词：

Markov jump systems (M[!text type='JS']JS[!/text]s); Input saturation; Dynamic event-triggered mechanism; (DETM); The domain of attraction (DOA); STATE ESTIMATION; LINEAR-SYSTEMS; ACTUATOR; DESIGN;

D O I：

10.1016/j.ejcon.2022.100770

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper is mainly to explore H infinity state feedback control problem for Markov jump systems (MJSs) with input saturation. To avoid the waste of network resources, a dynamic event-triggered mechanism (DETM) is proposed from system plant to controller, which produces a larger interval between two consecutive events compared with the traditional static one. On the basis of this model, sufficient criteria for stochas-tic stability of the controlled MJSs are derived by linear matrix inequalities (LMIs) and the controllers are designed. Then the maximum estimate of the domain of attraction (DOA) is obtained by the optimization procedure. Finally, examples show that the proposed DETM has better properties of saving resources than static event-triggered mechanism (ETM) while maintaining the same performance.(c) 2023 European Control Association. Published by Elsevier Ltd. All rights reserved.

引用

页数：9

共 38 条

[1]

Cao YY, 2000, IEEE T AUTOMAT CONTR, V45, P77, DOI 10.1109/9.827358

[2] Reliable H∞ control on saturated linear Markov jump system with uncertain transition rates and asynchronous jumped actuator failure [J].

Chen, Zhaohui ;

Cao, Zhong ;

Huang, Qi ;

Campbell, Stephen L. .

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (09) :3853-3872

[3] Fault detection filter design for networked systems with cyber attacks [J].

Dai, Shifang ;

Zha, Lijuan ;

Liu, Jinliang ;

Xie, Xiangpeng ;

Tian, Engang .

APPLIED MATHEMATICS AND COMPUTATION, 2022, 412

[4] Event-triggered control of positive Markov jump systems without/with input saturation [J].

Deng, Xuanjin ;

Zhang, Junfeng ;

Li, Shuo ;

Fu, Shizhou .

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, 2021, 43 (07) :1503-1518

[5] Dynamic Triggering Mechanisms for Event-Triggered Control [J].

Girard, Antoine .

IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2015, 60 (07) :1992-1997

[6] Stability and stabilization of singular Markovian jump systems by dynamic event-triggered control strategy [J].

Guan, Chaoxu ;

Fei, Zhongyang ;

Feng, Zhiguang ;

Shi, Peng .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2020, 38

[7] A Survey of Recent Results in Networked Systems Analysis and Design [J].

Ji, Xiu-Huan .

2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, :1931-1935

[8]

Krasovskii N. N., 1961, Automation and Remote Control, V22, P1021

[9] Output-based event-triggered control of networked systems subject to bilateral packet dropouts [J].

Li, Chengchao ;

Wu, Chunyu ;

Abozinadah, E. ;

Alassafi, Madini O. ;

Xu, Ning .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (09) :5234-5248

[10] Event-triggered stabilization for continuous-time saturating Markov jump systems with generally uncertain transition rates [J].

Li, Hongchao ;

Liu, Xinzhou ;

Liu, Jiao ;

Yang, Peng .

ASIAN JOURNAL OF CONTROL, 2021, 23 (03) :1545-1556

← 1 2 3 4 →