Tracking Control Design for Markov Jump Systems With Time-varying Delay and External Disturbances

被引：1

作者：

Vijayakumar, Muthusamy ^{[1
]}

Saklhivel, Rathinasamy ^{[2
]}

Almakhles, Dhafer ^{[3
]}

Anthoni, Selvaraj Marshal ^{[1
]}

机构：

[1] Anna Univ, Dept Math, Reg Campus, Coimbatore 641046, India

[2] Bharathiar Univ, Dept Appl Math, Coimbatore 641046, India

[3] Prince Sultan Univ, Dept Commun & Networks Engn, Riyadh, Saudi Arabia

来源：

INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS | 2023年 / 21卷 / 07期

关键词：

Disturbance estimation; Markov jump systems; output tracking control; time-varying delay; SWITCHED SYSTEMS; FEEDBACK-CONTROL; STATE-DELAY; INPUT; REJECTION; STABILITY;

D O I：

10.1007/s12555-021-0884-4

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 article intends to provide an effective output tracking control protocol and enhanced disturbance rejection performance for a class of continuous-time Markov jump systems (MJSs) with time-varying delay and external disturbances. Precisely, enhanced EID strategy combined with a proportional integral control is proposed to solve the output tracking problem for the addressed systems. In particular, an enhanced EID strategy can deal with the system flexibility and to increase disturbance rejection performance. The needed gain values for assuring the mean-square asymptotic stability of the MJSs are identified with the help of the Lyapunov-Krasovskii functional and linear matrix inequalities. The approach described in this paper can improve output tracking and disturbances rejection performance than some exiting results, which is explored through simulation results. Moreover, the legality of theoretical explorations is also verified by the RLC series circuit model.

引用

页码：2210 / 2222

页数：13

共 50 条

[1] Tracking Control Design for Markov Jump Systems With Time-varying Delay and External Disturbances
Muthusamy Vijayakumar
Rathinasamy Saklhivel
Dhafer Almakhles
Selvaraj Marshal Anthoni
[J]. International Journal of Control, Automation and Systems, 2023, 21 : 2210 - 2222
[2] PI tracking control for nonlinear time-varying delay Markov jump systems
Cong Liu
Lijuan Xu
[J]. International Journal of Control, Automation and Systems, 2015, 13 : 319 - 326
[3] PI Tracking Control for Nonlinear Time-varying Delay Markov Jump Systems
Liu, Cong
Xu, Lijuan
[J]. INTERNATIONAL JOURNAL OF CONTROL AUTOMATION AND SYSTEMS, 2015, 13 (02) : 319 - 326
[4] Robust Tracking Control for Fuzzy Markovian Jump Systems With Time-Varying Delay and Disturbances
Sakthivel, R.
Harshavarthini, S.
Kavikumar, R.
Ma, Yong-Ki
[J]. IEEE ACCESS, 2018, 6 : 66861 - 66869
[5] Composite Anti-Disturbance Control of Positive Markov Jump Systems With Disturbances and Time-Varying Delay
Xu, Yuhan
Zhu, Yukai
Tian, Bo
Qiao, Jianzhong
Wang, Chenliang
[J]. PROCEEDINGS OF THE 33RD CHINESE CONTROL AND DECISION CONFERENCE (CCDC 2021), 2021, : 5678 - 5684
[6] H∞ control of Markov jump systems with time-varying delay and incomplete transition probabilities
Li, Lingchun
Shen, Mouquan
Zhang, Guangming
Yan, Shen
[J]. APPLIED MATHEMATICS AND COMPUTATION, 2017, 301 : 95 - 106
[7] Disturbance-observer-based control for Markov jump systems with time-varying delay
Gao, Qian
Gao, Xianwen
Qi, Wenhai
[J]. OPTIMAL CONTROL APPLICATIONS & METHODS, 2018, 39 (02): : 575 - 588
[8] Feedback stabilization of Markov jump linear systems with time-varying delay
Sathananthan, S.
Adetona, O.
Beane, C.
Keel, L. H.
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2008, 26 (03) : 577 - 594
[9] Robust H∞ Filtering for Markov Jump Systems with Interval Time-varying Delay
Wang Lei
Zhang Ying
Zhang Rui
Dou Xiaochao
[J]. 2013 32ND CHINESE CONTROL CONFERENCE (CCC), 2013, : 2745 - 2750
[10] Fuzzy sliding mode control design of Markovian jump systems with time-varying delay
Sakthivel, R.
Sakthivel, R.
Nithya, V.
Selvaraj, P.
Kwon, O. M.
[J]. JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2018, 355 (14): : 6353 - 6370

← 1 2 3 4 5 →