HOutput Anti-Disturbance Control of Stochastic Markov Jump Systems with Multiple Disturbances

Mouquan Shen, Hainan Zhang, Sing Kiong Nguang, Choon Ki Ahn

Research output: Contribution to journalArticlepeer-review

37 Citations (Scopus)


This article is concerned with the anti-disturbance control for Markov jump systems with matched and mismatched disturbances. First, the matched part is estimated by an output-based disturbance observer. Meanwhile, the mismatched part is attenuated by the H_∞ controller. Therefore, a composite static output control scheme is built to make the closed-loop system stable with the required H_∞ performance. Second, an integral sliding-mode output (ISMO) control approach is proposed to restrain the mentioned disturbances by using the upper bounds of disturbances. Third, an ISMO anti-disturbance strategy is established to integrate the advantages of the above two methods. It is noteworthy to point out that the proposed output observer structure could be reduced to the state case. Moreover, the diagonal constraint on Lyapunov variables is removed in this article. Finally, a numerical example is simulated to validate the effectiveness of the proposed methods.

Original languageEnglish
Pages (from-to)7633-7643
Number of pages11
JournalIEEE Transactions on Systems, Man, and Cybernetics: Systems
Issue number12
Publication statusPublished - 2021 Dec 1

Bibliographical note

Funding Information:
This work was supported in part by the National Natural Science Foundation of China under Grant 61773200 and Grant 61403189, in part by the Peak of Six Talents in Jiangsu Province under Grant 2015XXRJ-011, in part by the Doctoral Foundation of Ministry of Education of China under Grant 20133221120012, in part by the Natural Science Foundation of Jiangsu Province of China under Grant BK20130949, and in part by the National Research Foundation of Korea (NRF) Grant Funded by the Korea Government (Ministry of Science and ICT) under Grant NRF-2020R1A2C1005449.

Publisher Copyright:
© 2013 IEEE.


  • Anti-disturbance control
  • H∞ control
  • Markov jump systems (MJSs)

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Human-Computer Interaction
  • Computer Science Applications
  • Electrical and Electronic Engineering


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