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H-infinity Output Anti-Disturbance Control of Stochastic Markov Jump Systems With Multiple Disturbances

Authors
Shen, MouquanZhang, HainanNguang, Sing KiongAhn, Choon Ki
Issue Date
12월-2021
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Keywords
Anti-disturbance control; H-infinity control; Markov jump systems (MJSs)
Citation
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, v.51, no.12, pp.7633 - 7643
Indexed
SCIE
SCOPUS
Journal Title
IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS
Volume
51
Number
12
Start Page
7633
End Page
7643
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/135595
DOI
10.1109/TSMC.2020.2981112
ISSN
2168-2216
Abstract
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-infinity controller. Therefore, a composite static output control scheme is built to make the closed-loop system stable with the required H-infinity 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.
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