TY - JOUR
T1 - H∞Output Anti-Disturbance Control of Stochastic Markov Jump Systems with Multiple Disturbances
AU - Shen, Mouquan
AU - Zhang, Hainan
AU - Nguang, Sing Kiong
AU - Ahn, Choon Ki
N1 - 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.
PY - 2021/12/1
Y1 - 2021/12/1
N2 - 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.
AB - 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.
KW - Anti-disturbance control
KW - H∞ control
KW - Markov jump systems (MJSs)
UR - http://www.scopus.com/inward/record.url?scp=85090009737&partnerID=8YFLogxK
U2 - 10.1109/TSMC.2020.2981112
DO - 10.1109/TSMC.2020.2981112
M3 - Article
AN - SCOPUS:85090009737
SN - 2168-2216
VL - 51
SP - 7633
EP - 7643
JO - IEEE Transactions on Systems, Man, and Cybernetics: Systems
JF - IEEE Transactions on Systems, Man, and Cybernetics: Systems
IS - 12
ER -