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Review Articles

A survey on hidden Markov jump systems: asynchronous control and filtering

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Pages 1360-1376 | Received 29 Oct 2022, Accepted 09 Jan 2023, Published online: 29 Mar 2023
 

ABSTRACT

In recent years, the problems of asynchronous control and filtering for Markov jump systems (MJSs) have received great research attention from scientific and engineering communities. The asynchronous situation between the original MJSs and the controller/filter is modelled by the hidden Markov model (HMM). This work gives a survey on the recent development of the HMM-based asynchronous controller and filter design for different MJSs, covering linear MJSs, fuzzy MJSs, semi-MJSs and 2D MJSs. Finally, a conclusion is drawn and the potential future research directions of MJSs are also discussed.

Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This research was supported by the National Natural Science Foundation of China under Grants 62103361, U21A20485, and 62088102, and the Zhejiang Provincial Natural Science Foundation of China under Grant LZ22F030006.

Notes on contributors

Shanling Dong

Shanling Dong received the B.S. degree in Automation from Xidian University, Xi'an, China, in 2014, and the Ph.D. degree in in Control Science and Engineering from Zhejiang University, Hangzhou, China, in 2019. Supported by China Scholarship Council, she was a Visiting Graduate Student at University of California, Rriverside, USA, from Sep. 2017 to Sep. 2018. She was a Research Associate and Post-Doctoral Research Fellow with City University of Hong Kong, Hong Kong SAR, China, from Dec. 2019 to Dec. 2020. She is currently with the College of Electrical Engineering, Zhejiang University, Hangzhou Zhejiang, China. Her research interests include Markov jump systems, fuzzy systems, multi-agent systems and ocean robots.

Meiqin Liu

Meiqin Liu received the B. E. and Ph.D. degrees in control theory and control engineering from Central South University, Changsha, China, in 1994 and 1999, respectively. She was a Post-Doctoral Research Fellow with the Huazhong University of Science and Technology, Wuhan, China, from 1999 to 2001. She was a Visiting Scholar with the University of New Orleans, New Orleans, LA, USA, from 2008 to 2009. She is currently a Professor with the College of Electrical Engineering, Zhejiang University, Hangzhou, China. She has authored more than 200 papers in major journals and international conferences. She has led 16 national or provincial or ministerial projects in the last 5 years, including 9 projects funded by the National Natural Science Foundation of China (NSFC). Her work was supported by the Zhejiang Provincial Natural Science Fund for Distinguished Young Scholars in 2010, and by the National Science Fund for Excellent Young Scholars of China in 2012, respectively. She has won a second prize of Science and Technology Award of Zhejiang Province in 2013. Her current research interests include multi-sensor networks, information fusion, and robust control.

Zheng-Guang Wu

Zheng-Guang Wu was born in 1982. He received the B.S. and M.S. degrees in mathematics from Zhejiang Normal University, Jinhua, China, in 2004 and 2007, respectively, and the Ph.D. degree in control science and engineering from Zhejiang University, Hangzhou, China, in 2011. He is currently a Professor of Institute of Cyber-Systems and Control, Zhejiang University. His research interests include networked systems, intelligent control, Markov jump systems, smart grid, cyber-physical systems, and reinforcement learning. He has published 100+ papers in IEEE Transactions. He was a recipient of the Highly Cited Researcher Award by Clarivate Analytics. He is an Invited Reviewer of Mathematical Review of the American Mathematical Society. He serves (or has served) as the Associate Editor/Editorial Board Member for some international journals, such as the IEEE TRANSACTIONS ON SYSTEMS, MAN, AND CYBERNETICS: SYSTEMS; SCIENCE CHINA Information Sciences; Journal of Systems Science and Complexity; Journal of the Franklin Institute; Neurocomputing; International Journal of Control, Automation, and Systems; IEEE ACCESS; International Journal of Sensors, Wireless Communications and Control; Cyber-Physical Systems; Sensors; Symmetry; and IEEE Control Systems Society Conference Editorial Board.

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