https://orcid.org/0000-0003-2107-7448
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Abstract
In this paper, the set-membership filtering problem is investigated for a class of piecewise linear systems with state constraintsand censored measurements under the Round-Robin (RR) protocol. First of all, the mode of the piecewise linear system is determined by itsstate. The noises under consideration satisfy two ellipsoid constraints. According the schedule of the RR protocol, a set of piecewise linearfilters is constructed in terms of the censored measurements transmitted through the shared network. The objective of this paper is todesign a set of filter gains such that the augmented dynamics satisfies the desirable ellipsoid constraint in the simultaneous presence of stateconstraints, censored measurements and RR protocol. A sufficient condition for the existence of piecewise linear filters is obtained and aconvex optimisation method is presented to derive the minimized ellipsoid in the sense of matrix trace. Finally, a simulation example is givento verify the effectiveness of the proposed design method.
Acknowledgements
This work was supported in part by the National Natural Science Foundation of China under Grants 61873058 and 61933007, the China Postdoctoral Science Foundation under Grant 2017M621242, the PetroChina Innovation Foundation under Grant 2018D-5007-0302, the Natural Science Foundation of Heilongjiang Province of China under Grant ZD2019F001, the Northeast Petroleum University Innovation Foundation for Postgraduate under Grant JYCX-CX06-2019, and the Alexander von Humboldt Foundation of Germany.
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No potential conflict of interest was reported by the author(s).
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Xuerong Li
Xuerong Li received her B.Sc degree in Automation from the School of Electrical Information, Northeast Petroleum University, Daqing, China, in 2016. She is currently pursuing the Ph.D. degree in Petroleum and Natural Gas Engineering at the Northeast Petroleum University, Daqing, China. Her research interests include network control system and set-membership filtering.
Fei Han
Fei Han received the B.Sc degree in mathematics and applied mathematics from China University Ming and Technology, Xuzhou, China, in 2003, the M.Sc degree in applied mathematics from Henan Normal University, Xinxiang, China, in 2009, and the Ph.D. degree in system analysis and integration from University of Shanghai for Science and Technology, Shanghai, China, in 2017. From March 2018 to June 2018, he was a Senior Research Assistant in the Department of Electronic Engineering, the City University of Hong Kong. He is currently an Associate Professor with the Institute of Complex Systems and Advanced Control, Northeast Petroleum University, Daqing, China. His current research interests include distributed control and filtering. He is a very active reviewer for many international journals.
Nan Hou
Nan Hou received the B.Eng. degree in Automation, the M.Eng. degree in control science and engineering, Ph.D. degree in petroleum and natural gas engineering in 2012, 2015 and 2018, respectively, all from the Northeast Petroleum University, Daqing, China. From March 2018 to June 2018, she was a Research Associate with the Department of Mathematics, City University of Hong Kong, Hong Kong. She is currently an Associate Professor with the Institute of Complex Systems and Advanced Control, Northeast Petroleum University, Daqing, China. Her research interests include networked control systems, oil gas information and control engineering.
Hongli Dong
Hongli Dong received the Ph.D. degree in control science and engineering from the Harbin Institute of Technology, Harbin, China, in 2012. From 2009 to 2010, she was a Research Assistant with the Department of Applied Mathematics, City University of Hong Kong, Hong Kong. From 2010 to 2011, she was a Research Assistant with the Department of Mechanical Engineering, the University of Hong Kong, Hong Kong. From 2011 to 2012, she was a Visiting Scholar with the Department of Computer Science, Brunel University London, London, U.K. From 2012 to 2014, she was an Alexander von Humboldt Research Fellow with the University of Duisburg-Essen, Duisburg, Germany. She is currently a Professor with the Institute of Complex Systems and Advanced Control, Northeast Petroleum University, Daqing, China. She is also the Director of the Heilongjiang Provincial Key Laboratory of Networking and Intelligent Control, Daqing, China. Her current research interests include robust control and networked control systems. Dr. Dong is a very active reviewer for many international journals.
Hongjian Liu
Hongjian Liu received his B.Sc. degree in applied mathematics in 2003 from Anhui University, Hefei, China and the M.Sc. degree in detection technology and automation equipments in 2009 from Anhui Polytechnic University, Wuhu, China, and the Ph.D. degree in control science and engineering in 2018 from Donghua University, Shanghai, China. In 2016, he was a Research Assistant with the Department of Mathematics, Texas A&M University at Qatar, Doha, Qatar, for two months. From March 2017 to March 2018, he was a Visiting Scholar in the Department of Information Systems and Computing, Brunel University London, UK. He is currently an Associate Professor in the School of Mathematics and Physics, Anhui Polytechnic University, Wuhu, China. Dr. Liu's current research interests include filtering theory, memristive neural networks and network communication systems. He is a very active reviewer for many international journals.