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Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systems

2015; Taylor & Francis; Volume: 47; Issue: 16 Linguagem: Inglês

10.1080/00207721.2015.1122848

1464-5319

Changchun Hua, Guopin Liu, Zhenhua Bai, Xinping Guan,

Control Systems and Identification

ABSTRACTABSTRACTIn this paper, we focus on the problem of adaptive stabilisation for a class of interconnected uncertain switched stochastic nonlinear systems. Classical adaptive and backstepping technique are employed for control synthesis. Instead of estimating the switching parameters directly, we design the adaptive controller based on the estimations of bounds on switching time-varying parameters. A smooth function is introduced to deal with the difficulties caused by unknown interactions and tuning function approach is used to circumvent the overparameter problem. It is shown that under the action of the proposed controller all the signals of the overall closed-loop systems are globally uniformly bounded in probability under arbitrary switching. Simulation results are presented to illustrate the effectiveness of the proposed approach.Keywords: Stochastic nonlinear systemsdecentralised adaptive controlbackstepping techniquearbitrary switching Disclosure statementNo potential conflict of interest was reported by the authors.Additional informationFundingThis paper is partially supported by Hundred Excellent Innovation Talents Support Program of Hebei Province, Doctoral Fund of Ministry of Education of China [grant number 20121333110008]; Hebei Province Applied Basis Research Project [grant number 13961806D]; Top Talents Project of Hebei Province, and the National Natural Science Foundation of China [grant number 61290322], [grant number 61273222], [grant number 61322303], [grant number 61473248].Notes on contributorsChangchun HuaChangchun Hua received his PhD degree in Electrical Engineering from Yanshan University, Qinhuangdao, China, in 2005. He was a research fellow in National University of Singapore from 2006 to 2007. From 2007 to 2009, he worked in Carleton University, Canada, funded by Province of Ontario Ministry of Research and Innovation Program. From 2009 to 2011, he worked in University of Duisburg-Essen, Germany, funded by Alexander von Humboldt Foundation. Now he is a full professor in Yanshan University, China. He is the author or co-author of more than 110 papers in mathematical, technical journals, and conferences. He has been involved in more than 10 projects supported by the National Natural Science Foundation of China, the National Education Committee Foundation of China, and other important foundations. His research interests are in nonlinear control systems, control systems design over network, teleoperation systems, and intelligent control. Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systemsAll authorsChangchun Hua, Guopin Liu, Zhenhua Bai & Xinping Guanhttps://doi.org/10.1080/00207721.2015.1122848Published online:15 December 2015Display full sizeGuopin LiuGuopin Liu received his BS degree in Electrical Engineering from Yanshan University, Qinhuangdao, China, in 2014. He is currently working towards the MS degree in Electrical Engineering. His research interest is in nonlinear system control. Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systemsAll authorsChangchun Hua, Guopin Liu, Zhenhua Bai & Xinping Guanhttps://doi.org/10.1080/00207721.2015.1122848Published online:15 December 2015Display full sizeZhenhua BaiZhenhua Bai received his PhD degree in Mechanical Design and Theory from Yanshan University, Qinhuangdao, China, in 2002. Now he is a full professor in Yanshan University, China. Professor Bai is serving as a reviewer of Iron and Steel, China Mechanical Engineering, a senior member of Chinese Mechanical Engineering Society. His research interests are in mechanical design manufacture and automation, flatness control, and steel rolling equipment and technology. Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systemsAll authorsChangchun Hua, Guopin Liu, Zhenhua Bai & Xinping Guanhttps://doi.org/10.1080/00207721.2015.1122848Published online:15 December 2015Display full sizeXinping GuanXinping Guan received the BS degree in Mathematics from Harbin Normal University, Harbin, China, the MS degree in Applied Mathematics, and the PhD degree in Electrical Engineering, both from Harbin Institute of Technology, in 1986, 1991, and 1999, respectively. He is with the Department of Automation, Shanghai Jiao Tong University. He is the (co)author of more than 200 papers in mathematical, technical journals, and conferences. As (a)an (co)-investigator, he has finished more than 20 projects supported by National Natural Science Foundation of China (NSFC), the National Education Committee Foundation of China, and other important foundations. He is Cheung Kong Scholars Programme Special appointment professor. His current research interests include networked control systems, robust control and intelligent control for complex systems and their applications. Dr Guan is serving as a reviewer of Mathematic Review of America, a member of the Council of Chinese Artificial Intelligence Committee, and chairman of Automation Society of Hebei Province, China. Decentralised adaptive control for a class of stochastic switched interconnected nonlinear systemsAll authorsChangchun Hua, Guopin Liu, Zhenhua Bai & Xinping Guanhttps://doi.org/10.1080/00207721.2015.1122848Published online:15 December 2015Display full size