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Abstract
A passive fault-tolerant control strategy is proposed for systems subject to a novel kind of intermittent fault, which is described by a Bernoulli distributed random variable. Three cases of fault location are considered, namely, sensor fault, actuator fault, and both sensor and actuator faults. The dynamic feedback controllers are designed not only to stabilise the fault-free system, but also to guarantee an acceptable performance of the faulty system. The robust H∞ performance index is used to evaluate the effectiveness of the proposed control scheme. In terms of linear matrix inequality, the sufficient conditions of the existence of controllers are given. An illustrative example indicates the effectiveness of the proposed fault-tolerant control method.
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No potential conflict of interest was reported by the authors.
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Notes on contributors
Yuan Tao
Yuan Tao received his BS degree from Beijing University of Chemical Technology, Beijing, China, in 2008, where he is currently working towards his PhD degree in control theory and control engineering. His research interests include fault-tolerant control, robust control, and anaesthesia closed-loop control.
Dong Shen
Dong Shen received his BS degree in mathematics from Shandong University, Jinan, China, in 2005. He received his PhD degree in mathematics from the Academy of Mathematics and System Science, Chinese Academy of Sciences (CAS), Beijing, China, in 2010. From 2010 to 2012, he was a post-doctoral fellow with the Institute of Automation, CAS. Since 2012, he has been an associate professor with the College of Information Science and Technology, Beijing University of Chemical Technology (BUCT), Beijing, China. His current research interests include iterative learning controls, stochastic control, and optimisation.
Mengqi Fang
Mengqi Fang received her BS degree from Beijing University of Chemical Technology, Beijing, China, in 2012, where she is currently working towards her Master's degree in the Control Theory and Control Engineering. Her research interests include subspace-based system identification, model predictive control, and anaesthesia closed-loop control.
Youqing Wang
Youqing Wang received his BS degree from Shandong University, Jinan, Shandong, China, in 2003, and his PhD degree in control science and engineering from Tsinghua University, Beijing, China, in 2008. He worked as a research assistant in the Department of Chemical Engineering, Hong Kong University of Science and Technology, from February 2006 to August 2007. From February 2008 to February 2010, he worked as a senior investigator in the Department of Chemical Engineering, University of California, Santa Barbara, CA, USA. From March 2008 to December 2011, he was an adjunct senior investigator in Sansum Diabetes Research Institute. Currently, he is a full professor in Beijing University of Chemical Technology. His research interests include fault-tolerant control, state monitoring, modelling and control of biomedical processes (e.g. artificial pancreas system), and iterative learning control. He is an (associate) editor of Multidimensional Systems and Signal Processing and Mathematical Problems in Engineering. He is also a member of the IFAC Technical Committee on Biological and Medical Systems. He is a recipient of several research awards (including Journal of Process Control Survey Paper Prize and Zhang Zhong-Jun Academician Outstanding Paper Award).