Abstract
In this paper, the problem of actuator fault detection for discrete-time switched systems with output disturbance is investigated. By using the descriptor observer method, an H∞ fault detection filter is designed to guarantee that the augmented system is admissible and satisfies a prescribed H∞ performance index. By utilizing switched Lyapunov function approach, a sufficient condition for the admissible of the augmented system is obtained. Based on the obtained results, a desired fault detection filter can be designed. All the results are formulated in the form of linear matrix inequalities. Finally, an example is proposed to illustrate the effectiveness of the developed method.
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Recommended by Associate Editor M. Chadli under the direction of Editor Yoshito Ohta. This work is supported by Natural Science Foundation of Jiangsu Province (BK20140457), the National Science Foundation for Post-doctoral Scientists of China (2016M601814), and Post-doctoral Foundation of Jiangsu Province (1601005B).
Dongsheng Du received the B.S. degree in applied mathematics and M.S. degree in control theory from Qufu Normal University, Qufu, China, in 2003 and 2006, the Ph.D. in control theory and engineering from Nanjing University of Aeronautics and Astronautics, Nanjing, China, in 2012. From 2008 to 2013, he was a lecture with School of Science, Huaihai Institute of Technology. From 2015, he was an associate professor with Faculty of Automation, Huaiyin Institute of Technology. From Nov. 2016 to Nov. 2017, he was a visiting scholar with Centre de Recherche en Informatique, Signal et Automatique de Lille, Polytech’Lille, France. His current research interests include fault diagnosis, fault tolerant control and switched system.
Shengyuan Xu received his B.Sc. degree from the Hangzhou Normal University, China in 1990, M.Sc. degree from the Qufu Normal University, China in 1996, and Ph.D. degree from the Nanjing University of Science and Technology, China 1999. From 1999 to 2000 he was a Research Associate in the Department of Mechanical Engineering at the University of Hong Kong, Hong Kong. From December 2000 to November 2001, and December 2001 to September 2002, he was a Postdoctoral Researcher in CESAME at the Universitĺĺ catholique de Louvain, Belgium, and the Department of Electrical and Computer Engineering at the University of Alberta, Canada, respectively. Since November 2002, he has joined the School of Automation at the Nanjing University of Science and Technology as a professor. Dr. Xu is a member of the Editorial Boards of the Transactions of the Institute of Measurement and Control, and the Journal of the Franklin Institute. His current research interests include robust filtering and control, singular systems, time-delay systems, neural networks, multidimensional systems and nonlinear systems.
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Du, D., Xu, S. Actuator fault detection for discrete-time switched linear systems with output disturbance. Int. J. Control Autom. Syst. 15, 2590–2598 (2017). https://doi.org/10.1007/s12555-016-0577-6
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DOI: https://doi.org/10.1007/s12555-016-0577-6