Fault detection filter design for a class of discrete-time impulsive switched systems with quantised signals

ABSTRACT

This paper addresses the fault detection scheme for discrete-time nonlinear impulsive switched systems with a dynamic quantizer which is constituted with a dynamic parameter and a static quantizer. The stability of the given systems and the effective fault detection scheme are the goals of this problem. Consequently, model an original impulsive switched system with quantised signals, a switching strategy which is based on Lyapunov function and average dwell time is proposed. Subsequently, for practical network transmission channels requirement, the quantizer range and quantisation error are completely considered here to design a novel fault detection scheme, the sufficient conditions of designed fault detection filter are established by linear matrix inequality method. Finally, an illustrative example is introduced to demonstrated the validity of the presented method.

KEYWORDS:

• Fault detection
• nonlinear impulsive switched systems
• linear matrix inequality
• dynamic quantizer

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work was supported by the National Natural Science Foundation of China (61873057), Natural Science Foundation of Jilin Province (20180520211JH) and Jilin City Science and Technology Bureau (201831727, 201831731).

Notes on contributors

Dongsheng Chen

Dongshen Chen received his M.Sc. degree in control theory and application from Zhejiang University. He completed his Ph.D. degree in acoustics at Chinese Academy of Sciences, China. Now he is an Associate Professor at the School of Automation Engineering, Northeast Electric Power University, China. He has published 3 articles on SCI Journals and 6 papers on international conferences. His research interests include acoustic positioning and control engineering.

Cong Chen

Cong Chen received her B.Sc. degree in control science and engineering in 2019 from Northeast Electric Power University, China. Now he is a Ph.D candidate at the School of Automation, Beijing University of Technology, China. Her research interests include switched systems and intelligent control technology.

Jian Li

Jian Li received her B.Sc. and M.Sc. degrees in electrical automation and control theory and application from the Liaoning TechnicalUniversity, China in 2005 and 2008, respectively, and the Ph. D. degree in control theory and application from Northeast University, China in 2013. Currently, she is an Associate Professor in the School of Automation Engineering, Northeast Electric Power University, China. From June 2015 to August 2015, she was a visiting scholar at the Nonlinear Dynamics Group, Yeungnam University, South Korea. From October 2016 to October 2017, she was a visiting scholar at the National University of Singapore. She has published 34 articles on SCI Journals papers as the first author. Her research interests include fault detection, robust control and micro-grid.