Finite-time fault detection filters design for switched systems with all subsystems unstable

ABSTRACT

This paper deals with the problem of finite-time fault detection filters designing problem for switched systems with all subsystems unstable. Using the average dwell time method, a switching rule ensuring stability is given. The filter design is converted to the finite-time $L_2$-gain analysis. Then, sufficient conditions are raised to ensure finite-time boundedness and $L_2$-gain property by LMIs. Discretised Lyapunov function is introduced for the theoretical analysis. In the end, an example is listed to attest the general validity of the raised way.

KEYWORDS:

• Average dwell time
• fault detection
• unstable subsystems
• finite-time boundedness
• $L_2$-gain

Acknowledgements

Grateful thanks to the teachers and the reviewers for their useful comments and help.

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 [61503071, 61773187, 61873057], Natural Science Foundation of Jilin Province [20180520211JH] and Science Research of Education Department of Jilin Province [201693, JJKH20170106KJ].

Notes on contributors

Qingyu Su

Qingyu Su received his B.Sc. degree in electrical automation in 2005, and his M.Sc. degree in control theory and application in 2008, both from Liaoning Technical University, China. He completed his Ph.D. degree in control theory and application in 2013 at Northeastern University, China. Now he is Associate Professor at the School of Automation Engineering, Northeast Electric Power University, China. From October 2015 to October 2016, he was a visiting scholar at the Intelligent Systems and Biomedical Robotics Group (ISR), University of Portsmouth, UK. He has published 31 articles on SCI Journals and 12 papers on international conferences. His research interests include switched systems, nonlinear control systems and power systems.

Zhongxin Fan

Zhongxin Fan received his B.Sc. degree in automation in 2017 from Qufu Normal University, China. Now he is a master degree candidate at the School of Automation Engineering, Northeast Electric Power University, China. His research interests include switched systems, fault detection and cyber-physical systems.

Jian Li

Jian Li received her B.Sc. and M.Sc. degrees in electrical automation and control theory and application from the Liaoning Technical University, 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 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 31 articles on SCI Journals papers as the first author. Her research interests include fault detection, robust control and micro-grid.