Fault detection for discrete spatially interconnected systems with time-delay over finite frequency domains

Abstract

This paper investigates the problem of fault detection observer design for discrete spatially interconnected time-delay systems (SITSs) in finite frequency range. Firstly, a delay-dependent generalised Kalman–Yakubivich–Popov (GKYP) lemma for SITSs is proposed. Then, by the giving GKYP lemma, a distributed fault detection observer design method can be derived by solving a set of linear matrix inequalities (LMIs). Finally, an illustrative example is provided to demonstrate the effectiveness of the proposed method.

Keywords:

• Spatially interconnected systems
• finite frequency
• fault detection
• time-delay

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This work is supported by the National Natural Science Foundation of PR China [grant number 61673218] and the Jiangsu Natural Science Foundation of PR China [grant number BK20171019].

Notes on contributors

Guopeng Wang

Guopeng Wang Received his M.S. degree in system theory from Liaocheng University, China, in 2013, and his Ph.D. degree in Nanjing University of Science and Technology, China, in 2019. He is currently a lecturer at the Department of Mathematics and Physics, Nanjing Institute of Technology. His research interest covers robust filtering and control, fault detection and spatially interconnected systems.

Huiling Xu

Huiling Xu received her B.S. degree in mathematics from the Nanjing University of Science and Technology, China in 1992, and the M.S. and Ph.D. degrees in control science and control engineering from the Nanjing University of Science and Technology, China in 1999 and 2005, respectively. From 2009 to 2011 she was a Research Fellow in the school of electrical and electronic engineering at the Nanyang Technological University (NTU), Singapore. Since April 2012, she has been a Professor in the school of science at the Nanjing University of Science and Technology, China. Her current research interests include distributed control, multidimensional systems, singular systems, time-delay systems, modelling and optimisation for big data analytics.

Wen Qin

Wen Qin received her M.S. degree from Tianjin Polytechnic University, China, in 2009, and her Ph.D. degree from Nankai University, China, in 2015. She is currently a lecturer at the College of Electrical Engineering and Control Science, Nanjing Tech. University. Her research interest covers formation control for multi-agent systems.

Xiaokai Zhai

Xiaokai Zhai received his B.S. degree in mathematics from Nanjing University of Science and Technology, China, in 2015, where he is currently pursuing the Ph.D. degree in Applied Mathematics. His current research interests include robust distributed control and filtering, finite frequency control, spatially interconnected systems.