A parameter-varying fault detection filter design approach for polytopic uncertain linear systems

Abstract

This paper is concerned with the robust fault detection (FD) problem for a class of polytopic uncertain linear systems driven by a Wiener process. It is assumed that the state matrix is affinely depending on unknown but bounded time-varying parameters. A switching mechanism is introduced to construct the robust FD filter with variable gains and to improve the FD performances which are inherent in the traditional FD filter with fixed gains. Finally, the filter design problem is formulated as a feasibility problem in terms of solving linear matrix inequalities (LMIs), and an example is presented to illustrate the proposed methodology.

Keywords:

• parameter-varying
• fault detection
• polytopic uncertain systems
• Wiener process

Acknowledgements

This work was supported in part by the National 973 Program of China (Grant No. 2009CB 320604), the Funds of National Science of China (Grant Nos. 60974043, 60904010, 61104015) and the 111 Project (B08015), the Funds of Doctoral Program of Ministry of Education, China (Grant No. 20100042110027), A Foundation for the Author of National Excellent Doctoral Dissertation of P.R. China (Grant No. 201157), the Nature Science of Foundation of Liaoning Province (Grant No. 201202063), the Fundamental Research Funds for the Central Universities (Grant No. N110305006).

Additional information

Notes on contributors

Zhe Shen

Zhe Shen received the BS and PhD degrees from Northeast University, China. Her research interests include fault detection and diagnosis.

Guang-Hong Yang

Guang-Hong Yang received the BS and MS degrees from Northeast University of Technology, China, in 1983 and 1986, respectively, and the PhD degree in Control Engineering from Northeastern University, China (formerly, Northeast University of Technology), in 1994. He was a Lecturer/Associate Professor with Northeastern University from 1986 to 1995. He joined the Nanyang Technological University in 1996 as a Postdoctoral Fellow. From 2001 to 2005, he was a Research Scientist/Senior Research Scientist with the National University of Singapore. He is currently a Professor at the College of Information Science and Engineering, Northeastern University. His current research interests include fault-tolerant control, fault detection and isolation, non-fragile control systems design and robust control. Dr Yang is an Associate Editor for the IEEE Transactions on Fuzzy Systems and the International Journal of Systems Science (IJSS).

Peng Sun

Peng Sun received the PhD degree in Control Theory and Control Engineering from Northeastern University in 2009. He is currently an Associate Professor in the Department of Criminal Science and Technology, China Criminal Police University. His research interests cover image processing, image forensics, and video authentication.