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A Reduced-order Fault Detection Filter Design for Polytopic Uncertain Continuous-time Markovian Jump Systems with Time-varying Delays

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  • Control Theory and Applications
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Abstract

In this article, the fault detection (FD) reduced-order filtering problem is investigated for a family of polytopic uncertain continuous-time Markovian jump linear systems (MJLSs) with time-varying delays. Under meeting the the premise of fault detection accuracy, the reduced order fault detection filters are desirable in applications where fast data processing and saving computing space are necessary. Then, by the aid of the Markovian Lyapunov-Krasovskii functional and convex polyhedron techniques, some novel time-varying delays and polytopic uncertain sufficient conditions are proposed to insure the existence of the FD reduced-order filter. Finally, a simulated continuous stirred tank reactor process example is provided to verify the feasibility of the proposed methodology.

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Author information

Authors and Affiliations

  1. College of Electrical and Information, Heilongjiang Bayi Agricultural University, 115, Information Building, 5 Xinfeng Road, Daqing, 163319, China

    Lihong Rong

  2. College of Automation, Harbin Engineering University, 2134, 61 Bulding, 145 Nantong Street, Harbin, 150001, China

    Xiuyan Peng & Biao Zhang

Authors
  1. Lihong Rong
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  2. Xiuyan Peng
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  3. Biao Zhang
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Corresponding author

Correspondence to Xiuyan Peng.

Additional information

Recommended by Associate Editor Guang-Hong Yang under the direction of Editor Duk-Sun Shim. This work was supported by the National Natural Science Foundation of China(61503091), the Education Science Planning Key Project of Heilongjiang Province (GJB1316017) and the Talent Training Project of Heilongjiang Bayi Agricultural University (ZRCPY201813).

Lihong Rong received her B.S. degree in industrial automation from Daqing Petroleum Institute, China, in 2001, an M.S. degree in control theory and engineering from Northeast Petroleum University, China, in 2007, and a Ph.D. degree in control science and engineering at the Harbin Engineering University, China, in 2018. She is currently working at Heilongjiang Bayi Agricultural University. Her research interests include hybrid control systems, fault detection and fault tolerant systems.

Xiuyan Peng received her B.S., M.S. and Ph.D. degrees in Control Science and Engineering from the Harbin Engineering University, in 1985, 1988, and 1995, respectively. She joined Harbin Engineering University in 1988, where she is currently a professor. Her current research interests include stochastic estimation and control, ship movement prediction and control, complex system modeling and prediction. She received Chinese Shipbuilding Prize for her progress in science and technology.

Biao Zhang received his B.S. degree in automation from Harbin University of Science and Technology, China, in 2009, and his M.S. degree in control science and engineering from Harbin Engineering University, China, in 2011. He is currently pursuing the Ph.D. degree in control science and engineering at the Harbin Engineering University, China. His research interests include ship movement prediction and control, complex system modeling and prediction, control theory and application.

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Rong, L., Peng, X. & Zhang, B. A Reduced-order Fault Detection Filter Design for Polytopic Uncertain Continuous-time Markovian Jump Systems with Time-varying Delays. Int. J. Control Autom. Syst. 16, 2021–2032 (2018). https://doi.org/10.1007/s12555-017-0182-3

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