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Detecting sensor fault for nonlinear systems in T–S form under sampled-data measurement: Exact direct discrete-time design approach

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  • Control Theory and Applications
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Abstract

A direct discrete-time design methodology for sampled-data sensor fault detection for nonlinear systems in Takagi–Sugenos form is proposed. Contrary to the conventional schemes in this way that rely on an approximate discrete-time model of the nonlinear system, our result is established based on an exact one. Condition to design the observer and the residual gain under an H-/H ∞ performance criterion is presented in matrix inequality format. An example is given to illustrate the effectiveness of the proposed methodology.

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Authors and Affiliations

  1. Korea Institute of Robot and Convergence, Pohang, 790-834, Korea

    Sung Chul Jee

  2. Department of Electronic Engineering, Inha University, Incheon, 402-751, Korea

    Ho Jae Lee

  3. Department of Electrical Engineering, Hanbat National University, Daejeon, 305-719, Korea

    Do Wan Kim

Authors
  1. Sung Chul Jee
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  2. Ho Jae Lee
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  3. Do Wan Kim
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Corresponding author

Correspondence to Ho Jae Lee.

Additional information

Recommended by Associate Editor Choon Ki Ahn under the direction of Editor Duk-Sun Shim. This research was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIP) (No. 2014R1A2A2A01005664), by Basic Science Research Program through the NRF funded by the Ministry of Education (No. 2014R1A1A1004610), and by the project titled “R&D Center for Underwater Construction Robotics, funded by the Ministry of Oceans and Fisheries (MOF) and Korea Institute of Marine Science & Technology Promotion (KIMST), Korea (PJT200539).

Sung Chul Jee received his B.S., M.S., and Ph.D. degrees from the Department of Electronic Engineering, Inha University, Incheon, Korea, in 2009, 2011, and 2014, respectively. Now, he is Senior Researcher of Korea Institute of Robot and Convergence. His research interests are underwater hydraulic systems, autonomous unmanned vehicles, remotely operated vehicles, and fault detection.

Ho Jae Lee received the B.S., M.S., and Ph.D. degrees from the Department of Electrical and Electronic Engineering, Yonsei University, Seoul, Korea, in 1998, 2000, and 2004, respectively. In 2005, he was a Visiting Assistant Professor with the Department of Electrical and Computer Engineering, University of Houston, Houston, TX. Since 2006, he has been with the Department of Electronic Engineering, Inha University, Incheon, Korea, where he is currently an Assistant Professor. His research interests include fuzzy control systems, hybrid dynamical systems, large-scale systems, and digital redesign.

Do Wan Kim received the B.S., M.S., and Ph.D. degrees from the Department of Electrical and Electronic Engineering, Yonsei University, Seoul, Korea, in 2002, 2004, and 2007, respectively. He was a Visiting Scholar with the Department of Mechanical Engineering, University of California, Berkeley, in 2008, and a Research Professor with the Department of Electrical and Electronic Engineering, Yonsei University, in 2009. Since 2010, he has been a Full-time Instructor with the Department of Electrical Engineering, Hanbat National University, Daejeon, Korea. His current research interests include analysis and synthesis of nonlinear sampled-data control systems.

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Jee, S.C., Lee, H.J. & Kim, D.W. Detecting sensor fault for nonlinear systems in T–S form under sampled-data measurement: Exact direct discrete-time design approach. Int. J. Control Autom. Syst. 14, 452–460 (2016). https://doi.org/10.1007/s12555-015-0033-z

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  • DOI: https://doi.org/10.1007/s12555-015-0033-z

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