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Observers for descriptor systems with slope-restricted nonlinearities

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Abstract

This paper addresses the observer design problem for a class of nonlinear descriptor systems whose nonlinear terms are slope-restricted. The full-order observer is formulated as a nonlinear descriptor system. A linear matrix inequality (LMI) condition is derived to construct the full-order observer. The existence and uniqueness of the solution to the obtained observer system are guaranteed. Furthermore, under the same LMI condition and a common assumption, a reduced-order observer is designed. Finally, the design methods are reduced to a strict LMI problem and illustrated by a numerical example.

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Author information

Authors and Affiliations

  1. School of Business Administration, Northeastern University, Shenyang, 110004, PRC

    Lin-Na Zhou

  2. Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, 110004, PRC

    Chun-Yu Yang

  3. Institute of Systems Science, Northeastern University, Shenyang, 110004, PRC

    Qing-Ling Zhang

Authors
  1. Lin-Na Zhou
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  2. Chun-Yu Yang
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  3. Qing-Ling Zhang
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Corresponding author

Correspondence to Chun-Yu Yang.

Additional information

This work was supported by National Basic Research Program of China (973 Program) (No. 2009CB320601), National Natural Science Foundation of China (No. 60904009), and Fundamental Research Funds for the Central Universities (No. 100406010, No. 090408001).

Lin-Na Zhou received the B. Sc. degree from the Department of Water Conservancy Engineering of North China Institute of Water Conservancy and Hydroelectric Power, Zhengzhou, PRC in 2001 and the Ph.D. degree in control theory and control engineering from Northeastern University, Shenyang, PRC in 2007. Now, she works at School of Business Administration, Northeastern University, Shenyang, PRC.

Her research interests include descriptor systems, robust control, and fuzzy control.

Chun-Yu Yang received the B. Sc. and the Ph. D. degrees from Northeastern University, Shenyang, PRC in 2002 and 2009, respectively. Now, he works at Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University, Shenyang, PRC.

His research interests include descriptor systems, robust control, and fuzzy control.

Qing-Ling Zhang received the B. Sc. and M. Sc. degrees from the Mathematics Department, and the Ph.D. degree from the Automatic Control Department of Northeastern University, Shenyang, PRC in 1982, 1986, and 1995, respectively. He finished his two-year post-doctoral work in Department of Automatic Control at Northwestern Polytechnical University, Xi’an, PRC in 1997. Since then, he has been a professor at Northeastern University.

His research interests include descriptor systems, robust control, and networked control systems.

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Zhou, LN., Yang, CY. & Zhang, QL. Observers for descriptor systems with slope-restricted nonlinearities. Int. J. Autom. Comput. 7, 472–478 (2010). https://doi.org/10.1007/s11633-010-0529-1

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  • DOI: https://doi.org/10.1007/s11633-010-0529-1

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