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An improved approach to delay-dependent robust stabilization for uncertain singular time-delay systems

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Abstract

In this paper, delay-dependent stability analysis and robust stabilization for uncertain singular time-delay systems are addressed. By using Jensen integral inequality, an improved delay-dependent criterion of admissibility for singular time-delay systems is proposed in terms of linear matrix inequality (LMI). Our new proposed criterion is less conservative and the numerical complexity is smaller than the existing ones. Based on this criterion, a state feedback controller is designed to ensure that the uncertain singular time-delay system is admissible. Finally, three numerical examples are employed to illustrate the effectiveness of the proposed method.

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Authors and Affiliations

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

    Xin Sun, Qing-Ling Zhang & Zhan Su

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

    Xin Sun, Qing-Ling Zhang, Chun-Yu Yang & Zhan Su

  3. Department of Computer and Mathematics Teaching, Shenyang Normal University, Shenyang, 110034, PRC

    Xin Sun & Yong-Yun Shao

Authors
  1. Xin Sun
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  2. Qing-Ling Zhang
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  3. Chun-Yu Yang
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  4. Zhan Su
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  5. Yong-Yun Shao
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Corresponding author

Correspondence to Xin Sun.

Additional information

This work was supported by National Natural Science Foundation of China (No. 60904009, No. 60974004).

Xin Sun graduated from Shenyang Normal University (SYNU), PRC in 1995. She received the M. Sc. degree from SYNU in 2006. Now, she is a Ph.D. candidate at Institute of Systems Science, Northeastern University, PRC. She is also an associate professor at Department of Computer and Mathematics Teaching, Shenyang Normal University.

Her research interests include singular systems and networked control systems.

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, PRC in 1982, 1986, and 1995, respectively. He finished his two-year post-doctoral work in Automatic Control Department of Northeastern Polytechnical University, Xi’an, PRC in 1997. Since then, he has been a professor at Northeastern University. He received 14 prizes from central and local governments for his research. He also received the Golden Scholarship from Australia in 2000.

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

Chun-Yu Yang received the B. Sc. degree from the Mathematics Department of Northeastern University, PRC in 2002 and received the Ph.D. degree from Northeastern University in 2008. He received more than 3 prizes from central and local governments for his research. Now, he works at Key Laboratory of Integrated Automation of Process Industry, Ministry of Education, Northeastern University.

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

Zhan Su received the B. Sc. degree from the College of Sciences, Northeastern University (NEU), PRC in 2005 and received M. Sc. degree from NEU in 2007. Now, she is a Ph. D. candidate at Institute of Systems Science, Northeastern University.

Her research interests include practical stability theory on nonlinear system, singular systems, fuzzy control, and networked control systems.

Yong-Yun Shao graduated from Shenyang Normal University (SYNU), PRC in 1995. He received the M. Sc. degree from SYNU in 2005. Now, he is a Ph.D. candidate at Dalian Maritime University, PRC. He is currently an associate professor at Department of Computer and Mathematics Teaching, Shenyang Normal University.

His research interests include singular systems, fuzzy control, and networked control systems.

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Sun, X., Zhang, QL., Yang, CY. et al. An improved approach to delay-dependent robust stabilization for uncertain singular time-delay systems. Int. J. Autom. Comput. 7, 205–212 (2010). https://doi.org/10.1007/s11633-010-0205-5

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  • DOI: https://doi.org/10.1007/s11633-010-0205-5

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