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Finite frequency positive real control for singularly perturbed systems

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Abstract

In this paper, strictly positive real control for singularly perturbed systems in (semi)finite frequency ranges is studied. For the general linear systems, necessary and sufficient conditions for the existence of a stabilizing state feedback controller are given based on the generalized KYP lemma, and use the results to study singularly perturbed systems, a composite state feedback controller is constructed, which preserves the stability and positive real property.

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Authors and Affiliations

  1. School of Automation, Nanjing University of Science and Technology, Nanjing, China

    Yanlong Huang, Chenxiao Cai & Yun Zou

Authors
  1. Yanlong Huang
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  2. Chenxiao Cai
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  3. Yun Zou
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Corresponding author

Correspondence to Yanlong Huang.

Additional information

Recommended by Editor Young Il Lee. This work was supported by the National Natural Science Foundation of China under Grant No.60784007 and National Science Foundation for Distinguished Young Scholars of P.R China under Grant 60625303 and Specialized Research Fund for the Doctoral Program of Higher Education under Grant Nos.20070288055 and 200802880024.

Yanlong Huang received his B.S. and M.S. degrees in Automatic Control from Nanjing University of Science and Technology, Nanjing, China, in 2008 and 2010, respectively. He is working toward a Ph.D. degree with the Laboratory of Complex Systems and Intelligence Science, Institute of Automation, Chinese Academy of Sciences, Beijing, China. His research interests include control, robotics, and automation.

Chenxiao Cai received her Ph.D. degree in Control Theory and Control Engineering from Automatic School of Nanjing University of Science and Technology in 2004. Now she is an associate professor at automatic school of Nanjing University of Science and Technology. Her research interests cover analysis and synthesis about singularly perturbed system and so on.

Yun Zou received his B.S. degree from Northwestern University, China, in 1983, majored in Numerical Mathematics, and his Ph.D. degree from Nanjing University of Science and Technology, China, in 1990, majored in Automatic Control. He is now a professor of the Department of Automation in Nanjing University of Science and Technology, and a mathematical reviewer of Mathematical Reviews. His research interests include singular systems, 2-D systems, nonlinear systems and power systems.

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Huang, Y., Cai, C. & Zou, Y. Finite frequency positive real control for singularly perturbed systems. Int. J. Control Autom. Syst. 9, 376–383 (2011). https://doi.org/10.1007/s12555-011-0220-5

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  • DOI: https://doi.org/10.1007/s12555-011-0220-5

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