Research Article

Static output feedback control for positive linear continuous-time systems

  1. Cuihong Wang1,*,
  2. Tianmin Huang2

Article first published online: 27 APR 2012

DOI: 10.1002/rnc.2836

Issue

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International Journal of Robust and Nonlinear Control

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Additional Information

How to Cite

Wang, C. and Huang, T. (2012), Static output feedback control for positive linear continuous-time systems. Int. J. Robust Nonlinear Control. doi: 10.1002/rnc.2836

Author Information

  1. 1

    Department of Mathematics and Computer Science, Shanxi Normal University, Linfen, China

  2. 2

    School of Electrical Engineering, Southwest Jiaotong University, Chendu, China

*Cuihong Wang, Department of Mathematics and Computer Science, Shanxi Normal University, Linfen 041004, China.
E-mail: sxwangcuihong@yahoo.com.cn

Publication History

  1. Article first published online: 27 APR 2012
  2. Manuscript Accepted: 29 FEB 2012
  3. Manuscript Revised: 19 OCT 2011
  4. Manuscript Received: 21 JUN 2011

Funded by

  • National Natural Science Foundation of China. Grant Number: 10926143

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Keywords:

  • positive systems;
  • continuous-time systems;
  • static output feedback;
  • linear matrix inequality (LMI)

SUMMARY

This paper studies the problem of designing the static output feedback controller for the positive linear continuous-time systems. On the basis of a system augmentation approach, a novel characterization on the stable condition of the closed-loop system is firstly established. Then, a necessary and sufficient condition is given to ensure the existence of the desired static output feedback controller, and an iterative linear matrix inequality algorithm is presented to compute the feedback gain matrix. Finally, a numerical example is provided to illustrate the effectiveness of the proposed method. Copyright © 2012 John Wiley & Sons, Ltd.

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