Static output feedback control for positive linear continuous-time systems
Article first published online: 27 APR 2012
Copyright © 2012 John Wiley & Sons, Ltd.
International Journal of Robust and Nonlinear Control
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
- Article first published online: 27 APR 2012
- Manuscript Accepted: 29 FEB 2012
- Manuscript Revised: 19 OCT 2011
- Manuscript Received: 21 JUN 2011
- National Natural Science Foundation of China. Grant Number: 10926143
- positive systems;
- continuous-time systems;
- static output feedback;
- linear matrix inequality (LMI)
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.