The Study on the Convex and LMI Conditions for Static Output Feedback Stabilization

Authors

Pang-Chia Chen, Assistant Professor, Department of Aircraft Engineering, Air Force Institute of Technology, Kangshan County, Taiwan 820, R.O.C.
Koan-Yuh Chang, Assistant Professor, Department of Electronic Engineering, Chien Kuo Institute of Technology, Changhua City, Taiwan 500, R.O.C.
Yaug-Fea Jeng, Assistant Professor, Department of Aircraft Engineering, Air Force Institute of Technology, , Kangshan County, Taiwan 820, R.O.C.
Wen-Jer Chang, Professor, Department of Marine Engineering, National Taiwan Ocean University, Keelung, Taiwan 202, R.O.C.Follow

Abstract

In this paper, the problem of static output feedback stabilization is considered. By congruence and state-coordinate transformations, a convex condition for static output feedback stabilization is given in terms of a matrix linear inequality while subject to an equality constraint. To facilitate stabilization design via LMI conditions, the equality constraint is satisfied by imposing a structure constraint on matrix variable. Moreover, a numerical construction algorithm and a sufficient condition for the presented convex condition are given as well. Finally, numerical examples demonstrated the utility of the proposed approach for static output feedback stabilization.

Recommended Citation

Chen, Pang-Chia; Chang, Koan-Yuh; Jeng, Yaug-Fea; and Chang, Wen-Jer (2004) "The Study on the Convex and LMI Conditions for Static Output Feedback Stabilization," Journal of Marine Science and Technology: Vol. 12: Iss. 3, Article 5.
DOI: 10.51400/2709-6998.2235
Available at: https://jmstt.ntou.edu.tw/journal/vol12/iss3/5