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