LMI Formulation for Static Output Feedback Control of Linear Continuous System
In this paper, the static output feedback control of a class of continuous systems is considered. Thanks to the Reciprocal Projection Lemma, it is shown that the solution of the continuous system with static output feedback problem is conditioned by a set of linear matrix inequalities (LMIs), which are numerically tractable and free from any equality constraint. Furthermore, a convex optimization problem with LMI constraint is formulated to design the optimal guaranteed cost controller which minimizes the guaranteed cost of the closed-loop systems. Numerical examples are given to illustrate the effectiveness of the proposed methods.
Wenya Tian and Linli Xu
X. G. Wang et al., "LMI Formulation for Static Output Feedback Control of Linear Continuous System", Advanced Materials Research, Vol. 186, pp. 312-316, 2011