A Study on Strongly Stabilizing Controllers Based on Dual Observers

Abstract

If there exists a stable feedback controller which can stabilize the feedback control system of a plant, this plant is said to be strongly stabilizable and this stable feedback controller is called strongly stabilizing controller. In this paper, a synthesis methodology of the strongly stabilizing controller based on the minimal-order dual observer is studied. The basic idea of our approach for synthesis of the strongly stabilizing controller is to formulate the condition for simultaneous stabilizability of the controller and the feedback control system by using linear matrix inequalities, taking advantage of features of dual observer which can freely assign the closed-loop poles resulting from the output injection. Experimental results confirm the effectiveness of the synthesis methodology.