Observer-based stabilization via LMIs for linear uncertain systems

In this note, we present a new observer-based controller design method for linear systems with uncertain parameters. After a state of the art review, a novel LMI design procedure is proposed to solve the problem. This new algorithm works in two steps and provides less conservative LMI conditions than those available in the literature. Analytic comparisons related to some old methods are addressed. A simulation example is presented in order to illustrate the superiority of the proposed new algorithm.