H{sub}2 GUARANTEED COST CONTROL BY DYNAMIC OUTPUT FEEDBACK FOR UNCERTAIN SINGULARLY PERTURBED SYSTEMS

摘要

In this paper, the H{sub}2 guaranteed cost output feedback control for uncertain singularly perturbed systems is addressed. The design procedure shows how the fullorder uncertain system can be stabilized for small value of ε> 0 avoiding highdimensionality and ill-conditioning. It is shown that when necessary and sufficient conditions formulated for the slow and fast subsystems are satisified, a singularly perturbed controller which stabilizes the full-order system is obtained. The solutionof the H{sub}2 guaranteed cost problem is searched in the set of such two time scale controllers.