esign with Pole Place

Abstract-This paper addresses the design of state- or output-feedback H, controllers that satisfy additional constraints on the closed-loop pole location. Sufficient conditions for feasibility are derived for a general class of convex regions of the complex plane. These conditions are expressed in terms of linear matrix inequalities (LMI’s), and our formulation is therefore numeri-cally tractable via LMI optimization. In the state-feedback case, mixed H, / H, synthesis with regional pole placement is also discussed. Finally, the validity and applicability of this approach are illustrated by a benchmark example. I