COMPENSATOR BLENDING: A NEW TOOL FOR MULTI-OBJECTIVE DESIGN

In this paper we show that (under some input matrix rank conditions) there exists a single compensator which achieves simultaneously the performances of r ⩽ n (the system order) given static state feedback (local) compensators. The compensator, whose order is r(n – 1), is then capable of matching the r (possibly different) optimality criteria defined for each input-output pair. An explicit and easy construction procedure (we refer to such procedure as “compensator blending„) is provided. We also consider the dual version of the problem, precisely, we show how to achieve simultaneous optimality by blending a set of given filters.