ABSTRACT
Most control system design problems involve making tradeoffs among competing objectives. In this paper we consider a number of multiobjective controller synthesis problems. The focus is on linear plants and controllers. We consider design specifications that may be quantified by norms on closed loop transfer matrices. The aim of this paper is to survey some of our recent work in this area. In this work we have shown that for several multiple objective synthesis problems of practical significance, global solutions may be characterized in state-space. Further, the computation of our (global) solutions to these problems require no more than solving algebraic Riccati equations and/or finite-dimensional convex optimization problems.
