μ/k/sub m/-design with time-domain constraints

Abstract

Standard /spl mu//k/sub m/-synthesis approaches cannot handle specifications on closed-loop time responses in a direct manner. On the other hand, constrained H/sub /spl infin// optimization handles explicitly time-domain specifications in an H/sub /spl infin//-optimal control setting but is conservative with respect to structured model uncertainty. In this paper, the authors propose a constrained /spl mu//k/sub m/-synthesis approach to design robust controllers for uncertain systems with time-domain constraints and structured real/complex model uncertainties. They derive an algorithm based on an iteration process involving a search for multipliers and the solution of scaled constrained H/sub /spl infin//-optimization problems.