Multiobjective optimization applied to robust /spl Hscr//sub 2///spl Hscr//sub /spl infin// state-feedback control synthesis

This paper presents an algorithm for robust/spl Hscr//sub 2///spl Hscr//sub /spl infin// state-feedback control synthesis, with regional pole placement, based on a multiobjective optimization algorithm with non-smooth problem-solving capability. The problem is formulated with the state-feedback matrix coefficients as optimization parameters. The closed-loop performance obtained by means of the proposed strategy is assessed for the whole uncertainty-set through an LMI-based /spl Hscr//sub 2/ and /spl Hscr//sub /spl infin// guaranteed cost computation. The proposed strategy is compared with three former LMI approaches, for systems with polytope-bounded uncertainties, and presents better results.