Robust Controller Synthesis for Uncertain Time-Varying Systems

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Carol Pirie, Geir E. Dullerud

SIAM Journal of Control and Optimization, 40:4, 2001 Download (full-text)

Abstract

In this paper we develop and present new convex synthesis conditions for robust performance in linear time-varying systems, subject to time-varying perturbations. In particular, these results are exact for sensitivity minimization in the presence of multiplicative perturbations. The methods apply to a number of additional robust performance problems and are always both necessary and sufficient when the system plant is periodic. Otherwise, the conditions provided are always sufficient, and a controller can be directly constructed when this condition holds.

Key words. uncertain system, time-varying system, discrete-time system, controller synthesis, convex methods, linear matrix inequality