Mohammad Bozorg - Dept. of Mechanical Engineering, University of Yazd, Yazd, Iran

In this paper, control of linear systems containing uncertain parameters is considered and a method is presented for the computation of allowable parameter perturbations to maintain stability and performance conditions. The desired performance is attained by imposing frequency bounds on the sensitivity or the complementary sensitivity functions of the system to guarantee appropriate input tracking or noise attenuation. The algorithm makes use of Neimark’s Dpartition results on robust stability and extends those results to the case of robust performance. Explicit formulae are provided for performance measures that need to be minimized in a frequency range to compute the robust performance margin. The method is illustrated through a case study.

parameter uncertainty، robust control، robust performance، linear systems