Wakaiki, M.Yamamoto, Y.Özbay, Hitay2016-02-082016-02-0820130167-6911http://hdl.handle.net/11693/20996This paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation-minimization by a unit element. Next, by the modified Nevanlinna-Pick interpolation, we obtain both lower and upper bounds on the multiplicative perturbation under which the plant can be stabilized by a stable controller. In addition, we find stable controllers to provide robust stability. We also present a numerical example to illustrate the results and apply the proposed method to a repetitive control system.EnglishH∞ controlInfinite dimensional systemsRobust stabilizationStrong stabilizationInfinite-dimensional systemLinear time-invariantLower and upper boundsNevanlinna-Pick interpolationRepetitive control systemRobust stabilizationSingle input single outputStrong stabilizationControl system analysisInterpolationPolesRobustness (control systems)StabilizationArticle10.1016/j.sysconle.2013.02.005