Abstract

In this paper, the sensitivity minimization problem of multivariable linear time-invariant, bi-proper or strictly proper, systems using a stable controller is considered. The problem is reduced to a 1-block or 2-block H∞ - optimization problem in the case of square or nonsquare systems, respectively. The solution of this optimization problem, if satisfying an upper bound constraint which depends on an initial choice of a unimodular transfer function in RH∞ would be the Youla parameter and hence a stable stabilizing controller to the original system. A search procedure for an initial choice of an unimodular function is discussed.

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