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On the pole location of a system designed by robust stability-degree assignment. (English) Zbl 0974.93025

Summary: We examine the pole location of the feedback system composed of the nominal plant and the \(H_{\infty}\) central controller designed by the robust stability-degree assignment. Namely, the exact pole location at \(\gamma =\infty\) and the behavior near the infimum of \(\gamma\) are clarified where \(\gamma\) is the upper bound of the \(H_{\infty}\) norm constraint. The original design goal is to stabilize the plant against additive perturbations with the regional pole placement condition \(Re s<-\alpha\), and the design problem is reduced to the one-block \(H_{\infty}\) control problem.

MSC:

93B55 Pole and zero placement problems
93B36 \(H^\infty\)-control
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References:

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