Sensitivity reduction by stable controllers for mIMO infinite dimensional systems via the tangential nevanlinna-Pick interpolation
Date
2014
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Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
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Publisher
IEEE
Volume
59
Issue
4
Pages
1099 - 1105
Language
English
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Abstract
We study the problem of finding a stable stabilizing controller that satisfies a desired sensitivity level for an MIMO infinite dimensional system. The systems we consider have finitely many simple transmission zeros in C +, but they are allowed to possess infinitely many poles in C +. We compute both upper and lower bounds of the minimum sensitivity achievable by a stable controller via the tangential Nevanlinna-Pick interpolation. We also obtain stable controllers attaining such an upper bound. To illustrate the results, we discuss a repetitive control system as an application of the proposed method.
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Keywords
infinite dimensional systems , strong stabilization , tangential interpolation , Control system analysis , Interpolation , Infinite-dimensional system , Minimum sensitivities , Nevanlinna-Pick interpolation , Repetitive control system , Stabilizing controllers , Strong stabilization , Tangential interpolation , Upper and lower bounds , Controllers