Sensitivity reduction by stable controllers for mIMO infinite dimensional systems via the tangential nevanlinna-Pick interpolation
IEEE Transactions on Automatic Control
1099 - 1105
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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.
Keywordsinfinite dimensional systems
Control system analysis
Repetitive control system
Upper and lower bounds
Published Version (Please cite this version)http://dx.doi.org/10.1109/TAC.2013.2285788
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