Sensitivity reduction by strongly stabilizing controllers for MIMO distributed parameter systems
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2011-12-09
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Abstract
This note investigates a sensitivity reduction problem by stable stabilizing controllers for a linear time-invariant multi-input multioutput distributed parameter system. The plant we consider has finitely many unstable zeros, which are simple and blocking, but can possess infinitely many unstable poles. We obtain a necessary condition and a sufficient condition for the solvability of the problem, using the matrix Nevanlinna-Pick interpolation with boundary conditions. We also develop a necessary and sufficient condition for the solvability of the interpolation problem, and show an algorithm to obtain the solutions. Our method to solve the interpolation problem is based on the Schur-Nevanlinna algorithm.
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IEEE Transactions on Automatic Control
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Institute of Electrical and Electronics Engineers
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Distributed parameter systems, H ∞-control, Strong stabilization, Distributed parameter systems, Interpolation problems, Linear time-invariant, Multi-input, Nevanlinna-pick interpolation, Reduction problem, Stabilizing controllers, Strong stabilization, Sufficient conditions, Algorithms, Intelligent control, Interpolation, Problem solving
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English