Sensitivity reduction by strongly stabilizing controllers for MIMO distributed parameter systems
Author
Wakaiki, M.
Yamamoto, Y.
Özbay, Hitay
Date
2011-12-09Source Title
IEEE Transactions on Automatic Control
Print ISSN
0018-9286
Publisher
Institute of Electrical and Electronics Engineers
Volume
57
Issue
8
Pages
2089 - 2094
Language
English
Type
ArticleItem Usage Stats
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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.
Keywords
Distributed parameter systemsH ∞-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