Tangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systems
Author
Wakaiki, M.
Yamamoto, Y.
Özbay, Hitay
Date
2012-12Source Title
Proceedings of the IEEE Conference on Decision and Control
Publisher
IEEE
Pages
1584 - 1590
Language
English
Type
Conference PaperItem Usage Stats
146
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108
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Abstract
We study the problem of finding stable controllers that stabilize a multi-input multi-output distributed parameter system while simultaneously reducing the sensitivity of the system. The plants we consider have finitely many unstable transmission zeros, but they can possess infinitely many unstable poles. Using the tangential Nevanlinna-Pick interpolation with boundary conditions, we obtain both upper and lower bounds of the minimum sensitivity that can be achieved by stable controllers. We also derive a method to find stable controllers for sensitivity reduction. In addition, we apply the proposed method to a repetitive control system. © 2012 IEEE.
Keywords
Distributed parameter systemsMinimum sensitivities
Multi-input multi-output
Nevanlinna-Pick interpolation
Repetitive control system
Stable controllers
Strong stabilization
Transmission zeros
Upper and lower bounds
Control system analysis
Intelligent control
Interpolation
MIMO systems
Controllers
Permalink
http://hdl.handle.net/11693/28103Published Version (Please cite this version)
http://dx.doi.org/10.1109/CDC.2012.6427066Collections
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