Stable controllers for robust stabilization of systems with infinitely many unstable poles
Author
Wakaiki, M.
Yamamoto, Y.
Özbay, Hitay
Date
2013Source Title
Systems and Control Letters
Print ISSN
0167-6911
Publisher
Elsevier
Volume
62
Issue
6
Pages
511 - 516
Language
English
Type
ArticleItem Usage Stats
141
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Abstract
This paper studies the problem of robust stabilization by a stable controller for a linear time-invariant single-input single-output infinite dimensional system. We consider a class of plants having finitely many simple unstable zeros but possibly infinitely many unstable poles. First we show that the problem can be reduced to an interpolation-minimization by a unit element. Next, by the modified Nevanlinna-Pick interpolation, we obtain both lower and upper bounds on the multiplicative perturbation under which the plant can be stabilized by a stable controller. In addition, we find stable controllers to provide robust stability. We also present a numerical example to illustrate the results and apply the proposed method to a repetitive control system.
Keywords
H∞ controlInfinite dimensional systems
Robust stabilization
Strong stabilization
Infinite-dimensional system
Linear time-invariant
Lower and upper bounds
Nevanlinna-Pick interpolation
Repetitive control system
Robust stabilization
Single input single output
Strong stabilization
Control system analysis
Interpolation
Poles
Robustness (control systems)
Stabilization
Permalink
http://hdl.handle.net/11693/20996Published Version (Please cite this version)
http://dx.doi.org/10.1016/j.sysconle.2013.02.005Collections
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