Tangential Nevanlinna-Pick interpolation for strong stabilization of MIMO distributed parameter systems

Date
2012-12
Advisor
Instructor
Source Title
Proceedings of the IEEE Conference on Decision and Control
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Electronic ISSN
Publisher
IEEE
Volume
Issue
Pages
1584 - 1590
Language
English
Type
Conference Paper
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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.

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Keywords
Distributed parameter systems, Minimum 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
Citation
Published Version (Please cite this version)