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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
Algebraic Approach Using Structured Singular Value: Application
To A Nonlinear Plant |
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Authors: |
Marek Dlapa |
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Published in:
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(2011).ECMS
2011 Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho. European Council for Modeling and Simulation. doi:10.7148/2011 ISBN:
978-0-9564944-2-9 25th
European Conference on Modelling and Simulation, Jubilee Conference Krakow,
June 7-10, 2011
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Citation
format: |
Dlapa, M. (2011). Algebraic Approach
Using Structured Singular Value: Application To A Nonlinear Plant. ECMS 2011
Proceedings edited by: T. Burczynski, J. Kolodziej, A. Byrski, M. Carvalho (pp. 487-493).
European Council for Modeling and Simulation. doi:10.7148/2011-0487-0493 |
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DOI: |
http://dx.doi.org/10.7148/2011-0487-0493 |
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Abstract: |
The contribution describes an
application of the algebraic μ-synthesis methodology to the control of a real plant with a
nonlinear characteristic. The controller design is considered as a problem of
minimization of the peak of the structured singular value denoted μ. The algebraic approach
consists of the pole placement principle based on the polynomial Diophantine
equations and Differential Migration procedure used for optimization. The
results are compared with other controllers designed via the D-K iteration,
synthesis in the ring of proper and stable functions and the Naslin method. |
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