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Digital Library of the
European Council for Modelling and Simulation |
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Title: |
A Simple DDS Algorithm For TDS: An Example |
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Authors: |
Libor Pekar |
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Published in:
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(2015).ECMS 2015 Proceedings edited
by: Valeri M. Mladenov, Grisha Spasov, Petia Georgieva, Galidiya Petrova, European
Council for Modeling and Simulation. doi:10.7148/2015 ISBN:
978-0-9932440-0-1 29th
European Conference on Modelling and Simulation, Albena (Varna), Bulgaria,
May 26th – 29th,
2015 |
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Citation
format: |
Libor
Pekar (2015). A Simple
DDS Algorithm For TDS: An Example, ECMS 2015 Proceedings edited by: Valeri M. Mladenov, Petia Georgieva, Grisha Spasov, Galidiya Petrova European Council for Modeling and Simulation. doi:10.7148/2015-0246 |
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DOI: |
http://dx.doi.org/10.7148/2015-0246 |
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Abstract: |
This paper is aimed at the presentation
and simulation verification of a novel simple and fast delay dependent stability (DDS) testing algorithm for linear timeinvariant time delay systems (LTI TDS). The algorithm
can be used for systems with multiple delays and/or those with many controller
parameters. Value ranges of delays and tunable parameters decide about the (exponential)
stability of LTI TDS and the goal is to determine such ranges that might not
be convex. Our numerical gridding iterative DDS algorithm is based on the
finite dimensional approximation of the characteristic quasipolynomial
by means of the Taylor series expansion or a Padé-like
approach followed by the Regula-Falsi result
enhancement. Stability regions are sought through the determination of
crossing delays (or parameters) which cause the
system stability switching. Numerical simulation experiments performed in
MATLAB® environment prove a sufficient accuracy and the practical usability
of the proposed DDS algorithm. |
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