An Algorithm to Solve algebraic Riccati Equations with Polynomials

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F12%3A00380380" target="_blank" >RIV/67985556:_____/12:00380380 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
An Algorithm to Solve algebraic Riccati Equations with Polynomials
Original language description
The paper deals with solving algebraic Riccati equations with two-sided polynomials, which arise in some applications of optimal control of linear time-invariant spatially distributed systems. The conditions are given for the existence of a solution in the set of finite-order polynomials. If such a solution does not exist, the infinite-order solution is truncated and given in the form of polynomial of an arbitrary high order. The proposed numerical algorithm is based on the discrete Fourier transform theory. An example on optimal control of spatially-distributed systems is also given. The proposed algorithm is used to design of the distributed LQ controller.
Czech name
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Czech description
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Project
<a href="/en/project/GPP103%2F12%2FP494" target="_blank" >GPP103/12/P494: Modelling and control of spatially distributed systems via polynomial approach</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 17th International Conference on Methods and Models in Automation and Robotics
ISBN
978-1-4673-2123-5
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
409-414
Publisher name
West Pomeranian University of Technology
Place of publication
Szczecin
Event location
Międzyzdroje
Event date
Aug 27, 2012
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
000312660400074

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