Optimal switching control design for polynomial systems: An LMI approach
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F13%3A00226016" target="_blank" >RIV/68407700:21230/13:00226016 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/CDC.2013.6760070" target="_blank" >http://dx.doi.org/10.1109/CDC.2013.6760070</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/CDC.2013.6760070" target="_blank" >10.1109/CDC.2013.6760070</a>
Alternative languages
Result language
angličtina
Original language name
Optimal switching control design for polynomial systems: An LMI approach
Original language description
We propose a new LMI approach to the design of optimal switching sequences for polynomial dynamical systems with state constraints. We formulate the switching design problem as an optimal control problem which is then relaxed to a linear programming (LP)problem in the space of occupation measures. This infinite-dimensional LP can be solved numerically and approximately with a hierarchy of convex finite-dimensional LMIs. In contrast with most of the existing work on LMI methods, we have a guarantee of global optimality, in the sense that we obtain an asympotically converging (i.e. with vanishing conservatism) hierarchy of lower bounds on the achievable performance. We also explain how to construct an almost optimal switching sequence.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
<a href="/en/project/GA13-06894S" target="_blank" >GA13-06894S: Semidefinite programming for polynomial optimal control problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings of the 52nd IEEE Conference on Decision and Control
ISBN
978-1-4673-5717-3
ISSN
0191-2216
e-ISSN
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Number of pages
6
Pages from-to
1349-1354
Publisher name
IEEE
Place of publication
Piscataway
Event location
Florence
Event date
Dec 10, 2013
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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