Modal occupation measures and LMI relaxations for nonlinear switched systems control

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F16%3A00234599" target="_blank" >RIV/68407700:21230/16:00234599 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.automatica.2015.11.003" target="_blank" >http://dx.doi.org/10.1016/j.automatica.2015.11.003</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.automatica.2015.11.003" target="_blank" >10.1016/j.automatica.2015.11.003</a>

Result language
angličtina
Original language name
Modal occupation measures and LMI relaxations for nonlinear switched systems control
Original language description
This paper presents a linear programming approach for the optimal control of nonlinear switched systems where the control is the switching sequence. This is done by introducing modal occupation measures, which allow to relax the problem as a primal linear programming (LP) problem. Its dual linear program of Hamilton–Jacobi–Bellman inequalities is also characterized. The LPs are then solved numerically with a converging hierarchy of primal–dual moment-sum-of-squares (SOS) linear matrix inequalities (LMI). Because of the special structure of switched systems, we obtain a much more efficient method than could be achieved by applying standard moment/SOS LMI hierarchies for general optimal control problems.
Czech name
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Czech description
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Type
J<sub>x</sub> - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)
CEP classification
BC - Theory and management systems
OECD FORD branch
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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)

Publication year
2016
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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