Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F21%3A00347917" target="_blank" >RIV/68407700:21230/21:00347917 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1016/j.ejcon.2020.08.002" target="_blank" >https://doi.org/10.1016/j.ejcon.2020.08.002</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.ejcon.2020.08.002" target="_blank" >10.1016/j.ejcon.2020.08.002</a>

Result language
angličtina
Original language name
Parabolic set simulation for reachability analysis of linear time-invariant systems with integral quadratic constraint
Original language description
This paper describes the computation of reachable sets and tubes for linear time-invariant systems with an unknown input bounded by integral quadratic constraints, modeling e.g. delay, rate limiter, or energy bounds. We define a family of paraboloidal overapproximations. These paraboloids are supported by the reachable tube on touching trajectories. Parameters of each paraboloid are expressed as a solution to an initial value problem. Compared to previous methods based on the classical linear quadratic regulator, our approach can be applied to unstable systems as well. We tested our approach on large scale systems.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20205 - Automation and control systems

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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