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Pirkelmann, Simon ; Angeli, David ; Grüne, Lars:
Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques.
In: IFAC-PapersOnLine.
Bd. 52
(2019)
Heft 16
.
- S. 508-513.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2019.12.012
Dies ist die aktuelle Version des Eintrags.
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Offizieller Projekttitel Projekt-ID Model predictive PDE control for energy efficient building operation: economic model predictive control and time-varying systems GR 1569/16-1 |
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Deutsche Forschungsgemeinschaft |
Abstract
In this paper we present a method for automated verification of dissipativity by numerical means for discrete time systems with polynomial dynamics and stage cost. It relies on sum-of-squares techniques in order to compute storage functions that satisfy a dissipation inequality. The method can also be used to treat systems subject to constraints. Moreover, an Taylor approximation based extension to more general nonlinear stage costs is presented which enables the computation of approximate local storage functions.
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Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques. (deposited 16 Feb 2019 22:00)
- Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques. (deposited 08 Jan 2020 12:46) [Aktuelle Anzeige]