ERef Bayreuth

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Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques

Title data

Pirkelmann, Simon ; Angeli, David ; Grüne, Lars:
Approximate computation of storage functions for discrete-time systems using sum-of-squares techniques.
In: IFAC-PapersOnLine. Vol. 52 (2019) Issue 16 . - pp. 508-513.
ISSN 2405-8963
DOI: https://doi.org/10.1016/j.ifacol.2019.12.012

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Project information

Project title:	Project's official title Project's id Model predictive PDE control for energy efficient building operation: economic model predictive control and time-varying systems GR 1569/16-1
Project financing:	Deutsche Forschungsgemeinschaft

Abstract in another language

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.

Further data

Item Type:	Article in a journal
Refereed:	Yes
Additional notes:	Major parts of this work were conducted during a visit of the first author at Imperial College in London, UK.
Keywords:	Dissipativity; Storage Functions; Sum-of-Squares; Polynomial Systems; Taylor Approximation
Institutions of the University:	Faculties Faculties > Faculty of Mathematics, Physics und Computer Science Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Mathematics V (Applied Mathematics) > Chair Mathematics V (Applied Mathematics) - Univ.-Prof. Dr. Lars Grüne Faculties > Faculty of Mathematics, Physics und Computer Science > Department of Mathematics > Chair Applied Mathematics Profile Fields Profile Fields > Advanced Fields Profile Fields > Advanced Fields > Nonlinear Dynamics
Result of work at the UBT:	Yes
DDC Subjects:	500 Science > 510 Mathematics
Date Deposited:	08 Jan 2020 12:46
Last Modified:	08 Jan 2020 12:46
URI:	https://eref.uni-bayreuth.de/id/eprint/53683

Available Versions of this Item

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) [Currently Displayed]