Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization

Alessandro Vittorio Papadopoulos, Maria Prandini

Research output: Chapter in Book/Report/Conference proceedingPaper in conference proceedingpeer-review

6 Citations (SciVal)

Abstract

This paper proposes an approach to build a reduced order model for a Switched Affine (SA) system. The main idea is to transform the SA system into an equivalent Switched Linear (SL) system with state reset, and then apply balanced truncation to each mode and redefine the reset maps so as to best reproduce the free evolution of the system output. A randomized method is proposed for order selection in the case when the input is stochastic and one is interested in reproducing the output of the original SA system over a finite time-horizon. The performance of the approach is shown on a benchmark example.
Original languageEnglish
Title of host publicationHSCC '14
PublisherAssociation for Computing Machinery (ACM)
Pages113-122
Number of pages10
ISBN (Print)978-1-4503-2732-9
DOIs
Publication statusPublished - 2014
Event17th International Conference on Hybrid Systems: Computation and Control - Berlin, Germany
Duration: 2014 Apr 15 → …

Conference

Conference17th International Conference on Hybrid Systems: Computation and Control
Country/TerritoryGermany
CityBerlin
Period2014/04/15 → …

Subject classification (UKÄ)

  • Control Engineering

Keywords

  • Model reduction
  • Switched systems
  • Randomized algorithms

Fingerprint

Dive into the research topics of 'Model Reduction of Switched Affine Systems: a Method Based on Balanced Truncation and Randomized Optimization'. Together they form a unique fingerprint.

Cite this