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Guaranteed control of switched control systems using model order reduction and state-space bisection

Authors Adrien Le Coënt, Florian de Vuyst, Christian Rey, Ludovic Chamoin, Laurent Fribourg

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Keywords
  • Model Order Reduction
  • guaranteed control
  • stability control
  • reachability control
  • error bounding

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Abstract

This paper considers discrete-time linear systems controlled
by a quantized law, i.e., a piecewise constant time function taking
a finite set of values. We show how to generate the control by,
first, applying model reduction to the original system, then using a "state-space bisection" method for synthesizing a control at the reduced-order level, and finally computing an upper bound to the 
deviations between the controlled output trajectories of the reduced-order model and those of the original model. The effectiveness of our approach is illustrated on several examples of the literature.

Cite As Get BibTex

Adrien Le Coënt, Florian de Vuyst, Christian Rey, Ludovic Chamoin, and Laurent Fribourg. Guaranteed control of switched control systems using model order reduction and state-space bisection. In 2nd International Workshop on Synthesis of Complex Parameters (SynCoP'15). Open Access Series in Informatics (OASIcs), Volume 44, pp. 32-46, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2015) https://doi.org/10.4230/OASIcs.SynCoP.2015.33

Author Details

Adrien Le Coënt
Florian de Vuyst
Christian Rey
Ludovic Chamoin
Laurent Fribourg

References

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