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

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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

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

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