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Closed-loop perturbations of well-posed linear systems

Haine, Ghislain Closed-loop perturbations of well-posed linear systems. (2017) In: The 20th World Congress of The International Federation of Automatic Control (IFAC 2017), 9 July 2017 - 14 July 2017 (Toulouse, France).

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Official URL: https://doi.org/10.1016/j.ifacol.2017.08.729


We are concerned with the perturbation of a rather general class of linear time-invariant systems, namely well-posed linear system (WPLS), under additive linear perturbations seen as feedback laws. Let Σ be a WPLS with (A, B, C) as generating triple. For all control operator E, and all observation operator F such that (A, E, F ) is the generating triple of a WPLS, we prove that, if (A, B, F ) and (A, E, C) are also the generating triples of some WPLS, for all admissible feedback operator K for (A, E, F ), we can construct a WPLS Σ K whose generating triple is (A K , B K , C K ), where A K is the infinitisemal generator of the closed-loop of(A, E, F ) by the feedback operator K. Furthermore, we give necessary and sufficient condition such that exact controllability persists from Σ to Σ K . In particular, we show that this is the case for all sufficiently small bounded operator K.

Item Type:Conference or Workshop Item (Paper)
Additional Information:vol. 50, n° 1.
Audience (journal):International peer-reviewed journal
Audience (conference):International conference proceedings
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
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Deposited On:25 Sep 2017 14:36

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