Stabilization and tracking control for an extended Heisenberg system with a drift

Serguey Drakunov 1 Thierry Floquet 2, 3 Wilfrid Perruquetti 2, 3, 4
2 NON-A - Non-Asymptotic estimation for online systems
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : In this paper, we present sliding mode control algorithms, that are designed to practically stabilize (which means that the system state is stabilized to an ɛɛ neighborhood of the origin) the perturbed multidimensional Heisenberg system (therefore, with a drift) with additional two multidimensional integrators in the control inputs path. This result is then used to solve a tracking problem for the class of system which unperturbed model fails Brockett's necessary condition for the existence of a continuous, time independent feedback law.
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Journal articles
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https://hal.inria.fr/hal-00762279
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Submitted on : Thursday, December 6, 2012 - 5:47:18 PM
Last modification on : Friday, March 22, 2019 - 1:35:18 AM

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Serguey Drakunov, Thierry Floquet, Wilfrid Perruquetti. Stabilization and tracking control for an extended Heisenberg system with a drift. Systems and Control Letters, Elsevier, 2005, 54 (5), pp.435-445. ⟨10.1016/j.sysconle.2004.09.014⟩. ⟨hal-00762279⟩

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