On observation of time-delay systems with unknown inputs

Gang Zheng 1 Jean-Pierre Barbot 1, 2 Driss Boutat 3 Thierry Floquet 1, 4, 5 Jean-Pierre Richard 1, 4, 5
1 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
4 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : Causal and non-causal observability are discussed in this paper for nonlinear time-delay systems with unknown inputs. Using the theory of non-commutative rings and the algebraic framework introduced by Xia et al, the nonlinear time-delay system is transformed into a suitable canonical form to solve the problem. A necessary and sufficient condition is given to guarantee the existence of a change of coordinates leading to such a form.
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Gang Zheng, Jean-Pierre Barbot, Driss Boutat, Thierry Floquet, Jean-Pierre Richard. On observation of time-delay systems with unknown inputs. IEEE Transactions on Automatic Control, Institute of Electrical and Electronics Engineers, 2011, 56 (8), pp.1973-1978. ⟨inria-00589916⟩

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