On reduced-order interval observers for time-delay systems

Denis Efimov 1, 2 Wilfrid Perruquetti 1, 2, 3 Jean-Pierre Richard 1, 2, 3
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
2 SyNeR - Systèmes Non Linéaires et à Retards
CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
3 Ecole Centrale de Lille
Abstract : The estimation problem for uncertain time-delay systems is addressed. A design method of reduced-order interval observers is proposed. The observer estimates the set of admissi-ble values (the interval) for the state at each instant of time. The cases of known fixed delays and uncertain time-varying delays are analyzed. The proposed approach can be applied to linear delay systems and nonlinear time-delay systems in the output canonical form. The framework efficiency is demonstrated on examples of nonlinear systems.
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Denis Efimov, Wilfrid Perruquetti, Jean-Pierre Richard. On reduced-order interval observers for time-delay systems. European Control Conference 2013, Jul 2013, Zurich, Switzerland. ⟨hal-00801809⟩

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