Finite-Time and Fixed-Time Observer Design: Implicit Lyapunov Function Approach

Francisco Lopez-Ramirez 1 Andrey Polyakov 1 Denis Efimov 1 Wilfrid Perruquetti 1
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
Abstract : This work deals with the problem of finite-time and fixed-time observation of linear multiple input multiple output (MIMO) control systems. The proposed nonlinear dynamic observers guarantee convergence of the observer states to the original system state in a finite and in a fixed (defined a priori) time. Algorithms for the observers parameters tuning are also provided and a robustness analysis against input disturbances and measurement noises is carried out. The theoretical results are illustrated by numerical examples that consider both noisy and noise-free measurements and a comparison with a high-gain observer is included.
Type de document :
Article dans une revue
Automatica, Elsevier, 2018, 87, pp.52 - 60. 〈10.1016/j.automatica.2017.09.007〉
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Soumis le : mardi 24 octobre 2017 - 12:55:09
Dernière modification le : jeudi 11 janvier 2018 - 06:27:32
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Francisco Lopez-Ramirez, Andrey Polyakov, Denis Efimov, Wilfrid Perruquetti. Finite-Time and Fixed-Time Observer Design: Implicit Lyapunov Function Approach. Automatica, Elsevier, 2018, 87, pp.52 - 60. 〈10.1016/j.automatica.2017.09.007〉. 〈hal-01622356〉



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