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Finite-time and fixed-time observer design: Implicit Lyapunov function approach

delete2018-01-01
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OA
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F
Francisco Lopez‐Ramirez *
A
Andrey Polyakov
D
Denis Efimov
W
Wilfrid Perruquetti
DOI:10.1016/j.automatica.2017.09.007delete
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Abstract

Abstract

En 中文
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. (C) 2017 Elsevier Ltd. All rights reserved.
Keywords:
Finite-Time stability
Fixed-Time stability
Implicit Lyapunov function
Homogeneous systems
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Journal

Automatica cover
Automatica
IF:
5.9
Papers:
1.2W
Citations:
5.2W

Organization

U
universite de lille
Scholars:
2.7W
Papers: 2.0W
Citations: 15