Dynamic gain observer design for Lipschitz nonlinear systems subjected to noise

The problem of designing an observer for nonlinear Lipschitz systems affected by system and sensor noises is addressed. Related to the system nonlinearity, the stability of observer dynamic with static and dynamic gain is considered. The advantage of using dynamic gain to deal with large Lipschitz n...

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Bibliographic Details
Published in:International journal of systems science 2013-11, Vol.44 (11), p.2094-2103
Main Authors: Ekramian, Mohsen, Sheikholeslam, Farid, Hosseinnia, Saeed
Format: Article
Language:English
Subjects:
Applied sciences
Attenuation
Computer science
control theory
systems
Control theory. Systems
Dynamical systems
Exact sciences and technology
Gain
Lipschitz nonlinearity
Mathematical analysis
mixed H
Modelling and identification
Noise
Nonlinear dynamics
nonlinear observer
Nonlinearity
Observers
problem
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Summary:The problem of designing an observer for nonlinear Lipschitz systems affected by system and sensor noises is addressed. Related to the system nonlinearity, the stability of observer dynamic with static and dynamic gain is considered. The advantage of using dynamic gain to deal with large Lipschitz nonlinearity is discussed and it is proved that no dynamic gain can stabilise the observer for a larger Lipschitz constant as compared with the static gain. However, a nonlinear observer with dynamic gain has some additional degrees of freedom which can be utilised to attenuate noise effect on the observer behaviour. Using mixed and criteria, this article introduces a method to obtain a dynamic gain which can deal with system nonlinearity and noise simultaneously. The effectiveness of the proposed method is finally demonstrated by some simulation results.
ISSN:0020-7721
1464-5319
DOI:10.1080/00207721.2012.684901