Robust stability of moving horizon estimation for non-linear systems with bounded disturbances using adaptive arrival cost

The robust stability and convergence to the true state of a moving horizon estimator based on an adaptive arrival cost are established for non-linear detectable systems in this study. Robust global asymptotic stability is shown for the case of non-vanishing bounded disturbances, whereas the converge...

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Bibliographic Details
Published in:IET control theory & applications 2020-12, Vol.14 (18), p.2879-2888
Main Authors: Deniz, Nestor, Murillo, Marina, Sanchez, Guido, Giovanini, Leonardo
Format: Article
Language:English
Subjects:
adaptive arrival cost
asymptotic stability
bounded disturbances
closed loop systems
discrete time systems
estimation methods
estimator behaviour
horizon estimation
moving horizon estimator
nonlinear control systems
nonlinear detectable systems
Research Article
robust control
robust global asymptotic stability
robust stability
transfer functions
vanishing disturbances
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Summary:The robust stability and convergence to the true state of a moving horizon estimator based on an adaptive arrival cost are established for non-linear detectable systems in this study. Robust global asymptotic stability is shown for the case of non-vanishing bounded disturbances, whereas the convergence to the true state is proved for the case of vanishing disturbances. Two simulations were made to show the estimator behaviour under different operational conditions and to compare it with the state of the art of estimation methods.
ISSN:1751-8644
1751-8652
DOI:10.1049/iet-cta.2019.0523