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Article . 2018
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International Journal of Robust and Nonlinear Control
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Article . 2018
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Fixed‐time output stabilization and fixed‐time estimation of a chain of integrators

Fixed-time output stabilization and fixed-time estimation of a chain of integrators
Authors: Lopez-Ramirez, Francisco; Efimov, Denis; Polyakov, Andrey; Perruquetti, Wilfrid;

Fixed‐time output stabilization and fixed‐time estimation of a chain of integrators

Abstract

SummaryA solution to the problem of global fixed‐time output stabilization and estimation of a chain of integrators is proposed. A nonlinear scheme comprising a state feedback controller and a dynamic observer are designed to guarantee both fixed‐time estimation and fixed‐time control. Robustness with respect to exogenous disturbances and measurement noises is established, and a parameter optimization algorithm is provided. The performance of the obtained control and estimation algorithms are illustrated by numeric experiments.

Country
France
Keywords

Estimation and detection in stochastic control theory, Feedback control, chain of integrators, homogeneous systems, implicit Lyapunov functions, [SPI.AUTO] Engineering Sciences [physics]/Automatic, Discrete-time control/observation systems, finite-time stability, Sensitivity (robustness), Nonlinear systems in control theory, Input-output approaches in control theory

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    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
40
Top 10%
Top 10%
Top 10%
Green
bronze