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Article Dans Une Revue Automatica Année : 2024

On hyperexponential stabilization of a chain of integrators in continuous and discrete time

Jian Wang
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Konstantin Zimenko
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Résumé

A time-varying state feedback is presented that guarantees stability and a hyperexponential rate of convergence of all trajectories to the origin for a chain of integrators. It is shown that this convergence property is uniform with respect to matched bounded external disturbances. An implicit time-discretization scheme of the closed-loop system is given, which preserves all main properties of the continuous-time counterpart, and in addition has bounded errors with respect to the measurement noises. Based on this discretization, for sampled-and-hold implementation, a modified linear time-varying state feedback is proposed, which provides an accelerated rate of convergence to the continuous-time plant. The efficiency of the suggested control algorithms is illustrated through numeric experiments.

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Automatique
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Dates et versions

hal-04522321 , version 1 (26-03-2024)

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Paternité

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  • HAL Id : hal-04522321 , version 1

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Jian Wang, Konstantin Zimenko, Denis Efimov, Andrey Polyakov. On hyperexponential stabilization of a chain of integrators in continuous and discrete time. Automatica, inPress. ⟨hal-04522321⟩
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