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Conference Papers Year : 2023

On hyperexponential stabilization of double integrator in continuous and discrete time

Konstantin Zimenko
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  • PersonId : 1086276
Jian Wang
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Abstract

A time-varying state feedback is presented that guarantees stability with hyperexponential rate of convergence of all trajectories to the origin for a double integrator system. 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 providing an accelerated rate of convergence to the continuous-time plant. The efficiency of the suggested control is illustrated through numeric experiments.
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hal-04176126 , version 1 (02-08-2023)

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  • HAL Id : hal-04176126 , version 1

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Denis Efimov, Andrey Polyakov, Konstantin Zimenko, Jian Wang. On hyperexponential stabilization of double integrator in continuous and discrete time. IFAC 2023 - 22nd IFAC World Congress, Jul 2023, Yokohama, Japan. ⟨hal-04176126⟩
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