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Global Stabilization of Discrete-Time Integrators System By Bounded Controls

Abstract : This paper is concerned with global stabilization of discretetime multiple integrators with bounded controls by utilizing the energy function based approach. First, a discrete-time double integrators system subject to input additive disturbances is stabilized by a bounded feedback whose formula involves a linear function of the state and a saturation function only. Next, this result is used to stabilize a discrete-time multiple integrators of arbitrary length by bounded control with the aid of a special canonical form. Compared with the existing results, the proposed controllers require fewer saturation functions, which allow a better use of the control energy. Moreover, some free parameters that are introduced into these controllers can help improve the transient performance of the closed-loop systems significantly. Finally, a numerical example is given to illustrate the effectiveness of the proposed method.
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https://hal.inria.fr/hal-03114223
Contributor : Frederic Mazenc Connect in order to contact the contributor
Submitted on : Monday, January 18, 2021 - 6:15:07 PM
Last modification on : Thursday, January 20, 2022 - 5:27:21 PM
Long-term archiving on: : Monday, April 19, 2021 - 7:50:43 PM

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  • HAL Id : hal-03114223, version 1

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Xuefei Yang, Bin Zhou, Frederic Mazenc. Global Stabilization of Discrete-Time Integrators System By Bounded Controls. IEEE Transactions on Circuits and Systems I: Regular Papers, IEEE, 2020. ⟨hal-03114223⟩

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