<abstract xmlns="http://www.w3.org/1999/xhtml"><p>A new method to construct a discrete-time variable-structure repetitive controller for a class of linear systems perturbed by multiple-period exogenous signals is presented. The proposed control scheme combines the features of the discrete-time multiple-period repetitive control (MP-RC) and variable-structure control (VSC) techniques. The MP-RC part is assigned to simultaneously track and reject periodic signals consisting of multiple uncorrelated fundamental frequencies. The VSC part is then integrated to provide a fast transient response and robustness against plant parameter variations. Stability and robustness analyses are also elaborated to ensure that the resulting closed-loop system satisfies the desired control objectives. Moreover, it is shown through an example that the repetitive control system constructed using the proposed control method can effectively track a sinusoidal reference signal despite the presence of a multiple-period disturbance.</p></abstract>

A new method to construct a discrete-time variable-structure repetitive controller for a class of linear systems perturbed by multiple-period exogenous signals is presented. The proposed control scheme combines the features of the discrete-time multiple-period repetitive control (MP-RC) and variable-structure control (VSC) techniques. The MP-RC part is assigned to simultaneously track and reject periodic signals consisting of multiple uncorrelated fundamental frequencies. The VSC part is then integrated to provide a fast transient response and robustness against plant parameter variations. Stability and robustness analyses are also elaborated to ensure that the resulting closed-loop system satisfies the desired control objectives. Moreover, it is shown through an example that the repetitive control system constructed using the proposed control method can effectively track a sinusoidal reference signal despite the presence of a multiple-period disturbance.

Variable–structure repetitive control for discrete–time linear systems with multiple–period exogenous signals

Department of Aerospace and Software Engineering

International Journal of Applied Mathematics and Computer Science

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

A new method to construct a discrete-time variable-structure repetitive controller for a class of linear systems perturbed by multiple-period exogenous signals...

Variable–structure repetitive control for discrete–time linear systems with multiple–period exogenous signals

Publié en ligne: 04 juil. 2020

Pages: 207 - 218

Reçu: 22 août 2019

Accepté: 02 mars 2020

DOI: https://doi.org/10.34768/amcs-2020-0016

Mots clés
repetitive control, variable-structure control, multiple-period signals, fast transient response, robustness

© 2020 Edi Kurniawan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Variable–structure repetitive control for discrete–time linear systems with multiple–period exogenous signals

Publié en ligne: 04 juil. 2020

Pages: 207 - 218

Reçu: 22 août 2019

Accepté: 02 mars 2020

DOI: https://doi.org/10.34768/amcs-2020-0016

Mots clésrepetitive control, variable-structure control, multiple-period signals, fast transient response, robustness

© 2020 Edi Kurniawan et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Mots clés
repetitive control, variable-structure control, multiple-period signals, fast transient response, robustness