<abstract xmlns="http://www.w3.org/1999/xhtml"><p>The paper proposes a discrete-time sliding mode controller for single input linear dynamical systems, under requirements of the fast response without overshoot and strong robustness to matched disturbances. The system input saturation is imposed during the design due to inevitable limitations of most actuators. The system disturbances are compensated by employing nonlinear estimation by integrating the signum of the sliding variable. Hence, the proposed control structure may be regarded as a super-twisting-like algorithm. The designed system stability is analyzed as well as the sliding manifold convergence conditions are derived using a discrete-time model of the system in the <italic>δ</italic>-domain. The results obtained theoretically have been verified by computer simulations.</p></abstract>

The paper proposes a discrete-time sliding mode controller for single input linear dynamical systems, under requirements of the fast response without overshoot and strong robustness to matched disturbances. The system input saturation is imposed during the design due to inevitable limitations of most actuators. The system disturbances are compensated by employing nonlinear estimation by integrating the signum of the sliding variable. Hence, the proposed control structure may be regarded as a super-twisting-like algorithm. The designed system stability is analyzed as well as the sliding manifold convergence conditions are derived using a discrete-time model of the system in the δ-domain. The results obtained theoretically have been verified by computer simulations.

Discrete–Time Sliding Mode Control of Linear Systems with Input Saturation

International Journal of Applied Mathematics and Computer Science

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

{"article-title":"Discrete\u2013Time Sliding Mode Control of Linear Systems with Input Saturation"}

The paper proposes a discrete-time sliding mode controller for single input linear dynamical systems, under requirements of the fast response without overshoot...

Discrete–Time Sliding Mode Control of Linear Systems with Input Saturation

Publicado en línea: 29 sept 2020

Páginas: 517 - 528

Recibido: 19 mar 2020

Aceptado: 14 may 2020

DOI: https://doi.org/10.34768/amcs-2020-0038

Palabras clave
discrete-time sliding mode control, super-twisting controller, input saturation, disturbance compensation

© 2020 Boban Veselić et al., published by Sciendo

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

Discrete–Time Sliding Mode Control of Linear Systems with Input Saturation

Publicado en línea: 29 sept 2020

Páginas: 517 - 528

Recibido: 19 mar 2020

Aceptado: 14 may 2020

DOI: https://doi.org/10.34768/amcs-2020-0038

Palabras clavediscrete-time sliding mode control, super-twisting controller, input saturation, disturbance compensation

© 2020 Boban Veselić et al., published by Sciendo

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

Palabras clave
discrete-time sliding mode control, super-twisting controller, input saturation, disturbance compensation