<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

Published Online: Sep 29, 2020

Page range: 517 - 528

Received: Mar 19, 2020

Accepted: May 14, 2020

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

Keywords
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

Published Online: Sep 29, 2020

Page range: 517 - 528

Received: Mar 19, 2020

Accepted: May 14, 2020

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

Keywordsdiscrete-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.

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