Regular Papers

International Journal of Control, Automation and Systems 2018; 16(5): 2063-2073

Published online July 25, 2018

https://doi.org/10.1007/s12555-017-0425-3

© The International Journal of Control, Automation, and Systems

High Performance Super-twisting Control for State Delay Systems

Deepti Khimani* and Machhindranath Patil

V.E.S. Institute of Technology

Abstract

This paper addresses the design of conventional sliding mode and super-twisting controls for the uncertain system with state delay to achieve the improved transient response. To ensure the stable sliding motion two approaches are proposed. In the first approach, LMI conditions using Lyapunov-Krasovskii functional are derived to guarantee the stability of the sliding motion. In the second approach, we propose the sliding mode control based on a nonlinear switching functional, with which the sliding motion is governed by delay-free dynamics. Effectiveness of the proposed design approaches are shown through numerical simulation of reheat power system."

Keywords Delay systems, Lyapunov-Krasovskii method, nonlinear sliding surface, sliding mode control, supertwisting control.

Article

Regular Papers

International Journal of Control, Automation and Systems 2018; 16(5): 2063-2073

Published online October 1, 2018 https://doi.org/10.1007/s12555-017-0425-3

Copyright © The International Journal of Control, Automation, and Systems.

High Performance Super-twisting Control for State Delay Systems

Deepti Khimani* and Machhindranath Patil

V.E.S. Institute of Technology

Abstract

This paper addresses the design of conventional sliding mode and super-twisting controls for the uncertain system with state delay to achieve the improved transient response. To ensure the stable sliding motion two approaches are proposed. In the first approach, LMI conditions using Lyapunov-Krasovskii functional are derived to guarantee the stability of the sliding motion. In the second approach, we propose the sliding mode control based on a nonlinear switching functional, with which the sliding motion is governed by delay-free dynamics. Effectiveness of the proposed design approaches are shown through numerical simulation of reheat power system."

Keywords: Delay systems, Lyapunov-Krasovskii method, nonlinear sliding surface, sliding mode control, supertwisting control.

IJCAS
March 2025

Vol. 23, No. 3, pp. 683~972

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