Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(3): 883-891

https://doi.org/10.1007/s12555-022-0603-9

© The International Journal of Control, Automation, and Systems

Super Twisting Observer-based Arbitrary Convergence Time Sliding Mode Control for Uncertain System

Xuelei Qi, Chen Li, Yuanwei Jing, and Hongjun Ma*

South China University of Technology

Abstract

The problem of integral sliding mode control with arbitrary convergence time for nonlinear uncertain systems with matched disturbances is studied. In this paper, the prescribed performance arbitrary convergence time integral sliding mode controller based on the super twisting disturbance observer is designed to overcome the overshoot problem of the system state response curve at the prescribed time. Compared with the existing similar results, this paper introduces the super twisting disturbance observer into the integral sliding mode controller, which can effectively compensate the matching disturbance while avoiding the high-frequency chattering problem and ensure the free-will arbitrary time stable (FATS) of the closed-loop system. In addition, this paper uses the prescribed performance control (PPC) technology to obtain better transient performance. Finally, the effectiveness of the proposed control method is verified through MATLAB simulations.

Keywords Arbitrary convergence time, prescribed performance control, sliding mode control, super-twisting observer.

Article

Regular Papers

International Journal of Control, Automation, and Systems 2024; 22(3): 883-891

Published online March 1, 2024 https://doi.org/10.1007/s12555-022-0603-9

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

Super Twisting Observer-based Arbitrary Convergence Time Sliding Mode Control for Uncertain System

Xuelei Qi, Chen Li, Yuanwei Jing, and Hongjun Ma*

South China University of Technology

Abstract

The problem of integral sliding mode control with arbitrary convergence time for nonlinear uncertain systems with matched disturbances is studied. In this paper, the prescribed performance arbitrary convergence time integral sliding mode controller based on the super twisting disturbance observer is designed to overcome the overshoot problem of the system state response curve at the prescribed time. Compared with the existing similar results, this paper introduces the super twisting disturbance observer into the integral sliding mode controller, which can effectively compensate the matching disturbance while avoiding the high-frequency chattering problem and ensure the free-will arbitrary time stable (FATS) of the closed-loop system. In addition, this paper uses the prescribed performance control (PPC) technology to obtain better transient performance. Finally, the effectiveness of the proposed control method is verified through MATLAB simulations.

Keywords: Arbitrary convergence time, prescribed performance control, sliding mode control, super-twisting observer.

IJCAS
January 2025

Vol. 23, No. 1, pp. 1~88

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