Regular Papers

International Journal of Control, Automation and Systems 2022; 20(5): 1509-1520

Published online April 21, 2022

https://doi.org/10.1007/s12555-021-0211-0

© The International Journal of Control, Automation, and Systems

Adaptive Continuous Sliding Mode Control for Fractional-order Systems with Uncertainties and Unknown Control Gains

Lu Chen and Jian-an Fang*

Donghua University

Abstract

The main purpose of this paper is to design the continuous sliding mode control, which resolves the stability problem of fractional-order nonlinear systems by taking into consideration both matched and unmatched uncertainties, and unknown control gains. Three different sliding mode controllers are put forward to attenuate the chattering problem, which pass an adaptive fractional-order filter. The control function constituted of a novel SMC method and backstepping control is proposed to deal with the problem of unmatched uncertainty. Utilizing the fractional-order Lyapunov technology and the finite-time control strategy, the analysis results of this paper are theoretically proved. Finally, the availability and feasibility of the suggested chattering free sliding mode control are also confirmed by the application to the control of the fractional-order horizontal platform system.

Keywords Adaptive control, finite-time stability, fractional-order nonlinear system, sliding mode control.

Article

Regular Papers

International Journal of Control, Automation and Systems 2022; 20(5): 1509-1520

Published online May 1, 2022 https://doi.org/10.1007/s12555-021-0211-0

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

Adaptive Continuous Sliding Mode Control for Fractional-order Systems with Uncertainties and Unknown Control Gains

Lu Chen and Jian-an Fang*

Donghua University

Abstract

The main purpose of this paper is to design the continuous sliding mode control, which resolves the stability problem of fractional-order nonlinear systems by taking into consideration both matched and unmatched uncertainties, and unknown control gains. Three different sliding mode controllers are put forward to attenuate the chattering problem, which pass an adaptive fractional-order filter. The control function constituted of a novel SMC method and backstepping control is proposed to deal with the problem of unmatched uncertainty. Utilizing the fractional-order Lyapunov technology and the finite-time control strategy, the analysis results of this paper are theoretically proved. Finally, the availability and feasibility of the suggested chattering free sliding mode control are also confirmed by the application to the control of the fractional-order horizontal platform system.

Keywords: Adaptive control, finite-time stability, fractional-order nonlinear system, sliding mode control.

IJCAS
May 2024

Vol. 22, No. 5, pp. 1461~1759

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