Nonlinear system controlled using novel adaptive fixed-time SMC

Saim Ahmed; Ahmad Taher Azar; Ibraheem Kasim Ibraheem; Saim Ahmed; Ahmad Taher Azar; Ibraheem Kasim Ibraheem

doi:10.3934/math.2024384

AIMS Mathematics

2024, Volume 9, Issue 4: 7895-7916. doi: 10.3934/math.2024384

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Nonlinear system controlled using novel adaptive fixed-time SMC

1.
College of Computer and Information Sciences Prince Sultan University Riyadh, Saudi Arabia; Emails: aazar@psu.edu.sa, ahmad_t_azar@ieee.org
2.
Automated Systems and Soft Computing Lab (ASSCL), Prince Sultan University, Riyadh 11586, Saudi Arabia
3.
Faculty of Computers and Artificial Intelligence, Benha University, Benha 13518, Egypt; Email: ahmad.azar@fci.bu.edu.eg
4.
Department of Electrical Engineering, College of Engineering, University of Baghdad, Baghdad 10001, Iraq; Email: ibraheemki@coeng.uobaghdad.edu.iq
5.
Department of Electronics and Communication Engineering, Uruk University, Baghdad, Iraq

Received: 15 December 2023 Revised: 04 February 2024 Accepted: 13 February 2024 Published: 26 February 2024
MSC : 93C10, 93C40, 93D09, 93D21, 93B52

This work introduces a novel adaptive fixed-time control strategy for nonlinear systems subject to external disturbances. The focus pertains to the introduction of the fixed-time terminal sliding mode control (FxSMC) technique. The proposed scheme exhibits rapid convergence, chatter-free and smooth control inputs, and stability within a fixed time. The utilization of an adaptive methodology in combination with the FxSMC yields the proposed strategy. This approach is employed to address the dynamic system in the presence of external disturbances. The results obtained from the Lyapunov analysis will provide insights into the stability of the closed-loop system in a fixed time. In the end, the simulation results are presented in order to assess and demonstrate the effectiveness of the methodology.
- adaptive control,
- fixed-time control,
- nonsingular sliding mode control,
- fast convergence,
- nonlinear system
Citation: Saim Ahmed, Ahmad Taher Azar, Ibraheem Kasim Ibraheem. Nonlinear system controlled using novel adaptive fixed-time SMC[J]. AIMS Mathematics, 2024, 9(4): 7895-7916. doi: 10.3934/math.2024384

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Abstract

This work introduces a novel adaptive fixed-time control strategy for nonlinear systems subject to external disturbances. The focus pertains to the introduction of the fixed-time terminal sliding mode control (FxSMC) technique. The proposed scheme exhibits rapid convergence, chatter-free and smooth control inputs, and stability within a fixed time. The utilization of an adaptive methodology in combination with the FxSMC yields the proposed strategy. This approach is employed to address the dynamic system in the presence of external disturbances. The results obtained from the Lyapunov analysis will provide insights into the stability of the closed-loop system in a fixed time. In the end, the simulation results are presented in order to assess and demonstrate the effectiveness of the methodology.

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