Fractional-order nonsingular terminal sliding mode control via a disturbance observer for a class of nonlinear systems with mismatched disturbances

This study proposes an adaptive nonsingular integral dynamic terminal sliding mode tracker/synchronizer for disturbed nonlinear systems along with its usage in safe communication systems. The convergence of the closed-loop structure under unknown uncertainty and disturbances is guaranteed via Lyapunov analysis. Furthermore, a parameter-tuning method is planned to approximate the upper bound of uncertainty and disturbance terms, since this latter is typically unknown in practice. The proposed approach is used to design a digital secure transmission scheme according to the chaotic systems. The effectiveness of the suggested approach is validated using computer simulations on a benchmark example of chaotic system. The obtained outcomes clearly confirm the ability of the planned control approach enables to attain the desired tracking/synchronizing performance despite the disturbances. Additionally, when implemented to the data encryption of a communication system, the proposed control and secure communication techniques enabled the complete and secure retrieval of the original digital sequences.

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“…(Razzaghian et al (2021)): The matrices f(x(t)) and g(x(t)) are known, smooth nonlinear functions and |g(x(t))|≠0 for all possible x and t≥0.…”

Section: System Definition and Preliminariesmentioning

confidence: 99%

Adaptive nonsingular integral-type dynamic terminal sliding mode synchronizer for disturbed nonlinear systems and its application to secure communication systems

Vaseghi

Mobayen

Din

et al. 2022

Journal of Vibration and Control

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“…In order to further improve the transient performances of the disturbance observer, Gu et al present a finite‐time disturbance observer based composite controller for tower cranes to resist the unmatched uncertainties 12 . In Reference 27, a novel finite‐time disturbance observer based fractional‐order nonsingular terminal sliding mode controller is presented for mismatched uncertain nonlinear systems. In Reference 28, a finite‐time disturbance observer based nonlinear control method is proposed for the overhead crane system with uncertain disturbances, in which, external disturbances are estimated and eliminated by the disturbance observer in finite time.…”

Section: Introductionmentioning

confidence: 99%

Fixed time robust control for tower cranes with unmatched disturbances and input saturation

Hong

et al. 2023

Adaptive Control & Signal

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To address the challenging problem of fixed-time anti-sway and positioning control for tower cranes with uncertain disturbances and input saturation, a novel fixed-time anti-saturation robust algorithm is proposed. First, on the basis of a newly designed fixed-time convergence system, a fixed-time disturbance observer (FTDO) is developed to estimate the matched and unmatched disturbances. Then, an anti-saturation compensator is employed to deal with the input saturation and make the control input leave the saturated region rapidly. Upon which, a novel non-singular fast terminal sliding mode surface is presented. Furthermore, in order to ensure the stability of each subsystem, a hierarchical sliding mode surface taking into account unmatched disturbances and input saturation is designed. Finally, the FTDO based hierarchical sliding mode control law is introduced to improve the transient control performance and robustness of tower cranes. The fixed-time convergence of the closed-loop system is proved by Lyapunov technique. Numerical simulations for four scenarios demonstrate the validity of the presented control scheme and fastest convergence speed in comparison to the recently proposed fixed-time control methods.

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“…Therefore, a number of disturbance estimation technologies are proposed to improve the disturbance observer (DO) composite fractional-order nonsingular terminal sliding mode controller has been developed to estimate and compensate for the mismatched disturbance in an uncertain system (Razzaghian et al, 2021). In ref.…”

Section: Introductionmentioning

confidence: 99%

Extended state observer-based nonsingular terminal sliding mode controller for a DC-DC buck converter with disturbances: theoretical analysis and experimental verification

Wang

et al. 2022

International Journal of Control

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Fractional-order nonsingular terminal sliding mode control via a disturbance observer for a class of nonlinear systems with mismatched disturbances

Cited by 27 publications

References 42 publications

Adaptive nonsingular integral-type dynamic terminal sliding mode synchronizer for disturbed nonlinear systems and its application to secure communication systems

Adaptive nonsingular integral-type dynamic terminal sliding mode synchronizer for disturbed nonlinear systems and its application to secure communication systems

Fixed time robust control for tower cranes with unmatched disturbances and input saturation

Extended state observer-based nonsingular terminal sliding mode controller for a DC-DC buck converter with disturbances: theoretical analysis and experimental verification

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