The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach

Jiang, Jingfei; Xu, Xin; Zhao, Kun; Guirao, Juan Luis García; Saeed, Tareq; Chen, Huatao

doi:10.3390/fractalfract6050231

Cited by 4 publications

(2 citation statements)

References 56 publications

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“…The u(t) is the to the VTOL system in terms of the motor current, and y = x = θ is the pitch of the VTOL system along the horizontal axis. To achieve the required performance, the following sliding surface is selected for the VTOL system [31][32][33][34][35][36][37][38][39].…”

Section: Istsmc For Vtol Systemmentioning

confidence: 99%

Experimental Stability Analysis of Vertical Takeoff and Landing System Based on Robust Control Strategy

Ilyas,

Aziz,

Shah

et al. 2023

Applied Sciences

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The Vertical Take-Off and Landing (VTOL) system is a multi-variable system subjected to harsh weather conditions, which creates challenges in proving the stability of the system before takeoff, which is essential for a flight dynamics system. The presented research work is based on the experimental results of the VTOL system to investigate and prove the stability using Lyapunov theory. This is achieved by tracking the pitch along the x-axis using cascaded control and integral super twisting sliding mode control (ISTSMC) algorithms. The motor current of the propeller assembly is regulated based on proportional integral (PI) and proportional integral derivative (PID) controllers. The cascaded control shows the maximum tracking error due to high-frequency fluctuations in the controller input signal, which lead to expensive mechanical losses for the actuators. The comparison of the results shows that ISTSMC outperforms the cascaded control strategy by reducing the tracking error to less than 1% percent and reducing the high-frequency fluctuations in the controller input signal. The hardware results show a minor delay in the transient response during vertical takeoff due to the inertia of the system and the tracking error due to air friction, etc., of the external environment, compared to the simulation results obtained in MATLAB.

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Section: Istsmc For Vtol Systemmentioning

confidence: 99%

Experimental Stability Analysis of Vertical Takeoff and Landing System Based on Robust Control Strategy

Ilyas,

Aziz,

Shah

et al. 2023

Applied Sciences

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show abstract

“…In [6], the authors investigated real-world tracking control problems using fractional calculus properties. Using the global sliding-mode control method (GSMCM), they improved the global robustness of the systems.…”

mentioning

confidence: 99%

New Challenges Arising in Engineering Problems with Fractional and Integer Order-II

2022

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Stabilization of fractional nonlinear systems with disturbances via sliding mode control

Wang,

Cui,

Zhang

et al. 2024

Intl J Robust & Nonlinear

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In this article, the sliding mode control (SMC) of fractional nonlinear systems (FNSs) with disturbances is studied. First, a useful fractional power‐rate inequality for is extended to a more general form . Based on the generalized inequality, the method of a modified fractional integral SMC is completed, in which the parameter of the symbolic function is extended to and . This increases the degree of freedom of the sliding mode surface (SMS). Then, the SMC of FNSs is studied for the cases of known and unknown disturbances. In the case of known disturbance, it is proved by the generalized inequality and quadratic Lyapunov function method that the state of the FNSs can converge asymptotically to zero on the SMS. For the case of unknown disturbance, a fractional disturbance observer is used to estimate the disturbance by introducing auxiliary variables . The disturbance estimation error of the proposed FNSs is proved to be bounded. An equivalent global control law is obtained and asymptotic convergence of the FNSs under the action of the controller is proved. Finally, two numerical simulation examples are given to verify the feasibility of the method proposed in this article.

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The Tracking Control of the Variable-Order Fractional Differential Systems by Time-Varying Sliding-Mode Control Approach

Cited by 4 publications

References 56 publications

Experimental Stability Analysis of Vertical Takeoff and Landing System Based on Robust Control Strategy

Experimental Stability Analysis of Vertical Takeoff and Landing System Based on Robust Control Strategy

New Challenges Arising in Engineering Problems with Fractional and Integer Order-II

Stabilization of fractional nonlinear systems with disturbances via sliding mode control

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