A Novel Global Fast Terminal Sliding Mode Control Scheme for Second-Order Systems

Pan, Huihui; Zhang, Guangming; Ouyang, Huimin; Mei, Lei

doi:10.1109/access.2020.2969665

Cited by 39 publications

(24 citation statements)

References 29 publications

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“…17 However, in the traditional terminal sliding mode control, when the system state error is close to zero, the convergence rate of terminal sliding mode is slower than that of linear sliding mode, so the convergence time is not globally optimal. For this reason, Pan et al 18 proposed the global fast terminal sliding mode control to achieve the whole-process optimization of the convergence time. Due to the chattering problem of terminal sliding mode control, the adaptive high-order terminal sliding mode control is adopted in Ahmed et al, 19 and the switching function is incorporated into the derivative of the control law, which significantly reduces the chattering.…”

Section: Introductionmentioning

confidence: 99%

Fault-tolerant control for a class of n-order systems based on fast terminal sliding mode and extended state observer

Yang

Liu

Wen

et al. 2021

Measurement and Control

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This paper focuses on fast terminal sliding mode fault-tolerant control for a class of n-order nonlinear systems. Firstly, when the actuator fault occurs, the extended state observer (ESO) is used to estimate the lumped uncertainty and its derivative of the system, so that the fault boundary is not needed to know. The convergence of ESO is proved theoretically. Secondly, a new type of fast terminal sliding surface is designed to achieve global fast convergence, non-singular control law and chattering reduction, and the Lyapunov stability criterion is used to prove that the system states converge to the origin of the sliding mode surface in finite time, which ensures the stability of the closed-loop system. Finally, the effectiveness and superiority of the proposed algorithm are verified by two simulation experiments of different order systems.

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Section: Introductionmentioning

confidence: 99%

Fault-tolerant control for a class of n-order systems based on fast terminal sliding mode and extended state observer

Yang

Liu

Wen

et al. 2021

Measurement and Control

View full text Add to dashboard Cite

show abstract

“…Unfortunately, the conventional TSMC still exists some shortcomings, including slow convergence rate when the position initials are far from the desired trajectory; the singularity problem is stated in [20]. Therefore, theoretical breakthroughs were proposed when introducing non-singular TSMC [13], [21] to solve singularity or fast TSMC [21]- [23] to accelerate the convergence rate. A development followed by a combination of NTSMC and FTSMC to produce the non-singular fast terminal sliding mode control (NFTSMC) [24]- [28] or finite-time control [49].…”

Section: Introductionmentioning

confidence: 99%

Implementation of an Adaptive Neural Terminal Sliding Mode for Tracking Control of Magnetic Levitation Systems

Truong

2020

IEEE Access

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In this paper, an adaptive neural terminal sliding mode is implemented for tracking control of magnetic levitation systems with the presence of dynamical uncertainty and exterior perturbation. By proposing a novel fast terminal sliding manifold function with the dynamic coefficients, the system state variables quickly converge the equilibrium point on the manifold function. Besides, an adaptive, robust reaching control law combined with radial basis function neural network compensator drives the system fast approaching the sliding manifold function regardless of whether the initial value is near or far from the sliding manifold and reduces the chattering of the conventional terminal sliding mode control. With a design approach based on the combination of the proposed sliding manifold and the combined control law, the implemented control method provides a control performance with significant improvement in the terms of chattering reduction, high tracking accuracy, fast convergence along with simple design for real applications. The experimental work is implemented for a real magnetic levitation system to demonstrate the superior efficiency of the proposed terminal sliding mode control. The stable evidence of the proposed method is also completely verified by Lyapunov-based method.

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“…Compared with the conventional approach rate, it can effectively reduce the chattering. Literature [7] presented a novel reaching law with two variable power terms, which choose quick power reaching law or the double power reaching law according to the distance from the state variable to the sliding surface. Using this reaching law in the global fast terminal sliding mode control can quicken the convergence rate of the system states in the reaching phase and the sliding phase.…”

Section: Introductionmentioning

confidence: 99%

An Improved Sliding Mode Control via Discrete Time Optimal Control and its Application to Magnetic Suspension System

Yang

Xie

2020

IEEE Access

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Sliding Mode Control (SMC) is a robust control strategy that is insensitive to system uncertainties and external disturbances. It is widely used in designing controllers, observers and differentiators. However, the inevitable chattering problem affects the SMC applications in real-life engineering. This paper presents an improved SMC algorithm based on discrete second-order time optimal control (TOC). The proposed algorithm adopts a simple method to calculate the distance from the state variable to the sliding surface, and it can adjust the linear or nonlinear control law according to the calculated distance. On the other hand, the control law deviation in the two-step reachable region is corrected. The improved control algorithm shortens the convergence time and reduces the chattering problem of the system. It is applied to the design of magnetic suspension controllers. This allows the system to achieve a fast, accurate and stable suspension target when the system has external disturbances and internal parameter perturbations. INDEX TERMS Discrete time systems, time optimal control, sliding mode control, reduction chattering, boundary layer, and magnetic suspension system

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A Novel Global Fast Terminal Sliding Mode Control Scheme for Second-Order Systems

Cited by 39 publications

References 29 publications

Fault-tolerant control for a class of n-order systems based on fast terminal sliding mode and extended state observer

Fault-tolerant control for a class of n-order systems based on fast terminal sliding mode and extended state observer

Implementation of an Adaptive Neural Terminal Sliding Mode for Tracking Control of Magnetic Levitation Systems

An Improved Sliding Mode Control via Discrete Time Optimal Control and its Application to Magnetic Suspension System

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