Practical Tracking of Permanent Magnet Linear Motor Via Logarithmic Sliding Mode Control

Dong, Hanlin; Yang, Xuebo; Basin, Michael V.

doi:10.1109/tmech.2022.3142175

Cited by 50 publications

(32 citation statements)

References 45 publications

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“…For this purpose, the control law parameters are chosen as: 𝜆 𝑖 =15, 𝑘 𝑖 =15, 𝑖= 1, 2, 3, 𝜖 1 =50, 𝜖 2 =40, 𝜖 3 =40; and the initial states are considered as: x (0) =[-0.2, 0.3, 0.2] T . Here, in addition to changing the parameters of 𝜆 𝑖 and 𝑘 𝑖 , other parameters in the control law (34) including 𝜖 𝑖 , have also been changed and more optimal values have been replaced them.…”

Section: VIII Scenariomentioning

confidence: 99%

“…In [33], a fractional order sliding mode controller for the sensor-less tele-robotic system with uncertain time delay, model uncertainty, fractional calculus numerical approximation bias, and external disturbances was proposed and optimized based on the greedy algorithm. In [34] the authors have focused on the fast position tracking problem for the permanent magnet linear motor (PMLM) system under a logarithmic sliding mode control signal with reduced chattering. A novel fractional-order sliding mode control scheme based on a two-layer hidden recurrent neural network (THLRNN) for single-phase shunt active power filter was proposed in [35].…”

Section: Introductionmentioning

confidence: 99%

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Chattering-Free Terminal Sliding Mode Control Based on Adaptive Barrier Function for Chaotic Systems With Unknown Uncertainties

et al. 2022

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This paper designs and implements a chattering-free terminal sliding mode control approach for a class of chaotic systems with unknown uncertainties. It considers sliding mode control (SMC) to deal with the dynamic model uncertainties of the chaos system, and uses a combination of SMC with an adaptive control approach to solve the upper boundaries problem of unknown model uncertainties and their estimation. Chattering is completely eliminated without over estimating the control gains by adopting an adaptive continuous barrier function in the dynamic switching function. Using the Lyapunov's stability theory, it was shown that the proposed scheme can guarantee the convergence of system states to the vicinity of the sliding surface in finite time. Additionally, the adoption of a sliding surface with a nonlinear and integral switching function resulted in removing the reaching phase of the sliding surface and yielding a controller that is robust to uncertainties from the start. The effectiveness of the proposed control method was assessed using three scenarios implemented to a Liu's uncertain chaotic system in MATLAB/Simulink environment. The obtained results confirmed the ability of the proposed approach to achieve continuous and smooth control rules for such chaotic systems. Among the main attributes of the proposed control method are its ability to completely eliminate chattering and yield a robust performance against model uncertainties and unknown external disturbances; common issues in chaotic systems.INDEX TERMS Terminal sliding mode control, chaotic systems, adaptive barrier function, chattering-free, unknown uncertainty.

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Section: VIII Scenariomentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Chattering-Free Terminal Sliding Mode Control Based on Adaptive Barrier Function for Chaotic Systems With Unknown Uncertainties

et al. 2022

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“…Pan et al [24] combined the isokinetic reaching law with the bipower reaching law to accelerate the global convergence of the sliding mode variable structure. Dong et al [25] proposed a class of globally nonsingular SMC laws, called logarithmic sliding mode control, which led to a higher tracking precision and a faster local convergence rate than those of some classical SMCs. To attenuate the effect of parameter uncertainties and uncertain nonlinearities in the hydraulic system, other nonlinear control schemes have been proposed, such as the disturbance observer [26][27][28][29][30], state observer [31][32][33], and adaptive control [34][35][36][37].…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control of Electro-Hydraulic Position Servo System Based on Adaptive Reaching Law

et al. 2022

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For the problem of the system state variable taking a long time to reach the sliding mode surface and the chattering frequency being high in the sliding mode surface, a sliding mode control method based on the adaptive reaching law is proposed, the system state variable is introduced based on the subreaching law, and an improved variable-speed reaching law is added with reference to the characteristics of the hyperbolic tangent function. The sliding mode control method is divided into two stages, namely, the initial state to the critical value s = ±1 and the system state variable reaching the equilibrium point of the sliding mode surface, and the total time obtained is less than the sum of these two stages. Secondly, this method is adopted in the electro-hydraulic position servo system, and a sliding mode controller is established. Through an AMESim/Simulink co-simulation, it is compared with the sliding mode controller based on the traditional exponential reaching law. The results show that this method can effectively reduce the jitter of the system, reduce the time for the system to reach the sliding surface, and improve the robustness of the system.

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“…To end with the fast position tracking problem for the permanent magnet linear motor (PMLM) system under a chattering-reduced sliding mode control signal, a class of globally nonsingular sliding mode control (SMC) laws, called logarithmic sliding mode (LnSM) control, is proposed in ref. [37]. A high gain is established at the equilibrium of the sliding mode reduced-order system, which leads to a higher tracking precision and a faster local convergence rate than those of some classical SMCs.…”

Section: Introductionmentioning

confidence: 99%

High order sliding mode based drift algorithm for a commercial PEM fuel cell system

Derbeli

Saadi

Napole

et al. 2022

IET Renewable Power Gen

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Conventional sliding mode controls (SMC) have always shown high robustness when applied to non-linear systems. However, their applications are still limited due to their high-frequency switching which could be a harmful phenomenon for different systems. As a solution, this paper proposes a high order SMC based drift algorithm. First, the algorithm is designed theoretically for a proton exchange membrane fuel cell system, where the stability study is proved with Lyapunov theory. Then, it was implemented in a commercial Heliocentris FC50 fuel cell system together with a power converter, a BK Precision 8500 programmable load, and a MicroLabBox dSpace DS1202. Comparative outcomes with the conventional SMC have shown the pros and cons of each scheme in terms of steady-state oscillations, convergence speed, and robustness.

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Practical Tracking of Permanent Magnet Linear Motor Via Logarithmic Sliding Mode Control

Cited by 50 publications

References 45 publications

Chattering-Free Terminal Sliding Mode Control Based on Adaptive Barrier Function for Chaotic Systems With Unknown Uncertainties

Chattering-Free Terminal Sliding Mode Control Based on Adaptive Barrier Function for Chaotic Systems With Unknown Uncertainties

Sliding Mode Control of Electro-Hydraulic Position Servo System Based on Adaptive Reaching Law

High order sliding mode based drift algorithm for a commercial PEM fuel cell system

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