Finite-Time Control of a Linear Motor Positioner Using Adaptive Recursive Terminal Sliding Mode

Shao, Ke; Zheng, Jinchuan; Huang, Kang; Wang, Hai; Man, Zhihong; Fu, Minyue

doi:10.1109/tie.2019.2937062

Cited by 157 publications

(93 citation statements)

References 33 publications

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“…By substituting (22) into (20), it can be verified that the initial sliding variable s(0) = 0 which implies that the control system is enforced to start on the sliding surface at the initial time such that the reaching time is eliminated [19]. Since the initial states of the 4WI-SbW system are available in practice, σ I (0) can be calculated by…”

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

“…with τ 0 , τ 1 the equivalent control input and the reaching control input to be designed, respectively. By using (13), (17) and (20) and lettingṡ = 0, d = 0 in (13), we can obtain the following equivalent control input…”

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

“…Remark 1: An alternative dynamics of σ I is utilized in (21) in addition to the power function form used in [20]. Although a signum function is adopted in (21), the control input (26) is continuous.…”

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

“…Remark 2: In [20], a first-order nonsingular terminal sliding mode is utilized. However, serious chattering may occur due to the signum function in the reaching control input.…”

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

“…In [19], motivated by ISMC, a recursive sliding mode structure is proposed based on which the finite time convergence is achieved but the singular problem may occur. In [20], nonsingular adaptive recursive terminal sliding mode (ARTSM) is first developed. However, the control input still contains a switching operation that may cause system chattering.…”

Section: Introductionmentioning

confidence: 99%

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Adaptive Second Order Recursive Terminal Sliding Mode Control for a Four-Wheel Independent Steer-by-Wire System

2020

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An adaptive second order recursive terminal sliding mode (SO-RTSM) is developed for the steering angle control of a four-wheel independent steer-by-wire (4WI-SbW) system. A recursive sliding mode structure is presented based on which the reaching phase is eliminated. Moreover, the finite time convergence of the tracking error is guaranteed compared to common integral sliding mode control (ISMC). Furthermore, to suppress chattering, instead of a first-order sliding mode used in a conventional ARTSM controller, a second order nonsingular terminal sliding mode is adopted such that reaching control input is obtained in an integral form. The advantage of the proposed controller is that the chattering can be effectively reduced without decreasing the control accuracy. Experiments are carried out on a real 4WI-SbW vehicle to demonstrate the fast convergence rate and small chattering of the proposed controller. INDEX TERMS Four-wheel independent steer-by-wire (4WI-SbW), recursive terminal sliding mode (RTSM), second order, chattering, adaptive control.

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Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

“…Remark 2: In [20], a first-order nonsingular terminal sliding mode is utilized. However, serious chattering may occur due to the signum function in the reaching control input.…”

Section: A Construction Of the So-rtsm Controllermentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Adaptive Second Order Recursive Terminal Sliding Mode Control for a Four-Wheel Independent Steer-by-Wire System

2020

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Neural network based recursive terminal sliding mode control and its application to active power filters

Chu

Hou

et al. 2022

Adaptive Control & Signal

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Summary In recent times, research interests for the control design of uncertain nonlinear systems are observed in neuroscience‐inspired intelligent controllers. In this article, a recursive terminal sliding mode control scheme based on continuous radial basis emotional neural network (CRBENN) is proposed. First, a recursive terminal sliding mode controller is constructed. The sliding mode surface is composed of a fast non‐singular terminal sliding mode surface and a recursive integral terminal sliding mode surface, which not only ensures that the tracking error converges to zero in a finite time, but also can eliminate the reaching phase and achieve global robustness by setting the surface parameters with appropriate initial values. In addition, in order to effectively deal with the uncertainty, an adaptive CRBENN controller with online parameter adjustment capability is established, and its stability and convergence are analyzed using the Lyapunov method. The designed CRBENN, inspired by neuroscience, is simple in structure and fast in response. Simulation and experimental results on active power filter show that the control scheme has good current tracking ability and anti‐interference ability.

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Logic‐based probabilistic network model to detect and track faults in a process system

Tahoon

Rusli

Khan

et al. 2019

Process Safety Progress

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Process systems are becoming complex due to a higher dependency among operational variables and complex control loops. Principal component analysis (PCA) is widely used to reduce the dimensionality of the complex process systems, while Bayesian networks (BNs) are increasingly employed to model relationships among the operational variables. This article integrates these two methods (BN and PCA) through a logic‐based approach to study the fault conditions of a process system. A distillation pilot plant is used to test the integrated approach. The process monitoring data are analyzed using the PCA to identify the abnormality variables while the BN is developed using data‐driven learning. The variable dependency in the BN nodes is learned through maximum likelihood estimation. The results of the proposed approach are compared against the logic‐based full BN model. The study observes that the logic‐based PCA‐BN approach proposed improves the reliability of fault detection. While the logic‐based full BN provides a better understanding of fault propagation path through the unit, which helps track and troubleshoot the detected faults.

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Finite-Time Control of a Linear Motor Positioner Using Adaptive Recursive Terminal Sliding Mode

Cited by 157 publications

References 33 publications

Adaptive Second Order Recursive Terminal Sliding Mode Control for a Four-Wheel Independent Steer-by-Wire System

Adaptive Second Order Recursive Terminal Sliding Mode Control for a Four-Wheel Independent Steer-by-Wire System

Neural network based recursive terminal sliding mode control and its application to active power filters

Logic‐based probabilistic network model to detect and track faults in a process system

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