Sliding Mode Control Versus Fractional-Order Sliding Mode Control: Applied to a Magnetic Levitation System

Roy, Prasanta; Roy, Binoy Krishna

doi:10.1007/s40313-020-00587-8

Cited by 30 publications

(22 citation statements)

References 17 publications

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“…The proposed control law aims to enable the system output d to track the ideal output x re f under a semi-active approach. This means that the control is only activated in one direction, opposite to gravitational force, introducing a challenge control design, in contrast with, for instance, [14,18,23,[30][31][32], where the active approach is employed. Moreover, the maximum voltage is stated at 5 V; however, in the literature, its maximum is usually 12 V [19].…”

Section: Control Algorithmmentioning

confidence: 99%

“…Another study has also improved the traditional PID by introducing the socalled fractional-order PID control with a soft computing approach [11]. In [18], the authors present a comparison between the sliding-mode control and the fractional-order sliding mode control, emphasizing the benefits of the latter. A different study raises the concept of generalized PI controller, showing clear advantages with respect to the traditional PID [19].…”

Section: Introductionmentioning

confidence: 99%

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Semi-Active Magnetic Levitation System for Education

et al. 2021

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This paper describes how to construct a low-cost magnetic levitation system (MagLev). The MagLev has been intensively used in engineering education, allowing instructors and students to learn through hands-on experiences of essential concepts, such as electronics, electromagnetism, and control systems. Built from scratch, the MagLev depends only on simple, low-cost components readily available on the market. In addition to showing how to construct the MagLev, this paper presents a semi-active control strategy that seems novel when applied to the MagLev. Experiments performed in the laboratory provide comparisons of the proposed control scheme with the classical PID control. The corresponding real-time experiments illustrate both the effectiveness of the approach and the potential of the MagLev for education.

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Section: Control Algorithmmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Semi-Active Magnetic Levitation System for Education

et al. 2021

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“…Nevertheless, the other cases yielding a nonlinear fractional-order control system have been also considered in literature, e.g. LI process and NLF controller in [113], LF process and NLI controller in [114] [115], LF process and NLF controller in [116], NLI process and LF controller in [117] [118], NLI process and NLF controller in [119], NLF process and LI controller in [120], NLF process and LF controller in [121], and NLF process and NLI controller in [122].…”

Section: Nonlinear Fractional-order Control Systemsmentioning

confidence: 99%

Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

Tavazoei

Tavakoli-Kakhki

Bizzarri

2020

IEEE Open J. Circuits Syst.

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In recent years, fractional-order differential operators, and the dynamic models constructed based on these generalized operators have been widely considered in design and practical implementation of electrical circuits and systems. Simultaneously, facing with fractional-order dynamics and the nonlinear ones in electrical circuits and systems enforces us to use more advanced tools (in comparison to those commonly used in design and analysis of linear fractional-order/nonlinear integer-order circuits and systems) for their analysis, design, and implementation. Discussing on such a motivation, this tutorial paper aims to provide an overview on the recent achievements in proposing effective tools for analysis and design of nonlinear fractional-order circuits and systems. Moreover, some open problems, which can specify future directions for continuing research works on the aforementioned subject, are discussed.

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“…Sliding mode control has been paid much attention [1] [2] due to its robustness to matched uncertainties. [3] and [4] propose sliding-mode neuro-controller and fractional-order SMC for systems with matched disturbances, respectively. However, mismatched disturbances widely exist in practical systems, such as spacecraft system [5], DC-DC converters [6] and so on.…”

Section: Introductionmentioning

confidence: 99%

Invariant Manifold Based Output-Feedback Sliding Mode Control for Systems With Mismatched Disturbances

Zhang

Yang

et al. 2021

IEEE Trans. Circuits Syst. II

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This paper proposes an invariant manifold based output-feedback sliding mode control (SMC) strategy for systems with mismatched disturbances to achieve asymptotic tracking and disturbance rejection. Different from the existing outputfeedback SMC methods, the invariant manifold is employed to transform the multiple mismatched disturbances into matched ones, which can provide full system dynamics for controller design to improve accuracy. An observer is developed to estimate unmeasurable states, then an output-feedback sliding mode controller is proposed. Moreover, the switching gain of the controller adaptively changes with the estimation error, which reduces chattering in SMC. Experiments on a converter-driven DC motor system verify the superiority of the proposed method.

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Sliding Mode Control Versus Fractional-Order Sliding Mode Control: Applied to a Magnetic Levitation System

Cited by 30 publications

References 17 publications

Semi-Active Magnetic Levitation System for Education

Semi-Active Magnetic Levitation System for Education

Nonlinear Fractional-Order Circuits and Systems: Motivation, A Brief Overview, and Some Future Directions

Invariant Manifold Based Output-Feedback Sliding Mode Control for Systems With Mismatched Disturbances

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