Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems

Ataşlar-Ayyıldız, Banu; Karahan, Oğuzhan; Yılmaz, Serhat

doi:10.3390/fractalfract5030101

Cited by 15 publications

(6 citation statements)

References 47 publications

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“…On the basis of the fractional order theory, researchers have extensively explored the design and application of controllers. In general, fractional order control is combined with other traditional control methods, such as PD control [36], PID control, and sliding mode control [72], to improve control performance. Compared with the transfer function of the conventional PID control in (1), the fractional order PID (FOPID) control adds two additional fractional order parameters: fractional integral value λ and fractional derivative value µ as…”

Section: Fractional Order Controlmentioning

confidence: 99%

A Review of Levitation Control Methods for Low- and Medium-Speed Maglev Systems

Zhu,

Wang,

2024

Buildings

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Maglev transportation is a highly promising form of transportation for the future, primarily due to its friction-free operation, exceptional comfort, and low risk of derailment. Unlike conventional transportation systems, maglev trains operate with no mechanical contact with the track. Maglev trains achieve levitation and guidance using electromagnetic forces controlled by a magnetic levitation control system. Therefore, the magnetic levitation control system is of utmost importance in maintaining the stable operation performance of a maglev train. However, due to the open-loop instability and strong nonlinearity of the control system, designing an active controller with self-adaptive ability poses a substantial challenge. Moreover, various uncertainties exist, including parameter variations and unknown external disturbances, under different operating conditions. Although several review papers on maglev levitation systems and control methods have been published over the last decade, there has been no comprehensive exploration of their modeling and related control technologies. Meanwhile, many review papers have become outdated and no longer reflect the current state-of-the-art research in the field. Therefore, this article aims to summarize the models and control technologies for maglev levitation systems following the preferred reporting items for systematic reviews and meta-analysis (PRISMA) criteria. The control technologies mainly include linear control methods, nonlinear control methods, and artificial intelligence methods. In addition, the article will discuss maglev control in other scenarios, such as vehicle–guideway vibration control and redundancy and fault-tolerant design. First, the widely used maglev levitation system modeling methods are reviewed, including the modeling assumptions. Second, the principle of the control methods and their control performance in maglev levitation systems are presented. Third, the maglev control methods in other scenarios are discussed. Finally, the key issues pertaining to the future direction of maglev levitation control are discussed.

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Section: Fractional Order Controlmentioning

confidence: 99%

A Review of Levitation Control Methods for Low- and Medium-Speed Maglev Systems

Zhu,

Wang,

2024

Buildings

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“…The role of robust feedback control has very much importance in non-volatile fractional order systems [11][12][13]. A fractional-order controller for stabilizing an unstable open loop is proposed in [14][15][16]. In [17], adaptive fractional PID controller based on neural network is proposed.…”

Section: Introductionmentioning

confidence: 99%

Novel Robust Control Using a Fractional Adaptive PID Regulator for an unstable system

Bensafia

Idir

Khettab

et al. 2022

IJEEI

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Recent advances in fractional order calculus led to the improvement of control theory and resulted in the potential use of a fractional adaptive proportional integral derivative (FAPID) controller in advanced academic and industrial applications as compared to the conventional adaptive PID (APID) controller. Basically, a fractional order adaptive PID controller is an improved version of a classical integer order adaptive PID controller that outperformed its classical counterpart. In the case of a closed loop system, a minor change would result in overall system instability. An efficient PID controller can be used to control the response of such a system. Among various parameters of an instable system, the speed of the system is an important parameter to be controlled efficiently. The current research work presents the speed control mechanism for an uncertain, instable system by using a fractional-order adaptive PID controller. To validate the arguments, the effectiveness and robustness of the proposed fractional order adaptive PID controller have been studied in comparison to the classical adaptive PID controller using the criterion of quadratic error. Simulation findings and comparisons demonstrated that the proposed controller has superior control performance and outstanding robustness in terms of percentage overshoot, settling time, rising time, and disturbance rejection.

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“…Fractional calculus aids the precision and conciseness of modeling, and many practical plants have been validated to have fractional order properties, such as memristor [1], viscoelasticity [2], psoriasis [3], and abnormal diffusion process [4,5]. In addition, fractional order controllers have been shown to achieve better control performance, such as strong robustness and rapid convergence speed, compared with classical integer order controllers [6][7][8]. Moreover, some fractional order controllers, such as PI λ D µ controller [9], have been successfully applied in practice.…”

Section: Introductionmentioning

confidence: 99%

Sliding Mode Control for a Class of Nonlinear Fractional Order Systems with a Fractional Fixed-Time Reaching Law

et al. 2022

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In this paper, the sliding-mode control method was used to control a class of general nonlinear fractional-order systems which covers a wide class of chaotic systems. A novel sliding manifold with an additional nonlinear part which achieved better control performance was designed. Furthermore, a novel fixed-time reaching law with a fractional adaptive gain is proposed, where the reaching time to the sliding manifold is determined by the first positive zero of a Mittag–Leffler function and is independent of initial conditions. We have provided some instructions on tuning the parameters of the proposed reaching law to avoid exacerbating the chattering phenomenon. Finally, simulation examples are presented to validate all results.

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Control and Robust Stabilization at Unstable Equilibrium by Fractional Controller for Magnetic Levitation Systems

Cited by 15 publications

References 47 publications

A Review of Levitation Control Methods for Low- and Medium-Speed Maglev Systems

A Review of Levitation Control Methods for Low- and Medium-Speed Maglev Systems

Novel Robust Control Using a Fractional Adaptive PID Regulator for an unstable system

Sliding Mode Control for a Class of Nonlinear Fractional Order Systems with a Fractional Fixed-Time Reaching Law

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