Combined FIR and Fractional-Order Repetitive Control for Harmonic Current Suppression of Magnetically Suspended Rotor System

Cui, Peiling; Wang, Qirui; Li, Sheng; Gao, Qian

doi:10.1109/tie.2017.2668985

Cited by 27 publications

(9 citation statements)

References 25 publications

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“…System parameters are shown in Table 1. As a typical cross-coupled antisymmetric system, the above dynamics can be rewritten as the differential equation form in (2). The corresponding parameters are derived as follows,…”

Section: Methodsmentioning

confidence: 99%

“…The life and accuracy of the rotor supported by magnetic bearing are greatly improved, and high-speed rotation can be realised. Thus, the magnetically suspended rotor (MSR) is widely used in industrial fields, such as magnetically suspended centrifugal compressors, vacuum pumps, and magnetically suspended molecular pump [1,2]. Additionally, the MSR has the advantages of adjustable stiffness and damping.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Synchronous vibration control for a class of cross‐coupled antisymmetric MSR systems

Peng

Zhu

Ren

et al. 2019

IET Electric Power Applications

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A magnetically suspended rotor (MSR) system always suffers from the non-coincidence of the inertia axis and geometric axis, which results in synchronous vibration varied with the rotational speed. To effectively suppress the synchronous vibration torques for the MSR with significant gyroscopic effects, a consolidated vibration control and stability analysis method is proposed here. The MSR system with inherent gyroscopic effects belongs to a class of cross-coupled antisymmetric system. First, a class of cross-coupled antisymmetric system with synchronous vibration influence is modelled. Then, the principle and implementation of the proposed scheme used for synchronous vibration suppression are analysed in detail. Moreover, a stability analysis method for a class of cross-coupled antisymmetric system is developed, which is not limited to the specific MSR system with gyroscopic effects. Finally, the simulation and experiments are performed in the typical magnetically suspended flywheel to demonstrate the effectiveness of the proposed stability analysis method and the vibration suppression algorithm.

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Section: Methodsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Synchronous vibration control for a class of cross‐coupled antisymmetric MSR systems

Peng

Zhu

Ren

et al. 2019

IET Electric Power Applications

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“…Nowadays, fractional-order derivatives and integrals are extensively adopted for precise description and modeling of a wide range of physical phenomena which are observed in practical systems and applications. As an example, application of fractional calculus in accurately describing the behavior of oscillators [2], medicine [3], mechanical devices [4], electrical systems [5], granular soils [6], circuits [7], and financial systems [8] has been reported in the recent literature. As a result, the dynamical motions of real world physical systems have been more fittingly investigated by fractional-order differential and/or difference equations rather than the integerorder ones.…”

Section: Introductionmentioning

confidence: 99%

Adaptive control realization for canonic Caputo fractional-order systems with actuator nonlinearity: application to mechatronic devices

Aghababa

Saif

2020

Adv Differ Equ

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Nonlinearities, such as dead-zone, backlash, hysteresis, and saturation, are common in the mechanical and mechatronic systems' components and actuators. Hence, an effective control strategy should take into account such nonlinearities which, if unaccounted for, may cause serious response problems and might even result in system failure. Input saturation is one of the most common nonlinearities in practical control systems. So, this article introduces a novel adaptive variable structure control strategy for nonlinear Caputo fractional-order systems despite the saturating inputs. Owing to the complex nature of the fractional-order systems and lack of proper identification strategies for such systems, this research focuses on the canonic systems with complete unknown dynamics and even those with model uncertainties and external noise. Using mathematical stability theory and adaptive control strategy, a simple stable integral sliding mode control is proposed. The controller will be shown to be effective against actuator saturation as well as unknown characteristics and system uncertainties. Finally, two case studies, including a mechatronic device, are considered to illustrate the effectiveness and practicality of the proposed controller in the applications.

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“…The repetitive controller (RC) was originally proposed by Nakano et al [11] according to the internal model theorem [12]; owing to its simple structure and easy implementation, it has been extensively employed for periodic signal tracking or suppression [13][14][15]. However, RCs have the following disadvantages [16]: firstly, the phase delay item deteriorates control system stability; secondly, the sensitivity gain drops at aperiodic components cause decreases in the disturbance suppression characteristics; thirdly, the robustness against measurement noise and unmodeled dynamics is reduced [17]; fourthly, a large amount of memory space is required to store previous values when the period of the disturbance signal is long. An RC based on DOB was proposed in [6]; even though disturbance was effectively attenuated, the bandwidth characteristics of the sensitivity function suppressing harmonic disturbance were narrow, while the command tracking characteristic and system stability were still influenced by the phase delay item.…”

Section: Introductionmentioning

confidence: 99%

Speed Fluctuation Suppression Based on an Adaptive Periodic Disturbance Observer for an Inverter Compressor

Meng

Sun

et al. 2020

Energies

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Repetitive operations have been extensively used in the inverter compressor refrigeration industry. The approximately periodic disturbance caused by repetitive operations must be compensated to realize stable and high-efficiency operation. In this paper, a periodic disturbance observer (PDOB) is proposed to tackle the speed fluctuation of an inverter compressor in the low-frequency range. Periodic disturbance, consisting of a fundamental wave and corresponding harmonics, can thus be estimated and compensated; in addition, sensitivity and complementary sensitivity can reach a compromise through the use of a certain parameter. Aiming at a different operation environment, an adaptive notch filter based on the Steiglitz–McBride method is employed to estimate the fundamental frequency of periodic disturbance. Finally, the feasibility of our approach is verified by MATLAB simulation, and experiments are implemented to illustrate that speed fluctuation can be more effectively attenuated by the proposed method in comparison with general DOB.

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Combined FIR and Fractional-Order Repetitive Control for Harmonic Current Suppression of Magnetically Suspended Rotor System

Cited by 27 publications

References 25 publications

Synchronous vibration control for a class of cross‐coupled antisymmetric MSR systems

Synchronous vibration control for a class of cross‐coupled antisymmetric MSR systems

Adaptive control realization for canonic Caputo fractional-order systems with actuator nonlinearity: application to mechatronic devices

Speed Fluctuation Suppression Based on an Adaptive Periodic Disturbance Observer for an Inverter Compressor

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