Real time implementation of feedback linearizing controllers for magnetic levitation system

A kind of incremental sliding mode control (SMC) approach in connection with the well-known composite nonlinear feedback (CNF) control strategy is newly considered in this research to deal with the nonlinear magnetic ball suspension and inverted pendulum systems, as well. The incremental SMC approach is in fact proposed to handle the aforementioned underactuated systems under control, which have a lower number of actuators than degrees of freedom. Based on the outcomes of the investigation presented here, the small overshoot and short settling time of the system response are fulfilled. In fact, the proposed CNF control strategy comprises two parts: the first term assures the stability of the closed-loop nonlinear system and provides a fast convergence response. The second term reduces its overshoot. The genetic-cuckoo hybrid algorithm is designed to minimize tracking errors for the purpose of finding the most suitable sliding surface coefficients. Finally, the finite time stability for the closed-loop system is proved, theoretically.Publisher's Note Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

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“…The nonlinear (s) function selection method is expressed in [8,[30][31][32]. Arbitrary choice of (s) function leads to an acceptable response.…”

Section: The Nonlinear (S) Function In the Cnfmentioning

confidence: 99%

Incremental SMC-based CNF control strategy considering magnetic ball suspension and inverted pendulum systems through cuckoo search-genetic optimization algorithm

Mollabashi

Mazinan

2019

Complex Intell. Syst.

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“…It turned out that the bias of the levitation gap is within AE3 mm; the levitation-gap change process in the ordinary vehicle operation state could be predicted accurately and verified by tests. Naz et al 10 studied different tracking control approaches of the levitation system and compared the responses of the sliding mode controller, the PID controller and the input-output linearized feedback controller to the stepping trajectory. Yang et al 11 proposed a novel composite controller to counteract the disturbance of mismatched uncertainties from the output channel by adding an appropriate disturbance compensation gain.…”

Section: Introductionmentioning

confidence: 99%

Effect of different connection modes of electromagnets on the performance of levitation control

Zhang

Gao

2018

Proceedings of the Institution of Mechanical Engineers, Part F:

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In medium-and low-speed maglev vehicles, each levitation module contains four electromagnetic coils. In order to find a better coil control mode, the difference between the series connection in the control mode of the first and third coils (M1,3) and the series connection in the control mode of the first and second coils (M1,2) was analysed in this paper. By applying a malposition excitation of þ2 mm in the vertical direction of the track for comparing the dynamic adjustment processes of the levitation module (including the vertical motion and rotation) in the two control modes, according to the current fluctuation in the coils in the above processes, the extreme position parameters and the mean current values during the adjustment were obtained. The adjustment process was analysed based on the instantaneous levitation force and the torque of the plate at the extreme positions in different control modes; the performance of the levitation module in the adjustment process and during the fluctuation of the coil current was analysed. The results indicate that for the dangerous ends at the two extreme positions in the selected working condition, the vertical displacement in M1,3 reduces by 11.11 and 48.98%, respectively, compared with that in M1,2. In the whole adjustment process, the mean current of the front and rear controllers in M1,3 reduces by 0.25 and 0.36 A, respectively. Therefore, it has been concluded that with regard to the relative safety and coil heating during vibration of the levitation module, M1,3 performs better than M1,2. Keywords Medium-and low-speed maglev vehicle, control mode, air-gap magnetic flux density, vertical motion, mean current Date

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“…The paper by Joo and Seo (1997) shows that the third-order electromagnetic suspension system is input-state feedback linearizable and the nonlinear feedback controller is robust against matching constant input disturbances and mass perturbations. Naz et al (2013) applied input-state linearization for a simpler second-order magnetic levitation system. State-space linearization was also applied to a perturbed magnetic suspension system by Mittal and Menq (1997).…”

Section: Introductionmentioning

confidence: 99%

Feedback linearization of an active magnetic bearing system operated with a zero–bias flux

Mystkowski

Kaparin

Kotta

et al. 2017

International Journal of Applied Mathematics and Computer Science

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Input-output linearization by state feedback is applied to a flux-controlled active magnetic bearing (AMB) system, operated in the zero-bias mode. Two models of the AMB system are employed. The first one is described by the third-order dynamics with a flux-dependent voltage switching scheme, whereas the second one is the fourth-order system, called selfsensing AMB, since it does not require the measurement of the rotor position. In the case of that system we had to find the flat outputs to guarantee its stability. The proposed control schemes are verified by means of numerical simulations performed within the Matlab environment.

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Real time implementation of feedback linearizing controllers for magnetic levitation system

Cited by 8 publications

References 7 publications

Incremental SMC-based CNF control strategy considering magnetic ball suspension and inverted pendulum systems through cuckoo search-genetic optimization algorithm

Incremental SMC-based CNF control strategy considering magnetic ball suspension and inverted pendulum systems through cuckoo search-genetic optimization algorithm

Effect of different connection modes of electromagnets on the performance of levitation control

Feedback linearization of an active magnetic bearing system operated with a zero–bias flux

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