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Research Papers

Lyapunov Sliding-Mode Observers With Application for Active Magnetic Bearing Operated With Zero-Bias Flux

[+] Author and Article Information
Arkadiusz Mystkowski

Department of Automatic Control and
Robotics,
Bialystok University of Technology,
Wiejska 45A,
Bialystok 15-351, Poland
e-mail: a.mystkowski@pb.edu.pl

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT,AND CONTROL. Manuscript received May 24, 2017; final manuscript received November 6, 2018; published online December 19, 2018. Assoc. Editor: Heikki Handroos.

J. Dyn. Sys., Meas., Control 141(4), 041006 (Dec 19, 2018) (12 pages) Paper No: DS-17-1272; doi: 10.1115/1.4041978 History: Received May 24, 2017; Revised November 06, 2018

This study deals with sliding-mode nonlinear observers for a flux-controlled active magnetic bearing (AMB) operated with zero-bias flux. The Lyapunov sliding-mode observer (LSMO) feedback designs are performed for the nonlinear AMB dynamics due to control voltage saturation. The nonlinear observers are designed to estimate the magnetic flux and rotor mass velocity. The observer designs are incorporated in equivalence implementation of the nonlinear state-feedback controller. The main design tools such as sliding-mode control, Lyapunov-based control are used in this framework. The proposed observers are verified by means of numerical simulations, and stability and effectiveness of the proposed observer-based feedback designs are shown.

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References

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Figures

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Fig. 1

(a) One-degree-of-freedom AMB flux observer-based feedback control diagram and (b) magnetic hysteresis loop of the AMB actuator

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Fig. 3

Comparison of observer-based feedback responses: (a) observer (24) and (b) observer (29)

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Fig. 2

Scheme of 1DOF AMB

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Fig. 4

Comparison of estimate state x̂3 and true state x3: (a) observer (30) and (b) observer (38)

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Fig. 5

State-feedback and observer-based feedback responses with the observer (38)

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Fig. 6

(a) Flux estimation errors; (b) total fluxes ϕ1 and ϕ2; for observers (24), (30), (38) with controller (20) and for observer (29) with controller u=ν+uL; controller gains: k1=0.92,k2=9.94,k3=0.1

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Fig. 7

State-feedback and observer-based feedback fluxes and command voltages with the observer (29) and with control law u=ν+uL, for controller gains: k1=0.92,k2=9.94

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Fig. 8

State-feedback and observer-based feedback responses for IM and actual model (AM) with the observer (30) and (38)

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