Active Control of Active Magnetic Bearings for Maglev Flywheel Rotor System Based on Sliding Mode Control

An active control strategy is developed for nonlinear vibration control of an axially translating beam applied in engineering field. The control strategy is established on the basis of Fuzzy Sliding Mode Control. The nonlinear model governing the beam system is described with a six-degree nonlinear dynamic system. Corresponding to the multi-degree nonlinear system, the active control strategy is developed. The proposed control strategy is proven to be effective in controlling and stabilizing the nonlinear motions especially chaotic motion of the beam.

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Synchronization and Electronic Circuit Application of Hidden Hyperchaos in a Four-Dimensional Self-Exciting Homopolar Disc Dynamo without Equilibria

Complexity ◽

10.1155/2017/7101927 ◽

2017 ◽

Vol 2017 ◽

pp. 1-11 ◽

Cited By ~ 7

Author(s):

Yu Feng ◽

Zhouchao Wei ◽

Uğur Erkin Kocamaz ◽

Akif Akgül ◽

Irene Moroz

Keyword(s):

Sliding Mode Control ◽

Active Control ◽

Electronic Circuit ◽

Sliding Mode ◽

Control Variable ◽

Three Dimensional ◽

Hyperchaotic System ◽

Synchronization Errors ◽

Mode Control ◽

Additional Control

We introduce and investigate a four-dimensional hidden hyperchaotic system without equilibria, which is obtained by augmenting the three-dimensional self-exciting homopolar disc dynamo due to Moffatt with an additional control variable. Synchronization of two such coupled disc dynamo models is investigated by active control and sliding mode control methods. Numerical integrations show that sliding mode control provides a better synchronization in time but causes chattering. The solution is obtained by switching to active control when the synchronization errors become very small. In addition, the electronic circuit of the four-dimensional hyperchaotic system has been realized in ORCAD-PSpice and on the oscilloscope by amplitude values, verifying the results from the numerical experiments.

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Sliding Mode Control of Magnetic Bearings: Comparison of Sensed and Self Sensing Performance

Volume 4: Manufacturing Materials and Metallurgy; Ceramics; Structures and Dynamics; Controls, Diagnostics and Instrumentation; Education; IGTI Scholar Award; General ◽

10.1115/99-gt-206 ◽

1999 ◽

Cited By ~ 2

Author(s):

S. Ueno ◽

J. H. Lee ◽

P. E. Allaire ◽

Y. Okada

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

Angular Displacement ◽

State Space Model ◽

Experimental Results ◽

Magnetic Bearings ◽

Small Scale ◽

Linear Component ◽

Mode Control ◽

Physical Sensors

A sliding mode control algorithm has been designed for control of a balance beam on two symmetric magnetic bearings. A state space model of the system is developed and the controller is separated into a linear and non-linear component. A reaching condition to bring the system to the sliding surface is developed and a continuous function boundary layer approach is evaluated to avoid chattering. Previous works have discussed theoretical and experimental sliding mode control with physical sensors. This paper represents the first use of a simple envelope filter for sliding mode self sensing. The system simulation demonstrates arrival at the hyperplane surface within 0.003 sec and converges to the zero angular displacement value within 0.008 sec. Experimental results produced system convergence to zero angular displacement within approximately 0.35 sec both for the case when an eddy current position sensor was used and the case when system self sensing was employed. Some small scale chatter was observed in the experimental results with a peak to peak magnitude of approximately 3 times larger in the self-sensing case as compared to the case with a physical sensor.

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Sliding Mode Control of a Rigid Rotor via Magnetic Bearings

13th Biennial Conference on Mechanical Vibration and Noise: Modal Analysis, Modeling, Diagnostics, and Control — Analytical and Experimental ◽

10.1115/detc1991-0387 ◽

1991 ◽

Author(s):

A. Sinha ◽

K. L. Mease ◽

K. W. Wang

Keyword(s):

Sliding Mode Control ◽

Sliding Mode ◽

Magnetic Bearings ◽

Control Law ◽

Rigid Rotor ◽

Coil Current ◽

Analytical Technique ◽

Mode Control ◽

Transient Disturbances ◽

External Forces

Abstract This paper deals with the sliding mode control of a rigid rotor supported by radial magnetic bearings. First, the control law is developed to be robust to external forces caused by the rotor unbalance and transient disturbances. This control law is then discretized for its implementation on a digital computer. Three methods are presented to determine the required coil current for each magnet. Next, an analytical technique has been developed to calculate the steady state amplitudes of the digital closed-loop system. Lastly, results from this analytical technique and numerical simulations are presented for the rotor operating at 30,000 rpm.

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