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Research Papers

Dynamic Analysis and Control of a Permanent Magnet Synchronous Motor With External Perturbation

[+] Author and Article Information
Libiao Wang

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: wanglibiao@tzc.edu.cn

Jian Fan

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: fanjian@tzc.edu.cn

Zhengchu Wang

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: wangzc@tzc.edu.cn

Baishao Zhan

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: zbs115@tzc.edu.cn

Jun Li

College of Mechanical Engineering,
Taizhou University,
Taizhou 318000, China
e-mail: lijun@tzc.edu.cn

1Corresponding author.

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received August 7, 2014; final manuscript received September 22, 2015; published online October 20, 2015. Assoc. Editor: M. Porfiri.

J. Dyn. Sys., Meas., Control 138(1), 011003 (Oct 20, 2015) (7 pages) Paper No: DS-14-1318; doi: 10.1115/1.4031726 History: Received August 07, 2014; Revised September 22, 2015

Chaotic motion and chaos control of a permanent magnet synchronous motor (PMSM) are studied in this paper. The dynamics of chaotic PMSM with load vibration perturbation is presented and its complex dynamic characteristics are analyzed by using bifurcation diagrams, Lyapunov exponents, and phase portraits. Furthermore, an adaptive neural sliding mode control is addressed to suppress chaos oscillations for the PMSM. The neural network approximation is applied in the controller to emulate of the load perturbation. Simulation results show that the proposed control scheme can eliminate the chaos and make the system achieve stable states even with the existence of unknown load vibration disturbance.

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Figures

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Fig. 1

Bifurcation diagram of d-axis current versus f

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Fig. 2

Lyapunov exponent of the PMSM via f

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Fig. 3

Steady-state waveforms and trajectory when f = 0 Hz: (a) d-axis current, (b) q-axis current, (c) motor angular speed, and (d) phase space

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Fig. 4

Chaotic waveforms and trajectory when f = 0.2 Hz: (a) d-axis current, (b) q-axis current, (c) motor angular speed, and (d) phase space

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Fig. 5

Periodic waveforms and trajectory when f = 0.35 Hz: (a) d-axis current, (b) q-axis current, (c) motor angular speed, and (d) phase space

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Fig. 6

The structure of controller for PMSM

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Fig. 10

Estimation of load disturbance

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Fig. 11

The norms of weights for DRNN

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Fig. 9

Phase diagram of chaotic PMSM with the controller: (a) x2-x1 plane, (b) x3-x1 plane, and (c) x3-x2 plane

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Fig. 8

Phase diagram of chaotic PMSM without the controller: (a) x2-x1 plane, (b) x3-x1 plane, and (c) x3-x2 plane

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Fig. 7

State variables of chaotic PMSM with the controller active at t = 100 s: (a) d-axis current, (b) q-axis current, and (c) motor angular speed

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