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Research Papers

Fuzzy Generalized Predictive Control for Nonlinear Brushless Direct Current Motor

[+] Author and Article Information
Bin Wang, Ke Shi, Cheng Zhang

Department of Electrical Engineering,
Northwest A&F University,
Yangling 712100, China

Delan Zhu

Department of Electrical Engineering,
Northwest A&F University,
Yangling 712100, China
e-mail: dlzhu222@126.com

1Corresponding author.

Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 13, 2015; final manuscript received October 16, 2015; published online November 13, 2015. Assoc. Editor: Hiroshi Yabuno.

J. Comput. Nonlinear Dynam 11(4), 041004 (Nov 13, 2015) (7 pages) Paper No: CND-15-1129; doi: 10.1115/1.4031839 History: Received May 13, 2015; Revised October 16, 2015

In the study, a novel fuzzy generalized predictive control (GPC) scheme is proposed for the stability control of nonlinear brushless DC motor (BLDCM). First, the fuzzy predictive model of BLDCM is presented via Takagi–Sugeno fuzzy model. Then, based on the controlled autoregressive moving average (CARMA) model transformed by Takagi–Sugeno fuzzy model of BLDCM, a new fuzzy GPC scheme for the nonlinear BLDCM is designed by combining fuzzy techniques and GPC theory, and the rigorous mathematical derivation is given. Finally, numerical simulations are implemented to verify the effectiveness and superiority of the proposed scheme. It also provides reference for other nonlinear even chaos control in actual project.

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Figures

Grahic Jump Location
Fig. 1

Phase trajectory and time domain of BLDCM (1): (a) x1−x2−x3, (b) x1−t, (c) x2−t, and (d) x3−t

Grahic Jump Location
Fig. 2

Triangle membership function

Grahic Jump Location
Fig. 3

The block-diagram of GPC

Grahic Jump Location
Fig. 4

State trajectories of the controlled BLDCM (19): (a) x1−t, (b) x2−t, and (c) x3−t

Grahic Jump Location
Fig. 5

Time domain of the controller applied in BLDCM (19): (a) u1−t, (b) u2−t, and (c) u3−t

Grahic Jump Location
Fig. 6

Time domain of BLDCM (19) with controller (5) in Ref. [27]: (a) x1−t ; (b) x2−t ; and (c) x3−t

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