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Research Papers

Comparative Dynamic Control of SynRM Servodrive Continuously Variable Transmission System Using Blend Amend Recurrent Gegenbauer-Functional-Expansions Neural Network Control and Altered Artificial Bee Colony Optimization

[+] Author and Article Information
Chih-Hong Lin

Department of Electrical Engineering,
National United University,
No. 2, Lienda, Nan-Shi Li,
Miaoli 36063, Taiwan, China
e-mail: jhlin@nuu.edu.tw

Contributed by the Dynamic Systems Division of ASME for publication in the JOURNAL OF DYNAMIC SYSTEMS, MEASUREMENT, AND CONTROL. Manuscript received December 17, 2015; final manuscript received November 22, 2016; published online March 13, 2017. Assoc. Editor: Heikki Handroos.

J. Dyn. Sys., Meas., Control 139(5), 051007 (Mar 13, 2017) (13 pages) Paper No: DS-15-1637; doi: 10.1115/1.4035349 History: Received December 17, 2015; Revised November 22, 2016

In comparison control performance with more complex and nonlinear control methods, the classical linear controller is poor because of the nonlinear uncertainty action that the continuously variable transmission (CVT) system is operated by the synchronous reluctance motor (SynRM). Owing to good learning skill online, a blend amended recurrent Gegenbauer-functional-expansions neural network (NN) control system was developed to return to the nonlinear uncertainties behavior. The blend amended recurrent Gegenbauer-functional-expansions NN control system can fulfill overseer control, amended recurrent Gegenbauer-functional-expansions NN control with an adaptive dharma, and recompensed control with a reckoned dharma. In addition, according to the Lyapunov stability theorem, the adaptive dharma in the amended recurrent Gegenbauer-functional-expansions NN and the reckoned dharma of the recompensed controller are established. Furthermore, an altered artificial bee colony optimization (ABCO) yields two varied learning rates for two parameters to find two optimal values, which helped improve convergence. Finally, the experimental results with various comparisons are demonstrated to confirm that the proposed control system can result in better control performance.

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Figures

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Fig. 1

Schematic diagram of the CVT system driven by the SynRM: (a) geometrical description of the CVT system and (b) geometrical description of the SynRM-wheel connection via the CVT system

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Fig. 2

Block diagram of the SynRM servodrive CVT system

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Fig. 3

Block diagram of the proposed blend amended recurrent Gegenbauer-functional-expansions NN control system using altered ABCO

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Fig. 4

Structure of the amended recurrent Gegenbauer-functional-expansions NN

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Fig. 5

Flowchart of the executing program by using the DSP control system

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Fig. 6

Experimental results for the SynRM servodrive CVT system obtained using the Laguerre orthogonal polynomial NN controller[19,20] under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s): (a) speed response of the command speed ωc*, desired speed ωc, and measured speed ω1 and (b) speed error ec response

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Fig. 7

Experimental results for the SynRM servodrive CVT system obtained using the Laguerre orthogonal polynomial NN controller [19,20] under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s): (a) speed response of the command speed ωc*, desired speed ωc, and measured speed ω1 and (b) speed error ec response

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Fig. 8

Experimental results of the SynRM servodrive CVT system obtained using the Laguerre orthogonal polynomial NN controller [19,20]: (a) response of electromagnetic torque Ta under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s) and (b) response of electromagnetic torque Ta under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s)

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Fig. 9

Experimental results for the SynRM servodrive CVT system obtained using the Chebyshev orthogonal polynomial NN controller [21] under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s): (a) speed response of the command speed ωc*, desired speed ωc, and measured speed ω1 and (b) speed error ec response

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Fig. 10

Experimental results for the SynRM servodrive CVT system obtained using the Chebyshev orthogonal polynomial NN controller [21] under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s): (a) speed response of the command speed ωc*, desired speed ωc, and measured speed ω1 and (b) speed error ec response

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Fig. 11

Experimental results of the SynRM servodrive CVT system obtained using the Chebyshev orthogonal polynomial NN controller [21]: (a) response of electromagnetic torque Ta under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s) and (b) response of electromagnetic torque Ta under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s)

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Fig. 12

Experimental results for the SynRM servodrive CVT system obtained using the blend amended recurrent Gegenbauer-functional-expansions NN control system using altered ABCO under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s): (a) speed response of the command speed ωc*, desired speed ωc, and measured speed ω1 and (b) speed error ec response

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Fig. 13

Experimental results for the SynRM servodrive CVT system obtained using the blend amended recurrent Gegenbauer-functional-expansions NN control system using altered ABCO under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s): (a) speed response of the command speed ωc*, desired speed ωc, and measured speed ω1 and (b) speed error ec response

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Fig. 14

Experimental results of the SynRM servodrive CVT system obtained using the blend amended recurrent Gegenbauer-functional-expansions NN control system using altered ABCO: (a) response of electromagnetic torque Ta under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s) and (b) response of electromagnetic torque Ta under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s)

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Fig. 15

Experimental results for the amended recurrent Gegenbauer-functional-expansions NN obtained using altered ABCO under one time combined parameter variations and combined nonlinear extrinsic disturbances T1l=ΔT1+Tu1 case at 1500 r/min (157 rad/s): (a) the convergence response of learning rate δ1 and (b) the convergence response of learning rate δ2

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Fig. 16

Experimental results for the amended recurrent Gegenbauer-functional-expansions NN obtained using altered ABCO under double combined parameter variations and combined nonlinear extrinsic disturbances T1l=2ΔT1+Tu1 case at 3000 r/min (314 rad/s): (a) the convergence response of learning rate δ1 and (b) the convergence response of learning rate δ2

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Fig. 17

Experimental results under adding load torque disturbance and combined nonlinear extrinsic disturbances T1l=2Nm(Ta1)+Tu1 at 3000 r/min (314 rad/s) command speed: (a) speed-adjusted response of the command speed ωc* and the measured speed ω1 when the Laguerre orthogonal polynomial NN controller [19,20] was used and (b) response of the measured current ia1 in phase a1 when the Laguerre orthogonal polynomial NN controller [19,20] was used

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Fig. 18

Experimental results under adding load torque disturbance and combined nonlinear extrinsic disturbances T1l=2Nm(Ta1)+Tu1 at 3000 r/min (314 rad/s) command speed: (a) speed-adjusted response of the command rotor ωc* and the measured speed ω1 when the Chebyshev orthogonal polynomial NN controller [21] was used and (b) response of the measured current ia1 in phase a1 when the Chebyshev orthogonal polynomial NN controller [21] was used

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Fig. 19

Experimental results under adding load torque disturbance and combined nonlinear extrinsic disturbances T1l=2Nm(Ta1)+Tu1 at 3000 r/min (314 rad/s) command speed: (a) speed-adjusted response of the command speed ωc* and the measured speed ω1 when the blend amended recurrent Gegenbauer-functional-expansions NN control system using altered ABCO was used and (b) response of the measured current ia1 in phase a1 when the blend amended recurrent Gegenbauer-functional-expansions NN control system using altered ABCO was used

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