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Analysis of grey wolf optimizer based fractional order PID controller in speed control of DC motor

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Abstract

The present work deals with comparative and robustness analysis of grey wolf optimization (GWO) based fractional order proportional–integral derivative (FOPID) controller for speed control of DC motor. The GWO is a meta-heuristic algorithm inspired from the social hunting behaviour of grey wolves as search agents. The GWO algorithm maintains a proper balance between exploration and exploitation processes. The integral of time multiplied absolute error (ITAE) has been taken as an objective function for obtaining the parameters of FOPID controller by GWO. Comparison of proposed GWO/FOPID approach with other existing techniques has also been shown along with GWO/PID. It has been observed that proposed approach with ITAE as an objective function gives less settling, rise times and comparable overshoot in comparison to existing approaches in the literature. The robustness analysis of GWO/FOPID approach has also been carried out with variations in the parameters of DC motor.

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Abbreviations

R a :

Armature resistance (Ω)

L a :

Inductance of armature winding (H)

ω:

Angular speed of motor shaft (rad/s)

J :

Equivalent moment of inertia of motor and load referred to motor shaft (kg m2)

D :

Equivalent friction coefficient of motor and load referred to motor shaft (Nm*s/rad)

K:

Motor torque constant

Kb :

Back EMF constant

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Acknowledgements

The author would like to thank Nuclear Power Corporation India Ltd, Department of Atomic Energy, Rawatbhata Rajasthan site for providing the lab and simulation facilities to complete this work.

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Authors and Affiliations

  1. Department of Electronics Engineering, Rajasthan Technical University, Kota, 324 010, India

    Jeetendra Agarwal, Girish Parmar & Rajeev Gupta

  2. Department of Instrumentation and Control Engineering, Dr. B. R. Ambedkar National Institute of Technology, Jalandhar, Panjab, 144011, India

    Afzal Sikander

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  1. Jeetendra Agarwal
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  2. Girish Parmar
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  3. Rajeev Gupta
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  4. Afzal Sikander
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Correspondence to Jeetendra Agarwal.

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Agarwal, J., Parmar, G., Gupta, R. et al. Analysis of grey wolf optimizer based fractional order PID controller in speed control of DC motor. Microsyst Technol 24, 4997–5006 (2018). https://doi.org/10.1007/s00542-018-3920-4

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  • DOI: https://doi.org/10.1007/s00542-018-3920-4

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