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Fractional Order PID Controller Design for an AVR System Using Chaotic Yellow Saddle Goatfish Algorithm

Author

Listed:
  • Mihailo Micev

    (Faculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, Montenegro)

  • Martin Ćalasan

    (Faculty of Electrical Engineering, University of Montenegro, 81000 Podgorica, Montenegro)

  • Diego Oliva

    (Depto. De Ciencias Computacionales, Universidad de Guadalajara, CUCEI, Av. Revolucion 1500, Guadalajara, 44430 Jal, Mexico
    IN3-Computer Science Dept., Universitat Oberta de Catalunya, 08018 Castelldefels, Spain
    School of Computer Science & Robotics, Tomsk Polytechnic University, 634050 Tomsk, Russia)

Abstract

This paper presents a novel method for optimal tunning of a Fractional Order Proportional-Integral-Derivative (FOPID) controller for an Automatic Voltage Regulator (AVR) system. The presented method is based on the Yellow Saddle Goatfish Algorithm (YSGA), which is improved with Chaotic Logistic Maps. Additionally, a novel objective function for the optimization of the FOPID parameters is proposed. The performance of the obtained FOPID controller is verified by comparison with various FOPID controllers tuned by other metaheuristic algorithms. A comparative analysis is performed in terms of step response, frequency response, root locus, robustness test, and disturbance rejection ability. Results of the simulations undoubtedly show that the FOPID controller tuned with the proposed Chaotic Yellow Saddle Goatfish Algorithm (C-YSGA) outperforms FOPID controllers tuned by other algorithms, in all of the previously mentioned performance tests.

Suggested Citation

  • Mihailo Micev & Martin Ćalasan & Diego Oliva, 2020. "Fractional Order PID Controller Design for an AVR System Using Chaotic Yellow Saddle Goatfish Algorithm," Mathematics, MDPI, vol. 8(7), pages 1-22, July.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1182-:d:386381
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    References listed on IDEAS

    as
    1. Blondin, M.J. & Sicard, P. & Pardalos, P.M., 2019. "Controller Tuning Approach with robustness, stability and dynamic criteria for the original AVR System," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 163(C), pages 168-182.
    2. Ahmadi, Mohamadreza & Mojallali, Hamed, 2012. "Chaotic invasive weed optimization algorithm with application to parameter estimation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 45(9), pages 1108-1120.
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    Citations

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    Cited by:

    1. Mokhtar Aly & Emad A. Mohamed & Abdullah M. Noman & Emad M. Ahmed & Fayez F. M. El-Sousy & Masayuki Watanabe, 2023. "Optimized Non-Integer Load Frequency Control Scheme for Interconnected Microgrids in Remote Areas with High Renewable Energy and Electric Vehicle Penetrations," Mathematics, MDPI, vol. 11(9), pages 1-31, April.
    2. Abdulsamed Tabak, 2023. "Novel TI λ DND 2 N 2 Controller Application with Equilibrium Optimizer for Automatic Voltage Regulator," Sustainability, MDPI, vol. 15(15), pages 1-16, July.
    3. Emad A. Mohamed & Mokhtar Aly & Masayuki Watanabe, 2022. "New Tilt Fractional-Order Integral Derivative with Fractional Filter (TFOIDFF) Controller with Artificial Hummingbird Optimizer for LFC in Renewable Energy Power Grids," Mathematics, MDPI, vol. 10(16), pages 1-33, August.
    4. Abdelhakim Idir & Laurent Canale & Yassine Bensafia & Khatir Khettab, 2022. "Design and Robust Performance Analysis of Low-Order Approximation of Fractional PID Controller Based on an IABC Algorithm for an Automatic Voltage Regulator System," Energies, MDPI, vol. 15(23), pages 1-20, November.
    5. Hady H. Fayek & Eugen Rusu, 2022. "Novel Combined Load Frequency Control and Automatic Voltage Regulation of a 100% Sustainable Energy Interconnected Microgrids," Sustainability, MDPI, vol. 14(15), pages 1-16, August.
    6. Othman A. M. Omar & Mostafa I. Marei & Mahmoud A. Attia, 2023. "Comparative Study of AVR Control Systems Considering a Novel Optimized PID-Based Model Reference Fractional Adaptive Controller," Energies, MDPI, vol. 16(2), pages 1-19, January.
    7. Omer Saleem & Faisal Abbas & Jamshed Iqbal, 2023. "Complex Fractional-Order LQIR for Inverted-Pendulum-Type Robotic Mechanisms: Design and Experimental Validation," Mathematics, MDPI, vol. 11(4), pages 1-21, February.
    8. RamaKoteswara Rao Alla & Kandipati Rajani & Ravindranath Tagore Yadlapalli, 2023. "Design of FOPID controller for higher order MIMO systems using model order reduction," International Journal of System Assurance Engineering and Management, Springer;The Society for Reliability, Engineering Quality and Operations Management (SREQOM),India, and Division of Operation and Maintenance, Lulea University of Technology, Sweden, vol. 14(5), pages 1660-1670, October.

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