A New Hybrid Intelligent Fractional Order Proportional Double Derivative + Integral (FOPDD+I) Controller with ANFIS Simulated on Automatic Voltage Regulator System

(1) Abdullah Fadhil Mohammed Mail (Mustansiriyah University, Iraq)
(2) Hamzah M. Marhoon Mail (Al-Nahrain University, Iraq)
(3) * Noorulden Basil Mail (Mustansiriyah University, Iraq)
(4) Alfian Ma'arif Mail (Universitas Ahmad Dahlan, Indonesia)
*corresponding author

Abstract


In the dynamic realm of Automatic Voltage Regulation (AVR), the pursuit of robust transient response, adaptability, and stability drives researchers to explore novel avenues. This study introduces a groundbreaking approach—the Hybrid Intelligent Fractional Order Proportional Derivative2+Integral (FOPDD+I) controller—leveraging the power of the Adaptive Neuro-Fuzzy Inference System (ANFIS). The novelty lies in the comparative analysis of three scenarios: the AVR system without a controller, with a traditional PID controller, and with the proposed FOPDD+I-based ANFIS. By fusing ANFIS with a hybrid controller, we forge a unique path toward optimized AVR performance. The hybrid controller, based on FOPID (Fractional Order Proportional Integral Derivative) principles, synergizes individual integral factors with ANFIS, augmenting them with a doubled derivative factor. The ANFIS design employs a hybrid optimization learning scheme to fine-tune the Fuzzy Inference System (FIS) parameters governing the AVR system. To train the fuzzy inference system, we utilize a Proportional-Integral-Derivative (PID) simulation of the entire AVR system, capturing essential data over approximately seven seconds. Our simulations, conducted in MATLAB/Simulink, reveal impressive performance metrics for the FOPDD+I-ANFIS approach: Rise time: 1.1162 seconds, settling time: 0.5531 seconds, Overshoot: 0%, Steady-state error: 0.00272, These results position our novel approach favorably against existing works, underscoring the transformative potential of intelligent creation in AVR control.

Keywords


Automatic Voltage Regulation; Adaptive Neuro-Fuzzy Systems; FOPID Controller; PID Controller; Hybrid Control Systems

   

DOI

https://doi.org/10.31763/ijrcs.v4i2.1336
      

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10.31763/ijrcs.v4i2.1336 Abstract views : 395 | PDF views : 161

   

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[1] N. Kanagaraj, “An Adaptive Neuro-Fuzzy Inference System to Improve Fractional Order Controller Performance,” Intelligent Automation & Soft Computing, vol. 35, no. 3, pp. 3213-3226, 2023, https://doi.org/10.32604/iasc.2023.029901.

[2] N. B. Mohamadwasel, “Rider Optimization Algorithm implemented on the AVR Control System using MATLAB with FOPID,” IOP Conference Series: Materials Science and Engineering, vol. 928, no. 3, p. 032017, 2020, https://doi.org/10.1088/1757-899X/928/3/032017.

[3] M. J. Lawal, S. U. Hussein, B. Saka, S. U. Abubakar, and I. S. Attah, “Intelligent fuzzy-based automatic voltage regulator with hybrid optimization learning method,” Scientific African, vol. 19, p. e01573, 2023, https://doi.org/10.1016/j.sciaf.2023.e01573.

[4] Ö. Can, C. Andiç, S. Ekinci, and D. Izci, “Enhancing transient response performance of automatic voltage regulator system by using a novel control design strategy,” Electrical Engineering, vol. 105, no. 4, pp. 1993–2005, 2023, https://doi.org/10.1007/s00202-023-01777-8.

[5] A. Jegatheesh, V. Thiyagarajan, N. B. M. Selvan, and M. D. Raj, “Voltage regulation and stability enhancement in AVR system based on SOA-FOPID controller,” Journal of Electrical Engineering & Technology, vol. 19, no. 1, pp. 31–44, 2024, https://doi.org/10.1007/s42835-023-01507-x.

[6] O. A. M. Omar, M. I. Marei, and M. A. Attia, “Comparative Study of AVR Control Systems Considering a Novel Optimized PID-Based Model Reference Fractional Adaptive Controller,” Energies, vol. 16, no. 2, p. 830, 2023, https://doi.org/10.3390/en16020830.

[7] A. Ali, D. B. Bantyirga, and D. G. Biru, “A Review on Design and Control of AGC and AVR for Multi-Area Interconnected Power system,” International Journal of Scientific & Engineering Research, vol. 13, no. 2, pp. 317–325, 2022, https://www.ijser.org/onlineResearchPaperViewer.aspx?A-Review-on-Design-and-Control-of-AGC-and-AVR-for-Multi-Area-Interconnected-Power-system.pdf.

[8] N. Basil and H. M. Marhoon, “Towards evaluation of the PID criteria based UAVs observation and tracking head within resizable selection by COA algorithm,” Results in Control and Optimization, vol. 12, p. 100279, 2023, https://doi.org/10.1016/j.rico.2023.100279.

[9] M. M. Hoque, “Design, implementation and performance study of programmable automatic voltage regulator,” Journal of Electrical Systems, vol. 10, no. 4, pp. 472–483, 2014, https://www.proquest.com/docview/2274273042?pq-origsite=gscholar&fromopenview=true&sourcetype=Scholarly%20Journals.

[10] N. B. Mohamadwasel and S. Kurnaz, “Implementation of the parallel robot using FOPID with fuzzy type-2 in use social spider optimization algorithm,” Applied Nanoscience, pp. 1–11, 2021, https://doi.org/10.1007/s13204-021-02034-9.

[11] R. J. Widlar, “New developments in IC voltage regulators,” IEEE Journal of Solid-State Circuits, vol. 6, no. 1, pp. 2-7, 1971, https://doi.org/10.1109/JSSC.1971.1050151.

[12] N. Basil, H. M. Marhoon, M. R. Hayal, E. E. Elsayed, I. Nurhidayat, and M. A. Shah, “Black-hole optimisation algorithm with FOPID-based automation intelligence photovoltaic system for voltage and power issues,” Australian Journal of Electrical and Electronics Engineering, pp. 1-13, 2024, https://doi.org/10.1080/1448837X.2024.2308415.

[13] M. J. Blondin, P. Sicard, and P. M. Pardalos, “Controller Tuning Approach with robustness, stability and dynamic criteria for the original AVR System,” Mathematics and Computers in Simulation, vol. 163, pp. 168–182, 2019, https://doi.org/10.1016/j.matcom.2019.02.019.

[14] D. Al-Fraihat, M. Joy, J. Sinclair, “Evaluating E-learning systems success: An empirical study,” Computers in human behavior, vol. 102, pp. 67-86, 2020, https://doi.org/10.1016/j.chb.2019.08.004.

[15] N. Basil, M. E. Alqaysi, M. Deveci, A. S. Albahri, O. S. Albahri, and A. H. Alamoodi, “Evaluation of autonomous underwater vehicle motion trajectory optimization algorithms,” Knowledge-Based Systems, vol. 276, p. 110722, 2023, https://doi.org/10.1016/j.knosys.2023.110722.

[16] K. Hirayama et al., “Digital AVR application to power plants,” IEEE Transactions on Energy Conversion, vol. 8, no. 4, pp. 602-609, 1993, https://doi.org/10.1109/60.260970.

[17] N. Basil, H. M. Marhoon, and A. R. Ibrahim, “A new thrust vector-controlled rocket based on JOA using MCDA,” Measurement: Sensors, vol. 26, p. 100672, 2023, https://doi.org/10.1016/j.measen.2023.100672.

[18] F. S. Raheem and N. Basil, “Automation intelligence photovoltaic system for power and voltage issues based on Black Hole Optimization algorithm with FOPID,” Measurement: Sensors, vol. 25, p. 100640, 2023, https://doi.org/10.1016/j.measen.2022.100640.

[19] H. M. Marhoon, A. I. Alanssari, and N. Basil, “Design and Implementation of an Intelligent Safety and Security System for Vehicles Based on GSM Communication and IoT Network for Real-Time Tracking,” Journal of Robotics and Control, vol. 4, no. 5, pp. 708-718, 2023, https://doi.org/10.18196/jrc.v4i5.19652.

[20] N. Basil and A. Ma’arif, “NB Theory with Bargaining Problem: A New Theory,” International Journal of Robotics and Control Systems, vol. 2, no. 3, pp. 606-609, 2022, https://doi.org/10.31763/ijrcs.v2i3.798.

[21] N. Basil, H. M. Marhoon, S. Gokulakrishnan, and D. Buddhi, “Jaya optimization algorithm implemented on a new novel design of 6-DOF AUV body: a case study,” Multimedia Tools and Applications, pp. 1–26, 2022, https://doi.org/10.1007/s11042-022-14293-x.

[22] H. M. Marhoon, A. R. Ibrahim, and N. Basil, “Enhancement of Electro Hydraulic Position Servo Control System Utilising Ant Lion Optimiser,” International Journal of Nonlinear Analysis and Applications, vol. 12, no. 2, pp. 2453–2461, 2021, https://doi.org/10.22075/ijnaa.2021.5387.

[23] A. R. Ibrahim, N. Basil, and M. I. Mahdi, “Implementation enhancement of AVR control system within optimization techniques,” International Journal of Nonlinear Analysis and Applications, vol. 12, no. 2, pp. 2021–2027, 2021, https://doi.org/10.22075/ijnaa.2021.5339.

[24] H. M. Marhoon, N. Basil, and A. Ma’arif, “Exploring Blockchain Data Analysis and Its Communications Architecture: Achievements, Challenges, and Future Directions: A Review Article,” International Journal of Robotics and Control Systems, vol. 3, no. 3, pp. 609-626, 2023, https://doi.org/10.31763/ijrcs.v3i3.1100.

[25] N. Basil and H. M. Marhoon, “Selection and evaluation of FOPID criteria for the X-15 adaptive flight control system (AFCS) via Lyapunov candidates: Optimizing trade-offs and critical values using optimization algorithms,” e-Prime - Advances in Electrical Engineering, Electronics and Energy, vol. 6, p. 100305, 2023, https://doi.org/10.1016/j.prime.2023.100305.

[26] A. H. Mukalaf, H. M. Marhoon, I. Suwarno, and A. Ma’arif, “Design and Manufacturing of Smart Car Security System with IoT-Based Real-Time Tracking,” International Journal of Intelligent Systems and Applications in Engineering, vol. 11, no. 6s, pp. 745–752, 2023, https://www.ijisae.org/index.php/IJISAE/article/view/2909.

[27] T. M. Salman, H. N. Abdullah, H. M. Marhoon, and Z. A. Karam, “Design and Fabrication of a Smart Monitoring System for Liquefied Petroleum Gas-Operated Cars Based on Global System Mobile,” International Journal of Online and Biomedical Engineering, vol. 19, no. 11, pp. 96-111, 2023, https://doi.org/10.3991/ijoe.v19i11.41937.

[28] M. Murad, O. Bayat, and H. M. Marhoon, “Design and implementation of a smart home system with two levels of security based on IoT technology,” The Indonesian Journal of Electrical Engineering and Computer Science, vol. 21, no. 1, pp. 546-557, 2021, http://doi.org/10.11591/ijeecs.v21.i1.pp546-557.

[29] I. A. Taha and H. M. Marhoon, “Implementation of controlled robot for fire detection and extinguish to closed areas based on Arduino,” TELKOMNIKA Telecommunication, Computing, Electronics and Control, vol. 16, no. 2, pp. 654-664, 2018, http://doi.org/10.12928/telkomnika.v16i2.8197.

[30] H. M. Marhoon, N. Basil, and A. F. Mohammed, “Medical Defense Nanorobots (MDNRs): a new evaluation and selection of controller criteria for improved disease diagnosis and patient safety using NARMA(L2)-FOP + D(ANFIS)µ–Iλ-based Archimedes Optimization Algorithm,” International Journal of Information Technology, pp. 1-14, 2024, https://doi.org/10.1007/s41870-023-01724-7.

[31] M. N. Hussain, M. R. Zaman, M. A. Halim, M. S. Ali, and M. Y. A. K. Khan, “A Comprehensive Review of Renewable and Sustainable Energy Sources with Solar Photovoltaic Electricity Advancement in Bangladesh,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 1–7, 2024, https://doi.org/10.59247/csol.v2i1.59.

[32] N. Ramadhani, A. Ma’arif, and A. Çakan, “Implementation of PID Control for Angular Position Control of Dynamixel Servo Motor,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 8–14, 2024, https://doi.org/10.59247/csol.v2i1.40.

[33] M. N. Hussain, M. A. Halim, M. Y. A. Khan, S. Ibrahim, and A. Haque, “A Comprehensive Review on Techniques and Challenges of Energy Harvesting from Distributed Renewable Energy Sources for Wireless Sensor Networks,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 15–22, 2024, https://doi.org/10.59247/csol.v2i1.60.

[34] M. S. Ali, A. Sharma, T. A. Joy, and M. A. Halim, “A Comprehensive Review of Integrated Energy Management for Future Smart Energy System,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 43–51, 2024, https://doi.org/10.59247/csol.v2i1.77.

[35] M. R. Zaman, M. R. Hoque, and M. S. Ali, “An Intensive Analysis of the Energy Management System for Hybrid Electric Vehicles and Electric Drive System Powered by Renewable Energy Sources,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 60–67, 2024, https://doi.org/10.59247/csol.v2i1.75.

[36] M. R. Zaman, M. A. Halim, M. Y. A. Khan, S. Ibrahim, and A. Haque, “Integrating Micro and Smart Grid-Based Renewable Energy Sources with the National Grid in Bangladesh-A Case Study,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 75–81, 2024, https://doi.org/10.59247/csol.v2i1.76.

[37] M. Y. A. Khan, “A Review on Nanotechnology and Its Impact with Challenges on Electrical Engineering,” Control Systems and Optimization Letters, vol. 2, no. 1, pp. 82-89, 2024, https://doi.org/10.59247/csol.v2i1.78.

[38] E. Alfian, A. Ma’arif, P. Chotikunnan, and A. J. Abougarair, “Optimizing Light Intensity with PID Control,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 124-131, 2023, https://doi.org/10.59247/csol.v1i3.38.

[39] F. Furizal, S. A. Akbar, A. Yudhana, and M. Kusno, “Analysis of the Influence of Number of Segments on Similarity Level in Wound Image Segmentation Using K-Means Clustering Algorithm,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 132–138, 2023, https://doi.org/10.59247/csol.v1i3.33.

[40] M. A. Yulianto and A. Fadlil, “Wood Type Identification System using Naive Bayes Classification,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 139-143, 2023, https://doi.org/10.59247/csol.v1i3.52.

[41] Z. Salsabila and N. S. Widodo, “Implementation of Behavior Based Robotics on Hexapod Legged Robot Based on Room Mapping,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 144–150, 2023, https://doi.org/10.59247/csol.v1i3.55.

[42] A. Adnan and E. H. Karam, “Optimal Improved PID Controller with GOA Algorithm for Single Link Human Leg Robot,” Journal of Engineering and Sustainable Development, vol. 26, no. 2, pp. 103–110, 2022, https://doi.org/10.31272/jeasd.26.2.10.

[43] S. C. Ariadita and A. Ma’arif, “Development of an IoT-Monitoring and Control System for Solar Panel Surface Temperature Regulation Utilizing Water-Cooling Techniques,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 174–180, 2023, https://doi.org/10.59247/csol.v1i3.44.

[44] O. R. Khalaf and A. A. Almukhtar, “Design and Implementation of Arduino-Based Sterilization Robot,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 181–185, 2023, https://doi.org/10.59247/csol.v1i3.62.

[45] A. Haque, M. N. Hussain, M. S. Ali, M. Y. A. Khan, and M. A. Halim, “Technical and Economic Challenges and Future Prospects of a Smart Grid-A Case Study,” Control Systems and Optimization Letters, vol. 1, no. 3, pp. 186–193, 2023, https://doi.org/10.59247/csol.v1i3.57.

[46] A. A. Cahya and R. D. Puriyanto, “The Design of Rice Milling and Screening Systems Uses the DC Motor PID Method,” Control Systems and Optimization Letters, vol. 1, no. 1, pp. 1–6, 2023, https://doi.org/10.59247/csol.v1i1.2.

[47] A. F. Mohammed et al., “Selection and Evaluation of Robotic Arm based Conveyor Belts (RACBs) Motions: NARMA (L2)-FO (ANFIS) PD-I based Jaya Optimization Algorithm,” International Journal of Robotics and Control Systems, vol. 4, no. 1, pp. 262–290, 2024, https://doi.org/10.31763/ijrcs.v4i1.1243.

[48] R. Rikwan and A. Ma’arif, “DC Motor Rotary Speed Control with Arduino UNO Based PID Control,” Control Systems and Optimization Letters, vol. 1, no. 1, pp. 27–31, 2023, https://doi.org/10.59247/csol.v1i1.6.

[49] M. A. Ali, A. H. Miry, and T. M. Salman, “Implementation of Artificial Intelligence in Controlling the Temperature of Industrial Panel,” Journal of Engineering and Sustainable Development, vol. 25, no. 1, pp. 92–99, 2021, https://doi.org/10.31272/jeasd.25.1.8.

[50] G. D. Eddine, N. Abdellatif, and S. Abdelkader, “Power System Stabilizer Design using Genetic Algorithms and Particle Swarm Optimization,” Control Systems and Optimization Letters, vol. 1, no. 1, pp. 52–57, 2023, https://doi.org/10.59247/csol.v1i1.15.

[51] M. S. Amin et al., “Development of AVR controller performance using exponential distribution and transit search optimization techniques,” Frontiers in Energy Research, vol. 12, p. 1356978, 2024, https://doi.org/10.3389/fenrg.2024.1356978.

[52] P. Gopi, S. V. Reddy, M. Bajaj, I. Zaitsev, and L. Prokop, “Performance and robustness analysis of V-Tiger PID controller for automatic voltage regulator,” Scientific Reports, vol. 14, no. 1, p. 7867, 2024, https://doi.org/10.1038/s41598-024-58481-1.

[53] G. Saravanan, K. P. Suresh, and C. Pazhanimuthu, “Artificial Rabbits Optimization Algorithm based Tuning of PID Controller Parameters for Improving Voltage Profile in AVR System Using IoT,” e-Prime - Advances in Electrical Engineering, Electronics and Energy, vol. 8, p. 100523, 2024, https://doi.org/10.1016/j.prime.2024.100523.

[54] A. K. Sahoo, A. K. Sahoo, S. Nayak, and S. K. Kar, “Load Frequency and Voltage Control of Two Area Interconnected Power System using Covariance Matrix Adaptation Evolution Strategy based Aquila Optimization optimized Fast Fuzzy-Fractional Order Tilt Integral Derivative Controller,” e-Prime - Advances in Electrical Engineering, Electronics and Energy, vol. 8, p. 100488, 2024, https://doi.org/10.1016/j.prime.2024.100488.

[55] D. Izci et al., “Refined sinh cosh optimizer tuned controller design for enhanced stability of automatic voltage regulation,” Electrical Engineering, pp. 1-14, 2024, https://doi.org/10.1007/s00202-024-02344-5.

[56] B. Çavdar, E. Şahin, and E. Sesli, “On the assessment of meta-heuristic algorithms for automatic voltage regulator system controller design: a standardization process,” Electrical Engineering, pp. 1-39, 2024, https://doi.org/10.1007/s00202-024-02314-x.

[57] P. K. Pathak, M. Jain, and A. K. Yadav, “Metaheuristic-assisted advanced control approach for time delayed unstable automatic voltage regulator,” Electric Power Components and Systems, vol. 52, no. 2, pp. 173-188, 2024, https://doi.org/10.1080/15325008.2023.2215793.

[58] M. Č. Bošković, T. B. Šekara, D. M. Stojić, and M. R. Rapaić, “Novel tuning rules for PIDC controllers in automatic voltage regulation systems under constraints on robustness and sensitivity to measurement noise,” International Journal of Electrical Power & Energy Systems, vol. 157, p. 109791, 2024, https://doi.org/10.1016/j.ijepes.2024.109791.

[59] N. D. Chetty, G. Sharma, R. Gandhi and E. Çelik, “A Novel Salp Swarm Optimization Oriented 3-DOF-PIDA Controller Design for Automatic Voltage Regulator System,” IEEE Access, vol. 12, pp. 20181-20196, 2024, https://doi.org/10.1109/ACCESS.2024.3360300.

[60] H. Shukla and M. Raju, “Combined frequency and voltage regulation in an interconnected power system using fractional order cascade controller considering renewable energy sources, electric vehicles and ultra capacitor,” Journal of Energy Storage, vol. 84, p. 110875, 2024, https://doi.org/10.1016/j.est.2024.110875.


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International Journal of Robotics and Control Systems
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