TY  - JOUR
T1  - FOPID Controller Design for a Buck Converter System Using a Novel Hybrid Cooperation Search Algorithm with Pattern Search for Parameter Tuning
AU  - Ersalı, Cihan
AU  - Hekimoğlu, Baran
PY  - 2023
DA  - December
DO  - 10.54287/gujsa.1357216
JF  - Gazi University Journal of Science Part A: Engineering and Innovation
JO  - GU J Sci, Part A
PB  - Gazi University
WT  - DergiPark
SN  - 2147-9542
SP  - 417
EP  - 441
VL  - 10
IS  - 4
LA  - en
AB  - This research introduces a novel metaheuristic algorithm, OCSAPS, representing an upgraded cooperation search algorithm (CSA) version. OCSAPS incorporates opposition-based learning (OBL) and pattern search (PS) algorithms. The proposed algorithm's application aims to develop a fractional order proportional-integral-derivative (FOPID) controller tailored for a buck converter system. The efficacy of the proposed algorithm is assessed by statistical boxplot and convergence response analyses. Furthermore, the performance of the OCSAPS-based FOPID-controlled buck converter system is benchmarked against CSA, Harris hawk optimization (HHO), and genetic algorithm (GA). This comparative analysis encompasses transient and frequency responses, performance indices, and robustness analysis. The outcomes of this comparison highlight the distinctive advantages of the proposed approach-based system. Moreover, the proposed approach's performance was compared with six other approaches used to control buck converter systems similarly regarding both time and frequency domain responses. Overall, the findings underscore the efficacy of the OCSAPS algorithm as a robust solution for designing FOPID controllers in buck converter systems.
KW  - FOPID Controller
KW  - Buck Converter
KW  - Cooperation Search Algorithm
KW  - Pattern Search
KW  - Opposition-Based Learning
CR  - Al-Majidi, S. D., Abbod, M. F., & Al-Raweshidy H. S. (2019). Design of an Efficient Maximum Power Point Tracker Based on ANFIS Using an Experimental Photovoltaic System Data. Electronics, 8(8), 858. https://www.doi.org/10.3390/electronics8080858
CR  - Boudjehem, B., & Boudjehem, D. (2016). Fractional PID Controller Design Based on Minimizing Performance indices. IFAC-PapersOnLine, 49(9), 164-168. https://www.doi.org/10.1016/j.ifacol.2016.07.522
CR  - Cech, M., & Schlegel, M. (2013, February 25-28). Generalized robust stability regions for fractional PID controllers. In: Proceedings of the 2013 IEEE International Conference on Industrial Technology (ICIT), (pp. 76-81). https://www.doi.org/10.1109/ICIT.2013.6505651
CR  - Chevalier, A., Francis, C., Copot, C., Ionescu, C. M., & Keyser, R. D. (2019). Fractional-order PID design: Towards transition from state-of-art to state-of-use. ISA Transactions, 84, 178-186. https://www.doi.org/10.1016/j.isatra.2018.09.017
CR  - Das, S., Pan, I., Das, S., & Gupta, A. (2012). A novel fractional order fuzzy PID controller and its optimal time domain tuning based on integral performance indices. Engineering Applications of Artificial Intelligence, 25(2), 430-442. https://www.doi.org/10.1016/j.engappai.2011.10.004
CR  - Dastjerdi, A. A., Vinagre, B. M., Chen, Y. Q., & HosseinNia, S. H. (2019). Linear fractional order controllers; A survey in the frequency domain. Annual Reviews in Control, 47, 51-70. https://www.doi.org/10.1016/j.arcontrol.2019.03.008
CR  - Demir, M. H., & Demirok, M. (2023). Designs of Particle-Swarm-Optimization-Based Intelligent PID Controllers and DC/DC Buck Converters for PEM Fuel-Cell-Powered Four-Wheeled Automated Guided Vehicle. Applied Sciences, 13(5), 2919. https://www.doi.org/10.3390/app13052919
CR  - Dolai, S. K., Mondal, A., & Sarkar, P. (2022). Discretization of Fractional Order Operator in Delta Domain. Gazi University Journal of Science Part A: Engineering and Innovation, 9(4), 401-420. https://www.doi.org/10.54287/gujsa.1167156
CR  - Erickson, R. W., & Maksimović, D. (2000). Fundamentals of Power Electronics (Second Edition). Springer.
CR  - Eshaghi, S., & Tavazoei, M. S. (2023). Finiteness conditions for performance indices in generalized fractional-order systems defined based on the regularized Prabhakar derivative. Communications in Nonlinear Science and Numerical Simulation, 117, 106979. https://www.doi.org/10.1016/j.cnsns.2022.106979
CR  - Feng, Z., Niu, W., & Liu, S. (2021). Cooperation Search Algorithm: A Novel Metaheuristic Evolutionary Intelligence Algorithm for Numerical Optimization and Engineering Optimization Problems. Applied Soft Computing, 98, 106734. https://www.doi.org/10.1016/j.asoc.2020.106734
CR  - Feng, Z. K., Shi, P. F., Yang, T., Niu, W. J., Zhou, J. Z., & Cheng, C. T. (2022). Parallel cooperation search algorithm and artificial intelligence method for streamflow time series forecasting. Journal of Hydrology, 606, 127434. https://www.doi.org/10.1016/j.jhydrol.2022.127434
CR  - Gaing, Z. L. (2004). A Particle Swarm Optimization Approach for Optimum Design of PID Controller in AVR System. IEEE Transactions on Energy Conversion, 19(2), 384-391. https://www.doi.org/10.1109/TEC.2003.821821
CR  - Hekimoğlu, B. (2019). Optimal Tuning of Fractional Order PID Controller for DC Motor Speed Control via Chaotic Atom Search Optimization Algorithm. IEEE Access, 7, 38100-38114. https://www.doi.org/10.1109/ACCESS.2019.2905961
CR  - Hekimoğlu, B. (2023). Determination of AVR System PID Controller Parameters Using Improved Variants of Reptile Search Algorithm and a Novel Objective Function. Energy Engineering, 120(7), 1515-1540. https://www.doi.org/10.32604/ee.2023.029024
CR  - Hekimoğlu, B., & Ekinci, S. (2020). Optimally Designed PID Controller for A DC-DC Buck Converter via A Hybrid Whale Optimization Algorithm with Simulated Annealing. Electrica, 20(1), 19-27. https://www.doi.org/10.5152/electrica.2020.19034
CR  - Hsieh, C. H., & Chou, J. H. (2007). Design of optimal PID controllers for pwm feedback systems with bilinear plants. IEEE Transactions on Control Systems Technology, 15(6), 1075-1079. https://www.doi.org/10.1109/TCST.2007.908084
CR  - Izci, D., & Ekinci, S. (2022). A novel improved version of hunger games search algorithm for function optimization and efficient controller design of buck converter system. e-Prime - Advances in Electrical Engineering, Electronics and Energy, 2, 100039. https://www.doi.org/10.1016/j.prime.2022.100039
CR  - Izci, D., Ekinci, S., & Hekimoğlu, B. (2022a). Fractional-Order PID Controller Design for Buck Converter System via Hybrid Lévy Flight Distribution and Simulated Annealing Algorithm. Arabian Journal for Science and Engineering, 47, 13729-13747. https://www.doi.org/10.1007/s13369-021-06383-z
CR  - Izci, D., Ekinci, S., & Hekimoğlu, B. (2022b). A Novel Modified Lévy Flight Distribution Algorithm to Tune Proportional, Integral, Derivative and Acceleration Controller on Buck Converter System. Transactions of the Institute of Measurement and Control, 44(2), 393-409. https://www.doi.org/10.1177/01423312211036591
CR  - Izci, D., Hekimoğlu, B., & Ekinci, S. (2022c). A New Artificial Ecosystem-Based Optimization Integrated with Nelder-Mead Method for PID Controller Design of Buck Converter. Alexandria Engineering Journal, 61(3), 2030-2044. https://www.doi.org/10.1016/j.aej.2021.07.037
CR  - Izci, D., Ekinci, S., & Zeynelgil, H. L. (2023). Controlling an automatic voltage regulator using a novel Harris hawks and simulated annealing optimization technique. Advanced Control for Applications: Engineering and Industrial Systems, e121. https://www.doi.org/10.1002/adc2.121
CR  - Lee, Y. S., Wang, J. S., & Hui, S. Y. R. (1997). Modeling, Analysis, and Application of Buck Converters in Discontinuous-Input-Voltage Mode Operation. IEEE Transactions on Power Electronics, 12(2), 350-360. https://www.doi.org/10.1109/63.558762
CR  - Li, Y., & Zhao, Y. (2015, May 23-25). Memory identification of fractional order systems: Background and theory. In: Proceedings of the 27th Chinese Control and Decision Conference (2015 CCDC), (pp. 1038-1043). https://www.doi.org/10.1109/CCDC.2015.7162070
CR  - Maâmar, B., & Rachid, M. (2014). IMC-PID-fractional-order-filter controllers design for integer order systems. ISA Transactions, 53(5), 1620-1628. https://www.doi.org/10.1016/j.isatra.2014.05.007
CR  - Martinez-Patiño, L. M., Perez-Pinal, F. J., Soriano-Sánchez, A. G., Rico-Secades, M., Zarate-Orduño, C., & Nuñez-Perez, J. C. (2023). Fractional PID Controller for Voltage-Lift Converters. Fractal and Fractional, 7(7), 542. https://www.doi.org/10.3390/fractalfract7070542
CR  - Micev, M., Ćalasan, M., & Oliva, D. (2020). Fractional Order PID Controller Design for an AVR System Using Chaotic Yellow Saddle Goatfish Algorithm. Mathematics, 8(7), 1182. https://www.doi.org/10.3390/math8071182
CR  - Mohd Tumari, M. Z., Ahmad, M. A., Suid, M. H., & Hao, M. R. (2023). An Improved Marine Predators Algorithm-Tuned Fractional-Order PID Controller for Automatic Voltage Regulator System. Fractal and Fractional, 7(7), 561. https://www.doi.org/10.3390/fractalfract7070561
CR  - Monje, C. A., Vinagre, B. M., Feliu, V., & Chen, Y. Q. (2008). Tuning and auto-tuning of fractional order controllers for industry applications. Control Engineering Practice, 16, 798-812. https://www.doi.org/10.1016/j.conengprac.2007.08.006
CR  - Ortatepe, Z. (2023). Genetic Algorithm based PID Tuning Software Design and Implementation for a DC Motor Control System. Gazi University Journal of Science Part A: Engineering and Innovation, 10(3), 286-300. https://www.doi.org/10.54287/gujsa.1342905
CR  - Ortiz-Quisbert, M. E., Duarte-Mermoud, M. A., Milla, F., Castro-Linares, R., & Lefranc, G. (2018). Optimal fractional order adaptive controllers for AVR applications. Electrical Engineering, 100, 267-283. https://www.doi.org/10.1007/s00202-016-0502-2
CR  - Oustaloup, A., Levron, F., Mathieu B., & Nanot, F. M. (2000). Frequency-Band Complex Noninteger Differentiator: Characterization and Synthesis. IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, 47(1), 25-39. https://www.doi.org/10.1109/81.817385
CR  - Pan, F., & Liu, L. (2016, May 28-30). Research on different integral performance indices applied on fractional-order systems. In: Proceedings of the 2016 Chinese Control and Decision Conference (CCDC), (pp. 324-328). https://www.doi.org/10.1109/CCDC.2016.7531003
CR  - Podlubny, I. (1999). Fractional-Order Systems and PIλDμ-Controllers. IEEE Transactions on Automatic Control, 44(1), 208-214. https://www.doi.org/10.1109/9.739144
CR  - Ranjan, A., & Mehta, U. (2023). Fractional-Order Tilt Integral Derivative Controller Design Using IMC Scheme for Unstable Time-Delay Processes. Journal of Control, Automation and Electrical Systems, 34, 907-925. https://www.doi.org/10.1007/s40313-023-01020-6
CR  - Sangeetha, S., Sri Revathi, B., Balamurugan, K., & Suresh G. (2023). Performance analysis of buck converter with fractional PID controller using hybrid technique. Robotics and Autonomous Systems, 169, 104515. https://www.doi.org/10.1016/j.robot.2023.104515
CR  - Shah, P., & Agashe, S. (2016). Review of fractional PID controller. Mechatronics, 38, 29-41. https://www.doi.org/10.1016/j.mechatronics.2016.06.005
CR  - Smedley, K., & Cuk, S. (1994). Switching Flow-Graph Nonlinear Modeling Technique. IEEE Transactions on Power Electronics, 9(4), 405-413. https://www.doi.org/10.1109/63.318899
CR  - Tizhoosh, H. R. (2005, November 28-30). Opposition-Based Learning: A New Scheme for Machine Intelligence. In: Proceedings of the International Conference on Computational Intelligence for Modelling, Control and Automation and International Conference on Intelligent Agents, Web Technologies and Internet Commerce (CIMCA-IAWTIC'06), (pp. 695-701). https://www.doi.org/10.1109/CIMCA.2005.1631345
CR  - Torczon, V. (1989). Multi-Directional Search: A Direct Search Algorithm for Parallel Machines. PhD Thesis, Rice University, Houston, Texas, USA.
CR  - Torczon, V. (1997). On the Convergence of Pattern Search Algorithms. SIAM Journal on Optimization, 7(1), 1-25. https://www.doi.org/10.1137/S1052623493250780
CR  - Wang, Z., Li, S., Wang, J., & Li, Q. (2017). Robust control for disturbed buck converters based on two GPI observers. Control Engineering Practice, 66, 13-22. https://www.doi.org/10.1016/j.conengprac.2017.06.001
CR  - Warrier, P., & Shah, P. (2021). Optimal Fractional PID Controller for Buck Converter Using Cohort Intelligent Algorithm. Applied System Innovation, 4(3):50. https://www.doi.org/10.3390/asi4030050
CR  - Zhang, B., & Qiu, D. (2014). Sneak Circuits of DC‐DC Converters. In: Sneak Circuits of Power Electronic Converters (pp. 59-103). IEEE. https://www.doi.org/10.1002/9781118379950.ch3
UR  - https://doi.org/10.54287/gujsa.1357216
L1  - https://dergipark.org.tr/en/download/article-file/3394306
ER  -