Chaos Control and Stabilization of a PID Controlled Buck Converter Using the Spotted Hyena Optimizer
Received: 26 October 2021 | Revised: 8 November 2021 | Accepted: 12 November 2021 | Online: 19 November 2021
The voltage controlled buck converter by constant-frequency pulse-width modulation in continuous conduction mode gives rise to a variety of nonlinear behaviors depending on the circuit parameters values, which complicate their analysis and control. In this paper, a description of the DC/DC buck converter and an overview of some of its chaotic dynamics is presented. A solution based on the optimized PID controller is suggested to eliminate the observed nonlinear phenomena and to enhance the dynamics of the converter. The parameters of the controller are optimized with the Spotted Hyena Optimizer (SHO) which uses the sum of the error between the reference voltage and the output voltage as well as the error between the values of the inductor current in every switch opening instant to determine the fitness of each solution. The simulations results in MATLAB proved the efficiency of the proposed solution.
Keywords:buck converter, nonlinear behavior, optimized PID controller, spotted hyena optimizer
A. G. Perry, G. Feng, Y.-F. Liu, and P. C. Sen, "A Design Method for PI-like Fuzzy Logic Controllers for DC–DC Converter," IEEE Transactions on Industrial Electronics, vol. 54, no. 5, pp. 2688–2696, Oct. 2007, https://doi.org/10.1109/TIE.2007.899858.
M. Saoudi, A. El-Sayed, and H. Metwally, "Design and implementation of closed-loop control system for buck converter using different techniques," IEEE Aerospace and Electronic Systems Magazine, vol. 32, no. 3, pp. 30–39, Mar. 2017, https://doi.org/10.1109/MAES.2017.150261.
M. M. Al-Hindawi, A. Abusorrah, Y. Al-Turki, D. Giaouris, K. Mandal, and S. Banerjee, "Nonlinear Dynamics and Bifurcation Analysis of a Boost Converter for Battery Charging in Photovoltaic Applications," International Journal of Bifurcation and Chaos, vol. 24, no. 11, Nov. 2014, Art. no. 1450142, https://doi.org/10.1142/S0218127414501429.
A. Ghosh and S. Banerjee, "Study of complex dynamics of DC-DC buck converter," International Journal of Power Electronics, vol. 8, no. 4, pp. 323–348, Jan. 2017, https://doi.org/10.1504/IJPELEC.2017.085200.
S. Banerjee, A. Ghosh, and S. Padmanaban, "Modeling and analysis of complex dynamics for dSPACE controlled closed-loop DC-DC boost converter," International Transactions on Electrical Energy Systems, vol. 29, no. 4, 2019, Art. no. e2813, https://doi.org/10.1002/etep.2813.
S. Demirbas, H. Fidanboy, and E. Kurt, "Exploration of the Chaotic Behaviour in a Buck–Boost Converter Depending on the Converter and Load Elements," Journal of Electronic Materials, vol. 8, no. 45, pp. 3889–3899, 2016, https://doi.org/10.1007/s11664-016-4450-4.
A. K. Singha, S. Kapat, S. Banerjee, and J. Pal, "Nonlinear Analysis of Discretization Effects in a Digital Current Mode Controlled Boost Converter," IEEE Journal on Emerging and Selected Topics in Circuits and Systems, vol. 5, no. 3, pp. 336–344, Sep. 2015, https://doi.org/10.1109/JETCAS.2015.2462151.
C. Yfoulis, D. Giaouris, F. Stergiopoulos, C. Ziogou, S. Voutetakis, and S. Papadopoulou, "Robust constrained stabilization of boost DC–DC converters through bifurcation analysis," Control Engineering Practice, vol. 35, pp. 67–82, Feb. 2015, https://doi.org/10.1016/j.conengprac.2014.11.004.
D. Angulo-Garcia, F. Angulo, G. Osorio, and G. Olivar, "Control of a DC-DC Buck Converter through Contraction Techniques," Energies, vol. 11, no. 11, Nov. 2018, Art. no. 3086, https://doi.org/10.3390/en11113086.
K. Guesmi, N. Essounbouli, A. Hamzaoui, J. Zaytoon, and N. Manamanni, "Shifting nonlinear phenomena in a DC–DC converter using a fuzzy logic controller," Mathematics and Computers in Simulation, vol. 76, no. 5, pp. 398–409, Jan. 2008, https://doi.org/10.1016/j.matcom.2007.04.008.
K. Guesmi, N. Essounbouli, and A. Hamzaoui, "Systematic design approach of fuzzy PID stabilizer for DC–DC converters," Energy Conversion and Management, vol. 49, no. 10, pp. 2880–2889, Oct. 2008, https://doi.org/10.1016/j.enconman.2008.03.012.
K. Mehran, D. Giaouris, and B. Zahawi, "Stability Analysis and Control of Nonlinear Phenomena in Boost Converters Using Model-Based Takagi–Sugeno Fuzzy Approach," IEEE Transactions on Circuits and Systems I: Regular Papers, vol. 57, no. 1, pp. 200–212, Jan. 2010, https://doi.org/10.1109/TCSI.2009.2019389.
W. Hu, B. Zhang, and R. Yang, "Bifurcation Mechanism and Stabilization of V2C Controlled Buck Converter," IEEE Access, vol. 7, pp. 77174–77182, 2019, https://doi.org/10.1109/ACCESS.2019.2918297.
G. Djamal, G. Kamel, and M. Djiali, "On the elimination of nonlinear phenomena in DC/DC converters using type-2 fuzzy logic controller," Diagnostyka, vol. 19, no. 3, pp. 73–80, Sep. 2018, https://doi.org/10.29354/diag/93139.
M. Ayati, A. Bakhtiyari, and A. Gohari, "Chaos control in buck converter using fuzzy delayed-feedback controller," in 4th International Conference on Control, Instrumentation, and Automation, Qazvin, Iran, Jan. 2016, pp. 362–365, https://doi.org/10.1109/ICCIAutom.2016.7483189.
Y. Yuan, C. Chang, Z. Zhou, X. Huang, and Y. Xu, "Design of a single-input fuzzy PID controller based on genetic optimization scheme for DC-DC buck converter," in International Symposium on Next-Generation Electronics, Taipei, Taiwan, May 2015, pp. 1–4, https://doi.org/10.1109/ISNE.2015.7131965.
Z. B. Duranay, H. Guldemir, and S. Tuncer, "Fuzzy Sliding Mode Control of DC-DC Boost Converter," Engineering, Technology & Applied Science Research, vol. 8, no. 3, pp. 3054–3059, Jun. 2018, https://doi.org/10.48084/etasr.2116.
K. Behih, K. Benmahammed, Z. Bouchama, and M. N. Harmas, "Real-Time Investigation of an Adaptive Fuzzy Synergetic Controller for a DC-DC Buck Converter," Engineering, Technology & Applied Science Research, vol. 9, no. 6, pp. 4984–4989, Dec. 2019, https://doi.org/10.48084/etasr.3172.
H. Abderrezek, A. Ameur, and M. N. Harmas, "Robust DC/DC converter controllers using PSO," Electrotehnica, Electronica, Automatica, vol. 65, no. 1, pp. 31–37, Jan. 2017.
C.-B. Fu, A.-H. Tian, K.-N. Yu, Y.-H. Lin, and H.-T. Yau, "Analyses and Control of Chaotic Behavior in DC-DC Converters," Mathematical Problems in Engineering, vol. 2018, Nov. 2018, Art. no. e7439137, https://doi.org/10.1155/2018/7439137.
H. Abdelgawad and V. Sood, "Boost Converter Controller Design Based On Particle Swarm Optimization," International Journal on Power Engineering and Energy, vol. 7, no. 2, pp. 647–659, 2016.
R. W. Erickson and D. Maksimovic, Fundamentals of Power Electronics. Netherlands, Amsterdam: Kluwer Academic Publishers, 2001.
K. Jayaswal and D. K. Palwalia, "Performance Analysis of Non-Isolated DC-DC Buck Converter Using Resonant Approach," Engineering, Technology & Applied Science Research, vol. 8, no. 5, pp. 3350–3354, Oct. 2018, https://doi.org/10.48084/etasr.2242.
G. Dhiman and V. Kumar, "Spotted hyena optimizer: A novel bio-inspired based metaheuristic technique for engineering applications," Advances in Engineering Software, vol. 114, pp. 48–70, Dec. 2017, https://doi.org/10.1016/j.advengsoft.2017.05.014.
G. Dhiman and A. Kaur, "Spotted Hyena Optimizer for Solving Engineering Design Problems," in International Conference on Machine Learning and Data Science, Noida, India, Dec. 2017, pp. 114–119, https://doi.org/10.1109/MLDS.2017.5.
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