Practical Application of Fractional-Order PID Controller based on Evolutionary Optimization Approach for a Magnetic Levitation System

REFERENCES

• R. E. Gutiérrez, J. M. Rosário, and J. T. Machado, “Fractional order calculus: Basic concepts and engineering applications,” Math. Probl. Eng., Vol. 2010, p. 375858, Mar. 2010.
   Web of Science ®Google Scholar
• R. L. Magin, “Bioengineering and cybernetics: A modern caduceus,” IEEE. Pulse., Vol. 8, no. 1, pp. 44–47, Jan.–Feb. 2017.
   PubMed Web of Science ®Google Scholar
• J. A. T. Machado, and A. M. Lopes, “Analysis of natural and artificial phenomena using signal processing and fractional calculus,” Fract. Calc. Appl. Anal., Vol. 18, no. 2, pp. 459–478, 2015.
   Web of Science ®Google Scholar
• A. P. Singh, D. Deb, H. Agrawal, K. Bingi, and S. Ozana, “Modeling and control of robotic manipulators: A fractional calculus point of view,” Arabian J. Sci. Eng., Vol. 46, pp. 9541–9552, Feb. 2021.
   Web of Science ®Google Scholar
• R. E. Gutiérrez-Carvajal, L. F. de Melo, J. M. Rosário, and J. A. T. Machado, “Condition-based diagnosis of mechatronic systems using a fractional calculus approach,” Int. J. Syst. Sci., Vol. 47, no. 9, pp. 2169–2177, 2016.
   Web of Science ®Google Scholar
• A. Tepljakov, E. Petlenkov, J. Belikov, and J. Finajev, “Fractional-order controller design and digital implementation using FOMCON toolbox for MATLAB,” in 2013 IEEE Conference on Computer Aided Control System Design (CACSD), 2013, 340–345.
   Google Scholar
• S. Debbarma, and A. Dutta, “Utilizing electric vehicles for LFC in restructured power systems using fractional order controller,” IEEE Trans. Smart Grid, Vol. 8, no. 6, pp. 2554–2564, Nov. 2017.
   Web of Science ®Google Scholar
• R. Li, and W. Chen, “Lyapunov-based fractional-order controller design to synchronize a class of fractional-order chaotic systems,” Nonlinear Dyn., Vol. 76, no. 1, pp. 785–795, 2014.
   Web of Science ®Google Scholar
• P. P. Arya, and S. Chakrabarty, “A robust internal model-based fractional order controller for fractional order plus time delay processes,” IEEE Contr. Syst. Lett., Vol. 4, no. 4, pp. 862–867, Oct. 2020.
   Google Scholar
• P. Roy, B. Kar, and B. K. Roy, “Fractional order PI-PD control of liquid level in coupled two tank system and its experimental validation,” Asian. J. Control., Vol. 19, pp. 1699–1709, 2017.
   Web of Science ®Google Scholar
• F. J. Castillo-Garcia, V. Feliu-Batlle, and R. Rivas-Perez, “Time domain tuning of fractional order controllers combined with a Smith predictor for automation of water distribution in irrigation main channel pools,” Asian. J. Control., Vol. 15, no. 3, pp. 819–833, May 2013.
   Web of Science ®Google Scholar
• Y. Arya, N. Kumar, P. Dahiya, G. Sharma, E. Çelik, S. Dhundhara, et al., “Cascade- IλDµN controller design for AGC of thermal and hydro-thermal power systems integrated with renewable energy sources,” IET Renew. Power Gener., Vol. 15, no. 3, pp. 504–520, Jan. 2021.
   Web of Science ®Google Scholar
• Y. Arya, “A novel CFFOPI-FOPID controller for AGC performance enhancement of single and multi-area electric power systems,” ISA Trans., Vol. 100, pp. 126–135, May 2020.
   PubMed Web of Science ®Google Scholar
• Y. Arya, “Impact of ultra-capacitor on automatic generation control of electric energy systems using an optimal FFOID controller,” Int. J. Energy Res., Vol. 43, no. 14, pp. 8765–8778, Aug. 2019.
   Web of Science ®Google Scholar
• G. Sharma, A. Panwar, Y. Arya, and M. Kumawat, “Integrating layered recurrent ANN with robust control strategy for diverse operating conditions of AGC of the power system,” IET Gener. Transm. Distrib., Vol. 14, no. 18, pp. 3886–3895, Jul. 2020.
   Web of Science ®Google Scholar
• Y. Arya, “Impact of hydrogen aqua electrolyzer-fuel cell units on automatic generation control of power systems with a new optimal fuzzy TIDF-II controller,” Renew. Energy, Vol. 139, pp. 468–482, Aug. 2019.
   Web of Science ®Google Scholar
• Y. Arya, “Effect of electric vehicles on load frequency control in interconnected thermal and hydrothermal power systems utilising CF-FOIDF controller,” IET Gener. Transm. Distrib., Vol. 14, no. 14, pp. 2666–2675, Jul. 2020.
   Web of Science ®Google Scholar
• S. Banerjee, D. Prasad, and J. Pal, “Large gap control in electromagnetic levitation,” ISA Trans., Vol. 45, no. 2, pp. 215–224, April 2006.
   PubMed Web of Science ®Google Scholar
• S. Banerjee, T. K. Sunil Kumar, J. Pal, and D. Prasad, “Controller design for large-gap control of electromagnetically levitated system by using an optimization technique,” IEEE Trans. Contr. Syst. Technol., Vol. 16, no. 3, pp. 408–415, May 2008.
   Web of Science ®Google Scholar
• Q. Chen, Y. Tan, J. Li, and I. Mareels, “Decentralized PID control design for magnetic levitation systems using extremum seeking,” IEEE. Access., Vol. 6, pp. 3059–3067, 2018.
   Web of Science ®Google Scholar
• S. Banerjee, M. K. Sarkar, P. K. Biswas, R. Bhaduri, and P. Sarkar, “A review note on different components of simple electromagnetic levitation systems,” IETE Tech. Rev., Vol. 28, no. 3, pp. 256–264, 2011.
   Web of Science ®Google Scholar
• A. Mughees, and S. A. Mohsin, “Design and control of magnetic levitation system by optimizing fractional order PID controller using ant colony optimization algorithm,” IEEE. Access., Vol. 8, pp. 116704–116723, 2020.
   Web of Science ®Google Scholar
• A. S. Chopade, S. W. Khubalkar, A. S. Junghare, M. V. Aware, and S. Das, “Design and implementation of digital fractional order PID controller using optimal pole-zero approximation method for magnetic levitation system,” IEEE/CAA J. Autom. Sin., Vol. 5, no. 5, pp. 977–989, Sept. 2018.
   Google Scholar
• S. Dey, S. Banerjee, and J. Dey. “Design and performance analysis of optimized fractional order PID controller for magnetic levitation system,” in 2021 IEEE 4th International Conference on Computing, Power and Communication Technologies (GUCON), Feb. 2021, pp. 1–6.
   Google Scholar
• L.-Y. Chang, and H.-C. Chen, “Tuning of fractional PID controllers using adaptive genetic algorithm for active magnetic bearing system,” WSEAS Trans. Syst., Vol. 8, no. 1, pp. 158–167, 2009.
   Google Scholar
• C. Wei, and D. Söffker, “Optimization strategy for PID-controller design of AMB rotor systems,” IEEE Trans. Control Syst. Technol., Vol. 24, no. 3, pp. 788–803, May 2016.
   Web of Science ®Google Scholar
• S. Dey, J. Dey, and S. Banerjee. “Optimization algorithm based PID controller design for a magnetic levitation system,” in 2020 IEEE Calcutta Conference (CALCON), Kolkata, 2020, pp. 258–262.
   Google Scholar
• A. Pati, and R. Negi, “An optimised 2-DOF IMC-PID-based control scheme for real-time magnetic levitation system,” Int. J. Autom. Control, Vol. 13, no. 4, pp. 413–439, 2019.
   Web of Science ®Google Scholar
• K. G. Begum, A. Seshagiri Rao, and T. K. Radhakrishnan, “Novel IMC filter design-based PID controller design for systems with one right half plane pole and dead-time,” Int. J. Autom. Control, Vol. 14, no. 4, pp. 423–444, 2020.
   Web of Science ®Google Scholar
• S. Banerjee, “Extension of operating air-gap in electromagnetic levitation system by using intelligent controllers,” Int. J. Autom. Control, Vol. 12, no. 4, pp. 526–554, 2018.
   Web of Science ®Google Scholar
• J. Zhong, and L. Li, “Tuning fractional-order PI λ Dµ controllers for a solid-core magnetic bearing system,” IEEE Trans. Control Syst. Technol., Vol. 23, no. 4, pp. 1648–1656, July 2015.
   Web of Science ®Google Scholar
• S. Folea, C. I. Muresan, R. De Keyser, and C. M. Ionescu, “Theoretical analysis and experimental validation of a simplified fractional order controller for a magnetic levitation system,” IEEE Trans. Control Syst. Technol., Vol. 24, no. 2, pp. 756–763, Mar. 2016.
   Web of Science ®Google Scholar
• D. S. Acharya, B. Sarkar, and D. Bharti. “A fractional order particle swarm optimization for tuning fractional order PID controller for magnetic levitation plant,” in 2020 First IEEE International Conference on Measurement, Instrumentation, Control and Automation (ICMICA), pp. 1–6.
   Google Scholar
• B. Ataşlar-Ayyıldız, O. Karahan, and S. Yılmaz, “Control and robust stabilization at unstable equilibrium by fractional controller for magnetic levitation systems,” Fractal Fract., Vol. 5, no. 3, p. 101, 2020.
   Web of Science ®Google Scholar
• S. K. Swain, D. Sain, S. K. Mishra, and S. Ghosh, “Real time implementation of fractional order PID controllers for a magnetic levitation plant,” AEU – Int. J. Electron. Commun., Vol. 78, pp. 141–156, 2017.
   Web of Science ®Google Scholar
• L. Liu, and S. Zhang, “Robust fractional-order PID controller tuning based on Bode’s optimal loop shaping,” Complexity, Vol. 2018, pp. 1–14, Jun. 2018.
   Google Scholar
• I. Podlubny, “Fractional-order systems and PIλDµ controllers,” IEEE Trans. Autom. Control, Vol. 44, no. 1, pp. 208–214, Jan. 1999.
   Web of Science ®Google Scholar
• S. Mirjalili, S. M. Mirjalili, and A. Lewis, “Grey Wolf optimizer,” Adv. Eng. Softw., Vol. 69, pp. 46–61, 2014.
   Web of Science ®Google Scholar