Design of Fuzzy FOPID Controller Optimized by ICA for Control of AVR

  • Saber Falahati Aliabadi Department of Electrical and Computer Engineering, University of Kashan, Kashan, Iran
  • Seyyd Abbas Taher Electrical and Computer Engineering Department, University of Kashan, Kashan, Iran


In this paper Fuzzy-FOPID controller is used in order to control automatic voltage regulator (AVR) system. This controller has six parameters. In this paper, optimization method is employed to determine the controller parameters. For this purpose, imperialist competitive algorithm (ICA) is used for its high accuracy and good performance. To illustrate performance of proposed controller, some simulations are carried out in MATALB and the results are compared with FOPID controller results. Good performance of proposed controller is validated by results of the simulations.


[1] J. Finch, K. Zachariah and M. Farsi, “Turbogenerator self-tuning automatic voltage regulator”, IEEE Trans on Energy Convers 1999; 14(3): 843–8.
[2] S.K. Chang, F. Albuyeh, M. L. Gilles, G.E. Marks and K. Kato, “Optimal real-time voltage control”. IEEE Trans on Power Syst 1990; 5(3):750–8.
[3] A. Ibrahim, B. Hogg and M. Sharaf, “Self-tuning automatic voltage regulators for a synchronous generator”, ContrTheorAppl IEE ProcD 1989;136(5):252–60.
[4] E. Ali and S. Abd-Elazim, “Coordinated design of PSSs and TCSC via bacterial swarm optimization algorithm in a multi-machine power system”, Electrical Power and Energy Systems 2012; 36(1):84–92.
[5] B. Shaw, A. Banerjee, S. Ghoshal and V. Mukherjee, “Comparative seeker and bio-inspired fuzzy logic controllers for power system stabilizers”, Electrical Power and Energy Systems2011; 33(10):1728–38.
[6] H.E.A. Talaat, A. Abdennour and A.A. Al-Sulaiman, “Design and experimental investigation of a decentralized GA-optimized neuro-fuzzy power system stabilizer”, Electrical Power and Energy Systems 2010; 32(7):751–9.
[7] H.E. Mostafa, M.A. El-Sharkawy, A.A. Emary and K. Yassin, “Design and allocation of power system stabilizers using the particle swarm optimization technique for an interconnected power system”, Electrical Power and Energy Systems, 2011; 34(1):57–65.
[8] Z.L. Gaing, “A particle swarm optimization approach for optimum design of PID controller in AVR system”, IEEE Trans on Energy Convers 2004; 19(2):384–91.
[9] B. Selvabala and D.Devaraj, “Coordinated design of AVR-PSS using multi objective genetic algorithm”, Swarm EvolMemetComput LNCS 010;6466/ 2010:481–93.
[10] A. Chatterjee, V. Mukherjee and S. Ghoshal, “Velocity relaxed and craziness-based swarm optimized intelligent PID and PSS controlled AVR system”, Electrical Power and Energy Systems 2009; 31(7–8):323–33.
[11] H. Zhu, L. Li, Y. Zhao, Y. Guo, Y. Yang, “CAS algorithm-based optimum design of PID controller in AVR system”, Chaos SolitFract 2009;42(2):792–800.
[12] Y.Tang, M.Cui, C.Hua, L.Li, Y.Yang, “Optimum design of fractional order PI kDl controller for AVR system using chaotic ant swarm”, ExpertSystAppl 2012; 39(8):6887–96.
[13] M. Zamani, M. Karimi-Ghartemani, N. Sadati, M. Parniani, “Design of a fractional order PID controller for an AVR using particle swarm optimization”, Control Engineering Practice 17 (2009) 1380–1387.
[14] M. Karimi-Ghartemani, M. Zamani, N. Sadati and M. Parniani, “An Optimal Fractional Order Controller for an AVR System Using Particle Swarm optimization Algorithm”. Power Engineering, 2007 Large Engineering Systems Conference on, pp: 244- 247.
[15] V. Mukherjee, S.P. Ghoshal, “Intelligent particle swarm optimized fuzzy PID controller for AVR system”, Electric Power Systems Research 77 (2007) 1689–1698, 1689-1698

[16] H. Bevrani and P.R. Daneshmand, “Fuzzy logic-based load–frequency control concerning high penetration of wind turbines”, Syst J IEEE 2012; 6(1):173–80.
[17] S. Sinha, R. Patel and R. Prasad, “Application of AI supported optimal controller for automatic generation control of a restructured power system with parallel AC–DC tie lines”, Eur Trans Electr Power,
[18] W. Zhi-Wei, C. Hung-Yuan and L. Jin-Jye, “A PID type fuzzy controller with self-tuning scaling factors” Fuzzy Sets and Systems 2000;115(): 321-326.
[19] D. Saptarshi, P. Indranil, D. Shantanu and G. Amitava, “A Novel Fractional Order Fuzzy PID Controller and Its Optimal Time Domain Tuning Based on Integral Performance Indices”, Engineering Applications of Artificial Intelligence, Volume 25, Issue 2, March 2012, Pages 430–442
[20] D. Driankov, H. Hallendoorn and M. Reinfrank, “An introduction to fuzzy control”. Springer-Verlag, Berlin, 1993.
[21] I. Podlubny, “Fractional-order systems and PIλDδ Controllers” .IEEE Trans. Automatic Control. 1999;44(1): 208-214, 1999.
[22] I. Petras, “The fractional order controllers: methods for their synthesis and application”, Journal of Electrical Engineering. 1999; 50(9-10): 284-288.
[23] B.M. Vinagre, I. Podlubny, L. Dorack and V. Feliu, “On fractional PID controllers: a frequency domain approach”,In: Proceedings of IFAC Workshop on Digital Control-PID. Terrassa, Spain, 2000.
[24] I. Dorcak, I. Petras, I. Kostical and J. Terpak, “State-space controller design for the fractional-order regulated systems”, In: Proceedings of the ICCC2001, Krynica, 2001:15-20.
[25] M. Chengbin and Y. Hori, “The application of frational order PID controller for robust two-inertia speed control”, In: Proceedings of the 4th International Power Electronic and Motion Control Conference, Xi’an, 2004.
[26] A. Oustaloup, F. Levron, B. Mathie and, F. Nanot, “Frequency-band complex non-integer differentiator: characterization and synthesis”, IEEE Transactions on Circuits and Systems-I: Fundamental Theory and Application. 2000;47(1): 25-39.
[27] V. Mehra, S. Srivastava, P. Varshney, “Fractional-Order PID Controller Design for Speed Control of DC Motor”, Third International Conference on Emerging Trends in Engineering and Technology, 2010.
[28] A. Karami, E. Rezaei, M. Shahhosseni and M. Aghakhani, “Optimization of heat transfer in an air cooler equipped with classic twisted tape inserts using imperialist competitive algorithm”, Experimental Thermal and Fluid Science. 2012; 38: 195-200.
[29] A. Kaveh and S. Talatahari, “Optimum design of skeletal structures using imperialist competitive algorithm”, Computers & Structures 2010; 88(21-22): 1220-1229.
[30] S. Nazari-Shirkouhi, H. Eivazy, R. Ghodsi, K. Rezaei and E. Atashpaz-Gargari, “Solving the integrated product mix-outsourcing problem using the imperialist competitive algorithm”, Expert Systems with Apllications. 2010; 37(12): 7615-7626.
[31] E. Atashpaz-Gargari and C. Lucas, “Imperialist Competitive Algorithm: An algorithm for optimization inspired by imperialistic competition”, IEEE Congress on Evolutionary Computation 2007: pp. 4661–4667.
How to Cite
Falahati Aliabadi, S., & Taher, S. A. (2017). Design of Fuzzy FOPID Controller Optimized by ICA for Control of AVR. Majlesi Journal of Electrical Engineering, 11(4), 27-35. Retrieved from