In the last few decades, in all types of industries, approximately the most common types of controllers are PID controllers. They have found a huge acceptance and application in distinct industry. The most common types of controller used in process control are PID controllers due to their efficient response. Proper tuning rules are required for PID controller to give desired output and appropriate performance. There are progressive researches going on, to develop novel methods for PID tuning rules and designing. A large number of algorithms have been grown up by researchers and appropriate methods according to the application are approved by industries for PID tuning and designing. The authors aim to find out the way, which provides better tuning parameterization and better response. In this paper, the superiority of FOPID controller over conventional PID controller is discussed using MATLAB/SIMULINK. In recent years, FOPID controllers replaced all the PID controllers in many areas of engineering and science. The concept of FOPID controller was first invented by Podlubny in 1997.

FOPID Controller, PID Controller, Tuning Rules, AVR System.
How to Cite this Article?
Priyadarshi,S.R., and Yadav,S. (2017). Comparative Visualization of PID and FOPID Controller Response for an Automatic Voltage Regulator System. i-manager’s Journal on Instrumentation and Control Engineering, 5(1), 24-30.
[1]. I.J. Nagrath, and M. Gopal, Control Systems Engineering. New Age International (P) Limited Publishers.
[2]. K. Ogata, (2002). Modern Control Engineering, 4 Edition. Upper Saddle River, NJ. Prentice Hall Inc.
[3]. L. M. G. M. Malwatkar., (2010). “Design of controllers for higher-order-plus-delay-time processes: A practical solution”. International Journal of Computer Applications, (0975-8887), Vol. 1, No. 21, pp. 34-39.
[4]. K. H. G. Chong Ang, and Y. Li., (1992). “PID control system analysis, design and technology”. IEEE Transaction on Control Systems Technology, Vol. 13, No. 4, pp. 559-576.
[5]. K. J. Astrom, and T. Hagglund, (2010). PID Controller: Theory, Design and Tuning, Second Edition. Instrument Society of America, Research Triangle Park.
[6]. G. Bohannan, (2002). “Analog Realization of a st Fractional Control Element - Revisited”. Proc. of the 41 IEEE Int. Conf. on Decision and Control, and Tutorial Workshop 2: Fractional Calculus Applications in Automatic Control and Robotics, Las Vegas, USA.
[7]. G. E. Carlson, and C. A. Halijak, (1961). “Simulation of the fractional derivative operator and the fractional integral operator”. Kansas State University Bulletin, Vol. 45, No. 7, pp. 1–22.
[8]. G. E. Carlson, and C. A. Halijak, (1964). “Approximation 1/n of fractional capacitors (1/s) by a regular Newton process”. IEEE Trans. on Circuit Theory, Vol. 11, No. 2, pp. 210–213.
[9]. A. Charef, H. H. Sun, Y. Y. Tsao, and B. Onaral, (1992). “Fractal system as represented by singularity function”. IEEE Trans. on Automatic Control, Vol. 37, No. 9, pp. 1465–1470.
[10]. Matius Sau, (2009). “Perubahan frekuensi sistem dapat terjadi akibat pelepasan beban, untuk kasus Sistem Sulselbar”. Jurnal Adiwidia.
[11]. N. Rengarajan, (2007). “ANN based design of governor control”. Academic Open Internet Journal, Vol. 20.
[12]. Zwe Lee Gain, (2004). “A Particle Swarm Optimization approach for optimum design of PID controller in AVR system”. IEEE Trans. on Energy Conversion, Vol. 19, No. 2, pp. 384-391.
[13]. Podlubny, I. (1999). “Fractional-order systems and PID controllers”. IEEE Trans. on Automatic Control, Vol. 44, No. 1, pp. 208-213.
[14]. M. Rabiul Alam, Rajib Baran Roy, S.M. Jahangir Alam, and Dewan Juel Rahman, (2011). “Single Phase AVR Design for synchronous generator”. International Journal of Electrical & Computer Sciences (IJECS-IJENS), Vol. 11, No. 5, pp. 35-40.
[15]. H. Yoshida, K. Kawata, and Y. Fukuyama, (2000). “A Particle Swarm Optimization for reactive power and voltage control considering voltage security assessment”. IEEE Trans. Power Syst., Vol. 15, pp. 1232–1239.
[16]. K. B. Oldhamand, and J. Spanier, (1974). The Fractional Calculus. Academic Press, New York.
[17]. C. H. Lubich, (1986). “Discretized fractional calculus”. SIAM Journal on Mathematical Analysis, Vol. 17, No. 3, pp. 704-719.
[18]. K. S. Miller, and B. Ross, (1993). An Introduction to the Fractional Calculus and Fractional Differential Equations. Wiley, New York.
[19]. A. Oustaloup, (1981). “Fractional order sinusoidal oscillators: Optimization and their use in highly linear FM modulation”. IEEE Transactions on Circuits and Systems, Vol. 28, No. 10, pp. 1007–1009.
[20]. M. Chengbin, and Y. Hori, (2004). “The application of fractional order PID controller for robust two-inertia speed th control”. Proceedings of the 4 International Power Electronics and Motion Control Conference, Xian.
[21]. F. Merrikh-Bayat, and M. Karimi Ghartemani, (2010). “Method for designing FOPID stabilizers for minimum-phase fractional-order systems”. IET Control Theory Appl., Vol. 4, No. 1, pp. 61–70.
[22]. Padula, F., Visioli, A., (2010a). “Tuning rules for optimal PID and fractional-order PID controllers”. Journal of Process Control, Vol. 21, No. 1, pp. 69-81.
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