Design of Robust Optimal Fractional-Order Pid Controllers
Using Particle Swarm Optimization Algorithm for
Automatic Voltage Regulator (AVR) System
Saeed Balochian1, Hossein Baloochin2 and Hadi Ramezanian3
1,3Department of Electrical Engineering, Gonabad Branch,
Islamic Azad University, Gonabad, Iran
2Department of Electrical Engineering, Ferdows Branch,
Islamic Azad University, Ferdows, Iran
In this paper, a fractional order controller with a first-order low pass filter in derivative was designed. Since disturbance rejection is more common than set point tracking in industrial processes, the performance of the system was evaluated by its ability to reject disturbance. Morever, a method for robust optimum tuning of fractional PID controllers for AVR system using Particle swarm optimization (PSO) algorithm was presented. Using the H∞-norm of a SISO linear system, condition for disturbance rejection was determined and constrained optimization problem was solved. The proposed approach with new defined fitness function has very easy implementation and has the most control performance. The influence and efficiency of the proposed method were illustrated in simulations.
In the last decade, fractional-order dynamic systems and controllers had been widely studied in many areas of engineering and science (Baleanu et al. 2012a, Baleanu et al. 2012b, Pan and Das 2013). The concept of fractional-order PID (FOPID) controllers was proposed by Podlubny in 1999. Hardware and digital realizations of fractional-order systems can be followed in Valerio and Sada (2011). Biswas et al. (2009) presented an FOPID design method based on differential evolution (DE) technique. Moreover, Yeroglu and Tan (2011) presented a method based on the Ziegler–Nichols and the Astrom–Hagglund methods. Luo et al. (2011a) also designed a fractional order (PI)λ controller to improve the flight control performance of a small fixed-wing unmanned aerial . . . . read more
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