Abstract
The aim of this paper is to simplify the design of fractional-order PID controllers. Because the analytical expressions and operations of fractional-order systems are complex, numerical approximation tool is needed for the simulation analysis and engineering practice of fractional-order control systems. The key to numerical approximation tool is the exact approximation of the fractional calculus operator. A commonly used method is to approximate the fractional calculus operator with an improved Oustaloup’s recursive filter. Based on the modified Oustaloup’s recursive filter, a mathematical simplification method is proposed in this paper, and a simplified fractional-order PID controller (SFOC) is designed. The controller parameters are tuned by using genetic algorithm (GA). Effectiveness of the proposed control scheme is verified by simulation. The performance of SFOC has been compared with that of the integer-order PID controller and conventional fractional-order PID controller (CFOC). It is observed that SFOC requires smaller effort as compared with its integer and conventional fractional counterpart to achieve the same system performance.
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