Performance of FOPI with error filter based on controllers performance criterion (ISE, IAE and ITAE)

Abstract

Generalization of Fractional-order PID or ΡΙ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">λ</sup> Ω <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">μ</sup> have more parameters compared to standard PID structure. In standard PID structure, it only consist of three parameters such as Proportional (P), Integral (I) and Derivative (D) term where in ΡΙ <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">λ</sup> Ω <sup xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">μ</sup> it consists of two more adjustable parameters which are λ and μ. Consequently, it has more degree of freedom than PID and may achieve better response relatively. This paper presents performance evaluation of Fractional-order PI with error filter using three performance criteria such as Integral of Square Error (ISE), Integral of Absolute Error (IAE) and Time-weighted Integral of Absolute Error (ITAE). The controller is evaluated based on simulation and real-time study performed on a Small-Medium Industry Steam Distillation Plant (SMISD) for steam temperature control.