Fractional-order integral and derivative controller for temperature profile tracking

Abstract

This paper establishes a new strategy to tune a fractional order integral and derivative (ID) controller satisfying gain and phase margins based on Bode's ideal transfer function as a reference model, for a temperature profile tracking. A systematic analysis resulting in a non-linear equation relating user-defined gain and phase margins to the fractional order controller is derived. The closed-loop system designed has a feature of robustness to gain variations with step responses exhibiting a nearly iso-damping property. This paper aims to apply the analytical tuning procedure to control the heat flow systems at selected points in Quanser experimental platform. Thus, the main purpose of this paper is to examine performances of two different fractional order controllers in temperature profile tracking. From experimental comparisons with the traditional PI/PID controller based on Ziegler-Nichols' tuning method, it will be shown that the proposed methodologies are specifically beneficial in controlling temperature in time-delay heat flow systems.

Review of fractional PID controller

“…The same method was also used by H. Ahn et al [97,98] for temperature profile tracking on heat flow experiments (Quanser Product). The enhanced version of MIGO (Fractional MIGO) method was used in [99,100] .…”

Fractional-order controller design in frequency domain using an improved nonlinear adaptive seeker optimization algorithm

“…To the best of the authors' knowledge, the FOID design technique proposed in [14] is the only reported work on optimization-based FO controller design using the gain and phase margin. The noninclusion of any approximation for nonlinear functions ensures the low deviation in achieving gain and phase margin specifications with the proposed technique.…”

“…In the only reported work on optimization-based design of FO controllers using gain and phase margin [14], a tuning procedure for the design of an FOID controller was proposed. The approach is applicable only to a specified class of plants.…”

Optimal fractional order PID controller for automatic generation control of two-area power systems

“…An improved performance has already been observed with the incorporation of fractional order controllers in many engineering problems such as speed control of DC motor [14], temperature profile tracking [15], Aerofin control system [16] and in robotics [11]. A few successful implementations have also been found in automatic voltage regulator systems [17,18].…”