Abstract

The scientific community has recently seen a fast-growing number of publications tackling the topic of fractional-order controllers in general, with a focus on the fractional order PID. Several versions of this controller have been proposed, including different tuning methods and implementation possibilities. Quite a few recent papers discuss the practical use of such controllers. However, the industrial acceptance of these controllers is still far from being reached. Autotuning methods for such fractional order PIDs could possibly make them more appealing to industrial applications, as well. In this paper, the current autotuning methods for fractional order PIDs are reviewed. The focus is on the most recent findings. A comparison between several autotuning approaches is considered for various types of processes. Numerical examples are given to highlight the practicality of the methods that could be extended to simple industrial processes.

Highlights

  • IntroductionDespite the abundance of research in advanced control strategies, the PID (proportionalintegrative-derivative) controller remains the preferred control algorithm in industrial applications [1,2]

  • Despite the abundance of research in advanced control strategies, the PID controller remains the preferred control algorithm in industrial applications [1,2]

  • Experimental results show that the fractional order PI (FO-PI) controller leads to better performance during the set-point change and load disturbance test in terms of output and control effort

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Summary

Introduction

Despite the abundance of research in advanced control strategies, the PID (proportionalintegrative-derivative) controller remains the preferred control algorithm in industrial applications [1,2]. Large industrial plants are characterized by numerous sub-systems and obtaining an accurate process model is not cost effective as it can be difficult and/or time consuming. Both approaches use step or sinusoidal input data and collect the process output response. For a direct autotuner the PID parameters are determined directly from process input/output data, while for the indirect PID autotuner, simple process models are first determined and the PID parameters are computed according to some tuning rules based on the model parameters. The majority of indirect methods use either first-order plus dead time (FOPDT) or second-order plus dead time (SOPDT) models

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