Fractional Order Modeling of Human Operator Behavior with Second Order Controlled Plant and Experiment Research

TL;DR

This paper proposes a new fractional order mathematical model for human operator behavior in control systems, demonstrating its effectiveness through experiments with a second-order controlled plant.

Contribution

It introduces a simple fractional order model with physically meaningful parameters, improving upon traditional models for human operator dynamics.

Findings

The fractional order model accurately captures human operator behavior.

Experimental results validate the model's effectiveness.

The model has fewer parameters and clearer physical interpretation.

Abstract

Modeling human operator's dynamic plays a very important role in the manual closed-loop control system, and it is an active research area for several decades. Based on the characteristics of human brain and behaviour, a new kind of fractional order mathematical model for human operator in SISO systems is proposed. Compared with the traditional models based on the commonly used quasi-linear transfer function method or the optimal control theory method, the proposed fractional order model has simple structure with only few parameters, and each parameter has explicit physical meanings. The actual data and experiment results with the second-order controlled element illustrate the effectiveness of the proposed method.