Intelligent PID controllers

Intelligent PID controllers, or i-PID controllers, are PID controllers where the unknown parts of the plant, which might be highly nonlinear and/or time-varying, are taken into account without any modeling procedure. Our main tool is an online numerical differentiator, which is based on easily implementable fast estimation and identification techniques. Several numerical experiments demonstrate the efficiency of our method when compared to more classic PID regulators.

I. Introduction

Recent model-free control strategies have been proposed in [16] and [15]. They are based on new techniques for fast identification and estimation (see [17] and the references therein) and they have been shown to be quite efficient not only via academic examples in [15], [16] but also thanks to concrete case-studies ¹

Some industrial implementations, which will be discussed elsewhere, are already being developed.

in [23], [27], [48].