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Open AccessJournal ArticleDOI

Model-free control

Michel Fliess, +1 more
- 19 Nov 2013 - 
- Vol. 86, Iss: 12, pp 2228-2252
TLDR
Model-free control and the corresponding ‘intelligent’ PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into account.
Abstract
''Model-free control'' and the corresponding ''intelligent'' PID controllers (iPIDs), which already had many successful concrete applications, are presented here for the first time in an unified manner, where the new advances are taken into account. The basics of model-free control is now employing some old functional analysis and some elementary differential algebra. The estimation techniques become quite straightforward via a recent online parameter identification approach. The importance of iPIs and especially of iPs is deduced from the presence of friction. The strange industrial ubiquity of classic PID's and the great difficulty for tuning them in complex situations is deduced, via an elementary sampling, from their connections with iPIDs. Several numerical simulations are presented which include some infinite-dimensional systems. They demonstrate not only the power of our intelligent controllers but also the great simplicity for tuning them.

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References
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Book

Functional analysis

Walter Rudin
Book

Real and complex analysis

Walter Rudin
TL;DR: In this paper, the Riesz representation theorem is used to describe the regularity properties of Borel measures and their relation to the Radon-Nikodym theorem of continuous functions.
Journal ArticleDOI

From PID to Active Disturbance Rejection Control

TL;DR: Active disturbance rejection control is proposed, which is motivated by the ever increasing demands from industry that requires the control technology to move beyond PID, and may very well break the hold of classical PID and enter a new era of innovations.
Journal ArticleDOI

Flatness and defect of non-linear systems: introductory theory and examples

TL;DR: In this paper, the authors introduce flat systems, which are equivalent to linear ones via a special type of feedback called endogenous feedback, which subsumes the physical properties of a linearizing output and provides another nonlinear extension of Kalman's controllability.
Book

Feedback Systems: An Introduction for Scientists and Engineers

TL;DR: Feedback Systems develops transfer functions through the exponential response of a system, and is accessible across a range of disciplines that utilize feedback in physical, biological, information, and economic systems.
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