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Conference Papers Year : 2011

Nothing is as Practical as a Good Theory: Model-Free Control

Rien de plus utile qu'une bonne théorie : la commande sans modèle

Abstract

The experience gained with numerous successful applications permits to revisit some points of model-free control. The numerical differentiation of noisy signals may be replaced by a real time parameter identification which is much simpler. The strange ubiquity of classic PIDs is explained as well as the almost universal utilization of ultra-local models of order 1. We show that even with a partially known model the utilization of an intelligent PI controller remains profitable. Two examples, an inverted pendulum and a heat exchanger, seem to confirm the superiority of model-free control with respect to sliding modes control and techniques stemming from infinite-dimensional systems, such as delays or partial differential equations. Our paper is illustrated by several computer simulations.
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Dates and versions

hal-00581109 , version 1 (30-03-2011)
hal-00581109 , version 2 (30-03-2011)

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Michel Fliess, Cédric Join, Samer Riachy. Rien de plus utile qu'une bonne théorie : la commande sans modèle. 4èmes Journées Doctorales / Journées Nationales MACS, JD-JN-MACS, Jun 2011, Marseille, France. ⟨hal-00581109v2⟩
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