Model-free control

Michel Fliess (1, 2) , Cédric Join (3, 2, 4)

1 LIX - Laboratoire d'informatique de l'École polytechnique [Palaiseau]
2 AL.I.E.N. - ALgèbre pour Identification & Estimation Numériques
3 NON-A - Non-Asymptotic estimation for online systems
4 CRAN - Centre de Recherche en Automatique de Nancy

''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.

Keywords: PID controllers; intelligent PID controllers; intelligent PI controllers; intelligent P controllers; estimation; noise; flatness-based control; delay systems; non-minimum phase systems; fault accommodation; heat partial differential equations; operational calculus; functional analysis; differential algebra

Keywords: heat partial differential equations; fault accommodation; non-minimum phase systems; delay systems; model-free control; PID controllers; intelligent PID controllers; intelligent PI controllers; intelligent P controllers; estimation; noise; flatness-based control; operational calculus; functional analysis; differential algebra

Domains: Computer Science [cs]; Automatic Control Engineering; Engineering Sciences [physics]; Automatic; Mathematics [math]; Optimization and Control [math.OC]

Michel Fliess, Cédric Join. Model-free control. International Journal of Control, 2013, 86 (12), pp.2228-2252. ⟨10.1080/00207179.2013.810345⟩. ⟨hal-00828135v2⟩