Model-free control

• Published in: International journal of control Vol. 86; no. 12; pp. 2228 - 2252
• Main Authors: Fliess, Michel, Join, Cédric
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 01-12-2013; Taylor & Francis Ltd
• Subjects: Algorithms; Automatic; Automatic Control Engineering; Computer Science; Controllers; delay systems; differential algebra; Engineering Sciences; estimation; fault accommodation; flatness-based control; functional analysis; heat partial differential equations; intelligent P controllers; intelligent PI controllers; intelligent PID controllers; Mathematics; Model-free control; noise; non-minimum phase systems; operational calculus; Optimization and Control; Parameter identification; PID controllers; PID controllers; delay systems; functional analysis; non-minimum phase systems; estimation; fault accommodation; intelligent PI controllers; heat partial differential equations; intelligent PID controllers; operational calculus; flatness-based control; noise; intelligent P controllers; differential algebra
• ISSN: 0020-7179; 1366-5820
• DOI: 10.1080/00207179.2013.810345

'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 PIDs 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.