Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?

Michel Fliess 1, 2 Cédric Join 2, 3
2 ALIEN - Algebra for Digital Identification and Estimation
Inria Lille - Nord Europe, Inria Saclay - Ile de France, Ecole Centrale de Lille, X - École polytechnique, CNRS - Centre National de la Recherche Scientifique : UMR8146
Abstract : We are introducing a model-free control and a control with a restricted model for finite-dimensional complex systems. This control design may be viewed as a contribution to "intelligent'' PID controllers, the tuning of which becomes quite straightforward, even with highly nonlinear and/or time-varying systems. Our main tool is a newly developed numerical differentiation. Differential algebra provides the theoretical framework. Our approach is validated by several numerical experiments.
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  • HAL Id : inria-00372325, version 2
  • ARXIV : 0904.0322

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Michel Fliess, Cédric Join. Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?. 15th IFAC Symposium on System Identification (SYSID 2009), Jul 2009, Saint-Malo, France. 2009. 〈inria-00372325v2〉

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