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

Michel Fliess; Cédric Join

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arXiv · 0904.0322

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

Michel Fliess·Cédric Join

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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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Michel Fliess, Cédric Join. 2009-04-02. Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?. https://arxiv.org/abs/0904.0322

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