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

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

2009-04-02

arxiv.org/abs/0904.0322v1

Mathematics

Optimization and Control

This communication is a slightly modified and updated version of a paper by the same authors (Commande sans mod\`ele et comman

Scientific paper

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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