Model-free control and intelligent PID controllers: towards a possible trivialization of nonlinear control?
arXiv:0904.0322
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.
arXiv commentThis communication is a slightly modified and updated version of a paper by the same authors (Commande sans modèle et commande à modèle restreint, e-STA, vol. 5 (\degree 4), pp. 1-23, 2008. Available at http://hal.inria.fr/inria-00288107/en/), which is written in French