Model-Free Control and Intelligent Pid Controllers: Towards a Possible Trivialization of Nonlinear Control?

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. 1 This communication is a slightly modified and updated version of (Fliess & Join [2008a]), which is written in French. Model-free control and control with a restricted model, which might be useful for hybrid systems (Bourdais, Fliess, Join & Perruquetti [2007]), have already been applied in several concrete case-studies in various domains

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