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

By Michel Fliess, Cédric Join. arXiv.org, 2009

372 citations recorded by the source corpus.

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.

Subfields: Control and Systems Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/f7aebe944632dd92c543ce0d6e856f09f6a8c483

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In Control and Systems Engineering

In Numerical Analysis

Citations in the corpus

Model-free control (2013, methodology): “Although model-free control was introduced only a few years ago (Fliess & Join (2008b, 2009); Fliess, Join & Riachy (2011b)), there is already a quite impressive list of successful concrete applications in most diverse ﬁelds, ranging from intelligent transportation systems to energy management…”
Stability of active disturbance rejection control for uncertain systems: A Lyapunov perspective (2017, methodology): “in [25, 26] proposed a similar method, named model free control, to control uncertain plants, where the uncertain dynamic is computed by integration of the closed-loop system, instead of using an extended high-gain observer.”