Simplification of dynamic problems by time-scale transformation: application to the nonlinear control with input positive constraints

Céline Casenave (1) , Emmanuel Montseny

1 MISTEA - Mathématiques, Informatique et STatistique pour l'Environnement et l'Agronomie

In this paper, we show how timescale transformations (TST) can be used for the control of nonlinear sytems subject to positive constraints. Such transformations, which consist in a change of the time variable, enable to define a new timescale denoted τ in which the control problem becomes unconstrained and is therefore simplified. Classical methods such as dynamic feedback linearizing control design can then be used, leading to control laws that naturally fullfill the input positive constraints. The proposed method is applied on two concrete examples and compared with an other approach.

Mots clés: System identification; Operatorial cancellation; Nonlinear system; Volterra model; Diffusive representation; input positive constraints; input saturation; nonlinear control; time-scale transformation

Domaines: Automatique

Céline Casenave, Emmanuel Montseny. Simplification of dynamic problems by time-scale transformation: application to the nonlinear control with input positive constraints. 20th IFAC World Congress 2017, Jul 2017, Toulouse, France. pp.10691 - 10696, ⟨10.1016/j.ifacol.2017.08.2218⟩. ⟨hal-01689062⟩