Flat control system

Platitude of a model
Flat control system

Authors : Frédéric ROTELLA, Irène ZAMBETTAKIS

Publication date: September 10, 2007 | Lire en français

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2. Platitude of a model

Definition 1

A system defined by equation :

Φ (\overset{\cdot}{x} (t), x (t), u (t)) = 0

^( 4 )

where x (t ) is the state and u (t ) is the control, is flat if there exists a vector z (t ) such that :

z (t ) = h (x (t ), u (t ), u ⁽¹⁾ (t ), ..., u...

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Platitude of a model

(1) - FLIESS (M.), LÉVINE (J.), MARTIN (P.), ROUCHON (P.) - Sur les systèmes non linéaires différentiellement plats. - C. R. Acad. Sciences, vol. 315, série 1, p. 619-24 (1992).
(2) - FLIESS (M.), LÉVINE (J.), MARTIN (P.), ROUCHON (P.) - Flatness and defect of nonlinear...

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