Application example
Saturation in speed and speed-position

Article REF: S7192 V1

Application example
Saturation in speed and speed-position

Authors : André J. FOSSARD, Frank ORTIZ

Publication date: September 10, 2002 | Lire en français

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3. Application example

As a simple illustration, let's consider the case of a second-order system whose equations of state, before compensation, are written in matrix form ( $\overset{\cdot}{X} = AX + B$ ) : $(\begin{matrix} {\overset{\cdot}{x}}_{1} \\ {\overset{\cdot}{x}}_{2} \end{matrix}) = (\begin{matrix} - 1 & 1 \\ - ρ & - 1 \end{matrix}) (\begin{matrix} x_{1} \\ x_{2} \end{matrix}) + (\begin{matrix} 1 \\ 10 \end{matrix}) δ$

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References

(1) - BERNSTEIN (D.S.), MICHEL (A.N.) - A chronological bibliography on saturating actuators. - International Journal of Robust and Non linear Control. Vol. 5, n° 5, p. 375 à 380 (août 1995).
(2) - FOSSARD (A.J.) - Méthode du premier harmonique. - Polycopié...

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