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THÈSE DE DOCTORAT Ecole Doctorale « Sciences et ...

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64 Chapitre 3. Backstepping robuste échantillonné<br />

rag replacements<br />

η<br />

4<br />

3.5<br />

3<br />

2.5<br />

2<br />

1.5<br />

1<br />

0.5<br />

0<br />

−0.5<br />

0 0.5 1 1.5 2 2.5 3 3.5 4<br />

t<br />

continu<br />

émulation<br />

redesign<br />

50<br />

0<br />

u cont<br />

−50<br />

ξ<br />

−100<br />

0 0.5 1 1.5 2 2.5 3 3.5 4<br />

t<br />

Fig. 3.3 – Simulations pour η(0) = ξ(0) = 2 <strong>et</strong> T = 0.015<br />

7000<br />

6000<br />

5000<br />

continu<br />

rag replacements<br />

u<br />

4000<br />

3000<br />

2000<br />

émulation<br />

redesign<br />

ξ<br />

1000<br />

0<br />

u cont<br />

−1000<br />

−2000<br />

0 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 1.8 2<br />

t<br />

Fig. 3.4 – Signaux de commande pour η(0) = ξ(0) = 2 <strong>et</strong> T = 0.015

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