# Nonlinear feedback stabilization of a rotating body-beam without damping

Boumediène CHENTOUF; Jean-François COUCHOURON

ESAIM: Control, Optimisation and Calculus of Variations (2010)

- Volume: 4, page 515-535
- ISSN: 1292-8119

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topCHENTOUF, Boumediène, and COUCHOURON, Jean-François. " Nonlinear feedback stabilization of a rotating body-beam without damping ." ESAIM: Control, Optimisation and Calculus of Variations 4 (2010): 515-535. <http://eudml.org/doc/197338>.

@article{CHENTOUF2010,

abstract = {This paper deals with nonlinear
feedback stabilization problem of a flexible beam clamped at a
rigid body and free at the other end. We assume that there is no
damping and the feedback law proposed here consists of a nonlinear
control torque applied to the rigid body and either a boundary
control moment or a nonlinear boundary control force or both of
them applied to the free end of the beam. This nonlinear
feedback, which insures the exponential decay of the beam
vibrations, extends the linear case studied by Laousy et al. to
a more general class of controls.
},

author = {CHENTOUF, Boumediène, COUCHOURON, Jean-François},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Rotating body-beam; non linear control; exponential stability.; nonlinear control; exponential stability; exponential decay of the beam vibrations},

language = {eng},

month = {3},

pages = {515-535},

publisher = {EDP Sciences},

title = { Nonlinear feedback stabilization of a rotating body-beam without damping },

url = {http://eudml.org/doc/197338},

volume = {4},

year = {2010},

}

TY - JOUR

AU - CHENTOUF, Boumediène

AU - COUCHOURON, Jean-François

TI - Nonlinear feedback stabilization of a rotating body-beam without damping

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2010/3//

PB - EDP Sciences

VL - 4

SP - 515

EP - 535

AB - This paper deals with nonlinear
feedback stabilization problem of a flexible beam clamped at a
rigid body and free at the other end. We assume that there is no
damping and the feedback law proposed here consists of a nonlinear
control torque applied to the rigid body and either a boundary
control moment or a nonlinear boundary control force or both of
them applied to the free end of the beam. This nonlinear
feedback, which insures the exponential decay of the beam
vibrations, extends the linear case studied by Laousy et al. to
a more general class of controls.

LA - eng

KW - Rotating body-beam; non linear control; exponential stability.; nonlinear control; exponential stability; exponential decay of the beam vibrations

UR - http://eudml.org/doc/197338

ER -

## References

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