### Abstract

This paper deals with boundary feedback stabilization of a variant of the SCOLE model. Namely, a flexible beam clamped at one end and free at the other end where a rigid body is attached. Using the frequency domain method, we first prove that the considered system is uniformly stabilizable when control force and control moment are simultaneously applied at the free end of the beam. Secondly when only a control force is applied, we give a sufficient condition on the physical parameters of the system to guarantee the uniform stabilization. Finally, it is shown that the presence of boundary control force is necessary to achieve uniform stabilization. To verify these theoretical developments, an asymptotic analysis and numerical study of the spectrum are conducted.

Original language | English |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Pages | 137-142 |

Number of pages | 6 |

Volume | 1 |

Publication status | Published - 2001 |

Event | 40th IEEE Conference on Decision and Control (CDC) - Orlando, FL, United States Duration: Dec 4 2001 → Dec 4 2001 |

### Other

Other | 40th IEEE Conference on Decision and Control (CDC) |
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Country | United States |

City | Orlando, FL |

Period | 12/4/01 → 12/4/01 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 1, pp. 137-142)

**A note on stabilization of a hybrid PDE-ODE system.** / Chentouf, Boumediène.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*vol. 1, pp. 137-142, 40th IEEE Conference on Decision and Control (CDC), Orlando, FL, United States, 12/4/01.

}

TY - GEN

T1 - A note on stabilization of a hybrid PDE-ODE system

AU - Chentouf, Boumediène

PY - 2001

Y1 - 2001

N2 - This paper deals with boundary feedback stabilization of a variant of the SCOLE model. Namely, a flexible beam clamped at one end and free at the other end where a rigid body is attached. Using the frequency domain method, we first prove that the considered system is uniformly stabilizable when control force and control moment are simultaneously applied at the free end of the beam. Secondly when only a control force is applied, we give a sufficient condition on the physical parameters of the system to guarantee the uniform stabilization. Finally, it is shown that the presence of boundary control force is necessary to achieve uniform stabilization. To verify these theoretical developments, an asymptotic analysis and numerical study of the spectrum are conducted.

AB - This paper deals with boundary feedback stabilization of a variant of the SCOLE model. Namely, a flexible beam clamped at one end and free at the other end where a rigid body is attached. Using the frequency domain method, we first prove that the considered system is uniformly stabilizable when control force and control moment are simultaneously applied at the free end of the beam. Secondly when only a control force is applied, we give a sufficient condition on the physical parameters of the system to guarantee the uniform stabilization. Finally, it is shown that the presence of boundary control force is necessary to achieve uniform stabilization. To verify these theoretical developments, an asymptotic analysis and numerical study of the spectrum are conducted.

UR - http://www.scopus.com/inward/record.url?scp=0035707414&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0035707414&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0035707414

VL - 1

SP - 137

EP - 142

BT - Proceedings of the IEEE Conference on Decision and Control

ER -