### Abstract

In this article, delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying delay and nonlinear dynamical perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state. Two main problems are investigated. In the first problem, an adaptive control scheme is developed to guarantee asymptotic stabilization of the closed-loop system when the weight of the state norm is assumed to be known. In the second problem, asymptotically stabilizing adaptive controller is derived when the weight of the state norm is assumed to be unknown. A numerical simulation example, that illustrates the two design approaches, is presented.

Original language | English |
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Title of host publication | Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC |

Pages | 2795-2800 |

Number of pages | 6 |

Publication status | Published - 2006 |

Externally published | Yes |

Event | 45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, United States Duration: 13 Dec 2006 → 15 Dec 2006 |

### Other

Other | 45th IEEE Conference on Decision and Control 2006, CDC |
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Country | United States |

City | San Diego, CA |

Period | 13/12/06 → 15/12/06 |

### Fingerprint

### ASJC Scopus subject areas

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

### Cite this

*Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC*(pp. 2795-2800). [4177593]

**Delay-dependent adaptive control of uncertain time-delay systems.** / Nounou, Hazem.

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

*Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC.*, 4177593, pp. 2795-2800, 45th IEEE Conference on Decision and Control 2006, CDC, San Diego, CA, United States, 13/12/06.

}

TY - GEN

T1 - Delay-dependent adaptive control of uncertain time-delay systems

AU - Nounou, Hazem

PY - 2006

Y1 - 2006

N2 - In this article, delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying delay and nonlinear dynamical perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state. Two main problems are investigated. In the first problem, an adaptive control scheme is developed to guarantee asymptotic stabilization of the closed-loop system when the weight of the state norm is assumed to be known. In the second problem, asymptotically stabilizing adaptive controller is derived when the weight of the state norm is assumed to be unknown. A numerical simulation example, that illustrates the two design approaches, is presented.

AB - In this article, delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying delay and nonlinear dynamical perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state. Two main problems are investigated. In the first problem, an adaptive control scheme is developed to guarantee asymptotic stabilization of the closed-loop system when the weight of the state norm is assumed to be known. In the second problem, asymptotically stabilizing adaptive controller is derived when the weight of the state norm is assumed to be unknown. A numerical simulation example, that illustrates the two design approaches, is presented.

UR - http://www.scopus.com/inward/record.url?scp=39549116001&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=39549116001&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:39549116001

SN - 1424401712

SN - 9781424401710

SP - 2795

EP - 2800

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

ER -