### Abstract

In this article, resilient delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying state delay, nonlinear dynamical perturbation, and controller gain perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state such that the upper value of the weight is unknown, and the norm of the uncertainty of the state feedback gain is assumed to be bounded by a positive constant. The results presented here can be considered as extension of previous work that assumes that the upper value of the nonlinear perturbation weight is known. Here, adaptive control schemes are developed to guarantee asymptotic stabilization of the closed-loop system when the upper bound of the state feedback gain perturbation is known and unknown.

Original language | English |
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Title of host publication | Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 |

Pages | 4001-4006 |

Number of pages | 6 |

DOIs | |

Publication status | Published - 2008 |

Event | 47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: 9 Dec 2008 → 11 Dec 2008 |

### Other

Other | 47th IEEE Conference on Decision and Control, CDC 2008 |
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Country | Mexico |

City | Cancun |

Period | 9/12/08 → 11/12/08 |

### Fingerprint

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization

### Cite this

*Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008*(pp. 4001-4006). [4739027] https://doi.org/10.1109/CDC.2008.4739027

**Resilient adaptive control of uncertain time-delay systems - A delay-dependent approach.** / Nounou, Hazem; Nounou, Mohamed.

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

*Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008.*, 4739027, pp. 4001-4006, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 9/12/08. https://doi.org/10.1109/CDC.2008.4739027

}

TY - GEN

T1 - Resilient adaptive control of uncertain time-delay systems - A delay-dependent approach

AU - Nounou, Hazem

AU - Nounou, Mohamed

PY - 2008

Y1 - 2008

N2 - In this article, resilient delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying state delay, nonlinear dynamical perturbation, and controller gain perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state such that the upper value of the weight is unknown, and the norm of the uncertainty of the state feedback gain is assumed to be bounded by a positive constant. The results presented here can be considered as extension of previous work that assumes that the upper value of the nonlinear perturbation weight is known. Here, adaptive control schemes are developed to guarantee asymptotic stabilization of the closed-loop system when the upper bound of the state feedback gain perturbation is known and unknown.

AB - In this article, resilient delay-dependent adaptive control algorithms are developed for closed-loop stabilization of a class of uncertain time-delay systems with time-varying state delay, nonlinear dynamical perturbation, and controller gain perturbation. The norm of the nonlinear perturbation is assumed to be bounded by a weighted norm of the state such that the upper value of the weight is unknown, and the norm of the uncertainty of the state feedback gain is assumed to be bounded by a positive constant. The results presented here can be considered as extension of previous work that assumes that the upper value of the nonlinear perturbation weight is known. Here, adaptive control schemes are developed to guarantee asymptotic stabilization of the closed-loop system when the upper bound of the state feedback gain perturbation is known and unknown.

UR - http://www.scopus.com/inward/record.url?scp=62949245140&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=62949245140&partnerID=8YFLogxK

U2 - 10.1109/CDC.2008.4739027

DO - 10.1109/CDC.2008.4739027

M3 - Conference contribution

SN - 9781424431243

SP - 4001

EP - 4006

BT - Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008

ER -