### Abstract

The authors present two direct model reference adaptive control (MRAC) algorithms for a class of large-scale interconnected systems that have multi-input, multi-output subsystems and are subjected to a known disturbance. The parameters of each subsystem are assumed to be unknown constants or unknown time-varying in a known bounded range. These algorithms do not require identification of system parameters or satisfaction of the perfect model-following conditions. The output error and the controller parameters are guaranteed to be bounded using a Lyapunov stability theorem. The first algorithm ensures asymptotic stability to a bounded residual set provided that the decoupled subsystem transfer matrix is strict positive real (SPR). The second algorithm relaxes the requirement of the SPR condition at the expense of increasing the size of the residual set. Illustrative examples are presented.

Original language | English |
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Title of host publication | Third Int Symp Intell Control |

Editors | H.E. Stephanou, A. Meystel, J.Y.S. Luh |

Publisher | Publ by IEEE |

Pages | 580-585 |

Number of pages | 6 |

ISBN (Print) | 0818620129 |

Publication status | Published - 1988 |

Event | Third International Symposium on Intelligent Control 1988 - Arlington, VA, USA Duration: Aug 24 1988 → Aug 26 1988 |

### Other

Other | Third International Symposium on Intelligent Control 1988 |
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City | Arlington, VA, USA |

Period | 8/24/88 → 8/26/88 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*Third Int Symp Intell Control*(pp. 580-585). Publ by IEEE.

**Adaptive control of a large-scale system.** / Yousef, H.; Simaan, M.

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

*Third Int Symp Intell Control.*Publ by IEEE, pp. 580-585, Third International Symposium on Intelligent Control 1988, Arlington, VA, USA, 8/24/88.

}

TY - GEN

T1 - Adaptive control of a large-scale system

AU - Yousef, H.

AU - Simaan, M.

PY - 1988

Y1 - 1988

N2 - The authors present two direct model reference adaptive control (MRAC) algorithms for a class of large-scale interconnected systems that have multi-input, multi-output subsystems and are subjected to a known disturbance. The parameters of each subsystem are assumed to be unknown constants or unknown time-varying in a known bounded range. These algorithms do not require identification of system parameters or satisfaction of the perfect model-following conditions. The output error and the controller parameters are guaranteed to be bounded using a Lyapunov stability theorem. The first algorithm ensures asymptotic stability to a bounded residual set provided that the decoupled subsystem transfer matrix is strict positive real (SPR). The second algorithm relaxes the requirement of the SPR condition at the expense of increasing the size of the residual set. Illustrative examples are presented.

AB - The authors present two direct model reference adaptive control (MRAC) algorithms for a class of large-scale interconnected systems that have multi-input, multi-output subsystems and are subjected to a known disturbance. The parameters of each subsystem are assumed to be unknown constants or unknown time-varying in a known bounded range. These algorithms do not require identification of system parameters or satisfaction of the perfect model-following conditions. The output error and the controller parameters are guaranteed to be bounded using a Lyapunov stability theorem. The first algorithm ensures asymptotic stability to a bounded residual set provided that the decoupled subsystem transfer matrix is strict positive real (SPR). The second algorithm relaxes the requirement of the SPR condition at the expense of increasing the size of the residual set. Illustrative examples are presented.

UR - http://www.scopus.com/inward/record.url?scp=0024183717&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024183717&partnerID=8YFLogxK

M3 - Conference contribution

SN - 0818620129

SP - 580

EP - 585

BT - Third Int Symp Intell Control

A2 - Stephanou, H.E.

A2 - Meystel, A.

A2 - Luh, J.Y.S.

PB - Publ by IEEE

ER -