### Abstract

A regulator problem for a heat conduction system, of which the eigenstructure is just partially known, is formulated to design a stabilizing controller that keeps a performance index less than a prescribed value. The index is made of the spatio integral of the squared deviation from reference temperature distribution. It is shown that through characterizing frequency response from input to temperature at each spatial point, a distributed parameter system with nominal model and additive uncertainty weight, both of which are real rational, is reconstructed using knowledge of the eigenstructure. A main result claims that the formulated problem is reduced to a standard mixed H_{2}/H_{∞} one for a linear finite dimensional time-invariant system. Numerical study demonstrates feasibility of the proposed design scheme.

Original language | English |
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Title of host publication | Proceedings of the 16th IFAC World Congress, IFAC 2005 |

Pages | 119-124 |

Number of pages | 6 |

Publication status | Published - Dec 1 2005 |

Event | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 - Prague, Czech Republic Duration: Jul 3 2005 → Jul 8 2005 |

### Publication series

Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
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Volume | 16 |

ISSN (Print) | 1474-6670 |

### Other

Other | 16th Triennial World Congress of International Federation of Automatic Control, IFAC 2005 |
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Country | Czech Republic |

City | Prague |

Period | 7/3/05 → 7/8/05 |

### Keywords

- Distributed-parameter systems
- Modeling errors
- Uncertainty

### ASJC Scopus subject areas

- Control and Systems Engineering

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## Cite this

*Proceedings of the 16th IFAC World Congress, IFAC 2005*(pp. 119-124). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 16).