## Abstract

Sampled-data H_{∞} control of linear systems is considered. The measured output is sampled and the only restriction on the sampling is that the distance between sequel sampling times does not exceed a given bound. A novel performance index is introduced which takes into account the sampling rates of the measurement and it is thus related to the energy of the measurement noise. A novel structure is adopted for the proposed controllers where the dynamics of the controller is affected by the continuous-time state vector and the sampled value of this vector. A new approach, which was recently introduced to sampled-data stabilization is developed: the system is modeled as a continuous-time one, where the measurement output has a piecewise-continuous delay. A simple solution to the H_{∞} control problem is derived in terms of Linear Matrix Inequalities (LMIs).

Original language | English |
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Title of host publication | ROCOND'06 - 5th IFAC Symposium on Robust Control Design, Final Program with Abstracts |

Publisher | IFAC Secretariat |

Pages | 77-82 |

Number of pages | 6 |

Edition | PART 1 |

ISBN (Print) | 9783902661104 |

DOIs | |

State | Published - 2006 |

### Publication series

Name | IFAC Proceedings Volumes (IFAC-PapersOnline) |
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Number | PART 1 |

Volume | 5 |

ISSN (Print) | 1474-6670 |

## Keywords

- Delay model
- LMI
- Sampled-data control

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