## Abstract

The problem of designing robust dynamic output-feedback controllers for linear, continuous, time-invariant systems with uncertain time-delay in the measured output and/or the control input and with polytopic type parameter uncertainties is considered. Given a transfer function matrix of a system with uncertain real parameters that reside in some known ranges, an appropriate, not necessarily minimal, state-space model of the system is described which permits reconstruction of its states. The resulting retarded model incorporates the uncertain parameters of the transfer function matrix in the state-space matrices and the uncertain time-delay that occurs in the control channel. To this model, the recent theory of robust H_{∞} state-feedback control for retarded systems is applied. The theory is used to solve a benchmark problem of distillation column robust control design.

Original language | English |
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Pages (from-to) | 193-199 |

Number of pages | 7 |

Journal | Systems and Control Letters |

Volume | 57 |

Issue number | 3 |

DOIs | |

State | Published - Mar 2008 |

## Keywords

- Distillation column
- LMI
- Output feedback
- Polytopic uncertainty
- Robust control H
- Time delay

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