## Abstract

A linear parameter varying approach for designing a constant output feedback controller for a linear time-invariant system with uncertain parameters that achieves a minimum bound on either the H_{2} or the H_{∞} performance level is introduced. Assuming that the uncertain parameters reside in a given polytope a parameter dependent Lyapunov function is described which enables the derivation of the required constant gain via a solution of a set of linear matrix inequalities that correspond to the vertices of the uncertainty polytope.

Original language | English |
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Pages (from-to) | 3476-3481 |

Number of pages | 6 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 3 |

State | Published - 2002 |

Event | 41st IEEE Conference on Decision and Control - Las Vegas, NV, United States Duration: 10 Dec 2002 → 13 Dec 2002 |

## Keywords

- Mixed H/H control for polytopic uncertainty
- Robust H control
- Static output-feedback

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