## Abstract

In this note, we address two design problems for Linear Parameter-Varying (LPV) systems; Gain-Scheduled (GS) H_{2} state-feedback controller design and GS H_{∞} state-feedback controller design. In sharp contrast to the methods in the literature, the scheduling parameters are supposed to be inexactly measured. The LPV systems are supposed to have polynomially parameter-dependent statespace matrices, and the controllers to be designed are supposed to be rationally parameter-dependent. Using a parametrically affine matrix, which is the inverse of Lyapunov variable, we give formulations for the design of GS H_{2} and H_{∞} state-feedback controllers which are robust against the uncertainties in the measured scheduling parameters, in terms of parametrically affine Linear Matrix Inequalities (LMIs). As a special case, our methods include robust controller design using constant Lyapunov variables. Simple numerical examples are included to illustrate our results.

Original language | English |
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Title of host publication | Proceedings of the 2010 American Control Conference, ACC 2010 |

Pages | 3094-3099 |

Number of pages | 6 |

Publication status | Published - Oct 15 2010 |

Externally published | Yes |

Event | 2010 American Control Conference, ACC 2010 - Baltimore, MD, United States Duration: Jun 30 2010 → Jul 2 2010 |

### Publication series

Name | Proceedings of the 2010 American Control Conference, ACC 2010 |
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### Conference

Conference | 2010 American Control Conference, ACC 2010 |
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Country/Territory | United States |

City | Baltimore, MD |

Period | 6/30/10 → 7/2/10 |

## All Science Journal Classification (ASJC) codes

- Control and Systems Engineering

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