### Abstract

In this study, an attempt is made to approximately solve the parameterized Riccati equations themselves. This is done by expanding the system and the controllers in a power series in the parameter, the current speed minus the flutter speed. Then each parameterized Riccati equation reduces to an unparameterized Riccati equation for the lowest degree terms plus a sequence of Sylvester equations for the higher terms. The resulting parameterized controllers closely approximate the locally optimal LQR, LQG and H
_{∞} ones over a large parameter range.

Original language | English (US) |
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Title of host publication | Proceedings of the IEEE Conference on Decision and Control |

Publisher | IEEE |

Pages | 3005-3010 |

Number of pages | 6 |

Volume | 3 |

State | Published - 1999 |

Event | The 38th IEEE Conference on Decision and Control (CDC) - Phoenix, AZ, USA Duration: Dec 7 1999 → Dec 10 1999 |

### Other

Other | The 38th IEEE Conference on Decision and Control (CDC) |
---|---|

City | Phoenix, AZ, USA |

Period | 12/7/99 → 12/10/99 |

### Fingerprint

### ASJC Scopus subject areas

- Chemical Health and Safety
- Control and Systems Engineering
- Safety, Risk, Reliability and Quality

### Cite this

*Proceedings of the IEEE Conference on Decision and Control*(Vol. 3, pp. 3005-3010). IEEE.

**LPV control of two dimensional wing flutter.** / Lau, Edmond Y; Krener, A. J.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the IEEE Conference on Decision and Control.*vol. 3, IEEE, pp. 3005-3010, The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, 12/7/99.

}

TY - GEN

T1 - LPV control of two dimensional wing flutter

AU - Lau, Edmond Y

AU - Krener, A. J.

PY - 1999

Y1 - 1999

N2 - In this study, an attempt is made to approximately solve the parameterized Riccati equations themselves. This is done by expanding the system and the controllers in a power series in the parameter, the current speed minus the flutter speed. Then each parameterized Riccati equation reduces to an unparameterized Riccati equation for the lowest degree terms plus a sequence of Sylvester equations for the higher terms. The resulting parameterized controllers closely approximate the locally optimal LQR, LQG and H ∞ ones over a large parameter range.

AB - In this study, an attempt is made to approximately solve the parameterized Riccati equations themselves. This is done by expanding the system and the controllers in a power series in the parameter, the current speed minus the flutter speed. Then each parameterized Riccati equation reduces to an unparameterized Riccati equation for the lowest degree terms plus a sequence of Sylvester equations for the higher terms. The resulting parameterized controllers closely approximate the locally optimal LQR, LQG and H ∞ ones over a large parameter range.

UR - http://www.scopus.com/inward/record.url?scp=0033348962&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033348962&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033348962

VL - 3

SP - 3005

EP - 3010

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -