## Abstract

This paper proposed a design method of H^{∞} control performance for structural systems using Takagi-Sugeno (T-S) fuzzy model. The structural system with tuned mass damper was modeled by T-S type fuzzy model. By using parallel distributed compensation (PDC) scheme, we design a nonlinear fuzzy controller for the tuned mass damper system. This control problem could be reformulated into linear matrix inequalities (LMI) problem. Furthermore, the tuned mass damper could be designed according to the first mode of frequency of the control system and then the fuzzy controller could be found via Matlab LMI toolbox to stabilize the structural system. A simulation example was given to show the feasibility of the proposed fuzzy controller design method.

Original language | English |
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Title of host publication | Proceedings of the IEEE International Conference on Mechatronics 2004, ICM'04 |

Pages | 340-345 |

Number of pages | 6 |

State | Published - 2004 |

Event | Proceedings of the IEEE International Conference on Mechatronics 2004, ICM'04 - Istanbul, Turkey Duration: 3 Jun 2004 → 5 Jun 2004 |

### Publication series

Name | Proceedings of the IEEE International Conference on Mechatronics 2004, ICM'04 |
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### Conference

Conference | Proceedings of the IEEE International Conference on Mechatronics 2004, ICM'04 |
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Country/Territory | Turkey |

City | Istanbul |

Period | 3/06/04 → 5/06/04 |

## Keywords

- H control
- Linear matrix inequality
- Parallel distributed compensation

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