### Abstract

A computational algorithm for maximizing the control efficiency in actively controlling the elastic structural responses during earthquake is proposed. Study of optimal linear control using a single degree of freedom shows that applying active control is very effective in reducing the structural displacement and velocity responses for long-period structures, but at the same time it has an adverse effect in increasing the absolute acceleration response. The extent of this adverse effect reduces the effectiveness of the control system, and therefore it poses a limit on the maximum control force in order to provide maximum control efficiency. In view of this shortcoming, maximum control energy dissipation is used to define the most effective optimal linear control law. Less displacement and velocity response are expected as larger control force is applied, but there is always a limit that maximum control energy can be dissipated. This study shows that this limit depends on the structural characteristics as well as the input ground motion, and a general trend is that the maximum control energy decreases as damping increases. Finally, application of the proposed algorithm on a six-storey hospital building is presented to show the effectiveness of using optimal linear control on a multi-degree-of-freedom system from the control energy perspectives.

Original language | English |
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Pages (from-to) | 1747-1768 |

Number of pages | 22 |

Journal | Earthquake Engineering and Structural Dynamics |

Volume | 30 |

Issue number | 12 |

DOIs | |

State | Published - 1 Jan 2001 |

### Keywords

- Control efficiency
- Control energy
- Earthquake response
- Optimal linear control
- Structural dynamics

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## Cite this

*Earthquake Engineering and Structural Dynamics*,

*30*(12), 1747-1768. https://doi.org/10.1002/eqe.76