### Abstract

This paper considers the problem of approximating a possibly infinite-dimensional multi-input multi-output (MIMO) system by a finite-dimensional system. Unlike most methods which appear in the literature, the method discussed here does not assume a priori knowledge of an analytic expression (i.e. transfer function). An L
^{2} approximation problem is formulated and a closed form solution is presented. Several examples are provided in order to demonstrate the shortcomings as well as the positive aspects of the technique. The examples include a delay system, a damped Euler-Bernoulli Beam, and a model of an F-8 aircraft.

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

Editors | Anon |

Publisher | IEEE |

Pages | 551-556 |

Number of pages | 6 |

Volume | 1 |

State | Published - 1993 |

Event | Proceedings of the 32nd Conference on Decision and Control - San Antonio, TX, USA Duration: Dec 15 1993 → Dec 15 1993 |

### Other

Other | Proceedings of the 32nd Conference on Decision and Control |
---|---|

City | San Antonio, TX, USA |

Period | 12/15/93 → 12/15/93 |

### 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. 1, pp. 551-556). IEEE.

**System identification from a frequency response.** / Mahloch, Shawn H.; Rodriguez, Armando.

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 1, IEEE, pp. 551-556, Proceedings of the 32nd Conference on Decision and Control, San Antonio, TX, USA, 12/15/93.

}

TY - GEN

T1 - System identification from a frequency response

AU - Mahloch, Shawn H.

AU - Rodriguez, Armando

PY - 1993

Y1 - 1993

N2 - This paper considers the problem of approximating a possibly infinite-dimensional multi-input multi-output (MIMO) system by a finite-dimensional system. Unlike most methods which appear in the literature, the method discussed here does not assume a priori knowledge of an analytic expression (i.e. transfer function). An L 2 approximation problem is formulated and a closed form solution is presented. Several examples are provided in order to demonstrate the shortcomings as well as the positive aspects of the technique. The examples include a delay system, a damped Euler-Bernoulli Beam, and a model of an F-8 aircraft.

AB - This paper considers the problem of approximating a possibly infinite-dimensional multi-input multi-output (MIMO) system by a finite-dimensional system. Unlike most methods which appear in the literature, the method discussed here does not assume a priori knowledge of an analytic expression (i.e. transfer function). An L 2 approximation problem is formulated and a closed form solution is presented. Several examples are provided in order to demonstrate the shortcomings as well as the positive aspects of the technique. The examples include a delay system, a damped Euler-Bernoulli Beam, and a model of an F-8 aircraft.

UR - http://www.scopus.com/inward/record.url?scp=0027709916&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027709916&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0027709916

VL - 1

SP - 551

EP - 556

BT - Proceedings of the IEEE Conference on Decision and Control

A2 - Anon, null

PB - IEEE

ER -