### Abstract

This paper presents a closed-loop identification method based on the construction of generalized orthonormal basis functions (GOBF). It modifies the two-stage method, which applies the finite impulse (FIR) model structure to one that uses GOBF functions. Identification of a FIR model has some important advantages, however it fails to be successful when the number of coefficients to be estimated becomes large. With appropriately chosen basis functions where the basis is generated by all-pass functions having poles close to the poles of the system, the convergence rate of the series expansion can be extremely fast. The paper gives the algorithm of the closed-loop identification, and it demonstrates the method in a numerical example.

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

Publisher | IEEE |

Pages | 3210-3211 |

Number of pages | 2 |

Volume | 4 |

Publication status | 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) |
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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. 4, pp. 3210-3211). IEEE.

**Closed-loop identification using generalized orthonormal basis functions.** / Gáspár, P.; Szabó, Z.; Bokor, J.

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

*Proceedings of the IEEE Conference on Decision and Control.*vol. 4, IEEE, pp. 3210-3211, The 38th IEEE Conference on Decision and Control (CDC), Phoenix, AZ, USA, 12/7/99.

}

TY - GEN

T1 - Closed-loop identification using generalized orthonormal basis functions

AU - Gáspár, P.

AU - Szabó, Z.

AU - Bokor, J.

PY - 1999

Y1 - 1999

N2 - This paper presents a closed-loop identification method based on the construction of generalized orthonormal basis functions (GOBF). It modifies the two-stage method, which applies the finite impulse (FIR) model structure to one that uses GOBF functions. Identification of a FIR model has some important advantages, however it fails to be successful when the number of coefficients to be estimated becomes large. With appropriately chosen basis functions where the basis is generated by all-pass functions having poles close to the poles of the system, the convergence rate of the series expansion can be extremely fast. The paper gives the algorithm of the closed-loop identification, and it demonstrates the method in a numerical example.

AB - This paper presents a closed-loop identification method based on the construction of generalized orthonormal basis functions (GOBF). It modifies the two-stage method, which applies the finite impulse (FIR) model structure to one that uses GOBF functions. Identification of a FIR model has some important advantages, however it fails to be successful when the number of coefficients to be estimated becomes large. With appropriately chosen basis functions where the basis is generated by all-pass functions having poles close to the poles of the system, the convergence rate of the series expansion can be extremely fast. The paper gives the algorithm of the closed-loop identification, and it demonstrates the method in a numerical example.

UR - http://www.scopus.com/inward/record.url?scp=0033314297&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0033314297&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:0033314297

VL - 4

SP - 3210

EP - 3211

BT - Proceedings of the IEEE Conference on Decision and Control

PB - IEEE

ER -