### 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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Pages (from-to) | 3210-3211 |

Number of pages | 2 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

Volume | 4 |

Publication status | Published - Dec 1 1999 |

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

### ASJC Scopus subject areas

- Control and Systems Engineering
- Modelling and Simulation
- Control and Optimization