### Abstract

H_{∞}-system identification using a basis in the disc algebra is presented. The approximate model is represented by a partial sum with respect to this basis. The identification problem is to estimate the expansion coefficients of this partial sum. Since the constructed basis functions cannot be represented analytically, they are approximated in order to arrive at a model in a suitable form. An algorithm is presented which calculates the model parameters from the frequency domain data set.

Original language | English |
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Pages (from-to) | 1117-1122 |

Number of pages | 6 |

Journal | IEEE Transactions on Automatic Control |

Volume | 43 |

Issue number | 8 |

DOIs | |

Publication status | Published - Dec 1 1998 |

### Keywords

- Disc algebra basis
- H identification
- Parameter estimation
- Summation technique
- System identification

### ASJC Scopus subject areas

- Control and Systems Engineering
- Computer Science Applications
- Electrical and Electronic Engineering

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## Cite this

Gianone, L., Bokor, J., & Schipp, F. (1998). Approximate H

_{∞}identification using partial sum operators in a disc algebra basis.*IEEE Transactions on Automatic Control*,*43*(8), 1117-1122. https://doi.org/10.1109/9.704985