Cerone, Vito and Piga, Dario and Regruto, Diego
*Set-Membership Error-in-variables identification through convex relaxation techniques.*
IEEE Transactions on Automatic Control , 57 (2).
pp. 517-522.
ISSN 0018-9286
(2012)

## Abstract

In this technical note, the set membership error-in-variables identification problem is considered, that is the identification of linear dynamic systems when both output and input measurements are corrupted by bounded noise. A new approach for the computation of parameter uncertainty intervals is presented. First, the identification problem is formulated in terms of nonconvex optimization. Then, relaxation techniques based on linear matrix inequalities are employed to evaluate parameter bounds by means of convex optimization. The inherent structured sparsity of the original identification problems is exploited to reduce the computational complexity of the relaxed problems. Finally, convergence properties and complexity of the proposed procedure are discussed. Advantages of the presented technique with respect to previously published results are discussed and shown by means of two simulated examples.

Item Type: | Article |
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Identification Number: | 10.1109/TAC.2011.2168073 |

Uncontrolled Keywords: | Errors-in-variables (EIV); linear matrix inequality (LMI) relaxation; set-membership identification; sparse polynomial; optimization |

Subjects: | Q Science > QA Mathematics > QA75 Electronic computers. Computer science |

Research Area: | Computer Science and Applications |

Depositing User: | Ms T. Iannizzi |

Date Deposited: | 13 Jan 2015 13:28 |

Last Modified: | 13 Jan 2015 13:28 |

URI: | http://eprints.imtlucca.it/id/eprint/2467 |

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