The quantification of large SNR for MLE of ARARMAX models

Research output: Contribution to conferencePaperpeer-review

Electronic versions

DOI

  • Y. Zou
    University of Manchester
  • W.P. Heath
    University of Manchester
Maximum likelihood estimation(MLE) is widely applied in system identification because it is consistent and has excellent convergence properties. However gradient based optimization of likelihood function might end up in local convergence. It is known that for ARMAX and ARARX models, providing a large enough Signal-to-Noise-Ratio(SNR) will avoid the potential local convergence. We show the same condition can be extended to ARARMAX models in this paper. To ease the application of this condition, the exact value of such SNR needs to be quantified. Here we realize the quantification by constrained optimization.
Original languageUnknown
Pages5108-5113
Number of pages6
DOIs
Publication statusPublished - 29 Jan 2010
Externally publishedYes
EventProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference - Shanghai, China
Duration: 15 Dec 200918 Dec 2009

Conference

ConferenceProceedings of the 48h IEEE Conference on Decision and Control (CDC) held jointly with 2009 28th Chinese Control Conference
Country/TerritoryChina
CityShanghai
Period15/12/0918/12/09
View graph of relations