Issues in Sampling and Estimating Continuous-Time Models with Stochastic Disturbances
2008 (English)In: Proceedings of the 17th IFAC World Congress, 2008, 14360-14365 p.Conference paper (Refereed)
The standard continuous time state space model with stochastic disturbances contains the mathematical abstraction of continuous time white noise. To work with well defined, discrete time observations, it is necessary to sample the model with care. The basic issues are well known, and have been discussed in the literature. However, the consequences have not quite penetrated the practise of estimation and identification. One example is that the standard model of an observation being a snapshot of the current state plus noise independent of the state cannot be reconciled with this picture. Another is that estimation and identification of time continuous models require a more careful treatment of the sampling formulas. We discuss and illustrate these issues in the current contribution. An application of particular practical importance is the estimation of models based on irregularly sampled observations.
Place, publisher, year, edition, pages
2008. 14360-14365 p.
Continuous time system estimation, Grey box modelling, Software for system identification
IdentifiersURN: urn:nbn:se:liu:diva-44707DOI: 10.3182/20080706-5-KR-1001.02433Local ID: 77387ISBN: 978-3-902661-00-5OAI: oai:DiVA.org:liu-44707DiVA: diva2:265569
17th IFAC World Congress, Seoul, South Korea, July, 2008
FunderSwedish Research Council