Continuous-Time Model Identification and State Estimation Using Non-Uniformly Sampled Data
(2010) 19th Int. Symp. Mathematical Theory of Networks and Systems- Abstract
- This contribution reviews theory, algorithms, and validation results for system identification of continuous-time state-space models from finite input-output sequences. The algorithms developed are autoregressive methods, methods of subspace-based model identification and stochastic realization adapted to the continuous-time context. The resulting model can be decomposed into an input-output model and a stochastic innovations model. Using the Riccati equation, we have designed a procedure to provide a reduced-order stochastic model that is minimal with respect to system order as well as the number of stochastic inputs, thereby avoiding several problems appearing in standard application of stochastic realization to the model validation... (More)
- This contribution reviews theory, algorithms, and validation results for system identification of continuous-time state-space models from finite input-output sequences. The algorithms developed are autoregressive methods, methods of subspace-based model identification and stochastic realization adapted to the continuous-time context. The resulting model can be decomposed into an input-output model and a stochastic innovations model. Using the Riccati equation, we have designed a procedure to provide a reduced-order stochastic model that is minimal with respect to system order as well as the number of stochastic inputs, thereby avoiding several problems appearing in standard application of stochastic realization to the model validation problem. Next, theory, algorithms and validation results are presented for system identification of continuous-time state-space models from finite non-uniformly sampled input-output sequences. The algorithms developed are methods of model identification and stochastic realization adapted to the continuous-time model context using non-uniformly sampled input-output data. The resulting model can be decomposed into an input-output model and a stochastic innovations model. For state estimation dynamics and Kalman filters, we have designed a procedure to provide separate continuous-time temporal update and error feedback update based on non-uniformly sampled input-output data. (Less)
Please use this url to cite or link to this publication:
http://lup.lub.lu.se/record/1759737
- author
- Johansson, Rolf ^{LU}
- organization
- publishing date
- 2010
- type
- Contribution to conference
- publication status
- published
- subject
- conference name
- 19th Int. Symp. Mathematical Theory of Networks and Systems
- project
- ROSETTA
- language
- English
- LU publication?
- yes
- id
- ff7e02fa-2e3c-4241-b369-416691b67a3d (old id 1759737)
- date added to LUP
- 2011-01-07 11:29:29
- date last changed
- 2016-08-25 10:34:29
@misc{ff7e02fa-2e3c-4241-b369-416691b67a3d, abstract = {This contribution reviews theory, algorithms, and validation results for system identification of continuous-time state-space models from finite input-output sequences. The algorithms developed are autoregressive methods, methods of subspace-based model identification and stochastic realization adapted to the continuous-time context. The resulting model can be decomposed into an input-output model and a stochastic innovations model. Using the Riccati equation, we have designed a procedure to provide a reduced-order stochastic model that is minimal with respect to system order as well as the number of stochastic inputs, thereby avoiding several problems appearing in standard application of stochastic realization to the model validation problem. Next, theory, algorithms and validation results are presented for system identification of continuous-time state-space models from finite non-uniformly sampled input-output sequences. The algorithms developed are methods of model identification and stochastic realization adapted to the continuous-time model context using non-uniformly sampled input-output data. The resulting model can be decomposed into an input-output model and a stochastic innovations model. For state estimation dynamics and Kalman filters, we have designed a procedure to provide separate continuous-time temporal update and error feedback update based on non-uniformly sampled input-output data.}, author = {Johansson, Rolf}, language = {eng}, title = {Continuous-Time Model Identification and State Estimation Using Non-Uniformly Sampled Data}, year = {2010}, }