Yu, Thomas K. and Seinfeld, John H. and Ray, W. Harmon (1974) Filtering in nonlinear time delay systems. IEEE Transactions on Automatic Control, 19 (4). pp. 324-333. ISSN 0018-9286. doi:10.1109/TAC.1974.1100579. https://resolver.caltech.edu/CaltechAUTHORS:20150115-123226682
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Abstract
Linear and nonlinear (extended Kalman-Bucy) filters are derived for systems governed by coupled partial and integro-differential equations. The framework used is sufficiently general that filters for 1) lumped parameter systems having multiple time varying or constant time delays, 2) coupled lumped and hyperbolic distributed parameter systems, and 3) lumped parameter systems with functional time delays, evolve as special cases. Although the filtering equations are the final result, the corresponding smoothing equations are developed as well. The performance of the filter is illustrated through application to a well stirred chemical reactor with external heat exchange.
Item Type: | Article | |||||||||
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Additional Information: | © 1974 IEEE. Manuscript received January 18, 1973; revised July 26, 1973. | |||||||||
Subject Keywords: | Delay systems Distributed systems, nonlinear Kalman filtering Nonlinear systems, continuous-time Smoothing methods State estimation | |||||||||
Issue or Number: | 4 | |||||||||
DOI: | 10.1109/TAC.1974.1100579 | |||||||||
Record Number: | CaltechAUTHORS:20150115-123226682 | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20150115-123226682 | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 53786 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Katherine Johnson | |||||||||
Deposited On: | 15 Jan 2015 20:39 | |||||||||
Last Modified: | 10 Nov 2021 20:07 |
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