A novel linear quadratic observer and tracker for the linear sampled data regular system with a direct feedthrough term: a digital redesign approach

This paper develops a novel linear quadratic observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. At the beginning, we use some existing techniques to decompose the singular system into an equivalent regular system which has a direct t...

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Bibliographic Details
Published in:IMA journal of mathematical control and information 2013-03, Vol.30 (1), p.129-154
Main Authors: Chen, C.-H., Tsai, J. S. H., Lin, M.-J., Guo, S.-M., Shieh, L.-S.
Format: Article
Language:English
Subjects:
Analogue
Digital
Equivalence
Linear quadratic
Observers
Redesign
Sampled data
State estimation
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Summary:This paper develops a novel linear quadratic observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. At the beginning, we use some existing techniques to decompose the singular system into an equivalent regular system which has a direct transmission term from input to output. Then, based on this equivalent regular system, a high-gain optimal linear quadratic analogue observer and tracker is proposed, so that it can effectively induce a high-quality performance on the trajectory-tracking design and the state estimation. Besides, the prediction-based digital redesign method is utilized to obtain a relatively low-gain and implementable digital tracker and observer from the theoretically well-designed high-gain analogue observer and tracker for the linear sampled data regular system with a direct transmission term from input to output. Several illustrated examples are given to demonstrate the performance and effectiveness of the proposed method.
ISSN:0265-0754
1471-6887
DOI:10.1093/imamci/dns015