Wang, Weizheng and Doyle, John and Beck, Carolyn and Glover, Keith (1991) Model reduction of LFT systems. In: Proceedings of the 30th IEEE Conference on Decision and Control. Vol.2. IEEE , Piscataway, NJ, pp. 1233-1238. ISBN 0-7803-0450-0. https://resolver.caltech.edu/CaltechAUTHORS:20190319-091249008
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Abstract
The notion of balanced realizations and balanced truncation model reduction, including guaranteed error bounds, is extended to general Q-stable linear fractional transformations (LFTs). Since both multidimensional and uncertain systems are naturally represented using LFTs, this can be interpreted either as doing state order reduction for multidimensional systems or as uncertainty simplification in the case of uncertain systems. The role of Lyapunov equations in the 1D theory is replaced by linear matrix inequalities (LMIs). All proofs are given in detail as they are very short and greatly simplify even the standard 1D case.
Item Type: | Book Section | ||||||
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Additional Information: | © 1991 IEEE. | ||||||
DOI: | 10.1109/CDC.1991.261574 | ||||||
Record Number: | CaltechAUTHORS:20190319-091249008 | ||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190319-091249008 | ||||||
Official Citation: | W. Wang, J. Doyle, C. Beck and K. Glover, "Model reduction of LFT systems," [1991] Proceedings of the 30th IEEE Conference on Decision and Control, Brighton, UK, 1991, pp. 1233-1238 vol.2. doi: 10.1109/CDC.1991.261574 | ||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
ID Code: | 93956 | ||||||
Collection: | CaltechAUTHORS | ||||||
Deposited By: | Tony Diaz | ||||||
Deposited On: | 19 Mar 2019 16:25 | ||||||
Last Modified: | 16 Nov 2021 17:01 |
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