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Mixed H_2 and H∞ control

Zhou, Kemin and Doyle, John and Glover, Keith and Bodenheimer, Bobby (1990) Mixed H_2 and H∞ control. In: 1990 American Control Conference. IEEE , Piscataway, NJ, pp. 2502-2507. https://resolver.caltech.edu/CaltechAUTHORS:20190313-085246171

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Abstract

Mixed H_2 and H∞ norm analysis and synthesis problems are considered in this paper. It is shown that the mixed norm analysis combined with structured uncertainty can be used to give bounds on robust H_2 and H∞ performance. It is also shown that the mixed norm controller shares a separation property similar to those of pure H_2 or H∞ controllers. The obvious advantage for a mixed norm is that it gives a natural trade-off between H_2 performance and H∞ performance, and provides a potential framework for extending the μ-synthesis framework to address robust H_2 performance. A simple example is used to motivate the possible advantages such a framework might have over a pure H∞ theory.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.23919/ACC.1990.4791177DOIArticle
ORCID:
AuthorORCID
Doyle, John0000-0002-1828-2486
Additional Information:© 1990 IEEE.
Record Number:CaltechAUTHORS:20190313-085246171
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190313-085246171
Official Citation:K. Zhou, J. Doyle, K. Glover and B. Bodenheimer, "Mixed H2 and H∞ control," 1990 American Control Conference, San Diego, CA, USA, 1990, pp. 2502-2507. doi: 10.23919/ACC.1990.4791177
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93758
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:13 Mar 2019 15:58
Last Modified:03 Oct 2019 20:57

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