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Mixed H_2 and H∞ performance objectives. I. Robust performance analysis

Zhou, Kemin and Glover, Keith and Bodenheimer, Bobby and Doyle, John (1994) Mixed H_2 and H∞ performance objectives. I. Robust performance analysis. IEEE Transactions on Automatic Control, 39 (8). pp. 1564-1574. ISSN 0018-9286.

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This paper introduces an induced-norm formulation of a mixed H_2 and H∞ performance criterion. It is shown that different mixed H_2 and H∞ norms arise from different assumptions on the input signals. While most mixed norms can be expressed explicitly using either transfer functions or state-space realizations of the system, there are cases where the explicit formulas are very hard to obtain. In the later cases, examples are given to show the intrinsic nature and difficulty of the problem. Mixed norm robust performance analysis under structured uncertainty is also considered in the paper.

Item Type:Article
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Doyle, John0000-0002-1828-2486
Additional Information:© 1994 IEEE. Manuscript received March 2, 1992: revised April 27, 1993. The authors would like to thank the reviewers detailed and helpful comments.
Issue or Number:8
Record Number:CaltechAUTHORS:20190318-130328590
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Official Citation:Kemin Zhou, K. Glover, B. Bodenheimer and J. Doyle, "Mixed H_2 and H∞ performance objectives. I. Robust performance analysis" in IEEE Transactions on Automatic Control, vol. 39, no. 8, pp. 1564-1574, Aug. 1994. doi: 10.1109/9.310030
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93926
Deposited By: Tony Diaz
Deposited On:18 Mar 2019 20:24
Last Modified:03 Oct 2019 20:59

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