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Mixed H_2 and H∞ performance objectives. II. Optimal control

Doyle, John and Zhou, Kemin and Glover, Keith and Bodenheimer, Bobby (1994) Mixed H_2 and H∞ performance objectives. II. Optimal control. IEEE Transactions on Automatic Control, 39 (8). pp. 1575-1587. ISSN 0018-9286. https://resolver.caltech.edu/CaltechAUTHORS:20190315-110821041

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Abstract

This paper considers the analysis and synthesis of control systems subject to two types of disturbance signals: white signals and signals with bounded power. The resulting control problem involves minimizing a mixed H_2 and H∞ norm of the system. It is shown that the controller shares a separation property similar to those of pure H_2 or H∞ controllers. Necessary conditions and sufficient conditions are obtained for the existence of a solution to the mixed problem. Explicit state-space formulas are also given for the optimal controller.


Item Type:Article
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/9.310031DOIArticle
ORCID:
AuthorORCID
Doyle, John0000-0002-1828-2486
Additional Information:© 1994 IEEE. Manuscript received July 3, 1992; revised April 27, 1993. IEEE Log Number 9402136. The authors would like to thank the reviewers for their detailed and helpful comments.
Issue or Number:8
Record Number:CaltechAUTHORS:20190315-110821041
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190315-110821041
Official Citation:J. Doyle, K. Zhou, K. Glover and B. Bodenheimer, "Mixed H_2 and H∞ performance objectives. II. Optimal control," in IEEE Transactions on Automatic Control, vol. 39, no. 8, pp. 1575-1587, Aug. 1994. doi: 10.1109/9.310031
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93868
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:15 Mar 2019 18:16
Last Modified:03 Oct 2019 20:58

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