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State-space solutions to standard H_2 and H_∞ control problems

Doyle, John and Glover, Keith and Khargonekar, Pramod and Francis, Bruce (1988) State-space solutions to standard H_2 and H_∞ control problems. In: 1988 American Control Conference. IEEE , Piscataway, NJ, pp. 1691-1696. http://resolver.caltech.edu/CaltechAUTHORS:20170712-162848745

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Abstract

Simple state-space formulas are presented for a controller solving a standard H_∞-problem. The controller has the same state-dimension as the plant, its computation involves only two Riccati equations, and it has a separation structure reminiscent of classical LQG (i.e., H_2) theory. This paper is also intended to be of tutorial value, so a standard H_2-solution is developed in parallel.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.23919/ACC.1988.4789992DOIArticle
http://resolver.caltech.edu/CaltechAUTHORS:DOYieeetac89Related ItemJournal Article
ORCID:
AuthorORCID
Doyle, John0000-0002-1828-2486
Additional Information:© 1988 IEEE. The authors acknowledge financial support from AFOSR, NASA, NSF, ONR (USA), SERC (UK), and NSERC (Canada).
Funders:
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
NASAUNSPECIFIED
NSFUNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Science and Engineering Research Council (SERC)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Record Number:CaltechAUTHORS:20170712-162848745
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20170712-162848745
Official Citation:J. Doyle, K. Glover, P. Khargonekar and B. Francis, "State-space solutions to standard H2 and H∞ control problems," 1988 American Control Conference, Atlanta, Ga, USA, 1988, pp. 1691-1696.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:79036
Collection:CaltechAUTHORS
Deposited By: Kristin Buxton
Deposited On:13 Jul 2017 03:10
Last Modified:12 Mar 2019 23:45

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