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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.

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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
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URLURL TypeDescription ItemJournal Article
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).
Funding AgencyGrant Number
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
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
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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
Deposited By: Kristin Buxton
Deposited On:13 Jul 2017 03:10
Last Modified:15 Nov 2021 17:45

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