Published December 1998
| Published
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Upper bounds for mixed H^2/H^∞ control
- Creators
-
Hassibi, Babak
- Kailath, Thomas
Abstract
We consider the mixed H^2/H^∞ control problem of choosing a controller to minimize the H^2 norm of a given closed-loop map, subject to the H^∞ norm of another closed-loop map being less than a prescribed value γ. Let d_2 and γ_2 denote the H^2 and H^∞ norms for the pure H^2-optimal solution (without any H^∞ constraint), and let d_c and γ_c < γ denote the H^2 and H^∞ norms for any solution that yields an H^∞ norm strictly less than γ (such as, say, the central solution). Then if d_m denotes the optimal H2 norm that can be achieved in the mixed H^2/H^∞ control problem, we show that (d^2_m - d^2_2)/(d^_c - d^2_2) ⩽ ((γ_2 - γ)/(γ_2 - γ_c))^2 < ((γ^2_2 - γ^2)/(γ^2_2 - γ^2_c))^2 < 1.
Additional Information
© 1998 IEEE. This work was supported in part by DARPA through the Department of Air Force under contract F49620-95-1-0525-P00001 and by the Joint Service Electronics Program at Stanford under contract DAAH04-94-G-0058-P00003.Attached Files
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Additional details
- Eprint ID
- 54851
- Resolver ID
- CaltechAUTHORS:20150217-075137959
- Air Force Office of Scientific Research (AFOSR)
- F49620-95-1-0525-P00001
- Joint Service Electronics Program
- DAAH04-94-G-0058-P00003
- Defense Advanced Research Projects Agency (DARPA)
- Created
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2015-02-28Created from EPrint's datestamp field
- Updated
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2021-11-10Created from EPrint's last_modified field