Published December 1, 1995
| Version public
Technical Report
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Robust ℋ2 Performance: Guaranteeing Margins for LQG Regulators
Creators
Abstract
This paper shows that ℋ2 (LQG) performance specifications can be combined with structured uncertainty in the system, yielding robustness analysis conditions of the same nature and computational complexity as the corresponding conditions for ℋ∞ performance. These conditions are convex feasibility tests in terms of Linear Matrix Inequalities, and can be proven to be necessary and sufficient under the same conditions as in the ℋ∞ case. With these results, the tools of robust control can be viewed as coming full circle to treat the problem where it all began: guaranteeing margins for LQG regulators.
Additional Information
The author would like to thank John Doyle who suggested the consideration of this problem and helped with useful pointers to the appropriate tools, and Raffaello D'Andrea and Geir Dullerud for helpful discussions and suggestions. This research was sponsored by AFOSR.Files
CDS95-031.pdf
Additional details
Identifiers
- Eprint ID
- 28108
- Resolver ID
- CaltechCDSTR:1995.031
Dates
- Created
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2006-10-18Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field
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- Control and Dynamical Systems Technical Reports