Robust ℋ2 Performance: Guaranteeing Margins for LQG Regulators

Paganini, Fernando (1995) Robust ℋ2 Performance: Guaranteeing Margins for LQG Regulators. Technical Report. California Institute of Technology, Pasadena, CA. [CaltechCDSTR:1995.031]

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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.

EPrint Type:	Monograph (Technical Report)
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.
Subjects:	All Records
ID Code:	134
Deposited By:	Caltech Library System
Deposited On:	18 October 2006
Unique Identifier:	CaltechCDSTR:1995.031
Official Persistent URL:	http://resolver.caltech.edu/CaltechCDSTR:1995.031
Usage Policy:	You are granted permission for individual, educational, research and non-commercial reproduction, distribution, display and performance of this work in any format.

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