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On convexity of H-infinity Riccati solutions and its applicationsThe celebrated two-Riccati-equation solution to a standard H-infinity control problem can be used to characterize all possible stabilizing optimal or suboptimal H-infinity controllers if the optimal H-infinity norm or gamma, an upper bound of a suboptimal H-infinity norm, is given. In this note, some properties of these H-infinity Riccati solutions are revealed. Among them, the most prominent one is that the spectral radius of the product of these two Riccati solutions is a continuous, nonincreasing, convex function of gamma on the domain of interest. Based on these properties, a quadratically convergent algorithm is developed to compute the optimal H-infinity norm.
Document ID
19930067172
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Li, X. P.
(NASA Langley Research Center Hampton, VA, United States)
Chang, B. C.
(Drexel Univ. Philadelphia, PA, United States)
Date Acquired
August 16, 2013
Publication Date
June 1, 1993
Publication Information
Publication: IEEE Transactions on Automatic Control
Volume: 38
Issue: 6
ISSN: 0018-9286
Subject Category
Numerical Analysis
Accession Number
93A51169
Funding Number(s)
CONTRACT_GRANT: F33615-90-C-3600
CONTRACT_GRANT: NAG1-1102
Distribution Limits
Public
Copyright
Other

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