Published December 1992 | Version Published
Book Section - Chapter Open

Mixed µ upper bound computation

  • 1. ROR icon California Institute of Technology

Abstract

Computation of the mixed real and complex µ upper bound expressed in terms of linear matrix inequalities (LMIs) is considered. Two existing methods are used, the Osborne (1960) method for balancing matrices, and the method of centers as proposed by Boyd and El Ghaoui (1991). These methods are compared, and a hybrid algorithm that combines the best features of each is proposed. Numerical experiments suggest that this hybrid algorithm provides an efficient method to compute the upper bound for mixed µ.

Additional Information

© 1991 IEEE. We would like to thank Micheal Fan and Stephen Boyd for preprints of their papers and/or copies of software, as well as valuable discussions about the material in this paper. We would also like to thank Peter Young and Matt Newlin for lending their Matlab and µ expertise to this project. This work was supported by AFOSR, NSF, and Rockwell.

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Identifiers

Eprint ID
93955
Resolver ID
CaltechAUTHORS:20190319-085951997

Funding

Air Force Office of Scientific Research (AFOSR)
NSF
Rockwell International

Dates

Created
2019-03-19
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Updated
2021-11-16
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