Published January 1993
| Version Submitted
Journal Article
Open
The complex structured singular value
Creators
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1.
University of California, Berkeley
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2.
California Institute of Technology
Abstract
A tutorial introduction to the complex structured singular value (μ) is presented, with an emphasis on the mathematical aspects of μ. The μ-based methods discussed here have been useful for analysing the performance and robustness properties of linear feedback systems. Several tests for robust stability and performance with computable bounds for transfer functions and their state space realizations are compared, and a simple synthesis problem is studied. Uncertain systems are represented using Linear Fractional Transformations (LFTs) which naturally unify the frequency-domain and state space methods.
Additional Information
© 1992 Elsevier. Received 13 February 1992, Revised 23 July 1992. The authors gratefully acknowledge helpful discussions with Blaise Morton, Sigurd Skogestad, Peter Young, Michael Fan, and Kemin Zhou and excellent comments on this paper from Carolyn Beck and Jorge Tierno. Thanks also to Matt Newlin, Sharon Laubach, Brian Clendenin, and Sonja Glavaski for useful suggestions. Financial support for this work came from the National Science Foundation (grants ECS-8909499, CTS-9057420, and ECS-8657814), AFOSR, ONR, NASA, Honeywell, Rockwell International, and the Berkeley Engineering Fund.Attached Files
Submitted - musurvey.pdf
Files
musurvey.pdf
Additional details
Identifiers
- Eprint ID
- 75933
- Resolver ID
- CaltechAUTHORS:20170408-142303477
Funding
- NSF
- ECS-8909499
- NSF
- CTS-905742
- NSF
- ECS-8657814
- Air Force Office of Scientific Research (AFOSR)
- Office of Naval Research (ONR)
- NASA
- Honeywell Incorporated
- Rockwell International
- Berkeley Engineering Fund
Dates
- Created
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2017-04-21Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field