Structured singular value with repeated scalar blocks
- Creators
- Packard, Andy
- Doyle, John
Abstract
The structured singular value, μ, is an important linear algebra tool to study a class of matrix perturbation problems, [Doy]. It is useful for analyzing the robustness of stability and performance of dynamical systems [DoyWS]. This paper studies uncertainty structures involving repeated scalar parameters in more detail than in [Doy]. In [DoyP], it was shown that the frequency domain μ tests of [DoyWS] can conceptually be reduced to a single constant matrix μ test, but the uncertainty structure must be augmented with a large repeated scalar block. This paper studies the properties of μ and the upper bound with these types of uncertainty blocks, and compares the frequency domain vs. state space μ based tests, assuming that the upper bound is what can be reliably computed.
Additional Information
© 1988 IEEE. The authors gratefully acknowledge financial support from AFOSR, NASA and ONR.Attached Files
Published - 04789905.pdf
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Additional details
- Eprint ID
- 79033
- Resolver ID
- CaltechAUTHORS:20170712-154141091
- Air Force Office of Scientific Research (AFOSR)
- Office of Naval Research (ONR)
- NASA
- Created
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2017-07-13Created from EPrint's datestamp field
- Updated
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2019-10-03Created from EPrint's last_modified field