A lower bound for the mixed µ problem

Young, Peter M. and Doyle, John C. (1997) A lower bound for the mixed µ problem. IEEE Transactions on Automatic Control, 42 (1). pp. 123-128. ISSN 0018-9286. doi:10.1109/9.553696. https://resolver.caltech.edu/CaltechAUTHORS:20190315-100211418

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Abstract

The mixed µ problem has been shown to be NP hard so that exact analysis appears intractable. Our goal then is to exploit the problem structure so as to develop a polynomial time algorithm that approximates µ and usually gives good answers. To this end it is shown that µ is equivalent to a real eigenvalue maximization problem, and a power algorithm is developed to tackle this problem. The algorithm not only provides a lower bound for µ but has the property that µ is (almost) always an equilibrium point of the algorithm.

Item Type:

Article

Related URLs:

URL	URL Type	Description
https://doi.org/10.1109/9.553696	DOI	Article

ORCID:

Author	ORCID
Doyle, John C.	0000-0002-1828-2486

Additional Information:

© 1997 IEEE. Manuscript received January 27, 1995. This work was supported by the NSF, ONR, NASA, and Rockwell. The authors would like to thank A. Packard for helpful discussions and M. Newlin for help in implementing the lower-bound software.

Funders:

Funding Agency	Grant Number
NSF	UNSPECIFIED
Office of Naval Research (ONR)	UNSPECIFIED
NASA	UNSPECIFIED
Rockwell International	UNSPECIFIED

Subject Keywords:

Computational methods, control system analysis, robust control, stability analysis, structured singular value

Issue or Number:

DOI:

10.1109/9.553696

Record Number:

CaltechAUTHORS:20190315-100211418

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20190315-100211418

Official Citation:

P. M. Young and J. C. Doyle, "A lower bound for the mixed µ problem," in IEEE Transactions on Automatic Control, vol. 42, no. 1, pp. 123-128, Jan. 1997. doi: 10.1109/9.553696

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ID Code:

93860

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

15 Mar 2019 17:08

Last Modified:

16 Nov 2021 17:01

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