H∞ control of LFT systems: an LMI approach

Lu, Wei-Min and Doyle, John C. (1992) H∞ control of LFT systems: an LMI approach. In: Proceedings of the 31st IEEE Conference on Decision and Control. Vol.2. IEEE , Piscataway, NJ, pp. 1997-2001. ISBN 0-7803-0872-7. https://resolver.caltech.edu/CaltechAUTHORS:20190319-080533883

PDF - Published Version
See Usage Policy.
418kB

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190319-080533883

Abstract

The standard H∞ control problem for linear state-space systems is extended to general LFT systems, which involve a LFT (linear fractional transformation) on a structured free parameter Delta and can be interpreted as structuredly perturbed uncertain systems. Two generalizations of H∞ performance are considered, referred too as µ-performance and Q-performance with the latter implying the former. Necessary and sufficient conditions for a system to have Q-performance and for the existence of a controller yielding Q-performance can be expressed in terms of structured linear matrix inequalities (LMIs).

Item Type:

Book Section

Related URLs:

URL	URL Type	Description
https://doi.org/10.1109/CDC.1992.371449	DOI	Article

ORCID:

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

Additional Information:

DOI:

10.1109/CDC.1992.371449

Record Number:

CaltechAUTHORS:20190319-080533883

Persistent URL:

https://resolver.caltech.edu/CaltechAUTHORS:20190319-080533883

Official Citation:

W. M. Lu and J. C. Doyle, "H∞ control of LFT systems: an LMI approach," [1992] Proceedings of the 31st IEEE Conference on Decision and Control, Tucson, AZ, USA, 1992, pp. 1997-2001 vol.2. doi: 10.1109/CDC.1992.371449

Usage Policy:

No commercial reproduction, distribution, display or performance rights in this work are provided.

ID Code:

93949

Collection:

CaltechAUTHORS

Deposited By:

Tony Diaz

Deposited On:

19 Mar 2019 18:25

Last Modified:

16 Nov 2021 17:01

Repository Staff Only: item control page