CaltechAUTHORS
  A Caltech Library Service

Robustness analysis and synthesis for uncertain nonlinear systems

Lu, Wei-Min and Doyle, John C. (1994) Robustness analysis and synthesis for uncertain nonlinear systems. In: Proceedings of 1994 33rd IEEE Conference on Decision and Control. Vol.1. IEEE , Piscataway, NJ, pp. 787-792. ISBN 0-7803-1968-0. https://resolver.caltech.edu/CaltechAUTHORS:20190318-135325265

[img] PDF - Published Version
See Usage Policy.

563Kb

Use this Persistent URL to link to this item: https://resolver.caltech.edu/CaltechAUTHORS:20190318-135325265

Abstract

The stability and performance robustness analysis for a class of uncertain nonlinear systems with bounded structured uncertainties are characterized in terms of various types of nonlinear matrix inequalities (NLMIs). As in the linear case, scalings or multipliers are used to find Lyapunov functions that give sufficient conditions, and the resulting NLMIs yield convex feasibility problem. For these problems, robustness analysis is essentially no harder than stability analysis of the system with no uncertainty. Sufficient conditions for the solvability of related robust synthesis problems are developed in terms of NLMIs as well.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
https://doi.org/10.1109/CDC.1994.410855DOIArticle
ORCID:
AuthorORCID
Doyle, John C.0000-0002-1828-2486
Additional Information:© 1994 IEEE. The authors would like to thank J.W. Helton and J.S. Shamma for extensive discussions. Support for this work was provided by NSF, AFOSR, and ONR.
Funders:
Funding AgencyGrant Number
NSFUNSPECIFIED
Air Force Office of Scientific Research (AFOSR)UNSPECIFIED
Office of Naval Research (ONR)UNSPECIFIED
Record Number:CaltechAUTHORS:20190318-135325265
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20190318-135325265
Official Citation:Wei-Min Lu and J. C. Doyle, "Robustness analysis and synthesis for uncertain nonlinear systems," Proceedings of 1994 33rd IEEE Conference on Decision and Control, Lake Buena Vista, FL, USA, 1994, pp. 787-792 vol.1. doi: 10.1109/CDC.1994.410855
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:93934
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:18 Mar 2019 20:57
Last Modified:03 Oct 2019 20:59

Repository Staff Only: item control page