Topcu, Ufuk and Packard, Andrew (2009) Local robust performance analysis for nonlinear dynamical systems. In: American Control Conference, 2009. IEEE , pp. 784-789. ISBN 978-1-4244-4523-3 http://resolver.caltech.edu/CaltechAUTHORS:20100512-111147051
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Abstract
We propose a computational method for local robust performance analysis of nonlinear systems with polynomial dynamics. Specifically, we characterize upper bounds for local L_2 → L_2 input-output gains using polynomial Lyapunov/ storage functions satisfying certain dissipation inequalities and compute safe approximations for these upper bounds via sum-of-squares programming problems. We consider both bounded parametric uncertainties and bounded uncertainties due to unmodeled dynamics
| Item Type: | Book Section | ||||||
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| Additional Information: | © 2009 AACC. This work was sponsored by the Air Force Office of Scientific Research, USAF, under grant/contract number FA9550- 05-1-0266. The views and conclusions contained herein are those of the authors and should not be interpreted as necessarily representing the official policies or endorsements, either expressed or implied, of the AFOSR or the U.S. Government. U. Topcu acknowledges partial support from the Boeing Corporation. A. Packard acknowledges partial support from NASA under the contract NNX08AC80A. | ||||||
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| Record Number: | CaltechAUTHORS:20100512-111147051 | ||||||
| Persistent URL: | http://resolver.caltech.edu/CaltechAUTHORS:20100512-111147051 | ||||||
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| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||
| ID Code: | 18256 | ||||||
| Collection: | CaltechAUTHORS | ||||||
| Deposited By: | Tony Diaz | ||||||
| Deposited On: | 16 May 2010 01:34 | ||||||
| Last Modified: | 26 Dec 2012 12:01 |
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