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
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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 | ||||||||
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| 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. | ||||||||
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| 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 |
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