Fan, Michael K. H. and Tits, André L. and Doyle, John C. (1988) Robustness in the Presence of Joint Parametric Uncertainty and Unmodeled Dynamics. In: 1988 American Control Conference. IEEE , Piscataway, NJ, pp. 1195-1200. https://resolver.caltech.edu/CaltechAUTHORS:20190313-074303113
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Abstract
It is shown that, in the case of joint real parametric and complex uncertainty, Doyle's structured singular value can be obtained as the solution of a smooth constrained optimization problem. While this problem may have local maxima, an improved computable upper bound to the structured singular value is derived, leading to a sufficient condition for robust stability and performance.
| Item Type: | Book Section | ||||||||||||
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| Additional Information: | © 1988 IEEE. The authors wish to thank Drs. E. Zafiriou and A.K. Packard for numerous discussions. The work of the first two authors was supported by the National Science Foundation under Grants No. DMC-84-51515 and CDR-85-00108. The work of the third author was supported by NASA, NSF, ONR, and AFOSR. | ||||||||||||
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| DOI: | 10.23919/ACC.1988.4789902 | ||||||||||||
| Record Number: | CaltechAUTHORS:20190313-074303113 | ||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190313-074303113 | ||||||||||||
| Official Citation: | M. K. H. Fan, A. L. Tits and J. C. Doyle, "Robustness in the Presence of Joint parametric Uncertainty and Unmodeled Dynamics," 1988 American Control Conference, Atlanta, GA, USA, 1988, pp. 1195-1200. doi: 10.23919/ACC.1988.4789902 | ||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||
| ID Code: | 93751 | ||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||
| Deposited By: | Tony Diaz | ||||||||||||
| Deposited On: | 13 Mar 2019 16:01 | ||||||||||||
| Last Modified: | 16 Nov 2021 17:00 |
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