Doyle, J. C. (1979) Robustness of multiloop linear feedback systems. In: 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes. IEEE , Piscataway, NJ, pp. 12-18. https://resolver.caltech.edu/CaltechAUTHORS:20190308-152210699
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Abstract
This paper presents a new approach to the frequency-domain analysis of multiloop linear feed-back systems. The properties of the return difference equation are examined using the concepts of singular values, singular vectors and the spectral norm of a matrix. A number of new tools for multiloop systems are developed which are analogous to those for scalar Nyquist and Bode analysis. These provide a generalization of the scalar frequency-domain notions such as gain, bandwidth, stability margins and M-circles, and provide considerable insight into system robustness.
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| Additional Information: | © 1978 IEEE. This work was performed for Honeywell Systems and Research Center, Minneapolis, MN, with partial support from the Office of Naval Research Contract N-00014-75-C-0144. I would like to thank all those whose criticisms and comments helped to mold this paper. I would particularly like to thank Drs. G. Stein, M.G. Safonov, and C.A. Harvey for their continued technical input. I would also like to thank the Math Lab Group, Laboratory for Computer Sciences, MIT for use of their invaluable tool, MACSYMA, a large symbolic manipulation language. The Math Lab Group is supported by NASA under grant NSG 1323 and DOE under contract #E(11-1)-3070. | ||||||||
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| DOI: | 10.1109/cdc.1978.267885 | ||||||||
| Record Number: | CaltechAUTHORS:20190308-152210699 | ||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20190308-152210699 | ||||||||
| Official Citation: | J. C. Doyle, "Robustness of multiloop linear feedback systems," 1978 IEEE Conference on Decision and Control including the 17th Symposium on Adaptive Processes, San Diego, CA, USA, 1978, pp. 12-18. doi: 10.1109/CDC.1978.267885 | ||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
| ID Code: | 93673 | ||||||||
| Collection: | CaltechAUTHORS | ||||||||
| Deposited By: | George Porter | ||||||||
| Deposited On: | 08 Mar 2019 23:41 | ||||||||
| Last Modified: | 16 Nov 2021 16:59 |
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