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Published January 1979 | Published
Book Section - Chapter Open

Robustness of multiloop linear feedback systems

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.

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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