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Topological theory of 0/0 ambiguities in robust control

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2 Author(s)
Jonckheere, E.A. ; Dept. of Electr. Eng. Syst., Univ. of Southern California, Los Angeles, CA, USA ; Nainn-Ping Ke

Allowing some uncertain parameters in the numerator and denominator polynomials of the loop function of a feedback system can result in 0/0 ambiguities at some uncertain points. This in turn could create discrepancies between the stability margins computed from the “value set” approach and the “Horowitz template” approach. In addition, in case of some “essential” ambiguities, the singularity set of the Nyquist map-crucially related to continuity of the margins-is structurally unstable and nearly impossible to compute

Published in:

Decision and Control, 1997., Proceedings of the 36th IEEE Conference on  (Volume:5 )

Date of Conference:

10-12 Dec 1997