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IMA Journal of Mathematical Control and Information 1984 1(3):199-221; doi:10.1093/imamci/1.3.199
© 1984 by Institute of Mathematics and its Applications
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On Sensitivity, Compensation, and the Approach to the Asymptotes in Multivariable Root-Loci*

D. H. OWENS1 and G. S. VIRK2

1Department of Control Engineering, University of Sheffield Mappin Street, Sheffield S1 3JD
2Electrical Engineering Department Sheffield City Polytechnic, Mappin Street, Sheffield S1 3JD

Dynamic transformation techniques are used to characterize the rate of approach of multivariable root-loci to the asymptotes by calculation of the third term in the Puiseux series using the system Markov parameter matrices. The design of compensators to eliminate the sensitivity of the pivots to control data is suggested by maximizing the rate of approach to the asymptotes.

*This work is supported by SERC under grant No. GR/B/79455


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