The asymptotic behaviour, the angles of departure, and the angles of approach, of the characteristic frequency loci
- 1 May 1977
- journal article
- research article
- Published by Taylor & Francis in International Journal of Control
- Vol. 25 (5) , 677-695
- https://doi.org/10.1080/00207177708922262
Abstract
In algebraic function theory, there is a well established method which uses ‘Newton's diagram’ to find the series expansions of an algebraic function q(x) in the neighbourhood of a point x0 . In this paper it is shown how, for a linear, time-invariant, multi-variable feedback system, this method can be used to find : (i) the asymptotic behaviour of the characteristic frequency loci (multivariable root loci) ; (ii) the angles of departure of the characteristic frequency loci from the open-loop poles ; and (iii) the angles of approach of the characteristic frequency loci to the finite zeros of such a system.Keywords
This publication has 4 references indexed in Scilit:
- The generalized Nyquist stability criterion and multivariable root lociInternational Journal of Control, 1977
- The angles of departure and approach of the root-loci in linear multivariable systemsInternational Journal of Control, 1976
- Asymptotic behaviour of root-loci of linear multivariable systemsInternational Journal of Control, 1976
- Return-difference and return-ratio matrices and their use in analysis and design of multivariable feedback control systemsProceedings of the Institution of Electrical Engineers, 1970