Dr. Simon Lam

B.A.Sc. (2003), M.A.Sc. (2005), Ph.D. (2010), University of Toronto, Canada.

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The transmission zero at s radius and the minimum phase radius of LTI systems

Simon Lam and Edward J. Davison

Abstract

In this paper, two continuous robustness measures related to a LTI system's transmission zeros are introduced, namely the transmission zero at s radius and the minimum phase radius. These two radii respectively measure how "close", with respect to parametric perturbations, the system is to having a transmission zero at a specified s in C, and how "close" a minimum phase system is to a nonminimum phase system. Formulas for computing both radii and procedures for constructing the corresponding system perturbations that achieve these radii are presented in this paper. Some properties of the two radii are also given, along with numerical examples to illustrate the type of results one may obtain.