The Transmission Zero at s Radius and the Minimum Phase Radius of LTI Systems
نویسنده
چکیده
Abstract: In this paper, the transmission zero at s radius and the minimum phase radius of a linear time-invariant (LTI) system are introduced. The former radius gives a measure of how “near” a LTI system is from having a transmission zero at a specified point s ∈ C in the complex plane, and the latter radius measures how “near” a minimum phase system is to a nonminimum phase system. Formulas for computing both radii are presented, along with the procedures for constructing the minimum norm perturbations that achieve the respective radius. Some properties of the two radii and numerical examples are also given.
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