Analysis of adverse effects due to zeros in non-minimum phase discrete-time linear systems

Abstract

In this paper, adverse effects of zeros in non-minimum phase discrete-time systems are analyzed, and methods to detect these effects are presented. The effects such as zero-crossings, overshoot (due to zeros), and initial undershoot, are discussed and mathematically defined. The main advantage of using these methods is this, that the detection can be done using transfer function only, without obtaining the step response. In addition to the discussion on the methods, three different examples of non-minimum phase discrete-time systems are analyzed using these methods. The results are verified by illustrating the corresponding step responses, with zero-order hold. Moreover, one practical non-minimum phase system: DC-DC boost converter, is taken in discrete form and analyzed using the methods so defined.