Method of Detection of Initial Undershoot for Linear Time-Invariant systems

Abstract

This paper discusses about the step response of linear time-invariant systems (continuous and discrete) for the identification of the presence of initial undershoot. The relation between Markov parameters and presence of initial undershoot is explored and methods are proposed accordingly on how the identification can be done employing these parameters. The viability and scope of these theorems are shown by considering examples based on practical applications that give arise to such characteristic in their step response curves. The calculated results are verified using MATLAB-based plots. © 2021 IEEE.