A Study on the Effects of Added Zeros to the System with a Monotone Nondecreasing Step Response

초록

The system with added zeros is usually not guaranteed to have a monotone nondecreasing step response even though the original system has a monotone nondecreasing step response. This paper investigates some conditions such that zeros are added to the system with a monotone nondecreasing step response in order to hold the monotonicity as before. Two conditions are presented for the cases that a real zero and complex conjugate zeros are added to the system satisfying the monotonicity condition, respectively. To exemplify the proposed results, some simple examples via computer simulation are shown in this paper. Proposed conditions can be easily used in the control system design since they are only formulated in terms of pole-zero configurations.