Stable zeros of sampled low-pass systems

Abstract This paper studies analytical forms of criteria for ensuring that all zeros of a discrete system are stable when a continuous-time, strictly proper and low-pass plant is sampled by use of a zero order hold. Necessary and sufficient conditions for stable zeros of a sampled system are developed. They are related to coefficients of a continuous-time transfer function and to a sampling period. This paper also presents sufficient conditions which are expressed in terms of coefficients of a continuous-time transfer function.