Asymptotic Sampling Zeros
The location of poles of sampled models depends on the poles of the underlying continuous-time system and the sampling period. However, the relation between the zeros in discrete-time and continuous-time is much more involved. The sampled model can have extra zeros which have no continuous-time counterpart. This chapter examines the asymptotic behaviour of these sampling zeros in the discrete-time model, as the sampling period goes to zero.
Asymptotic sampling zeros were first described in
- Mårtensson B (1982) Zeros of sampled systems. Master’s thesis, Department of Automatic Control, Lund University, Lund, Sweden. Report TFRT-5266 Google Scholar
Further results were later presented in
- Hagiwara T, Yuasa T, Araki M (1993) Stability of the limiting zeros of sampled-data systems with zero- and first-order holds. Int J Control Google Scholar