Invertibility of sampled data systems
Er‐Wei Bai, Zhi Jun Ding · IEEE Transactions on Circuits and Systems I Fundamental Theory and Applications · 2000
In this paper, we study the invertibility of a sampled data system. Necessary and sufficient invertibility conditions are given explicitly in terms of transfer function zeros. It is shown that many systems including those with "unstable" zeros or those with more inputs than outputs are in fact stably invertible. Detailed design procedures to achieve the system inverse are given. A minimum sensitivity inverse with respect to under-modeling and noise is also provided in the paper.