Remarks on Discrete-time Multi-output Nonlinear Observer Canonical Form

Abstract

State equivalence to a discrete-time multi-output dual Brunovsky nonlinear observer canonical form (NOCF) has been extensively studied in the literature. In this paper, we find the necessary and sufficient conditions for state equivalence to a discrete-time multi-output NOCF which is more general than a dual Brunovsky NOCF. Our conditions show clearly the difference between a NOCF problem and a dual Brunovsky NOCF problem.