Transformation of nonlinear discrete-time state equations into the observer form: extension to non-reversible case; pp. 235–247

Proceedings of the Estonian Academy of Sciences

article

Tanel Mullari¹  Ülle Kotta² 

[1] Department of Cybernetics, Tallinn University of Technology;Department of Software Science, Tallinn University of Technology

关键词: nonlinear control system;    discrete-time system;    observer form;    state equivalence;    algebraic approach;   

DOI  :  10.3176/proc.2021.3.03

学科分类：内科医学

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

This paper addresses the equivalence under state transformation of a discrete-time nonlinear control system to observer canonical form. Necessary and sufficient conditions for generic equivalence are given for the case when the state equations are not necessarily reversible. The proof is constructive and shows how to find the state transformation if the conditions are satisfied. The derived conditions are then compared with earlier conditions, obtained under more restrictive assumptions, to demonstrate that the earlier result follows directly from our theory. Two examples illustrate the new theory.

【 授权许可】

CC BY