Linearization of discrete-time control system by state transformation; pp. 62–79

Proceedings of the Estonian Academy of Sciences

article

Tanel Mullari¹  Ülle Kotta² 

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

关键词: nonlinear control system;    discrete-time system;    backward shifts of vector fields;    state linearizability;   

DOI  :  10.3176/proc.2021.1.09

学科分类：内科医学

来源: Teaduste Akadeemia Kirjastus

【 摘 要 】

This paper presents necessary and sufficient linearizability conditions by state transformation for discrete-time multi-input nonlinear control system under the mild assumption on the surjectivity property and describes how to find the state transformation when it exists. The conditions are formulated in terms of backward shifts of vector fields, defined by the system dynamics. The conditions are compared with those that allow additionally the regular static state feedback. The theory is illustrated by two examples.

【 授权许可】

CC BY