Linearisation via input-output injection of time delay systems

被引：8

作者：

Garcia-Ramirez, Eduardo ^{[1
]}

Moog, Claude H. ^{[2
]}

Califano, Claudia ^{[3
]}

Alejandro Marquez-Martinez, Luis ^{[1
]}

机构：

[1] Ctr Invest Cient & Educ Super Ensenada, Elect & Telecommun Dept, Mexicali, Baja California, Mexico

[2] CNRS, Inst Rech Commun & Cybernet Nantes, Nantes, France

[3] Univ Roma La Sapienza, Dipartimento Ingn Informat Automat & Gest Antonio, Piazzale Aldo Moro 5, I-00185 Rome, Italy

来源：

INTERNATIONAL JOURNAL OF CONTROL | 2016年 / 89卷 / 06期

关键词：

output injection; linearisation; time-delay systems; input-output representation; algebraic tools; Nonlinear systems;

D O I：

10.1080/00207179.2015.1122230

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This paper deals with the problem of linearisation of systems with constant commensurable delays by input-output injection using algebraic control tools based on the theory of non-commutative rings. Solutions for the problem of linearisation free of delays, and with delays of an observable nonlinear time-delay systems are presented based on the analysis of the input-output equation. These results are achieved by means of constructive algorithms that use the nth derivative of the output expressed in terms of the state-space variables instead of the explicit computation of the input-output representation of the system. Necessary and sufficient conditions are established in both cases by means of an invertible change of coordinates.

引用

页码：1125 / 1136

页数：12

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