Accessibility and System Reduction of Nonlinear Time-Delay Control Systems

被引：12

作者：

Bartosiewicz, Zbigniew ^{[1
]}

Kaldmae, Arvo ^{[2
]}

Kawano, Yu ^{[3
]}

Kotta, Ulle ^{[2
]}

Pawluszewicz, Ewa ^{[4
]}

Simha, Ashutosh ^{[2
]}

Wyrwas, Malgorzata ^{[1
]}

机构：

[1] Bialystok Tech Univ, Fac Comp Sci, PL-15351 Bialystok, Poland

[2] Tallinn Univ Technol, Dept Software Sci, EE-12616 Tallinn, Estonia

[3] Hiroshima Univ, Grad Sch Adv Sci & Engn, Hiroshima 7398511, Japan

[4] Bialystok Tech Univ, Fac Mech Engn, PL-15351 Bialystok, Poland

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 08期

关键词：

Accessibility; algebraic; geometric methods; delay systems; nonlinear systems; TRANSFER EQUIVALENCE; CONTROLLABILITY; REALIZATION;

D O I：

10.1109/TAC.2020.3028566

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 article addresses the problem of checking the accessibility property for nonlinear single-input-single-output retarded time-delay systems with constant commensurable delays, described by higher order input-output functional differential equations. Necessary and sufficient conditions are found to check the accessibility property, and sufficient conditions are found to decompose the system equations into accessible and non-accessible subsystems. The conditions are presented in terms of autonomous elements, i.e., functions that cannot be influenced by system input. The results are generalizations from the delay-free case. However, the proofs do not transfer to the time-delay case easily, since algebraic structures with different properties are used here.

引用

页码：3781 / 3788

页数：8

共 24 条

[1]

BALACHANDRAN K, 1986, KYBERNETIKA, V22, P439

[2] ACCESSIBILITY CONDITIONS OF MIMO NONLINEAR CONTROL SYSTEMS ON HOMOGENEOUS TIME SCALES [J].