Zero dynamics for networks of waves

被引：2

作者：

Jacob, Birgit ^{[1
]}

Morris, Kirsten A. ^{[2
]}

Zwart, Hans ^{[3
,4
]}

机构：

[1] Univ Wuppertal, Sch Math & Nat Sci, Wuppertal, Germany

[2] Univ Waterloo, Dept Appl Math, Waterloo, ON, Canada

[3] Univ Twente, Dept Appl Math, Enschede, Netherlands

[4] Eindhoven Univ Technol, Dept Mech Engn, Eindhoven, Netherlands

来源：

AUTOMATICA | 2019年 / 103卷

关键词：

Port-Hamiltonian system; Distributed parameter systems; Boundary control; Zero dynamics; Networks; Coupled wave equations; BOUNDARY FEEDBACK DESIGN; CONTROL-SYSTEMS; STABILIZATION;

D O I：

10.1016/j.automatica.2019.02.010

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

The zero dynamics of infinite-dimensional systems can be difficult to characterize. The zero dynamics of boundary control systems are particularly problematic. In this paper the zero dynamics of port-Hamiltonian systems are studied. A complete characterization of the zero dynamics for port-Hamiltonian systems with invertible feedthrough as another port-Hamiltonian system on the same state space is given. It is shown that the zero dynamics for any port-Hamiltonian system with commensurate wave speeds are a well-posed system, and are also a port-Hamiltonian system. Examples include wave equations with uniform wave speed on a network. A constructive procedure for calculation of the zero dynamics that can be used for very large system order is provided. (C) 2019 Elsevier Ltd. All rights reserved.

引用

页码：310 / 321

页数：12

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