Stabilization of Port-Hamiltonian Systems Based on Shifted Passivity via Feedback

被引：8

作者：

Wu, Chengshuai ^{[1
,2
]}

van der Schaft, Arjan ^{[3
]}

Chen, Jian ^{[1
,2
]}

机构：

[1] Zhejiang Univ, Coll Control Sci & Engn, State Key Lab Ind Control Technol, Hangzhou 310027, Peoples R China

[2] Zhejiang Univ, Ningbo Res Inst, Ningbo 315100, Peoples R China

[3] Univ Groningen, Bernoulli Inst Math Comp Sci & Artificial Intelli, NL-9747 AG Groningen, Netherlands

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2021年 / 66卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Damping; Steady-state; Linear matrix inequalities; Partial differential equations; Proportional control; Mathematical model; Standards; Feedback equivalence; interconnection and damping assignment passivity-based control (IDA-PBC); port-Hamiltonian (pH) systems; shifted passivity; stabilization; INTERCONNECTION;

D O I：

10.1109/TAC.2020.3005156

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, stabilization of port-Hamiltonian (pH) systems is studied in the context of shifted passivity. The pH systems, in general, are not shifted passive with respect to the given Hamiltonian and output. Therefore, we consider enforcing the property of shifted passivity by designing a state feedback, namely, shifted passivity via feedback. This introduced concept brings more insight into the stabilization of pH systems, and a set of partial differential equations is derived such that its solution specifies a state feedback achieving shifted passivity via feedback. Based on the framework of shifted passivity via feedback, a group of sufficient conditions is given such that a proposed proportional control with respect to a designed power shaping output can achieve closed-loop asymptotic stability. Some extended control design is provided to relax the required conditions.

引用

页码：2219 / 2226

页数：8

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