Exponential stability of port-Hamiltonian systems via energy-shaped method

被引：4
|
作者：
Cai, Liangcheng [1 ]
He, Yong [2 ]
机构：
[1] Southwest JiaoTong Univ, Sch Elect Engn, Chengdu 610031, Peoples R China
[2] China Univ Geosci, Sch Automat, Wuhan 430074, Peoples R China
来源：
JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 07期
关键词：
PASSIVITY-BASED CONTROL; DAMPING ASSIGNMENT; MECHANICAL SYSTEMS; SHAPING CONTROL; INTERCONNECTION; STABILIZATION; DISSIPATION;
D O I：
10.1016/j.jfranklin.2017.02.004
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 traditional energy-shaped method of Port-Hamiltonian system that is based on solving partial differential equations influences the accuracy and realizability of controller. To overcome those defects, a new energy-shaped method based on the cyclo-passivity is proposed to avoid solving partial differential equations. Due to the proposed method, the exponential stability of Port-Hamiltonian has been worked out. Besides that, a relationship between the guaranteed cost control and dissipation is established for the Port-Hamiltonian system, which presents an explicit form of dissipative energy. At last, examples show the validity of the proposed contents. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：2944 / 2958
页数：15
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