Stabilization of Port-Hamiltonian Systems Based on Shifted Passivity via Feedback
Stabilization of Port-Hamiltonian Systems Based on Shifted Passivity via Feedback
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DOI：
10.1109/tac.2020.3005156
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发表时间：
2021-05
影响因子：
6.8
通讯作者：
Chengshuai Wu;A. J. van der Schaft;Jian Chen
中科院分区：
文献类型：
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作者：
Chengshuai Wu;A. J. van der Schaft;Jian Chen
本文在转移无源性的背景下研究了端口-Hamilton（pH）系统的镇定。pH系统，在一般情况下，不移动被动相对于给定的哈密顿量和输出。因此，我们考虑通过设计一个状态反馈，即通过反馈的转移无源性，加强转移无源性的属性。引入的概念带来了更多的洞察pH值系统的稳定性，并推导出一组偏微分方程，其解决方案指定的状态反馈通过反馈实现转移被动。基于通过反馈的移位无源性框架，给出了一组充分条件，使得相对于设计的功率整形输出的建议的比例控制可以实现闭环渐近稳定。一些扩展的控制设计提供放松所需的条件。
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.