Incrementally passive infinite dimensional systems with a constrained state variable

被引：0
|
作者：
Singh, Shantanu [1 ]
Fueyo, Sebastien [1 ]
Weiss, George [1 ]
机构：
[1] Tel Aviv Univ, Sch Elect Engn, IL-69978 Ramat Aviv, Israel
来源：
2023 62ND IEEE CONFERENCE ON DECISION AND CONTROL, CDC | 2023年
基金：
以色列科学基金会;
关键词：
HAMILTONIAN-FORMULATION; LINEAR-SYSTEMS;
D O I：
10.1109/CDC49753.2023.10383643
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 paper, we show that the passivity property of a linear infinite dimensional system, with respect to a given supply rate, is preserved in the presence of a saturating integrator, which restricts a one dimensional component of the state to a compact interval. The resulting nonlinear system is incrementally passive with the same supply rate. We give an application of our main result to a boundary controlled string equation, where the displacement of the string at some interior point is restricted to a compact interval.
引用
收藏
页码：1937 / 1942
页数：6
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