Energy-based Control of a Wave Equation with Boundary Anti-damping

被引：3
作者：
Macchelli, A. [1 ]
Le Gorrec, Y. [2 ]
Wu, Y. [2 ]
Ramirez, H. [3 ]
机构：
[1] Univ Bologna, Dept Elect Elect & Informat Engn, Viale Risorgimento 2, I-40136 Bologna, Italy
[2] Univ Bourgogne Franche Comte, CNRS, AS2M Dept, FEMTO ST Inst, 24 Rue Alain Savary, Besancon, France
[3] Univ Tecn Federico Santa Maria, Dept Elect, Ave Espana 1680, Valparaiso, Chile
来源：
IFAC PAPERSONLINE | 2020年 / 53卷 / 02期
基金：
欧盟地平线“2020”;
关键词：
distributed parameter systems; port-Hamiltonian systems; unstable wave equation; passivity-based control; DIRAC STRUCTURES; SYSTEMS;
D O I：
10.1016/j.ifacol.2020.12.1527
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 consider the asymptotic boundary stabilisation of a one-dimensional wave equation subject to anti-damping at its free end and with control at the opposite one. The control action, implemented through a state feedback or a dynamic controller, is derived by using the port-Hamiltonian framework. More precisely, the standard energy-shaping approach plus damping assignment is adapted to cope with infinite dimensional systems with anti-damping boundary conditions. It is shown how to modify the equivalent dynamic controller to account for the instability propagation along the domain. Copyright (C) 2020 The Authors.
引用
收藏
页码：7740 / 7745
页数：6
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