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

页码：7740 / 7745

页数：6

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