Adaptive boundary stabilization for first-order hyperbolic PDEs with unknown spatially varying parameter

被引：45

作者：

Xu, Zaihua ^{[1
]}

Liu, Yungang ^{[1
]}

机构：

[1] Shandong Univ, Sch Control Sci & Engn, Jinan 250061, Peoples R China

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2016年 / 26卷 / 03期

关键词：

first-order hyperbolic PDEs; spatially varying parameter; adaptive stabilization; infinite-dimensional backstepping; ODE SYSTEMS; ACTUATOR; CONTROLLABILITY; FEEDBACK;

D O I：

10.1002/rnc.3331

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 adaptive boundary stabilization is investigated for a class of systems described by first-order hyperbolic PDEs with unknown spatially varying parameter. Towards the system unknowns, a dynamic compensation is first given by using infinite-dimensional backstepping method, adaptive techniques, and projection operator. Then an adaptive controller is constructed by certainty equivalence principle, which can stabilize the original system in a certain sense. Moreover, the effectiveness of the proposed method is illustrated by a simulation example. Copyright (C) 2015 John Wiley & Sons, Ltd.

引用

页码：613 / 628

页数：16

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