Stabilization of a System of n+1 Coupled First-Order Hyperbolic Linear PDEs With a Single Boundary Input

被引：200

作者：

Di Meglio, Florent ^{[1
]}

Vazquez, Rafael ^{[2
]}

Krstic, Miroslav ^{[1
]}

机构：

[1] Univ Calif San Diego, Dept Mech & Aerosp Engn, La Jolla, CA 92093 USA

[2] Univ Seville, Dept Aerosp Engn, Seville 41092, Spain

来源：

IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2013年 / 58卷 / 12期

关键词：

Control design; distributed parameters systems; observers; EXPONENTIAL STABILITY; CONSERVATION-LAWS;

D O I：

10.1109/TAC.2013.2274723

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We solve the problem of stabilization of a class of linear first-order hyperbolic systems featuring n rightward convecting transport PDEs and one leftward convecting transport PDE. We design a controller, which requires a single control input applied on the leftward convecting PDE's right boundary, and an observer, which employs a single sensor on the same PDE's left boundary. We prove exponential stability of the origin of the resulting plant-observer-controller system in the spatial L-2-sense.

引用

页码：3097 / 3111

页数：15

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