Output regulation for a cascaded network of 2 x 2 hyperbolic systems with PI controller

被引：21

作者：

Ngoc-Tu Trinh ^{[1
]}

Andrieu, Vincent ^{[1
]}

Xu, Cheng-Zhong ^{[1
]}

机构：

[1] Univ Claude Bernard Lyon 1, Univ Lyon, LAGEP, Bat CPE, 43 Bd 11 Novembre 1918, F-69622 Villeurbanne, France

来源：

AUTOMATICA | 2018年 / 91卷

关键词：

Hyperbolic PDE systems; Lyapunov functional; Exponential stability; PI controllers; Saint-Venant equations; Cascaded network; Output regulation; INFINITE-DIMENSIONAL SYSTEMS; BOUNDARY CONTROL; CONSERVATION-LAWS; PREDICTIVE CONTROL; OPEN CHANNELS; STABILITY; STABILIZATION; EQUATIONS;

D O I：

10.1016/j.automatica.2018.01.010

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 are concerned with the PI control/regulation design for a cascaded network of multi systems governed by hyperbolic partial differential equations. The PI controllers have both control inputs and measured outputs situated on the junctions. The stability analysis of closed-loop network is carried out in the L-2 topology by using the Lyapunov direct method. Then the output regulation is proven based on the stability of closed-loop systems. We finally work out detailed PI controller design for a practical cascaded network of n hydraulic Saint-Venant models as well as numerical simulations to validate theoretical results. (C) 2018 Elsevier Ltd. All rights reserved.

引用

页码：270 / 278

页数：9

共 24 条

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[Anonymous], 1993, INTRO FUNCTIONAL DIF, DOI 10.1007/978-1-4612-4342-7

[2]

Astrom K J., 2006, ISA - The Instrumentation, Systems and Automation Society

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