Two-point Output Feedback Boundary Control for Semilinear Hyperbolic Systems

被引：0

作者：

Dolgopolik, Maksim ^{[1
,3
]}

Fradkov, Alexander L. ^{[3
]}

Andrievsky, Boris ^{[1
,2
,3
]}

机构：

[1] Russian Acad Sci, Inst Problems Mech Engn, St Petersburg, Russia

[2] St Petersburg State Univ, St Petersburg, Russia

[3] Univ ITMO, St Petersburg, Russia

来源：

IFAC PAPERSONLINE | 2019年 / 52卷 / 16期

关键词：

distributed-parameter system; boundary control; speed-gradient; Klein-Gordon equation; semilinear wave equation; energy control; DIMENSIONAL WAVE-EQUATION; SINE-GORDON EQUATION; UNIFORM STABILIZATION; ACTIVE DISTURBANCE; REJECTION CONTROL; SUBJECT;

D O I：

10.1016/j.ifacol.2019.11.755

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new control problem is posed and solved: regulation problem for the one-dimensional Klein-Gordon and semilinear wave equations with Neumann boundary conditions in the case when the control acts at both ends of the space interval ("two-point control"). A control algorithm based on the speed-gradient method is proposed. The global exponential stability of the closed loop system for the case of the Klein-Gordon equation is established by means of a new Lyapunov functional. This results is extended to the case of the semilinear wave equation by means of linearization. The two-point energy control problem for the sine-Gordon and semilinear wave equations is analyzed by simulation. It is demonstrated that the proposed two-point control algorithm may provide 30% faster transients. (C) 2019, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.

引用

页码：54 / 59

页数：6

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