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
收藏
页码：54 / 59
页数：6
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