Anti-collocated observer-based output feedback control of wave equation with cubic velocity nonlinear boundary and Dirichlet control

被引:5
作者
Ghaderi, Najmeh [1 ]
Keyanpour, Mohammad [2 ,3 ]
机构
[1] Univ Guilan, Fac Math Sci, Dept Appl Math, Rasht, Iran
[2] Univ Guilan, Fact Math Sci, Rasht, Iran
[3] Univ Guilan, Ctr Excellence Math Modeling Optimizat & Combinat, Rasht, Iran
关键词
Backstepping control design; cubic velocity nonlinear boundary condition; observer design; output feedback controller; wave equation; EXPONENTIAL STABILIZATION; ACTIVE DISTURBANCE; CHAOTIC VIBRATION; REJECTION CONTROL; VAN; SUBJECT; DESIGN; SPACE;
D O I
10.1080/00207179.2020.1757761
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This study focuses on the observer and observer-based output feedback control design for a one-dimensional wave equation with van der Pol type nonlinear boundary condition and Dirichlet boundary control. The contribution of this work is divided into two parts. Firstly, the anti-collocated backstepping observer design for the nonlinear wave system is investigated, and the well-posedness and the asymptotical stability analysis of the observer error are studied. Secondly, an output feedback observer-based controller is set up by using boundary displacement measurement only to stabilise the nonlinear wave system; also the asymptotical stability of the closed-loop system is shown. The validity of the theoretical results is demonstrated by numerical simulations.
引用
收藏
页码:3264 / 3274
页数:11
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