Backstepping-based output regulation of ordinary differential equations cascaded by wave equation with in-domain anti-damping

被引:10
作者
Gu, Jianjun [1 ,2 ]
Wei, Chunqiu [1 ]
Wang, Junmin [1 ]
机构
[1] Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China
[2] Changshu Inst Technol, Sch Math & Stat, Suzhou, Jiangsu, Peoples R China
基金
中国国家自然科学基金;
关键词
Output regulation; backstepping; disturbance rejection; Riesz basis; output feedback; BOUNDARY STABILIZATION; SYSTEMS SUBJECT;
D O I
10.1177/0142331217752040
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
Output regulation is considered in this paper for ordinary differential equations cascaded by a wave equation, in which both the body equations and the uncontrolled end are subject to disturbances. The disturbances are generated by an exosystem. A backstepping state-feedback regulator is first designed to force the output to track the reference signal. The design is based on solving cascaded regulator equations, and the solvability condition of the equations is characterized in terms of a transfer function and the eigenvalues of the exosystem. An observer-based output-feedback regulator is then designed to solve the output regulation problem. Finally, the regulator tracking performance is illustrated through numerical simulations.
引用
收藏
页码:246 / 262
页数:17
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