Robust adaptive vibration control for a string with time-varying output constraint

被引：13
|
作者：
He, Wei [1 ]
Jing, Zhe [1 ]
He, Xiuyu [1 ]
Liu, Jin-Kun [2 ]
Sun, Changyin [3 ]
机构：
[1] Univ Sci & Technol Beijing, Key Lab Knowledge Automat Ind Proc, Minist Educ, Sch Automat & Elect Engn,Inst Artificial Intellig, Beijing, Peoples R China
[2] Beihang Univ, Sch Automat Sci & Elect Engn, Beijing, Peoples R China
[3] Southeast Univ, Sch Automat, Nanjing, Jiangsu, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2018年 / 28卷 / 17期
基金：
中国国家自然科学基金;
关键词：
boundary control; distributed parameter system; flexible structures; time-varying output constraint; vibration control; BARRIER LYAPUNOV FUNCTIONS; BOUNDARY FEEDBACK-CONTROL; SLIDING MODE CONTROL; NONLINEAR-SYSTEMS; WAVE-EQUATION; SWITCHING SURFACE; ODE SYSTEMS; PDE SYSTEMS; STABILIZATION; DISTURBANCE;
D O I：
10.1002/rnc.4300
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, we present the vibration control design for a string with the boundary time-varying output constraint. The dynamics of the string is a distributed parameter system described by a partial differential equation and two ordinary differential equations. A barrier Lyapunov function with a logarithmic function is adopted to prevent the time-varying constraint violations. Adaptive control is designed to handle the system parametric uncertainties. Stability analysis and the solvability of the inequality equations are provided. Numerical simulations are provided to illustrate the effectiveness of the proposed control design.
引用
收藏
页码：5213 / 5231
页数：19
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