@inproceedings{62edb164ef6b4fb5866db0cbdb3b81f9,

title = "Disturbance Estimation of a Wave PDE on a Time-varying Domain",

abstract = "In this paper, we design an exponentially convergent distur- bance observer for a wave PDE on a time-varying domain by using two boundary measurements u(0; t); ut(l(t); t). More speci-cally, two auxiliary PDEs are constructed to build the disturbance observer for tracking the external disturbance in the wave PDE. Exponential convergence of the disturbance estimation to the true disturbance value is proved by Lya- punov analysis, and all states in the observer are shown to be bounded once the original state u(x; t) is bounded via designing control input.",

author = "Ji Wang and Tang, {Shu Xia} and Yangjun Pi and Miroslav Krstic",

note = "Funding Information: ∗Supported by National Basic Research Program of China (973) [2014CB049404]. †State Key Laboratory of Mechanical Transmission, Chongqing University. Email:wangji@cqu.edu.cn. ‡Department of Mechanical and Aerospace Engineering, University of California. Email: shuxiatang.control@gmail.com. §State Key Laboratory of Mechanical Transmission, Chongqing University. Email:cqpp@cqu.edu.cn. ¶Department of Mechanical and Aerospace Engineering, University of California. Email:krstic@ucsd.edu. Publisher Copyright: Copyright {\textcopyright} by SIAM.; null ; Conference date: 10-07-2017 Through 12-07-2017",

year = "2017",

language = "English",

series = "Proceedings of the SIAM Conference on Control and Its Applications, CT 2017",

publisher = "Society for Industrial and Applied Mathematics Publications",

pages = "107--111",

editor = "Ruihua Liu and Qing Zhang and Wei Kang and Jean-Pierre Barbot",

booktitle = "Proceedings of the SIAM Conference on Control and Its Applications, CT 2017",

}