Title :
Identification and stabilization for a one-dimensional wave equation with boundary output unknown constant and non-collocated control
Author :
Guo, Wei ; Guo, Bao-Zhu
Author_Institution :
Sch. of Inf. Technol. & Manage., Univ. of Int. Bus. & Econ., Beijing, China
Abstract :
We are concerned with parameter estimation and stabilization of a one-dimensional wave equation with unknown constant signal disturbance suffered from boundary observation at one end and the non-collocated control at another end. An adaptive observer is designed in terms of measured velocity with unknown constant disturbance. The backstepping method is adopted in design of the feedback law. It is shown that the resulting closed-loop system is asymptotically stable. Meanwhile, the unknown constant is estimated.
Keywords :
adaptive control; asymptotic stability; closed loop systems; feedback; observers; parameter estimation; wave equations; 1D wave equation; adaptive observer design; asymptotically stable; backstepping method; boundary observation; boundary output unknown constant; closed-loop system; constant signal disturbance; feedback law; identification; noncollocated control; parameter estimation; stabilization; Partial differential equations;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400478