Journal of Applied Mathematics and Stochastic Analysis
Volume 8 (1995), Issue 1, Pages 47-58

Tracking control of a flexible beam by nonlinear boundary feedback

Bao-Zhu Guo1 and Qian Song2

1Beijing University of Technology, Department of Applied Mathematics, Beijing 100081, China
2Academia Sinica, Institute of Systems Science, Beijing 100080, China

Received 1 February 1994; Revised 1 November 1994

Copyright © 1995 Bao-Zhu Guo and Qian Song. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


This paper is concerned with tracking control of a dynamic model consisting of a flexible beam rotated by a motor in a horizontal plane at the one end and a tip body rigidly attached at the free end. The well-posedness of the closed loop systems considering the dissipative nonlinear boundary feedback is discussed and the asymptotic stability about difference energy of the hybrid system is also investigated.