Journal of Applied Mathematics and Stochastic Analysis 
Volume 8 (1995), Issue 1, Pages 47-58
doi:10.1155/S1048953395000049

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

Abstract

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.