Title :
Analysis of stability for n-connected Timoshenko beams with both ends fixed and feedback controller at intermediate nodes
Author :
Han Zhongjie ; Xu Genqi
Author_Institution :
Dept. of Math., Tianjin Univ., China
Abstract :
In this paper we study stabilization problem of n-connected Timoshenko beams. Suppose that both ends of the beams are clamped, at intermediate nodes, the shearing force and bending moment are continuous, but the displacement and rotational angle of beams are discontinuous. Shearing force and bending moment at intermediate nodes are observed. The compensators are signed to use to obtain the displacements and rotational angles, the feedback controllers at intermediate nodes are used to stabilize the system. We prove that the closed loop system is usually asymptotically stable. By a detail spectral analysis of the system, we show that the closed loop system is of Riesz basis property under some conditions.
Keywords :
asymptotic stability; beams (structures); bending; closed loop systems; compensation; displacement control; distributed parameter systems; feedback; shearing; spectral analysis; Riesz basis property; Timoshenko beams; asymptotic stability; bending moment; closed loop system; compensator; displacement angle; exponential stability; feedback controller; intermediate nodes; rotational angle; shearing force; spectral analysis; stability analysis; Adaptive control; Artificial intelligence; Closed loop systems; Feedback control; Force feedback; Mathematics; Shearing; Spectral analysis; Stability analysis; Vibration control; Riesz basis; Timoshenko beam; compensator; exponential stability; feedback control;
Conference_Titel :
Control Conference, 2006. CCC 2006. Chinese
Conference_Location :
Harbin
Print_ISBN :
7-81077-802-1
DOI :
10.1109/CHICC.2006.280840