Title :
The Lyapunov stability analysis on restraint loops of a two-degree-of-freedom gyro
Author :
Wang, Tan Zhenfan ; Xiaoxu, Beilei Xiong
Author_Institution :
Autom. Coll., Harbin Eng. Univ., China
Abstract :
The stability of the restraint loops of a two degree-of-freedom (DOF) gyro has been analyzed by means of the Lyapunov direct method. The state-space model is derived from the technical functions of a 2-DOF gyro, which is a fourth-order system and time varying during the starting process. From the variable gradient method, the Lyapunov function is found, and whereby the stability conditions of the system are obtained. Since the starting process of a gyro is much longer than the time constant of the restraint loops for time-varying systems, it can be stabilized as long as the stability conditions are changed along with the time varying parameters
Keywords :
Lyapunov methods; gradient methods; gyroscopes; stability; state-space methods; time-varying systems; 2-DOF gyro; Lyapunov direct method; gradient method; stability; state-space model; time varying systems; Automation; Computer simulation; Damping; Feedback loop; Gradient methods; Pins; Signal generators; Stability analysis; Time varying systems; Torque;
Conference_Titel :
Intelligent Control and Automation, 2000. Proceedings of the 3rd World Congress on
Conference_Location :
Hefei
Print_ISBN :
0-7803-5995-X
DOI :
10.1109/WCICA.2000.863140
