A stable adaptive neural-network-based scheme for dynamical system control

作者：Xu X; Liang YC^*; Lee HP; Lin WZ; Lim SP; Shi XH

来源：Journal of Sound and Vibration, 2005, 285(3): 653-667.

DOI：10.1016/j.jsv.2004.08.034

A stable adaptive neural-network-based control scheme for dynamical systems is presented and a continuous recurrent neural network model of dynamical systems is constructed in this paper. A novel algorithm for updating weights in the neural network, which is not derived from the conventional back propagation algorithm, is also constructed. The proposed control law is obtained adaptively by a continuous recurrent neural network identifier, but not by a conventional neural network controller. In such a way, the stability in the sense of the Lyapunov stability can be guaranteed theoretically. The control error converges to a range near the zero point and remains within the domain throughout the course of the execution. Numerical experiments for a longitudinal vibration ultrasonic motor show that the proposed control scheme has good control performance.

• 出版日期2005-7-22
• 单位南京航空航天大学; 吉林大学