摘要
对于一类连续时间的非线性动态系统x=f(x)+Bu+d,当系统中的非线性函数f(x)满足线性增长条件时,首先证明了f(x)中的x落入一紧集中,然后根据神经网络的逼近性质,给出了自适应调节器的设计方法.利用Lyapunov稳定性理论,证明了控制算法是全局稳定的,闭环系统状态是一致最终有界的.
For a class of nonlinear dynamical system, when the nonlinear function f(x) satisfies linear growth condition, it was first proved that x falls into a compact set, then the adaptive regulator is proposed based on the approximation capability of neural networks. According to the Lyapunov stability theory, the algorithm is proved to be globally stable, uniformly ultimate boundedness of closed\|loop system is guaranteed.
出处
《大连理工大学学报》
CAS
CSCD
北大核心
2002年第6期737-740,共4页
Journal of Dalian University of Technology
基金
山东省自然科学基金资助项目(Y2000G08).