基于径向基函数网络或模糊系统的非线性连续时间系统的自适应调节  

Adaptive Regulation of Nonlinear Continuous Time Systems Using Radial Basis Function Networks or Fuzzy Systems

作　　者：解学军[1] 张大雷[2] 

机构地区：[1]曲阜师范大学自动化研究所,山东曲阜273165 [2]上海交通大学系统工程研究所,上海200030

出　　处：《系统工程理论与实践》2000年第2期8-14,共7页Systems Engineering-Theory & Practice

基　　金：国家自然科学基金!(69674 0 0 1);山东省自然科学基金! (Q99G0 4 )

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)满足有界或线性增长条件(具有未知的增长系数)时,首先证明了f(x)中的x落入一紧集中,然后根据径向基函数网络或模糊系统的逼近性质,给出了两种自适应调节器的设计方法.利用李亚普诺夫稳定性理论,证明了控制算法是全局稳定的,闭环系统的状态是一致最终有界的。For a class of nonlinear continuous time systems =f(x)+Bu+d, when the nonlinear function f(x) is bounded or satisfies linear growth condition with unknown growth coefficient, we first prove that x falls into a compact set, then two adaptive regulators are proposed based on the approximation capability of radial basis function networks or fuzzy systems. According to the Lyapunov stability theory, the control algorithms are proved to be globally stable, the state of closed\|loop system is uniformly ultimately bounded and the control law is continuous.

关 键 词：径向基函数网络 模糊系统 非线性连续系统 

分 类 号：TP271.62[自动化与计算机技术—检测技术与自动化装置] TP273.2[自动化与计算机技术—控制科学与工程]