机构地区: 华南理工大学自动化科学与工程学院
出 处: 《系统工程与电子技术》 2004年第3期361-363,422,共4页
摘 要: 研究了一类不确定性的非线性中立型动态系统,系统具有多重时不变状态时滞。其不确定性满足范数有界条件。采用LyapunovV泛函的方法。建立了一类Lyapunov泛函。通过对控制系统(B,D,C)的分析,得出只要矩阵对(B,D)是完全可控的,或者是可稳定的,则在相应的条件下便得出相应的非线性中立型动态控制系统及滞后型动态系统可镇定的充分条件。建立了非线性中立型微分系统的时滞无关的渐近稳定性判别条件,以及非线性中立型动态控制系统的时滞无关鲁棒镇定的判据。同时,给出了相应的非线性滞后微分系统的时滞无关鲁棒稳定性的判据,以及非线性滞后动态控制系统的时滞无关鲁棒镇定性的代数判据。 A class of nonlinear neutral type and retarded type dynamic systems with uncertainties is studied. The uncertainties satisfy norm bounded condition. A class of Lyapunov functional is established. By analyzing the control system(B,D,C), sufficient conditions can obtain that, under the suitable conditions, the nonlinear neutral differential dynamic system and the corresponding retarded dynamic system can be stabilized. The robust asymptotic stability criteria for nonlinear neutral type and retarded type differential systems are obtained under the approach of Lyapunov functional. Simultaneously, the robust stabilization criteria for corresponding nonlinear neutral type and retarded type dynamic control systems are presented.
关 键 词: 不确定性 非线性中立型系统 滞后型系统 鲁棒镇定 时滞无关
领 域: [自动化与计算机技术] [自动化与计算机技术]