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| 非线性中立型控制系统的鲁棒稳定与鲁棒镇定 | |
| 引用本文： | 包俊东,邓飞其,罗琦. 非线性中立型控制系统的鲁棒稳定与鲁棒镇定[J]. 系统工程与电子技术, 2004, 26(3): 361-363 |
| 作者姓名： | 包俊东 邓飞其 罗琦 |
| 作者单位： | 1. 华南理工大学自动化科学与工程学院,广东,广州,510640;内蒙古师范大学数学系,内蒙古,呼和浩特,010022 2. 华南理工大学自动化科学与工程学院,广东,广州,510640 3. 华南理工大学自动化科学与工程学院,广东,广州,510640;武汉科技大学理学院,湖北,武汉,430081 |
| 基金项目： | 国家自然科学基金(69874051,69334030)，内蒙古自然科学基金资助课题(200308020101) |
| 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。 |
| 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 |
| 文章编号： | 1001-506X(2004)03-0361-03 |
| 修稿时间： | 2002-10-10 |
Robust stability and robust stabilization for a class of nonlinear neutral type control systems with uncertainties |
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| BAO Jun-dong. Robust stability and robust stabilization for a class of nonlinear neutral type control systems with uncertainties[J]. System Engineering and Electronics, 2004, 26(3): 361-363 | |
| Authors: | BAO Jun-dong |
| Affiliation: | BAO Jun-dong~ |
| Abstract: | 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. |
| Keywords: | uncertainties nonlinear neutral type systems retarded type systems robust stability and stabilization delay-independent |
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