| 具有饱和控制器的时滞系统的稳定性 |
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| 引用本文： | 王居凤,孙继涛.具有饱和控制器的时滞系统的稳定性[J].同济大学学报(自然科学版),2003,31(8):951-954. |
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| 作者姓名： | 王居凤 孙继涛 |
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| 作者单位： | 1. 中国计量学院,信息与数学科学系,浙江,杭州,310034
2. 同济大学,应用数学系,上海,200092 |
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| 摘 要： | 阐述了具有饱和控制器及状态时滞的连续线性系统的稳定性 .通过李雅普诺夫函数方法检验哈密顿矩阵 ,以及解代数黎卡提方程或解线性矩阵不等式 ,决定一个状态反馈控制律 ,使得当控制饱和发生时系统稳定 .数值仿真说明了所设计的状态反馈控制律的有效性
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| 关 键 词： | 饱和控制器 时滞 哈密顿矩阵 黎卡提方程 线性矩阵不等式 李雅普诺夫函数 |
| 文章编号： | 0253-374X(2003)08-0951-04 |
| 修稿时间： | 2002年6月4日 |
Stabilization of Time-delay Systems with Saturating Control |
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| WANG Ju-feng ,SUN Ji-tao.Stabilization of Time-delay Systems with Saturating Control[J].Journal of Tongji University(Natural Science),2003,31(8):951-954. |
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| Authors: | WANG Ju-feng SUN Ji-tao |
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| Institution: | WANG Ju-feng 1,SUN Ji-tao 2 |
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| Abstract: | The stabilization of linear continuous-time systems with time delay in the state and subject to saturating controls is addressed.A state feedback control law is determined via the Lyapunov functional approach,checking the Hamiltonian matrix and solving an algebraic Riccati equation or solving linear matrix inequalities for which the stability of the closed-loop system is guaranteed when control saturation effectively occurs.A numerical example is given to illustrate the state feedback control law. |
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| Keywords: | saturating control time-delay Hamiltonnian matrix Riccati equation linear matrix inequality Lyapunov function |
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