| 一类状态及输入均有区间变时滞的线性系统之镇定 |
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| 引用本文： | 郑 敏,费树岷.一类状态及输入均有区间变时滞的线性系统之镇定[J].控制理论与应用,2008,25(5):956-958. |
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| 作者姓名： | 郑 敏 费树岷 |
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| 作者单位： | 上海大学,机电工程与自动化学院,上海,200072;东南大学,自动化学院,江苏,南京,210096 |
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| 摘 要： | 对一类同时具有状态和输入变时滞的线性系统(x)(t)=Ax(t) A1x(t-τ1(t)) B1u(t) B2υ(t-τ2(t)),利用一种时滞划分形式的Lyapunov-Krasovskii泛函讨论其镇定问题.得到通过状态反馈控制使闭环系统稳定的时滞相关的镇定准则.对(A,B1)和(A A1,B1)都不可控的数值实例,利用本文给出的准则都能得到有效的控制.
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| 关 键 词： | 输入时滞 状态时滞 镇定 Lyapunov-Krasovskii泛函.线性矩阵不等式 |
| 收稿时间： | 2007/2/27 0:00:00 |
| 修稿时间： | 2007/8/30 0:00:00 |
Stabilization of linear systems with interval time-varying delay in both state and input |
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| ZHENG Min and FEI Shu-min.Stabilization of linear systems with interval time-varying delay in both state and input[J].Control Theory & Applications,2008,25(5):956-958. |
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| Authors: | ZHENG Min and FEI Shu-min |
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| Affiliation: | College of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China; College of Automation, Southeast University, Nanjing Jiangsu 210096, China;College of Mechatronics Engineering and Automation, Shanghai University, Shanghai 200072, China; College of Automation, Southeast University, Nanjing Jiangsu 210096, China |
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| Abstract: | A new Lyapunov-Krasovskii functional based on fractioning the average delay is presented to synthesize the stabilization of linear systems with interval time-varying delay in both state and input. A new functional is used to obtain the delay-dependent criterion for ensuring the stability for the closed-loop system with a state feedback controller. Numerical example is given to demonstrate the effectiveness of the proposed method, even though the pairs (A,B1)and/or(A + A1,B11)are not controllable. |
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| Keywords: | input delays state delays stabilization Lyapunov-Krasovskii functional linear matrix inequality(LMI) |
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