| 一类不确定脉冲时滞系统的指数镇定 |
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| 作者单位： | 江南大学通信与控制工程学院 |
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| 摘 要： | 针对一类不确定脉冲时滞系统的鲁棒控制问题,通过设计鲁棒状态反馈控制器以消除脉冲扰动和时滞对系统的影响,从而使系统稳定.为此基于Lyapunov稳定性理论,选取适当的Lyapunov函数并结合Riccati方程以及线性矩阵不等式技术,设计状态反馈控制器,使得闭环系统实现鲁棒指数稳定.通过求解线性矩阵不等式给出鲁棒控制器的设计方法,最后通过数值例子说明方法的有效性.
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| 关 键 词： | 脉冲时滞系统 线性矩阵不等式 指数镇定 鲁棒控制器 |
Robust exponential stabilization of uncertain impulsive system with time delay |
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| Authors: | Ding Shujie Cui Baotong |
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| Abstract: | The problem of robust control for uncertain impulsive system with time delay has been studied.A robust state feedback controller is presented to eliminate the disturbance of pulse and time delay,which makes the system stable.The state feedback controller is designed based on the Lyapunov stability theory by selecting an appropriate Lyapunov function,combined with Riccati equation and linear matrix inequality(LMI) technology.It makes the closed-loop system realize exponedtial stabilization. The design method of the controller is giving by solving a LMI.A numerical example illustrates the theoretical results. |
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| Keywords: | impulsive system with time delay linear matrix inequality exponential stabilization robust controller |
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