| 不确定离散时滞分段系统的广义H2弹性控制 |
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| 引用本文： | 夏志乐,李江荣. 不确定离散时滞分段系统的广义H2弹性控制[J]. 控制工程, 2007, 14(Z1) |
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| 作者姓名： | 夏志乐 李江荣 |
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| 作者单位： | 1. 台州学院,数学与信息工程学院,浙江,台州,317000
2. 延安大学,计算机学院,陕西,延安,716000 |
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| 摘 要： | 针对一类不确定离散时滞分段系统,研究了广义H2稳定性分析和带有时滞的状态反馈弹性控制器设计问题.通过构造适当的离散分段二次李亚普诺夫函数,利用分段二次李亚普诺夫稳定性理论,给出了对于所有的容许参数不确定性,闭环系统是广义H2稳定的充分条件;在此基础上,基于线性矩阵不等式(LMI)处理方法,提出了带有时滞的状态反馈弹性控制器增益阵的设计方案.仿真实例验证了所提方法的有效性.
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| 关 键 词： | 离散分段系统 弹性控制 分段二次李亚普诺夫函数 广义H2控制 不确定性 离散时滞 分段二次 闭环系统 弹性控制器 Systems Piecewise Discrete Uncertain Control Resilient 有效性 处理方法 实例验证 仿真 的设计方案 增益阵 矩阵不等式 线性 充分条件 |
General H2 Resilient Control for Uncertain Discrete Time-delay Piecewise Systems |
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| XIA Zhi-le,LI Jiang-rong. General H2 Resilient Control for Uncertain Discrete Time-delay Piecewise Systems[J]. Control Engineering of China, 2007, 14(Z1) |
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| Authors: | XIA Zhi-le LI Jiang-rong |
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| Abstract: | According to a uncertain discrete time-delay piecewise systems,the general H_2 stability analysis and time-delay resilient controller design problems are studied.General H_2 stability sufficient conditions of the closed-loop system for all admissible uncertainties are derived from constructing an appropriate discrete piecewise quadratic Lyapunov function.Based on linear matrix inequality(LMI)method,the design scheme for resilient controller is also provided.A numerical example shows the feasibility and effectiveness of the proposed method. |
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| Keywords: | discrete-time piecewise systems resilient control piecewise quadratic Lyapunov function generalized H_2 control |
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