网络控制系统H∞鲁棒控制器设计

针对存在不确定时延的网络控制系统，将未知扰动和建模误差转换为满足给定约束的矩阵，建立具有参数不确定性的网络控制系统模型。基于Lapunov稳定性理论证明控制系统渐近稳定，结合线性矩阵不等式完成H∞鲁棒控制器设计。通过仿真实验，比较在不同时延条件下系统的状态响应曲线，结果证明所设计的胃。鲁棒控制器可以解决系统中存在不确定建模误差、干扰和时延等问题，具有一定的鲁棒性。...

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Bibliographic Details
Published in计算机应用研究 Vol. 31; no. 2; pp. 472 - 475
Main Author 陆仲达 田群宏 王俊科 徐凤霞
Format Journal Article
LanguageChinese
Published College of Computer & Control Engineering，Qiqihar University，Qiqihar Heilongjiang 161006，Chin 2014
Subjects
H∞鲁棒控制器
Lyapunov函数
不确定时延
线性矩阵不等式
鲁棒性
H◣▼∞▽鲁棒控制器
linear matrix inequality(LMI)
robustness
不确定时延
Lyapunov函数
线性矩阵不等式
鲁棒性
uncertain time delay
Lyapunov function
robust H▼∞▽controller
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ISSN1001-3695
DOI10.3969/j.issn.1001-3695.2014.02.035

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Summary:针对存在不确定时延的网络控制系统，将未知扰动和建模误差转换为满足给定约束的矩阵，建立具有参数不确定性的网络控制系统模型。基于Lapunov稳定性理论证明控制系统渐近稳定，结合线性矩阵不等式完成H∞鲁棒控制器设计。通过仿真实验，比较在不同时延条件下系统的状态响应曲线，结果证明所设计的胃。鲁棒控制器可以解决系统中存在不确定建模误差、干扰和时延等问题，具有一定的鲁棒性。
Bibliography:51-1196/TP
uncertain time delay ; Lyapunov function ; linear matrix inequality （LMI） ; robust H∞ controller ; robustness
LU Zhong-da, TIAN Qun-hong, WANG Jun-ke, XU Feng-xia （College of Computer ＆ Control Engineering, Qiqihar University, Qiqihar Heilongiiang 161006, China）
For the networked control systems with uncertain time delay, the unknown disturbances and the modeling error were transformed into the matrix which met the given constraint condition, this paper set up the model of parameter uncertainty net- worked control systems. Based on Lyapunov stability theory,it proved the asymptotic stability for the system, and designed the robust H∞ controller by using LMI. In the simulation experiment,it compared the state response under diverse time delay conditions, and the results show that the robust H∞ controller has the robustness and can solve the uncertainties of modeling error, dis- turbance and time delay for the control systems.
ISSN:1001-3695
DOI:10.3969/j.issn.1001-3695.2014.02.035