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双率采样系统的基于观测器的网络化H∞控制

DOI: 10.16383/j.aas.2015.c150046, PP. 1788-1797

Keywords: 双率采样系统,基于观测器H∞控制,时变时滞系统,网络化控制系统

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Abstract:

?研究一类带有网络传输时滞和丢包的双率采样系统的网络化H∞控制问题.假设对象状态变量被分成两个分向量,同一分向量的状态变量由同一类传感器以相同周期采样,且两类传感器的采样频率不同.采样后的分向量分别通过非理想网络传输到控制器端.考虑到双率采样、网络传输时滞和丢包现象,引入同步观测器来估计对象状态并设计基于估计状态的控制器来镇定双率采样系统.基于这个思路,将双率采样的网络化控制系统建模为带有两个时变时滞的连续系统.利用Lyapunov-Krasovskii泛函方法,以矩阵不等式形式给出该系统的稳定性判据和控制器设计方法.最后,通过数值例子验证所提方法的有效性.

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