网络化控制系统鲁棒H_∞观测器-控制器设计  

Design of robust H_∞ observer-controller for networked control systems

作　　者：孔德明[1] 方华京[1] 

机构地区：[1]华中科技大学控制科学与工程系

出　　处：《系统工程与电子技术》2007年第9期1500-1504,共5页Systems Engineering and Electronics

基　　金：国家自然科学基金资助课题(60574088;60274014)

摘　　要：研究一类网络化控制系统的鲁棒H∞观测器-控制器的设计问题。假设网络化控制系统的网络诱导时滞是时变的、不确定的,且小于一个传感器采样周期,将此类网络化控制系统的广义被控对象建模为一类不确定离散系统,进而对此不确定离散系统构造了观测器以及控制器。然后利用鲁棒H∞控制理论以及线性矩阵不等式(LMI)方法,推导出了该不确定离散系统渐近稳定并且满足给定的H∞性能指标的充分条件。根据此充分条件,通过求解一个代数Riccati方程以及线性矩阵不等式,很容易设计出了系统的观测器以及控制器。最后给出一个具体的数值和仿真实例说明了此设计方法是有效的。The robust H∞ observer-controller for a class of networked control systems （NCS） is studied. Supposed that the networked induced delays are time-variant, uncertain and less than the sampling period, the generalized plant is modeled as an uncertain discrete system and observer-controller is constructed for the uncertain discrete system. Then a sufficient condition for the discrete system that is subject to the asymptotic stability and H∞ performance is derived in means of robust control theories and linear matrix inequality （LMI） techniques. The observer and controller are designed easily in terms of an algebraic Riccati equation and linear matrix inequality, where efficient solution procedures are available. The numerical example and simulation are presented to demonstrate the effectiveness of the approach.

关 键 词：网络化控制系统 鲁棒H∞ 控制 线性矩阵不等式 时滞 不确定离散系统 观测器 控制器 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]