一类通讯受限不确定网络控制系统鲁棒H_∞滤波  

Robust H_∞ filtering for a class of uncertain networked control systems with limited communication

作　　者：夏红伟[1] 马广程[1] 王常虹[1] 马闯[1] 

机构地区：[1]哈尔滨工业大学航天学院,哈尔滨150001

出　　处：《控制与决策》2008年第8期888-893,共6页Control and Decision

基　　金：国家自然科学基金项目(60504008)

摘　　要：针对一类通讯受限的不确定网络控制系统,研究了鲁棒H∞滤波器设计问题.通过引入两个附加的松弛矩阵使Lyapunov矩阵和系统矩阵得到分离,得到了一个新的具有更低保守性的鲁棒H∞性能判据,并基于该判据设计了系统的鲁棒H∞滤波器.当将其应用于具有凸多面体不确定性的网络控制系统时可以得到和系统不确定性相关联的Lyapunov函数,有效降低了设计的保守性.数值算例验证了所提出算法的可行性和优越性.The problem of robust filtering is studied for networked control systems with limited bandwidth and polytopic uncertainties. Through introducing two slack matrices for separation between the systems matrices and the Lyapunov matrices, a new H∞ performance criterion with a less conservativeness is obtained, which is used to design a robust H∞ filter. By applying the filter on polytopic uncertain system, the vertex-dependent Lyapunov functions can be adopted to deliver a less conservative result. A numerical example is employed to illustrate the effect of the proposed approach.

关 键 词：网络控制系统 离散系统 鲁棒滤波 参数依赖 

分 类 号：TP13[自动化与计算机技术—控制理论与控制工程]