驻留概率信息方法的离散切换系统H_∞滤波器设计  

H_∞ CONTROL FOR DISCRETE SWITCHED SYSTEMS BY USING SOJOURN-PROBABILITY-DEPENDENT METHOD

作　　者：陈宏田 袁月华[1] 田恩刚[1] 

机构地区：[1]南京师范大学电气与自动化工程学院,南京210042

出　　处：《系统科学与数学》2015年第4期429-438,共10页Journal of Systems Science and Mathematical Sciences

基　　金：国家自然科学基金(61273115);江苏省实践创新计划项目(SJLX_0314)资助课题

摘　　要：通过基于驻留概率信息的方法,研究了一类具有时变延迟离散切换系统的H_∞滤波器设计的问题.通过对切换系统在每个子系统的驻留概率信息加以利用,建立一种新型切换系统模型和滤波器模型.利用Lyapunov函数及线性矩阵不等式方法,给出切换系统的H_∞均方稳定的充分条件,然后得到H_∞滤波器增益.最后,通过仿真算例来验证文章所用方法的有效性.We propose a sojourn-probability-dependent method to investigate H∞ filtering design for a class of discrete switched systems with time varying delay. A new type of switched system model and filter model is built by using the sojourn probability information. The sufficient condition of H∞ mean square stability for switched systems is given via Lyapunov functional method. Then robust H∞ filtering gains are derived. A numerical example is given to demonstrate the effectiveness and applicability of the proposed method.

关 键 词：驻留概率 切换系统 LYAPUNOV函数 H∞滤波器 

分 类 号：TN713[电子电信—电路与系统]