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离散线性切换系统的一致有限时间稳定分析和反馈控制及其在网络控制系统中的应用
引用本文:林相泽,都海波,李世华.离散线性切换系统的一致有限时间稳定分析和反馈控制及其在网络控制系统中的应用[J].控制与决策,2011,26(6):841-846.
作者姓名:林相泽  都海波  李世华
作者单位:1. 南京农业大学工学院,南京,210031
2. 东南大学自动化学院,南京,210096
基金项目:教育部博士点基金项目(20090092110022);南京农业大学青年科技创新基金项目(KJ09029)
摘    要:研究了一类离散线性切换系统的一致有限时间稳定性分析和反馈镇定.基于线性矩阵不等式技术,给出了在任意切换信号作用下,离散线性切换系统有限时间稳定和有限时间有界的充分条件,并给出了离散线性切换控制系统一致有限时间状态反馈控制器的设计方法.将上述分析结果应用于一类丢包有界的网络控制系统,得到了保证其有限时间稳定的反馈控制器.最后,通过两个数值仿真例子验证了所提方法的有效性.

关 键 词:离散线性切换系统  线性矩阵不等式  有限时间稳定  网络控制系统
收稿时间:2010/3/3 0:00:00
修稿时间:2010/5/18 0:00:00

Uniform finite-time stability and feedback stabilization for discrete-time
switched linear systems and its application to networked control systems
LIN Xiang-ze,DU Hai-bo,LI Shi-hua.Uniform finite-time stability and feedback stabilization for discrete-time
switched linear systems and its application to networked control systems[J].Control and Decision,2011,26(6):841-846.
Authors:LIN Xiang-ze  DU Hai-bo  LI Shi-hua
Affiliation:1.College of Engineering,Nanjing Agricultural University,Nanjing 210031,China;2.School of Automation, Southeast University,Nanjing 210096,China.
Abstract:

Uniform finite-time stability and feedback stabilization for a class of discrete-time switched linear systems are
discussed. Based on linear matrix inequalities techniques, sufficient conditions under which discrete-time switched systems
with arbitrary switching signals are finite-time stable and finite-time bounded are given. Then, state feedback controllers
are designed to guarantee discrete-time switched systems uniform finite-time stable. Applying these analysis results to a
class of networked control systems with bounded packet loss, finite-time state feedback controllers are obtained. Finally, two
numerical examples show the effectiveness of the proposed method.

Keywords:discrete-time switched linear systems  linear matrix inequalities  finite-time stablility  networked control systerms
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