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具有数据包丢失的网络控制系统保性能控制
引用本文:宋洪波,俞 立,张文安.具有数据包丢失的网络控制系统保性能控制[J].控制理论与应用,2008,25(5):913-916.
作者姓名:宋洪波  俞 立  张文安
作者单位:浙江工业大学,信息工程学院,浙江,杭州,310032
摘    要:本文研究了一类具有数据包丢失的网络控制系统(NCSs)的建模和保性能控制问题.通过用两个马尔可夫链分别来描述前向通道和反馈通道的丢包过程,将闭环网络控制系统建模成具有两个模式的马尔可夫随机切换系统.基于线性矩阵不等式技术和李亚普诺夫方法得到了闭环系统随机稳定的充分条件,并给出了状态反馈保性能控制器的设计方法.最后通过数值算例验证本文结果的有效性.

关 键 词:网络控制系统  数据包丢失  马尔可夫切换系统  随机稳定  保性能控制
收稿时间:2006/12/18 0:00:00
修稿时间:2007/12/28 0:00:00

Guaranteed cost control of networked control systems with packet dropouts
SONG Hong-bo,YU Li and ZHANG Wen-an.Guaranteed cost control of networked control systems with packet dropouts[J].Control Theory & Applications,2008,25(5):913-916.
Authors:SONG Hong-bo  YU Li and ZHANG Wen-an
Affiliation:College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310032, China;College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310032, China;College of Information Engineering, Zhejiang University of Technology, Hangzhou Zhejiang 310032, China
Abstract:The modeling and guaranteed cost control for a class of networked control systems (NCSs) with packet dropouts are addressed. The packet dropout processes in the forward channel and feedback channel are modeled as two Markov chains and the overall closed-loop NCS is modeled as a Markovian switched system with two modes. Based on the linear matrix inequality (LMI) technique and the Lyapunov method, a sufficient condition is derived for the stochastic stability of the closed-loop NCS, and a design procedure is presented for the guaranteed cost state feedback controller. Finally, an illustrative example is given to show the effectiveness of the proposed results.
Keywords:networked control systems  packet dropouts  Markovian switched system  stochastic stability  guaranteed cost control
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