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Delay-dependent robust stability of uncertain networked control systems with multiple state time-delays
引用本文:Huaicheng YAN,Xinhan HUANG,Min WANG. Delay-dependent robust stability of uncertain networked control systems with multiple state time-delays[J]. 控制理论与应用(英文版), 2007, 5(2): 164-170. DOI: 10.1007/s11768-006-6004-4
作者姓名:Huaicheng YAN  Xinhan HUANG  Min WANG
作者单位:Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074,China.
基金项目:This work was supported by the National Natural Science Foundation of China(No.60275013).
摘    要:In this paper, delay-dependent robust stability for a class of uncertain networked control systems (NCSs) with multiple state time-delays is investigated. Modeling of multi-input and multi-output (MIMO) NCSs with networkinduced delays and uncertainties through new methods are proposed. Some new stability criteria in terms of LMIs are derived by using Lyapunov stability theory combined with linear matrix inequalities (LMIs) techniques. We analyze the delay-dependent asymptotic stability and obtain maximum allowable delay bound (MADB) for the NCSs with the proposed methods. Compared with the reported results, the proposed results obtain a much less conservative MADB which are more general. Numerical example and simulation is used to illustrate the effectiveness of the proposed methods.

关 键 词:不确定网络控制系统 多状态时滞 时滞相关鲁棒稳定性 线性矩阵不等式
收稿时间:2006-01-10
修稿时间:2006-05-20

Delay-dependent robust stability of uncertain networked control systems with multiple state time-delays
Huaicheng YAN;Xinhan HUANG;Min WANG. Delay-dependent robust stability of uncertain networked control systems with multiple state time-delays[J]. Journal of Control Theory and Applications, 2007, 5(2): 164-170. DOI: 10.1007/s11768-006-6004-4
Authors:Huaicheng YAN  Xinhan HUANG  Min WANG
Affiliation:Department of Control Science and Engineering, Huazhong University of Science and Technology, Wuhan Hubei 430074,China.
Abstract:In this paper, delay-dependent robust stability for a class ofuncertain networked control systems (NCSs) with multiple statetime-delays is investigated. Modeling of multi-input andmulti-output (MIMO) NCSs with network-induced delays anduncertainties through new methods are proposed. Some new stabilitycriteria in terms of LMIs are derived by using Lyapunov stabilitytheory combined with linear matrix inequalities (LMIs) techniques.We analyze the delay-dependent asymptotic stability and obtainmaximum allowable delay bound (MADB) for the NCSs with the proposedmethods. Compared with the reported results, the proposed resultsobtain a much less conservative MADB which are more general.Numerical example and simulation is used to illustrate theeffectiveness of the proposed methods.
Keywords:etworked control systems(NCSs)   Delay-dependent robust stability  Linear matrix inequalities (LMIs)   Networked-induced delay   Maximumallowable delay bound(MADB)
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