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具有非线性扰动的网络控制系统的鲁棒稳定化
引用本文:于水情,李俊民.具有非线性扰动的网络控制系统的鲁棒稳定化[J].控制与决策,2012,27(12):1917-1920.
作者姓名:于水情  李俊民
作者单位:1. 西安电子科技大学理学院,西安710071;西安财经学院统计学院,西安710100
2. 西安电子科技大学理学院,西安,710071
基金项目:国家自然科学基金项目(60974139);中央高校基本科研业务费专项资金项目(72103676)
摘    要:针对一类具有随机时延和非线性扰动的网络控制系统,利用变采样周期的方法,将连续被控对象离散化,使网络控制系统建模为部分转移概率未知的非线性Markov跳变系统.通过随机Lyapunov方法,给出保证整个闭环系统随机稳定的充分条件,同时得到非线性扰动项的最大界.仿真算例表明了所提出方法的有效性.

关 键 词:网络控制系统  变采样周期  非线性扰动  部分转移概率未知  线性矩阵不等式
收稿时间:2011/6/14 0:00:00
修稿时间:2011/12/13 0:00:00

Robust stabilization of networked control systems with nonlinear
perturbation
YU Shui-qing,LI Jun-min.Robust stabilization of networked control systems with nonlinear
perturbation[J].Control and Decision,2012,27(12):1917-1920.
Authors:YU Shui-qing  LI Jun-min
Affiliation:1(1.School of Science,Xidian University,Xi’an 710071,China;2.School of Statistics,Xi’an University of Finance and Economics,Xi’an 710100,China)
Abstract:

For a class of networked control systems with random delay and nonlinear perturbation, by applying variableperiod
sampling method, the discretization of networked control systems is modeled as a nonlinear Markovian jump systems
with partly unknown transition probabilities. By means of the stochastic Lyapunov method, a sufficient condition is presented,
which guarantees the stochastical stability of the closed-loop system and at the same time maximizes the bound on the nonlinearity.
A simulation example is presented to illustrate the effectiveness of the proposed method.

Keywords:

networked control systems| variable-period sampling| nonlinear perturbation| partly unknown transition probabilities| linear matrix inequality

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