具有时变传输周期的奇异网络化系统鲁棒控制 |
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作者单位: | ;1.周口师范学院数学与统计学院;2.华东师范大学数学系应用数学与交叉学科研究中心 |
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摘 要: | 研究了一类具有时变传输周期的奇异系统网络化控制问题.在无传输时滞和丢包的条件下,将时变传输周期变量看作参数不确定项,从而系统可转化为异步动态不确定系统.进一步地,利用Lyapunov稳定性理论和线性矩阵不等式方法,研究该异步动态系统的反馈控制问题.给出了有效的控制器设计方法和系统稳定的充分条件.最后,通过数值仿真例子验证了本文方法的有效性.
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关 键 词: | 时变传输周期 奇异系统 网络化控制 线性矩阵不等式 |
Robust Control for Singular Networked Systems with Time-Varying Transmission Period |
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Affiliation: | ,School of Mathematics and Statistics,Zhoukou Normal University,Center for Applied and Multidisciplinary Mathematics,Department of Mathematics,East China Normal University |
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Abstract: | The networked control problem for a class of singular systems with time-varying transmission period was addressed.Firstly,the singular networked control system was transformed as an asynchronous dynamical system in the case of no networked-induced delay and no data packet dropout.Meanwhile,the time-varying transmission period was regarded as a time-varying uncertain parameter.Further,the feedback stabilization of the asynchronous dynamical system was studied by Lyapunov stability theory and linear matrix inequality techniques.A sufficient condition was presented such that the system was asymptotically stable.Finally,a numerical example was presented to illustrate the effectiveness of the proposed method. |
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Keywords: | time-varying transmission period singular system networked control robust control linear matrix inequality(LMI) |
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