考虑时滞的采样控制系统稳定性分析

邓鹏,练红海,肖伸平,刘万太,李谟发

系统科学与数学 ›› 2019, Vol. 39 ›› Issue (9) : 1347-1360.

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PDF(532 KB)
系统科学与数学 ›› 2019, Vol. 39 ›› Issue (9) : 1347-1360. DOI: 10.12341/jssms13713
论文

 考虑时滞的采样控制系统稳定性分析

    邓鹏1,2,练红海1,2,肖伸平2,3,刘万太1,李谟发1,4
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Stability Analysis of Sampled-Data Control Systems with Communication Delays

    DENG Peng 1,2 ,LIAN Honghai 1,2 ,XIAO Shenping 2,3 ,LIU Wantai1 ,LI Mofa 1,4
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摘要

采用新的闭环Lyapunov泛函讨论含有通信时滞的变周期采样控制系统鲁棒稳定性问题. 通过充分考虑整个采样区间[tk,tk+1)的特征信息, 提出一种新颖的双边时间相关闭环Lyapunov泛函. 利用提出的闭环Lyapunov泛函和修改版的3阶Bessel-Legendre不等式, 建立了变周期采样控制系统的鲁棒稳定性条件. 算例仿真表明, 提出的方法相对已有文献报道的方法具有更低的保守性.

Abstract

A new looped Lyapunov functional is employed to discuss the problem of the robust stability of aperiodically sampled-data control systems with communication delays. By taking full advantage of characteristic information on the whole sampling interval [tk,tk+1), a novel two-side time-dependent looped Lyapunov functional is presented. By using the proposed looped Lyapunov functional and the modified 3-order Bessel-Legendre inequality, some new robust stability criteria are established for the considered system. Several simulation examples show that the presented methods in this paper are less conservatism that some existing ones.

关键词

稳定性 / 采样控制系统 / 通信时滞 / 双边时间相关闭环Lyapunov泛函.

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邓鹏 , 练红海 , 肖伸平 , 刘万太 , 李谟发.  考虑时滞的采样控制系统稳定性分析. 系统科学与数学, 2019, 39(9): 1347-1360. https://doi.org/10.12341/jssms13713
DENG Peng , LIAN Honghai , XIAO Shenping , LIU Wantai , LI Mofa. Stability Analysis of Sampled-Data Control Systems with Communication Delays. Journal of Systems Science and Mathematical Sciences, 2019, 39(9): 1347-1360 https://doi.org/10.12341/jssms13713
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