采样控制系统的稳定性分析新方法

练红海,肖伸平,邓鹏

系统科学与数学 ›› 2020, Vol. 40 ›› Issue (5) : 783-796.

PDF(491 KB)
PDF(491 KB)
系统科学与数学 ›› 2020, Vol. 40 ›› Issue (5) : 783-796. DOI: 10.12341/jssms13891
论文

采样控制系统的稳定性分析新方法

    练红海1,2,肖伸平2,3,邓鹏1,2
作者信息 +

New Methods of Stability Analysis for Sampled-Data Control Systems

    LIAN Honghai 1,2 ,XIAO Shenping 2,3 ,DENG Peng 1,2
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摘要

针对采样控制系统的渐近稳定性问题. 结合整个采样间隔[tk,tk+1)的特征信息和N阶B-L (Bessel-Legendre) 不等 式, 首次提出一个N-相关的双边闭环L-K (Lyapunov-Krasovskii) 泛函. 利用N阶B-L不等式估计L-K 泛函的导数, 建立了采样控制系统的渐近稳定性新条件. 最后通过2个数值算例验证了所得条件的有效性和优越性.

Abstract

This paper investigates the problem of asymptotic stability for sampled-data control systems. Based on the characteristic information on the whole sampling interval [tk,tk+1) combined with the N-order Bessel-Legendre (B-L) inequality, an N-dependent-based two-side looped Lyapunov-Krasovskii (L-K) functional is proposed for the first time. Then, by employing the B-L inequality to estimate the derivative of the L-K functional, A new asymptotic stability condition is established for sampled-data control systems. Finally, two numerical examples are provided to verify the effectiveness and superiority of proposed method. } \EKeywords{Sampled-data control system, Stability, B-L inequality, N-dependent-based two-side looped L-K functional.

关键词

采样控制系统 / 稳定性 / B-L不等式 / N-相关的双边闭环L-K泛函.

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练红海 , 肖伸平 , 邓鹏. 采样控制系统的稳定性分析新方法. 系统科学与数学, 2020, 40(5): 783-796. https://doi.org/10.12341/jssms13891
LIAN Honghai , XIAO Shenping , DENG Peng. New Methods of Stability Analysis for Sampled-Data Control Systems. Journal of Systems Science and Mathematical Sciences, 2020, 40(5): 783-796 https://doi.org/10.12341/jssms13891
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