基于采样区间分割的线性系统稳定准则

练红海,覃事刚,肖伸平,肖会芹

系统科学与数学 ›› 2021, Vol. 41 ›› Issue (2) : 310-324.

PDF(460 KB)
PDF(460 KB)
系统科学与数学 ›› 2021, Vol. 41 ›› Issue (2) : 310-324. DOI: 10.12341/jssms14134
论文

基于采样区间分割的线性系统稳定准则

    练红海1,覃事刚1,肖伸平2,肖会芹2
作者信息 +

Stability Criteria of Linear Systems Based on Sampled-Interval Fragmentation Approach

    LIAN Honghai1 ,QIN Shigang1 ,XIAO Shenping2 ,XIAO Huiqin 2
Author information +
文章历史 +

摘要

针对具有网络时延的线性采样控制系统的稳定性问题, 基于分割后的采样区间和状态信息, 建立了新的双边采样区间依赖闭环Lyapunov泛函. 然后, 在Lyapunov泛函导数中引入分割后的系统状态方程, 并应用2阶Bessel-Legendre 不等式和自由矩阵不等式估计泛函导数中的积分项, 导出了低保守性的采样控制系统稳定性准则. 最后, 通过3个例子验证了提出方法的有效性和优越性.

Abstract

The paper aims at the stability of linear sampled-data control systems with network-induced delays. A new two-side sampled-interval-dependent looped Lyapunov functional is established based on the sampled-interval and system state of partition. Then, By introducing system state equation and using 2-order Bessel-Legendre inequality and free-matrix-based inequality to estimate single integral term in the derivative of Lyapunov functional, some less conservative stability criterion are derived for sampled-data control systems. Finally, two examples are provided to verify the validity and superiority of the proposed methods.

关键词

采样控制系统 / 通信时滞 / 稳定性 / 采样区间分割 / Lyapunov泛函.

引用本文

导出引用
练红海 , 覃事刚 , 肖伸平 , 肖会芹. 基于采样区间分割的线性系统稳定准则. 系统科学与数学, 2021, 41(2): 310-324. https://doi.org/10.12341/jssms14134
LIAN Honghai , QIN Shigang , XIAO Shenping , XIAO Huiqin. Stability Criteria of Linear Systems Based on Sampled-Interval Fragmentation Approach. Journal of Systems Science and Mathematical Sciences, 2021, 41(2): 310-324 https://doi.org/10.12341/jssms14134
PDF(460 KB)

Accesses

Citation

Detail

段落导航
相关文章

/