不确定时滞摄动滤波误差动态系统的稳定性分析

孙凤琪

doi:10.21656/1000-0887.400368

不确定时滞摄动滤波误差动态系统的稳定性分析

doi: 10.21656/1000-0887.400368

孙凤琪

吉林师范大学数学学院, 吉林四平 136000

基金项目: 国家自然科学基金(61741318)

详细信息

作者简介:
孙凤琪(1968—),女，教授，博士，硕士生导师(E-mail: 1092748497@qq.com).

中图分类号: O231.2
计量
- 文章访问数: 1457
- HTML全文浏览量: 230
- PDF下载量: 400
- 被引次数: 0
出版历程
- 收稿日期: 2019-12-09
- 修回日期: 2020-06-17
- 刊出日期: 2020-08-01

Stability Analysis of Uncertain Singularly Perturbed Filter Error Dynamic Systems With Time Delays

SUN Fengqi

College of Mathematicals, Jilin Normal University, Siping, Jilin 136000, P.R.China

Funds: The National Natural Science Foundation of China(61741318)

摘要

摘要: 基于Lyapunov稳定性理论、线性矩阵不等式方法、时滞分段分析方法、自由权矩阵方法、矩阵分析方法等,该文在前期滤波器设计理论基础上,进一步研究了含有不确定性结构的时变时滞奇异摄动滤波误差动态系统的稳定性分析问题.通过构造新的Lyapunov泛函，引用新的交叉项界定法并根据系统特性,推出了时滞依赖和时滞独立两种情形下新的滤波误差动态系统稳定性判别条件.最后,给出数值样例表明该文所得结果的有效性和可行性.
- 滤波误差动态系统 /
- 线性矩阵不等式(LMI) /
- 时滞系统 /
- 时滞依赖 /
- 时滞独立 /
- 不确定系统 /
- 滤波器设计 /
- Lyapunov-Krasovskii泛函
Abstract: With the Lyapunov stability theory, the linear matrix inequality method, the time delay piecewise analysis method, the matrix analysis method and the free weight matrix method, the stability of singularly perturbed filter error dynamic systems with time-varying delays and uncertain structures was studied on the basis of the previous filter design theory. Through construction of a new Lyapunov function, with a new cross-term definition method and according to the system characteristics, a new criterion for stability of filter error dynamic systems in 2 cases of time delay dependence and time delay independence was derived. Finally, the selected numerical example illustrates the effectiveness and feasibility of the obtained results.
- filter error dynamic system /
- linear matrix inequality (LMI) /
- time-delay system /
- delay-dependent /
- delay-independent /
- uncertain system /
- filter design /
- Lyapunov-Krasovskii functional

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参考文献(19)

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