离散时间分段脉冲系统的有限时间稳定与滤波

计算机工程与应用 ›› 2015, Vol. 51 ›› Issue (20): 40-44.

离散时间分段脉冲系统的有限时间稳定与滤波

仝云旭1，李桂花1，刘婷婷2

1.南阳理工学院数理学院，河南南阳 473004
2.陕西师范大学数学与信息科学学院，西安 710119

出版日期:2015-10-15 发布日期:2015-10-30

Finite-time stability and filtering for discrete-time piecewise impulsive systems

TONG Yunxu1, LI Guihua1, LIU Tingting2

1.College of Mathematics and Physics, Nanyang Institute of Technology, Nanyang, Henan 473004, China
2.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China

Online:2015-10-15 Published:2015-10-30

摘要/Abstract

摘要： 利用线性矩阵不等式和松弛变量方法，研究了离散时间分段脉冲系统的有限时间稳定和滤波问题。一方面给出了滤波误差系统有限时间稳定和满足性能要求的充分条件。另一方面也给出了有限时间滤波问题可解的充分条件和滤波器的设计方法。最后通过数值算例表明了结论的可行性和有效性。

关键词: 有限时间稳定, 有限时间滤波, 脉冲系统, 离散时间系统

Abstract: Based on the linear matrix inequality and slack variable, the finite-time stability and filtering problems for discrete-time piecewise impulsive system are investigated. On one hand, the sufficient conditions are given for the filter error system which is finite-time stable and meets the performance requirement. On the other hand, the sufficient conditions for solving the finite-time filter problem are also obtained, and the design method of filter is presented. Finally, a numerical example is given to demonstrate the feasibility and effectiveness of the conclusion.

Key words: finite-time stability, finite-time filtering, impulsive system, discrete-time system

仝云旭1，李桂花1，刘婷婷2. 离散时间分段脉冲系统的有限时间稳定与滤波[J]. 计算机工程与应用, 2015, 51(20): 40-44.

TONG Yunxu1, LI Guihua1, LIU Tingting2. Finite-time stability and filtering for discrete-time piecewise impulsive systems[J]. Computer Engineering and Applications, 2015, 51(20): 40-44.

[1]	梁嘉琪，卜旭辉，刘建. 数据丢失下多智能体系统迭代学习跟踪控制[J]. 计算机工程与应用, 2018, 54(20): 42-47.
[2]	仝云旭1，2，吴保卫1. 连续时间线性脉冲系统的有限时间滤波[J]. 计算机工程与应用, 2014, 50(8): 48-52.
[3]	王友国，罗辑，刘洪伟. 一阶自回归模型中噪声改善信号的相关性[J]. 计算机工程与应用, 2011, 47(14): 137-139.
[4]	朱齐丹,汪瞳. 新的离散时间系统变结构趋近律[J]. 计算机工程与应用, 2009, 45(8): 13-15.
[5]	吴磊磊. 离散时间系统变结构控制分段趋近律[J]. 计算机工程与应用, 2009, 45(27): 243-245.
[6]	李兆强,周德云. 无抖振全程滑态离散变结构控制算法[J]. 计算机工程与应用, 2008, 44(3): 226-227.