计算机工程与应用 ›› 2014, Vol. 50 ›› Issue (8): 48-52.

• 理论研究、研发设计 • 上一篇    下一篇

连续时间线性脉冲系统的有限时间滤波

仝云旭1,2,吴保卫1   

  1. 1.陕西师范大学 数学与信息科学学院,西安 710119
    2.商洛学院 数学与计算科学系,陕西 商洛 726000
  • 出版日期:2014-04-15 发布日期:2014-05-30

Finite-time filtering for continue-time linear impulsive systems

TONG Yunxu1,2, WU Baowei1   

  1. 1.College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China
    2.Department of Mathematics and Computational Science, Shangluo College, Shangluo, Shaanxi 726000, China
  • Online:2014-04-15 Published:2014-05-30

摘要: 研究了连续时间线性脉冲系统的有限时间滤波问题。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,并且给出了滤波器的设计方法。另一方面为了避免设计方法中出现的耦合问题,给出了另外两个结论。最后通过数值算例表明了结论的可行性和有效性。

关键词: 有限时间滤波, 有限时间稳定, 脉冲系统, 线性系统

Abstract: The finite-time filtering problem for continue-time linear impulsive system is investigated in this paper. On one hand, the sufficient condition for the filter error system, which is finite-time stable and meets the performance requirements, and a designing method for filter are given. On the other hand, in order to avoid coupling in the designing method for filter, another two conclusions are provided. Finally, a numerical example is given to demonstrate the feasibility and effectiveness of the conclusion.

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