New H∞ filtering method of LPV repetitive processes

Computer Engineering and Applications ›› 2012, Vol. 48 ›› Issue (12): 213-219.

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New H∞ filtering method of LPV repetitive processes

QI Ji1, LI Yanhui2

1.Communication and Electronic Engineering Institute, Qiqihar University, Qiqihar, Heilongjiang 161006, China
2.School of Electric Information Engineering, Daqing Petroleum Institute, Daqing, Heilongjiang 163318, China

Online:2012-04-21 Published:2012-04-20

LPV重复过程的H∞滤波新方法

齐迹1，李艳辉2

1.齐齐哈尔大学通信与电子工程学院，黑龙江齐齐哈尔 161006
2.大庆石油学院电气信息工程学院，黑龙江大庆 163318

Abstract

Abstract: This paper investigates the problem of H∞ filtering for a class of time-delayed linear parameter varying repetitive processes. Sufficient conditions for the analysis of stability and the existence of the filter are proposed, which are established in terms of the parameter-dependent Lyapunov functions. Using the projection lemma and with the help of two slack matrices, the parameter-dependent Lyapunov functions matrices and the repetitive processes matrices are decoupled so that the problem is solved. A numerical example illustrates the effectiveness of the proposed design scheme.

Key words: Linear Parameter-Varying（LPV） repetitive processes, parameter-dependent Lyapunov functions, Parameter Linear Matrix Inequalities（PLMIs）, H&infin, filtering

摘要： 将时滞线性参数变化（LPV）思想应用于重复过程中，研究了其H∞滤波问题。基于参数依赖Lyapunov函数方法推出了该重复过程的稳定性和滤波器设计的充分条件。通过投影定理引入两个附加矩阵，解除了重复过程矩阵和依赖于参数的Lyapunov函数矩阵之间的耦合，使得到的条件便于求解。仿真实例证实了该设计方法的有效性。

关键词: 线性参数变化重复过程, 参数依赖Lyapunov函数, 参数线性矩阵不等式, H&infin, 滤波

QI Ji1, LI Yanhui2. New H∞ filtering method of LPV repetitive processes[J]. Computer Engineering and Applications, 2012, 48(12): 213-219.

齐迹1，李艳辉2. LPV重复过程的H∞滤波新方法[J]. 计算机工程与应用, 2012, 48(12): 213-219.

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New H∞ filtering method of LPV repetitive processes

LPV重复过程的H∞滤波新方法

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