ROBUST H_∞ FAULT DETECTION FOR UNCERTAIN LDTV SYSTEMS USING KREIN SPACE APPROACH

Maiying Zhong; Shusheng Li; Yan Zhao

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ROBUST H_∞ FAULT DETECTION FOR UNCERTAIN LDTV SYSTEMS USING KREIN SPACE APPROACH

机译：角蛋白空间法用于不确定LDTV系统的鲁棒H_∞故障检测

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摘要

This paper deals with the problem of robust H_∞ fault detection for a class of linear discrete time-varying systems with norm bounded model uncertainty. A generalized unknown input is introduced to represent the model uncertainty and, based on this, an observer-based fault detection filter (FDF) with accommodation of unknown input and fault is proposed. Then the problem of robust fault detection is formulated in a framework of finite horizon H_∞ filtering and the design of robust H_∞-FDF is converted into a minimum problem of indefinite quadratic form. A sufficient and necessary condition for the minimum is derived by using a Krein space approach and a solution to the H_∞-FDF is obtained by computation of Riccati recursions. A numerical example is given to illustrate the effectiveness of the proposed method.

机译：本文针对一类具有范数有界模型不确定性的线性离散时变系统的鲁棒H_∞故障检测问题。引入了一个广义的未知输入来表示模型的不确定性，并在此基础上，提出了一种基于观测器的故障检测滤波器（FDF），它可以容纳未知的输入和故障。然后在有限水平H_∞滤波的框架内提出了鲁棒故障检测问题，并将鲁棒H_∞-FDF的设计转换为不定二次型的最小问题。通过使用Kerin空间方法得出最小值的充分必要条件，并通过计算Riccati递归获得H_∞-FDF的解。数值例子说明了该方法的有效性。

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来源
《International Journal of Innovative Computing Information and Control》 |2013年第4期|1637-1649|共13页
作者
Maiying Zhong; Shusheng Li; Yan Zhao;
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作者单位

Science and Technology on Inertial Laboratory Beihang University No. 37, Xueyuan Road, Haidian District, Beijing 100191, P. R. China;

Science and Technology on Inertial Laboratory Beihang University No. 37, Xueyuan Road, Haidian District, Beijing 100191, P. R. China;

Science and Technology on Inertial Laboratory Beihang University No. 37, Xueyuan Road, Haidian District, Beijing 100191, P. R. China;

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正文语种 eng
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关键词
Linear discrete time-varying system; Model uncertainty; H_∞ fault detection; Krein space; Riccati recursion;

机译：线性离散时变系统;模型不确定性;H_∞故障检测;Kerin空间;Riccati递归;

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2. Krein Space Approach to Robust H_∞ Filtering for GNSS/SINS Integrated Navigation System with Missing Measurements [J] . Yanting Che, Qiuying Wang, Wei Gao, Journal of computational and theoretical nanoscience . 2015,第12期

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3. Krein-space approach to robust filtering for uncertain systems with time-varying bias [J] . Heming JIA, Wenlong SONG, Jin FENG 控制理论与应用（英文版） . 2013,第004期

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4. Finite-Horizon Distributed H_∞ Fault Estimation for Time-Varying Systems in Sensor Networks: A Krein-Space Approach [C] . Bo Shen, Zidong Wang, Hongli Dong, IFAC Symposium on Fault Detection, Supervision and Safety for Technical Processes . 2016

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ROBUST H_∞ FAULT DETECTION FOR UNCERTAIN LDTV SYSTEMS USING KREIN SPACE APPROACH

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