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The Finite-time State Estimation and Fault Reconstruction for Uncertain Linear Systems
CHEN Yantao , XIE Donglei, XIE Beibei, YANG Junqi
School of Electrical Engineering and Automation, Henan Polytechnic University, Jiaozuo 454000, China
Abstract:To address a class of uncertain linear systems with external disturbances and actuator faults, we propose a method for estimating the finite-time state and reconstructing the actuator faults. First, by state and output equivalent transformations, we obtain a reduced-order decoupled system that can eliminate the influence of both actuator faults and disturbance information from the modeling uncertainty. Based on the above transformations, we present the finite-time estimator in which we employ a delay that can be set to be small enough for the purpose of estimating the states of reduced-order system in finite-time such that the purpose of finite-time state estimation can be realized for the original system. Second, we consider a high-gain sliding mode differentiator to exactly estimate the derivative of the output vector of the original system in finite time. Next, based on the estimates of both the state and output derivative of the original system, we propose an information reconstruction method that can simultaneously estimate actuator faults and uncertain information. Finally, we provide F-16 aircraft model subjects to actuator faults and validate the effectiveness of the proposed method.
state estimation     fault reconstruction     actuator fault     equivalent transformation

﻿ 1 引言

2 系统描述

3 有限时间状态估计

4 执行器故障重构

5 仿真

 图 1 τ=0.5时的x2估计误差曲线 Fig. 1 Error curves of x2 when τ=0.5 图选项

 图 2 τ=0.1时的x2估计误差曲线 Fig. 2 Error curves of x2 when τ=0.1 图选项

 图 3 状态x1~x3估计误差曲线 Fig. 3 Error curves of x1~x3 图选项

 图 4 状态x4~x6估计误差曲线 Fig. 4 Error curves of x4~x6 图选项

 图 5 执行器故障f的重构曲线 Fig. 5 Reconstructed curves of f 图选项

 图 6 未知输入η的重构曲线 Fig. 6 Reconstructed curves of η 图选项
6 结论

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"http://dx.doi.org/10.13976/j.cnki.xk.2016.0129"

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#### 文章信息

CHEN Yantao, XIE Donglei, XIE Beibei, YANG Junqi

The Finite-time State Estimation and Fault Reconstruction for Uncertain Linear Systems

INFORMATION AND CONTROL, 2016, 45(2): 129-134.
http://dx.doi.org/10.13976/j.cnki.xk.2016.0129