不确定线性系统有限时间状态估计与故障重构  

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

作　　者：陈滟涛[1] 谢东垒[1] 谢贝贝[1] 杨俊起[1] 

机构地区：[1]河南理工大学电气工程与自动化学院,河南焦作454000

出　　处：《信息与控制》2016年第2期129-134,共6页Information and Control

基　　金：国家自然科学基金资助项目(61403129);河南省高等学校青年骨干教师资助项目(2015GGJS-064);河南理工大学博士基金资助项目(B2015-30);河南省高等学校控制工程重点学科开放实验室资助项目(KG2014-08)

摘　　要：针对具有外部干扰和执行器故障的不确定线性系统,给出了一种有限时间内估计系统状态及重构执行器故障的方法.首先,通过状态和输出等价变换,得到不受执行器故障和建模不确定信息干扰的降维解耦系统.在此基础上设计有限时间状态估计器,并设置任意小的时延参数,实现对降维系统状态的有限时间估计,从而达到对原系统状态有限时间估计的目的;其次,考虑高增益滑模微分器对系统输出微分进行有限时间估计;之后,在原系统状态和系统输出微分有限时间估计的基础上,提出一种对系统不确定信息和执行器故障同时估计的方法;最后,通过对具有执行器故障的F-16飞行器纵向系统模型进行仿真,验证所提方法的有效性.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 finitetime 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.

关 键 词：状态估计 故障重构 执行器故障 等价变换 

分 类 号：TP393[自动化与计算机技术—计算机应用技术]