基于状态集员估计的主动故障检测  

Active Fault Detection Based on State Set-membership Estimation

作　　者：王晶[1] 史雨茹 周萌 WANG Jing;SHI Yu-Ru;ZHOU Meng(School of Electrical and Control Engineering,North China University of Technology,Beijing 100043;College of Infor-mation Science and Technology,Beijing University of Chemical Technology,Beijing 100029)

机构地区：[1]北方工业大学电气与控制工程学院,北京100043 [2]北京化工大学信息科学与技术学院,北京100029

出　　处：《自动化学报》2021年第5期1087-1097,共11页Acta Automatica Sinica

基　　金：国家自然科学基金(61573050,51805021);东北大学流程工业综合自动化国家重点实验室资助开放项目(PAL-N201702);中央高校基本科研专项基金(XK1802-4);中国博士后科学基金(2018M631311)资助。

摘　　要：对于现代复杂控制系统,微小故障往往很难发现.在系统过程干扰和测量噪声未知但有界的前提下,提出了一种新的基于状态集员估计的主动故障检测方法.首先设计全对称多胞形卡尔曼滤波器对系统状态进行估计,并利用全对称多胞形对受未知干扰影响的状态集合进行描述,然后设计辅助输入信号使得加入辅助输入信号后正常模型的状态集合与故障模型的状态集合交集为空,从而实现主动故障检测.为了使得所设计的辅助输入信号对原系统影响最小,需要求得最小的辅助输入信号,本文将最优化问题转化为混合整数二次规划问题进行求解.最后,与基于输出集合的辅助输入信号设计方法对比,仿真验证本文所提出的基于状态集合的主动故障检测方法由于未受下一时刻测量噪声的影响,所求得的辅助输入信号更小,保守性更低.For modern complex systems,incipient faults is usually difficult to be detected.Under the assumption that system process disturbance and measurement noise are unknown but bounded,this paper proposes a novel active fault detection method based on state set-membership estimation.First,a zonotopic Kalman filter is designed to estimation systems states,and the state sets affected by the unknown inputs are described by zonotopes.Then,an auxiliary input signal is designed such that the state sets of the normal model are separated from the ones of faulty models,as a result,incipient faults are detected successfully.In order to decrease the effect of the auxiliary input to the practical systems,the minimum auxiliary input signal is required.In this paper,the optimization problem is transformed into a mixed integer quadratic programming problem.Compared with the output sets based auxiliary input signal design method,the proposed technique can achieve a smaller auxiliary input signal because of states set are not affect by the measurement noise at the next time instant,and it has less conservatism.

关 键 词：主动故障检测 状态集员估计 辅助输入信号 全对称多胞形 微小故障 

分 类 号：TP277[自动化与计算机技术—检测技术与自动化装置]