含干扰项的非线性广义系统执行器故障估计  

Actuator Fault Estimation for Nonlinear Generalized Systems with Interference Terms

作　　者：孙延修[1] SUN Yanxiu(Basic Course Department,Shenyang Institute of Technology,Fushun 113122,China)

机构地区：[1]沈阳工学院基础课部,辽宁抚顺113122

出　　处：《火力与指挥控制》2022年第6期93-96,106,共5页Fire Control & Command Control

基　　金：2019年辽宁省教育厅科学研究经费基金(L201906);2020年沈阳工学院青年骨干教师科研基金资助项目(QN202009)。

摘　　要：针对一类含外部干扰的非线性广义系统,基于系统中的执行器故障为突变故障或缓变故障的情况,提出了一种执行器故障估计的方法。通过构造一个增广的广义系统,将原系统中的执行器故障作为增广状态向量的一部分,并利用李雅普诺夫理论设计出一类增广观测器;利用线性矩阵不等式(LMI)方法,结合Schur补引理分两种情形给出了状态估计误差系统渐近收敛的充分条件,并针对增广观测器误差系统的收敛性进行分析;通过数值算例验证了增广观测器对执行器故障估计的有效性,表明所提方法的可行性。For a class of nonlinear generalized systems with external disturbances,a method of actuator fault estimation is proposed based on the case that actuator faults in the system are abrupt faults or slowly variating faults.Firstly,an augmented generalized system is constructed,the actuator faults in the original system are considered as part of the augmented state vector,and a class of augmented observers are designed with Lyapunov theory.Secondly,linear matrix inequality(LMI)method and Schur complement lemma are combined to give,the sufficient conditions for asymptotic convergence of state estimation error systems,and the convergence of the augmented observer error systems is analyzed.Finally,a numerical example is given to verify the effectiveness of the augmented observer for actuator fault estimation,which shows the feasibility of the proposed method.

关 键 词：非线性系统 广义系统 执行器故障估计 线性矩阵不等式 增广观测器 

分 类 号：TP391.9[自动化与计算机技术—计算机应用技术]