非线性离散系统执行器故障鲁棒估计方法的研究  

Research on Actuator Fault Robust Estimation Method for Nonlinear Discrete System

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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:《自动化仪表》2021年第11期78-81,共4页Process Automation Instrumentation

基  金:2020年沈阳工学院青年骨干教师科研基金资助项目(QN202009)。

摘  要:随着科技的高速发展,非线性离散控制系统的研究引起了学者的重视。由于非线性离散系统本身的复杂性,针对非线性离散控制系统故障估计方法的研究逐渐引起重视,并取得了一定的研究成果。研究了一类含扰动的非线性离散控制系统的执行器故障估计问题。首先,通过等价变换建立了含系统执行器故障的增广系统,并构建了非线性故障观测器。考虑到系统的非线性部分,利用线性矩阵不等式(LMI)方法给出了观测器误差动态系统渐近稳定的充分条件。其次,考虑到系统扰动,通过引入性能指标来抑制扰动对故障估计的影响。基于LMI方法,得到了含扰动的故障观测器误差动态系统渐近稳定的LMI条件,并求得了LMI的可行解,从而实现了执行器故障的鲁棒估计。最后,以飞机的纵向运动模型为研究对象,通过数值算例验证了所提执行器故障鲁棒估计方法的有效性及可行性。With the rapid development of science and technology,the research of nonlinear discrete control system has attracted the attention of scholars.Due to the complexity of nonlinear discrete control systems,the research on fault estimation methods for nonlinear discrete control systems has gradually attracted attention and obtained some research results.The problem of actuator fault estimation for a class of nonlinear discrete control systems with disturbance is studied.Firstly,an augmented system with actuator faults is established by equivalent transformation and a nonlinear fault observer is constructed.Considering the nonlinear part of the system,sufficient conditions for asymptotic stability of observer error dynamic systems are given by using linear matrix inequality(LMI)method.Secondly,considering the system disturbance,the influence of disturbance on fault estimation is suppressed by introducing performance indexes.Based on the LMI method,the LMI conditions for asymptotic stability of the fault observer error dynamic system with disturbance are obtained,and the feasible LMI solutions are obtained,to achieve robust estimation of actuator faults.Finally,an aircraft longitudinal motion model is taken as the research object,and numerical examples are given to verify the effectiveness and feasibility of the proposed robust fault estimation method.

关 键 词:离散系统 执行器故障 线性矩阵不等式 观测器 增益矩阵 鲁棒估计 渐近稳定 

分 类 号:TH-39[机械工程]

 

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