基于中间估计器的非线性广义马尔可夫跳变系统的故障估计  

Fault estimation for descriptor Markovian jump systems with multiple faults based on intermediate estimator

作　　者：苏晓明[1] 石豪达 包·阿迪亚 马智慧 SU Xiaoming;SHI Haoda;BAO Adiya;MA Zhihui(School of Science, Shenyang University of Technology, Shenyang 110870, China)

机构地区：[1]沈阳工业大学理学院,辽宁沈阳110870

出　　处：《辽宁师范大学学报（自然科学版）》2021年第3期309-316,共8页Journal of Liaoning Normal University:Natural Science Edition

基　　金：国家自然科学基金资助项目(61074005);辽宁省高等学校优秀人才支持计划项目(LR2012005)。

摘　　要：针对具有全局利普希茨非线性的广义马尔可夫跳变系统,研究了当执行器故障和传感器故障并存时系统的故障估计问题.首先,将原系统的状态向量和传感器故障向量扩展为辅助状态变量,得到增广系统.然后通过引入一个中间变量,提出了一种基于中间变量的估计器设计方法,用于估计原系统的状态、执行器故障以及传感器故障.通过构建输入到状态稳定李雅普诺夫函数,证明了广义误差系统对于故障函数的导函数是输入到状态稳定的,这意味着当故障函数的导函数随着时间收敛于0,误差系统也是渐近收敛的.最后通过一个数值算例验证了方法的有效性.This paper investigates the problem of fault estimation for a class of nonlinear descriptor Markovian jump systems with globally Lipschitzian nonlinearities.Actuator faults and sensor faults are considered.First,by taking the sensor faults as an augmented state,an auxiliary state vector is constructed.Then,based on the proposed intermediate variable,an intermediate estimator is developed to estimate the states,actuator faults and sensor faults simultaneously.By constructing input-to-state stable(ISS)Lyapunov function,it is proved that the states of the descriptor error system are ISS with respect to the derivative of the faults,which means the states of the descriptor error system converge to zero when the derivative of the faults converge to zero as t tends to infinity.Finally,a numerical example is given to verify the effectiveness of the proposed method.

关 键 词：故障估计 中间变量 中间估计器 广义系统 马尔可夫跳变系统 

分 类 号：O231.1[理学—运筹学与控制论]