存在多路数据丢失的线性离散时变系统故障检测滤波器设计

本文研究一类存在多路测量数据丢失的线性离散时变系统故障检测滤波器设计问题,系统的数据丢失现象由一族在给定区间范围内取值的相互无关的随机变量描述.采用基于观测器的鲁棒Hx故障检测滤波器作为残差产生器,通过引入新的随机变量,将故障检测滤波器的设计问题转化为一类具有乘性噪声影响的随机时变系统有限时间域内的Hx滤波问题运用Ly...     

测量丢失概率不确定的网络化系统的鲁棒故障检测

研究一类具有测量数据丢失概率不确定的网络化系统的鲁棒故障检测问题,系统用概率属于一个区间的Bernoulli随机二进制切换序列来描述测量数据丢失.设计一个基于观测器的鲁棒故障检测滤波器(RFDF),对于区间内的每一个概率,RFDF残差误差输出对故障敏感且对具有L2有界的未知干扰输入有一定的鲁棒性,应用线性矩阵不等式方法,给出并证明了此RFDF的存在条件.最后通过例子说明了该方法的有效性.     

测量丢失概率不确定的网络化系统的鲁棒故障检测

研究一类具有测量数据丢失概率不确定的网络化系统的鲁棒故障检测问题,系统用概率属于一个区间的Bernoulli随机二进制切换序列来描述测量数据丢失.设计一个基于观测器的鲁棒故障检测滤波器(RFDF),对于区间内的每一个概率,RFDF残差误差输出对故障敏感且对具有L2有界的未知干扰输入有一定的鲁棒性,应用线性矩阵不等式方法,给出并证明了此RFDF的存在条件.最后通过例子说明了该方法的有效性.

     

部分测量数据丢失的网络化系统的l2-l∞滤波

在网络系统中,滤波器得到的观测量通过有限带宽的通道进行传送可能发生丢失.本文研究一类具有测量数据部分丢失的网络化系统的l2-l∞滤波器设计问题.测量数据的丢失采用已知概率分布的二进制切换序列来描述.利用线性矩阵不等式方法,设计全阶和降阶滤波器.所设计的滤波器使得滤波误差系统均方指数稳定,而且保证相对于所有有界的外界扰动信号,滤波误差系统具有一定的l2-l∞扰动衰减水平.数字仿真表明设计方法的有效性.     

部分测量数据丢失的网络化系统的l-l滤波

在网络系统中,滤波器得到的观测量通过有限带宽的通道进行传送可能发生丢失.本文研究一类具有测量数据部分丢失的网络化系统的l2-l∞滤波器设计问题.测量数据的丢失采用已知概率分布的二进制切换序列来描述.利用线性矩阵不等式方法,设计全阶和降阶滤波器.所设计的滤波器使得滤波误差系统均方指数稳定,而且保证相对于所有有界的外界扰动信号,滤波误差系统具有一定的l2-l∞扰动衰减水平.数字仿真表明设计方法的有效性.     

存在多步测量数据包丢失的线性离散时变系统鲁棒H∞故障检测滤波器设计

研究了一类存在多步测量数据包丢失的线性离散时变系统故障检测滤波器(Fault detection filter, FDF)设计问题. 采用基于观测器的鲁棒H∞故障检测滤波器作为残差产生器,将故障检测滤波器的设计问题转化为一类随机时变系统的H∞滤波问题, 基于Riccati方程推导并证明了其存在的充分必要条件. 将滤波器参数矩阵求取转化为二次型优化问题, 通过求解Riccati方程, 得到滤波器参数矩阵的显式解. 算例验证了所提算法的有效性.     

基于混杂系统方法的一类采样数据系统鲁棒故障检测

针对具有连续时间过程噪声和离散时间测量噪声的采样数据系统, 提出了一种新的鲁棒故障检测直接设计方法. 首先利用具有有限跳变的线性系统作为残差产生器, 采样数据系统的鲁棒故障检测设计问题被描述成采样数据滤波问题, 然后给出有限跳变线性系统有界实引理的线性矩阵不等式(LMI)表达形式, 基于此, 推导出采样数据系统鲁棒故障检测滤波器的存在条件及设计参数, 并将所提方法推广到具有结构不确定性的采样数据系统上. 所设计的滤波器能够保证残差与故障之间误差最小, 并对过程噪声、测量噪声、结构不确定性等因素鲁棒. 最后, 通过数值仿真对所提方法的可行性进行了验证.     

存在多个数据包丢失的网络化系统的故障检测

研究一类存在多个数据包丢失的网络化不确定系统的鲁棒故障检测问题。不确定对象为凸多面体离散时间模型。多个数据丢失现象由具有一般概率密度的随机变量描述。利用随机系统的Lyapunov稳定性理论和参数依赖方法给出了使残差信号与加权故障信号之间的误差尽可能小的鲁棒故障检测滤波器的存在性条件。借助于线性矩阵不等式组的可行解得到了故障检测滤波器增益。仿真例子表明了所给方法的有效性。     

带有随机测量数据丢失及切换拓扑的传感器网络分布式$l_2-l_infty$滤波器设计

研究一类具有测量数据随机丢失以及网络拓扑结构随机切换的分布式$l_2-l_\infty$滤波器设计问题.在分布式滤波器网络,每个本地滤波器估计系统的状态不仅基于节点自身信息,而且利用网络拓扑中邻居节点的信息.首先,采用已知概率分布的二进制序列描述传感器测量数据的随机丢失,Markov链描述滤波器网络拓扑结构的切换;其次,构造一个Lyapunov函数来分析滤波误差系统的$l_2-l_\infty$性能,并研究其均方指数稳定性;再次,通过线性矩阵不等式(LMI)技术,给出分布式$l_2-l_\infty$滤波器的设计方法;最后, 通过数值例子验证所提方法的有效性.     

具有一步随机时滞和多丢包的网络系统H∞滤波器设计

在网络系统中由于连接传感器和滤波器的网络带宽有限,系统测量数据在传输中会出现随机时延甚至丢失. 本文讨论了具有一步随机时延和丢包的网络系统的H∞滤波器设计问题.基于新近提出的同时描述随机时延和丢包的模型,利用线性矩阵不等式方法设计线性滤波器,使得滤波误差系统均方指数稳定,并具有给定的H∞性能. 滤波器参数通过求解一个线性矩阵不等式得到.仿真研究说明了所提出算法的有效性.     

Design and analysis of robust fault detection filter using LMI tools

In this paper, the robust fault detection filter design problem for linear time invariant (LTI) systems with unknown inputs and modeling uncertainties is studied. The basic idea of our study is to formulate the robust fault detection filter design as a H_∞ model-matching problem. A solution of the optimal problem is then presented via a linear matrix inequality (LMI) formulation. The main results include the formulation of robust fault detection filter design problems, the derivation of a sufficient condition for the existence of a robust fault detection filter and construction of a robust fault detection filter based on the iterative of LMI algorithm.     

不确定奇异时滞系统的鲁棒H∞故障诊断滤波器设计

研究一类受参数不确定性和干扰影响的奇异时滞系统鲁棒故障诊断滤波器设计问题. 把基于观测器的故障诊断滤波器作为残差产生器, 将故障诊断滤波器设计归结为H∞滤波问题, 使产生的残差信号即为故障的H∞估计, 给出了鲁棒H∞故障诊断滤波器存在的充分条件, 并利用锥面互补线性化迭代算法得到了故障诊断滤波器设计的线性矩阵不等式求解方法. 算例验证了算法的有效性.     

Robust Fault Detection for Discrete‐Time Nonlinear Impulsive Switched Systems

This paper deals with the problem of robust fault detection for discrete‐time nonlinear impulsive switched systems. The fault detection filter is used as the residual generator, in which the filter parameters are dependant on the system mode. Attention is focused on designing the robust fault detection filter. The problem of robust fault detection is converted into an H_∞‐filtering problem. A sufficient condition for the solvability of this problem is established by a convex optimization problem. A numerical example is provided to demonstrate the effectiveness of the proposed method.     

Application of a fault detection filter to structural health monitoring

A model-based fault detection filter is developed for structural health monitoring of a simply supported beam. The structural damage represented in the plant model is shown to decompose into a known fault direction vector maintaining a fixed direction, dependent on the damage location, and an arbitrary fault magnitude representing the extent of the damage. According to detection filter theory, if damage occurs, under certain circumstances the fault will be uniquely detected and identified through an associated invariance in the direction imposed on the fault detection filter residuals. The spectral algorithm used to design the detection filter is based on a left eigenstructure assignment approach which accommodates system sensitivities that are revealed as ill-conditioned matrices formed from the eigenvectors in the construction of the detection filter gains. The detection filter is applied to data from an aluminum simply supported beam with four piezoelectric sensors and one piezoelectric actuator. By exciting the structure at the first natural frequency, damage in the form of a 5 mm saw cut made to one side of the beam is detected and localized.     

一种多故障检测滤波器设计的新方法

提出了一种适用于多种故障类型的检测滤波器设计方法。基于故障输出空间进行故障检测,避免了必须采用多个检测滤波器对不同的故障进行检测,从而使故障检测的实时性得到改善。仿真结果表明,文中提出的检测滤波器性能良好,满足工作要求。     

Fault detection for discrete-time switched systems with interval time-varying delays

This paper investigates the problem of fault detection filter design for discrete-time switched systems with interval time-varying delays. The residual generator is constructed based on a mode-dependent fault detection filter, i.e., the designed fault detection filter is also a switched system as well. By constructing a novel switched Lyapunov functional, a new criterion is obtained for the residual system. Based on this, a sufficient condition for the existence of the above filter is established in terms of linear matrix inequalities (LMIs). The designed fault detection filter can guarantee the difference between the generated residual signal and the fault signal as small as possible. An example is provided to illustrate the effectiveness of the proposed method.     

Robust fault detection for discrete-time Markovian jump systems with mode-dependent time-delays

This paper investigates a fault detection problem for a class of discrete-time Markovian jump systems with norm-bounded uncertainties and mode-dependent time-delays. Attention is focused on constructing the residual generator based on the filter which its parameters matrices are dependent on the system mode, that is, the fault detection filter is a Markovian jump system as well. The design of fault detection filter is reduced to H-infinity filtering problem by using H-infinity control theory, which can guarantee the difference between the residual and the fault (or, more generally weighted fault) as small as possible in the context of enhancing the robustness of residual to modeling errors, control inputs and unknown inputs. Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities, which can be readily {solved by using standard numerical software. A numerical example is given to illustrate the feasibility of the proposed method.     

Robust fault detection for discrete-time Markovian jump systems with mode-dependent time-delays

This paper investigates a fault detection problem for a class of discrete-time Markovian jump systems with norm-bounded uncertainties and mode-dependent time-delays. Attention is focused on constructing the residual generator based on the filter of which its parameters matrices are dependent on the system mode, that is, the fault detection filter is a Markovian jump system as well. The design of fault detection filter is reduced to H-infinity filtering problem by using H-infinity control theory, which can guarantee the difference between the residual and the fault (or, more generally weighted fault) as small as possible in the context of enhancing the robustness of residual to modeling errors, control inputs and unknown inputs. Sufficient condition for the existence of the above filters is established by means of linear matrix inequalities, which can be readily solved by using standard numerical software. A numerical example is given to illustrate the feasibility of the proposed method.     

双通道自适应Lattice滤波器及其在故障检测中的应用

推导出一种双通道自适应Ｌａｔｔｉｃｅ滤波器算法，并将它用于动态系统的故障检测。这种故障检测方案不需要建立准确的数学模型，只要根据系统的输入输出数据，利用Ｌａｔｔｉｃｅ滤波器算法生成故障残差序列，再对故障残差序列进行统计检验，可实现动态系统的故障检测。该方法用于一个仿真的直流伺服系统的故障检测，实验效果是满意的。     

广义马尔科夫跳变系统的事件触发异步故障检测滤波

针对一类具有事件触发机制的离散时间广义马尔科夫跳变系统,解决了异步故障检测滤波问题。 提出了一种事件触发策略,实现了合理利用网络资源,降低通信负担的目的;考虑了系统模态和滤波器模态之间存在的异步现象,使用两种不同的马尔科夫链来分别表示系统模态和滤波器模态,并在此基础上提出了一种异步故障检测滤波器的设计方法。 通过将异步故障检测滤波器的设计问题与事件触发机制相结合,根据Lyapunov稳定性理论,给出了保证残差误差系统具有正则性、因果性和随机稳定的并且满足 性能的充分条件,通过求解一组特定的线性矩阵不等式,得到了期望的异步故障检测滤波器参数。 最后,通过一个仿真例子说明了所设计的异步故障检测滤波器的设计方法是有效的。