具有多测量数据包丢失的线性离散时变系统故障检测滤波器设计

研究存在多数据包丢失现象的线性离散时变系统有限时间域内故障检测滤波器(Fault detection filter, FDF)设计问题. 在数据包具有时间戳标记的条件下, 设计基于观测器的FDF作为残差产生器, 构造两类FDF. 其一为H-/H∞-FDF或H∞/H∞-FDF. 定义故障到残差和未知输入到残差的广义传递函数算子, 将此类FDF设计问题转换为随机意义下H-/H∞ 或H∞/H∞性能指标优化问题. 其二为H∞-FDF, 将此类FDF设计问题转化为随机意义下的H∞滤波问题. 采用基于伴随算子的H∞优化方法, 通过求解递推Riccati方程, 得到上述两类FDF设计问题的解析解. 通过算例验证所提方法的有效性.     

具有多通道数据传输的飞行器网络控制系统故障检测

研究具有多通道数据传输的飞行器网络控制系统故障检测滤波器(FDF)设计问题.考虑每个通道存在各自的网络时延,且丢包符合Markov随机过程.首先,将系统建模为转移概率部分已知的离散Markov跳变线性系统,并设计了基于观测器的故障检测滤波器,将故障检测问题转化为H∞滤波问题;然后,利用LMI工具给出了FDF的可解条件和求解方法;最后,通过某飞行器网络控制系统的数值仿真实验验证了所提出方法的有效性.     

故障诊断系统的H2优化设计

研究了一类受随机扰动影响的线性时不变系统的故障诊断滤波器(Faultt diagnosis filter,简称FDF)设计问题.分别应用从扰动、故障到残差的传递函数的H2范数作为残差系统对扰动的鲁棒性和对故障信号的灵敏度度量指标,以最小化基于鲁棒性/灵敏度的性能指标函数为目标,将FDF设计问题归结为H2优化问题,推导并证明了问题可解的充分条件,给出了一种FDF设计的迭代线性矩阵不等式(Iterative Linear Matrix Inequality,ILMI)算法,并进一步讨论了残差的评价问题.算例验证了该算法的有效性.     

故障诊断系统的H_2优化设计

研究了一类受随机扰动影响的线性时不变系统的故障诊断滤波器(Faultdiagnosisfilter,简称FDF)设计问题。分别应用从扰动、故障到残差的传递函数的H2范数作为残差系统对扰动的鲁棒性和对故障信号的灵敏度度量指标,以最小化基于鲁棒性/灵敏度的性能指标函数为目标,将FDF设计问题归结为H2优化问题。推导并证明了问题可解的充分条件,给出了一种FDF设计的迭代线性矩阵不等式(IterativeLinearMatrixInequality,ILMI)算法,并进一步讨论了残差的评价问题。算例验证了该算法的有放性。     

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.     

不确定Delta算子系统的鲁棒H∞重构控制

讨论一类含有参数不确定和执行器故障的Delta算子系统鲁棒H_∞ 重构控制设计问题. 通过利用故障检测与隔离(FDI)技术, 在考虑不可检测故障执行器输入为能量有界的干扰信号情形下, 基于H_∞ 干扰抑制的思想, 给出了系统可鲁棒H_∞ 镇定的充分条件. 所设计的控制器可使闭环系统鲁棒稳定, 而且对可允许的不确定性和执行器故障具有一定的H_∞ 性能. 数值例子说明了本文设计方法的有效性.     

基于网络的离散切换时滞系统故障检测和控制器协同设计

针对带有时变时滞和数据包丢失的离散网络切换控制系统,提出在任意切换信号下的闭环故障检测和控制器协同设计策略;基于平均驻留时间和李雅普诺夫(LKF)方法,给出并证明离散切换时滞动态系统指数均方稳定且具有满意的H_∞性能指标的充分条件;将离散网络切换时滞系统的控制器和故障检测滤波器的参数求解转化为可行的凸优化问题,确保残差和故障估计误差尽可能小.仿真实验结果验证了所提出方法的有效性.     

基于H_/H∞未知输入观测器的线性切换系统故障检测

利用H_/H_∞未知输入观测器方法研究线性切换系统的故障检测问题.将未知输入干扰分解为可解耦和不可解耦两部分,从估计误差中消除可解耦部分,再使用加权H_/H_∞混合性能指标表示剩余未知输入和故障对残差的影响,将故障检测问题等价为加权H_/H_∞未知输入观测器设计问题.根据平均驻留时间技术和多Lyapunov函数方法设计了故障检测器参数,并利用松弛矩阵方法得到了进一步的结果.通过一个仿真例子对所提出方法进行了验证.     

一种基于LMI的鲁棒故障诊断滤波器设计

研究了一类含有扰动的线性系统鲁棒故障诊断滤波器设计问题. 文中引入一种能同时体现残差对扰动信号鲁棒性和对故障信号灵敏性的性能指标, 利用H_∞理论把求解滤波器的问题转化为H_∞优化设计问题. 应用线性矩阵不等式(LMI)技术, 对此性能指标进行优化, 给出并证明了该设计问题解的存在性条件和滤波器增益阵的求解方法, 最后, 通过仿真实例验证了方法的有效性.     

一类基于非线性状态观测器的鲁棒故障检测

本文提出了一种新的基于非线性状态 观测器的鲁棒故障诊断策略．该方法在传统故障检测滤波器（FDF）的基础上,针对一类满 足Lipshitz条件的仿射非线性系统,构造了非线性故障检测滤波器,给出了故障检测增益阵 的设计算法及其闭环观测误差系统稳定性的证明,解决了非线性系统的故障可检测性问题． 在残差决策阶段,采用模糊自适应门限的判决方法,提高了故障检测的鲁棒性．最后,针对 歼击机结构故障的仿真,验证了本文方法的有效性．     

线性离散马尔科夫跳跃系统最优故障检测

本文研究线性离散马尔科夫跳跃系统的最优故障检测问题。通过设计基于观测器的故障检测滤波器作为残差产生器,将滤波器的设计问题归结为随机意义下H_/H或H/H性能指标优化问题。基于算子优化方法,通过解耦合Riccati方程得到上述问题的统一解。算例验证所提方法的有效性。     

Optimal fault detection for linear discrete time-varying systems

This paper deals with the problem of observer-based fault detection for linear discrete time-varying (LDTV) systems. A problem formulation is first proposed to address the optimization of the fault detection filter (FDF) design, which is expressed in terms of maximizing a finite horizon H_∞/H_∞ or H₋/H_∞ performance index. This formulation can be applied to FDF design of LDTV systems subject to l₂-norm bounded unknown inputs or stochastic noise sequences. It is shown that a unified optimal solution to the FDF can be obtained by solving the discrete time Riccati equation and the optimal FDF is not unique. A numerical example is given to illustrate the proposed method.     

Fault detection filter design for stochastic time-delay systems with sensor faults

This article considers the fault detection (FD) problem for a class of Itô-type stochastic time-delay systems subject to external disturbances and sensor faults. The main objective is to design a fault detection filter (FDF) such that it has prescribed levels of disturbance attenuation and fault sensitivity. Sufficient conditions for guaranteeing these levels are formulated in terms of linear matrix inequalities (LMIs), and the corresponding fault detection filter design is cast into a convex optimisation problem which can be efficiently handled by using standard numerical algorithms. In order to reduce the conservatism of filter design with mixed objectives, multi-Lyapunov functions approach is used via Projection Lemma. In addition, it is shown that our results not only include some previous conditions characterising H _∞ performance and H _? performance defined for linear time-invariant (LTI) systems as special cases but also improve these conditions. Finally, two examples are employed to illustrate the effectiveness of the proposed design scheme.     

Fault detection for a class of networked nonlinear systems subject to imperfect measurements

This paper addresses the problem of fault detection (FD) for discrete-time networked systems with global Lipschitz conditions and imperfect measurements. By using Bernoulli stochastic variables and a switching signal, a unified model is proposed to describe four kinds of imperfect measurements, that is, access constraints, time delays, packet dropouts, and signal quantization. We aim to design a fault detection filter (FDF) such that, for all external disturbances and imperfect measurements, the error between the residual and fault is made as small as possible. The addressed FD problem is then converted into an auxiliary H _∞ filtering problem for discrete-time stochastic switched systems with multiple time-varying delays. By applying Lyapunov-Krasovskii approach, a sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the results obtained.     

Fault detection for discrete-time networked nonlinear systems with incomplete measurements

This article addresses the problem of fault detection (FD) for discrete-time networked systems with global Lipschitz nonlinearities and incomplete measurements, including time delays, packet dropouts and signal quantisation. By utilising a discrete-time homogeneous Markov chain, an improved model which considers packet dropout compensation has been proposed to describe the above network-induced phenomena. We aim to design a mode-dependent fault detection filter (FDF) such that the FD system is asymptotically mean-square stable and satisfies a prescribed attenuation level. The addressed FD problem is then converted into an auxiliary H _∞ filtering problem of Markov jump system with time-varying delay. A sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMIs). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterised. A numerical example is exploited to show the effectiveness of the results obtained.     

Fault detection for a class of discrete‐time nonlinear systems subject to network‐induced uncertainties

This paper addresses the problem of fault detection (FD) for discrete‐time systems with global Lipschitz conditions and network‐induced uncertainties. By utilizing Bernoulli stochastic variables and a switching signal, a unified measurement model is proposed to describe three kinds of network‐induced uncertainties, that is, access constraints, time delays, and packet dropouts. We aim to design a mode‐dependent fault detection filter (FDF) such that, for all external disturbances and the above uncertainties, the error between the residual and fault is made as small as possible. The addressed FD problem is then converted into an auxiliary H_∞ filtering problem for discrete‐time stochastic system with multiple time‐varying delays. By applying the Lyapunov‐Krasovskii approach, a sufficient condition for the existence of the FDF is derived in terms of certain linear matrix inequalities (LMI). When these LMIs are feasible, the explicit expression of the desired FDF can also be characterized. A numerical example is exploited to show the effectiveness of the results obtained. Copyright © 2011 John Wiley and Sons Asia Pte Ltd and Chinese Automatic Control Society     

一种鲁棒故障检测与反馈控制的最优集成设计方法

研究线性不确定系统的反馈控制器与鲁棒故障检测滤波器集成设计问题.基于新提出 的性能指标函数,将鲁棒故障检测滤波器设计问题归结为最优化问题,通过求解Riccati方程可 得到鲁棒故障检测滤波器设计问题的最优解.在共用同一状态观测器的情况下,将反馈控制器 和鲁棒故障检测滤波器的集成设计问题归结为两目标优化问题,解决了同时满足闭环控制系统 设计要求和故障诊断系统鲁棒性能的最优集成设计问题.简例验证了提出算法的有效性.