Fault detection and isolation for discrete-time switched linear systems based on average dwell-time method

This article is concerned with the problem of fault detection and isolation (FDI) for discrete-time switched linear systems based on the average dwell-time method. The proposed FDI framework consists of a bank of FDI filters, which are divided into N groups for N subsystems. The FDI filters belonging to one group correspond to the faults for a subsystem, and generate a residual signal to guarantee the fault sensitivity performance for the subsystem, the fault attenuation performance for other subsystems and the disturbance attenuation performance for all subsystems. Different form employing the weighting matrices to restrict the frequency ranges of faults for each subsystem, the finite-frequency H _? performance for switched systems is first defined. Sufficient conditions are established by linear matrix inequalities (LMIs), and the filter gains are characterised in terms of the solution of a convex optimisation problem. Two examples are used to demonstrate the effectiveness of the proposed design method.     

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.     

多故障鲁棒检测滤波器设计

研究多个执行机构故障的检测和隔离问题,首先提出多故障情况下检测滤波器的一种设计方法,然后针对性系统A,B阵的参数不确定性研究检测滤波器的鲁棒性问题,最后采用某型号飞机方程进行仿真验证。     

基于观测器的LPV系统故障检测方法

针对一类线性参数变化(LPV)连续系统的故障检测问题,通过构造合适的输出观测器,获得残差生成器,并通过优化设计步骤,实现对干扰的有效抑制和对故障的灵敏检测。利用依赖参数的Lyapunov函数,在保证残差生成器稳定性的基础上,给出观测器存在的充分条件。应用投影定理,借助附加矩阵解除了基于参数的Lyapunov函数矩阵与系统矩阵的耦合,得到以线性矩阵不等式(LMI)形式表示的求解条件。对于参数变化系统,基于LMI的求解条件为无穷维问题,借助基函数和参数网格化方法,使其转变为可求解的问题。仿真结果表明,应用该方法可以在一定程度上抑制干扰,并能灵敏有效地实现故障检测。     

基于多目标约束的鲁棒故障检测滤波器设计

针对包含未知输入的线性时不变系统,研究了其鲁棒故障检测滤波器设计问题。由于故障信号往往分布在有限频域段内,设计的目标包括使特定有限频域段上的复合性能指标最小化以及满足区域极点配置的要求。一个基于LMI的方法被提出用于解决该设计问题。该方法的优点在于求解过程中可以获取给定有限频域段上的频域指标的真实值,并可求得满足目标的最优解。因此,设计的故障检测滤波器可以获得良好的故障检测性能。一个基于某国产歼击机的设计实例验证了该方法的有效性。     

Unknown Input Fault Detection and Isolation Observer Design for Neutral Systems

This paper deals with actuator fault diagnosis of neutral delayed systems with multiple time delays using an unknown input observer. The main purpose is to design an observer that guarantees the asymptotic stability of the estimate error dynamics and the actuator fault detection. The existence conditions for such an observer are established. The main problem studied in this paper aims at designing observer‐based fault detection and isolation. The designed observer enhances the robust diagnosis performance, including rapidity and accuracy, and generates residuals that enjoy perfect decoupling properties among faults. Based on Lyapunov stability theory, the design of the observer is formulated in terms of linear matrix inequalities, and the diagnosis scheme is based on a bank of unknown input observers for residual generation that guarantees fault detection and isolation in the presence of external disturbances. A numerical example is presented to illustrate the efficiency of the proposed approach.     

奇异Markov跳跃系统的鲁棒故障检测

研究受L2有界未知输入影响的一类奇异Markov跳跃系统的鲁棒故障检测问题。采用基于观测器的故障检测滤波器（FDF）作为残差产生器,将故障检测滤波器的设计归结为随机意义下的H∞滤波问题。推导并证明了问题可解的充分条件,并通过求解线性矩阵不等式得到了故障检测滤波器参数矩阵的解。算例验证了所给算法的有效性。     

不确定飞行控制系统中断故障检测与分离

研究不确定飞行控制系统执行器中断故障检测与分离问题,同时设计了状态反馈控制器和检测器,在保证闭环控制系统稳定的前提下,通过设计的检测器对系统状态进行重组以产生残差进而检测执行器的中断故障。此外,通过设计一组分离器,可以确定出执行器发生故障的位置。最后,通过研究一个飞行控制系统模型验证了所提出方法的有效性。     

基于观测器的线性系统故障检测方法性能比较研究

已有的故障诊断方法基本是针对开环系统设计的,本文通过仿真实验对输出反馈控制和开环控制下基于观测器的线性系统故障检测方法的性能进行了比较研究。仿真实验与理论分析表明,若线性系统模型精确,闭环控制不影响观测器方法对于加性故障的检测但对乘性故障的检测会产生影响。     

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。     

Robust fault detection filter design for uncertain LTI systems based on new bounded real lemma

This paper concerns the problem of robust fault detection filter design for uncertain linear time-invariant (LTI) systems with both model uncertainty and disturbances. Firstly, the fault detection filter design is formulated to H _∞ model-matching problem. Secondly, based on a new bounded real lemma, a sufficient condition for the existence of the robust fault detection filter is constructed in term of linear matrix inequalities (LMIs). Owing on the introduction of the tuning parameter and slack variables in obtained LMI condition, the proposed design method can provide higher fault detection sensitivity performance than the existing one. Finally, an illustrative example is employed to demonstrate the effectiveness of the proposed approach. Recommended by Editorial Board member Bin Jiang under the direction of Editor Jae Weon Choi. This work was supported by Postdoctoral Fundation of Jiangsu Province under grant 0901026c and Key Laboratory of Education Ministry for Image Processing and Intelligent Control under grant 200805. Tao Li received the Ph.D. degree in the Research Institute of Automation Southeast University, China. Now He is a postdoctoral researcher with the same university. His current research interests include time-delay systems, neural networks, robust control, fault detection and diagnosis. Lingyao Wu received the Ph.D. degree in the Research Institute of Automation Southeast University, China. Now He is an Assistant Professor in the Research Institute of Automation Southeast University. His current research interests include time-delay systems, neural networks, robust control, fault detection and diagnosis. Xinjiang Wei was born in Dongying, China, in 1977. He received the B.S. degrees from Yantai Normal University, China in 1999, M.S. degrees from Bohai University in 2002, and the Ph.D. degree in Department of Information from Northeastern University in 2005. From 2006 to Present, he was with Ludong University as an Associate Professor. From 2006 to 2009, he was a Postdoctoral Fellow at Southeast University. His research interests include robust control, nonlinear control, and fuzzy control.     

Event-triggered simultaneous fault detection and tracking control for multi-agent systems

The main aim of this study is to design distributed simultaneous fault detection and control units for multi-agent systems subject to limited communication and energy resources. For this purpose, each agent is equipped with a single module that generates both the residual signal for the fault detection task, as well as the control input of each agent for the tracking objective. To reduce the communication among the agents, an event-triggered data transmission paradigm is considered by using a dynamic triggering rule which results in higher data transmission reduction in comparison with the static triggering condition. Moreover, the proposed dynamic observer-based structure for the detector-controller module provides more degrees of freedom compared to the static Luenberger observer. The design parameters are obtained by solving a multi-objective optimisation problem considering the fault detection, tracking, and communication objectives. Simulation results illustrate the effectiveness and capabilities of the proposed method.     

A single dynamic observer-based module for design of simultaneous fault detection,isolation and tracking control scheme

The problem of simultaneous fault detection, isolation and tracking (SFDIT) control design for linear systems subject to both bounded energy and bounded peak disturbances is considered in this work. A dynamic observer is proposed and implemented by using the H_∞/H_?/L₁ formulation of the SFDIT problem. A single dynamic observer module is designed that generates the residuals as well as the control signals. The objective of the SFDIT module is to ensure that simultaneously the effects of disturbances and control signals on the residual signals are minimised (in order to accomplish the fault detection goal) subject to the constraint that the transfer matrix from the faults to the residuals is equal to a pre-assigned diagonal transfer matrix (in order to accomplish the fault isolation goal), while the effects of disturbances, reference inputs and faults on the specified control outputs are minimised (in order to accomplish the fault-tolerant and tracking control goals). A set of linear matrix inequality (LMI) feasibility conditions are derived to ensure solvability of the problem. In order to illustrate and demonstrate the effectiveness of our proposed design methodology, the developed and proposed schemes are applied to an autonomous unmanned underwater vehicle (AUV).     

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.     

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H_∞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。