基于观测器的切换系统故障检测方法研究
发布时间：2019-02-23 17:54
【摘要】：随着系统和装备复杂程度日益提高,单一的连续动态模型或离散事件模型已不能够准确描述和分析系统的动态过程,为此,混杂系统理论得以产生并迅速发展。切换系统是混杂系统的一种典型模型,包括若干切换子系统和一个切换信号。目前切换系统的研究大多集中于切换系统稳定分析方面,关于切换系统的故障检测问题研究成果相对较少,为此,本文将对这一方向进行深入的研究。本文主要研究内容如下:针对未知输入干扰可完全解耦的切换系统故障检测问题,研究了基于未知输入观测器的故障检测方法。首先,针对线性切换系统,建立了基于未知输入观测器的故障检测器,并使用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;其次,将该方法进一步推广到未知输入干扰可完全解耦的非线性切换系统,并应用平均驻留时间约束、多Lyapunov函数方法和Lipschitz条件得到了故障检测器参数。研究了基于H_/H∞故障检测观测器的切换系统故障检测方法。首先对于未知输入干扰不可解耦的线性确定切换系统,建立了基于状态观测器的H_/H∞故障检测器,并将其设计问题等价为加权H_/H∞混合性能指标下的误差系统多目标求解问题,又通过引入松弛矩阵的方法降低了H_/H∞多目标求解结果的保守性;其次,将该方法推广到线性不确定切换系统的故障检测问题中,并进行了相应的H_/H∞故障检测器设计。研究了基于H_/H∞未知输入观测器的切换系统故障检测方法。针对未知输入干扰可部分解耦的线性切换系统,提出并设计了一种基于H_/H∞未知输入观测器的故障检测器。该方法实现了对部分未知输入干扰的解耦,进而降低了未知输入干扰对于残差的影响,因此能够提高故障检测的性能。研究了基于H_/H∞异步故障检测观测器的切换系统故障检测方法。针对控制输入ku)(?0的线性切换系统,当切换子系统与故障检测器之间存在异步切换段时,提出了一种基于状态观测器的H_/H∞异步故障检测器,并通过求解加权H_/H∞混合性能指标下的增广误差系统多目标问题,设计了H_/H∞异步故障检测器的参数。针对带有区间时变时滞的线性切换系统故障检测问题,研究了基于时滞依赖H_/H∞故障检测观测器的故障检测方法。首先提出了基于状态观测器的时滞依赖H_/H∞同步故障检测器,然后针对同时存在区间时变时滞和异步切换的情况,提出了基于状态观测器的时滞依赖H_/H∞异步故障检测器,并使用平均驻留时间技术和多Lyapunov-Krasovskii泛函方法为两种故障检测器分别设计了参数。
[Abstract]:With the increasing complexity of the system and equipment, the single continuous dynamic model or discrete event model can not accurately describe and analyze the dynamic process of the system. Switched systems are typical models of hybrid systems, including several switched subsystems and a switched signal. At present, most of the researches on switched systems are focused on the stability analysis of switched systems, and the research results on the problem of fault detection of switched systems are relatively few. Therefore, this paper will carry out in-depth research in this direction. The main contents of this paper are as follows: aiming at the problem of complete decoupling of unknown input disturbance, a fault detection method based on unknown input observer is studied. Firstly, a fault detector based on unknown input observer is established for linear switched system, and the parameters of the fault detector are designed by using the average dwell time technique and the method of multiple Lyapunov function. Secondly, the method is extended to nonlinear switched systems with complete decoupling of unknown input disturbances, and the parameters of the fault detector are obtained by using the mean dwell time constraint, the multiple Lyapunov function method and the Lipschitz condition. A fault detection method for switched systems based on H / H 鈭，
本文编号：2429067
[Abstract]:With the increasing complexity of the system and equipment, the single continuous dynamic model or discrete event model can not accurately describe and analyze the dynamic process of the system. Switched systems are typical models of hybrid systems, including several switched subsystems and a switched signal. At present, most of the researches on switched systems are focused on the stability analysis of switched systems, and the research results on the problem of fault detection of switched systems are relatively few. Therefore, this paper will carry out in-depth research in this direction. The main contents of this paper are as follows: aiming at the problem of complete decoupling of unknown input disturbance, a fault detection method based on unknown input observer is studied. Firstly, a fault detector based on unknown input observer is established for linear switched system, and the parameters of the fault detector are designed by using the average dwell time technique and the method of multiple Lyapunov function. Secondly, the method is extended to nonlinear switched systems with complete decoupling of unknown input disturbances, and the parameters of the fault detector are obtained by using the mean dwell time constraint, the multiple Lyapunov function method and the Lipschitz condition. A fault detection method for switched systems based on H / H 鈭，
本文编号：2429067
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