基于模型的二维系统的故障诊断与容错控制

发布时间：2018-01-23 12:23

  本文关键词： 2D系统 故障诊断 容错控制 观测器 故障估计　出处：《北京化工大学》2016年博士论文　论文类型：学位论文

【摘要】：随着生产实践过程的规模化、复杂化以及对产品质量、能源消耗等方面要求的持续提高,系统安全性成为一个至关重要且需要妥善对待的问题。故障诊断与容错控制技术正好能够很好地应对由故障引发的严重的安全性威胁,保证系统性能,因而受到学术界和工业界的广泛关注,对该技术的研究成为热点问题,并涌现出大量先进的技术和成功的应用成果。二维(2D, two-dimensional)系统在批次过程、图像处理等实际过程中广泛存在,且.2D系统理论能够被用来方便地解决很多具体问题。然而,由于2D系统自身复杂性和困难性,针对2D系统的故障诊断与容错控制研究成果较少,很多问题亟待解决。因而,本文基于模型对2D系统的故障诊断与容错控制展开研究,以解除故障对2D系统安全性带来的威胁,满足实用需求。具体工作和成果包括：第二章到第四章主要研究了2D时不变系统的故障诊断与容错控制问题。其中,基于奇异系统方法观测器,第二章给出了2D线性系统的状态和故障同时估计的结果。利用矩阵秩理论以及2D系统稳定性理论,深入分析并给出了可以同时估计状态和故障的观测器渐近稳定和一致最终有界的充分必要性条件；在此基础上,在论文中给出了实用的观测器设计方法。第三章在第二章的基础上,研究了一类满足Lipschitz非线性约束的带系统扰动的2D非线性系统的传感器故障重构与补偿问题。基于LMI技术,给出了故障重构观测器全局渐近稳定和满足H∞性能指标的充分性条件以及增益矩阵的解,并将重构出来的故障用到容错控制中去。第四章研究了带系统扰动和变状态时滞的2D系统的传感器故障主动容错控制问题。在时域范数框架下,首先给出了给定误报率时最大化故障检测率意义下的2D系统集成故障诊断模块的设计；进而,依据故障诊断模块给出的故障信息,完成控制器重构,实现传感器故障主动容错控制。第五章和第六章考虑了2D时变系统的故障诊断问题。其中,第五章依据线性估计和Krein空间理论,给出了带确定性扰动和故障的2D线性时变系统的H∞故障估计的结果。论文一并给出了故障估计器存在的充分必要性条件以及对应的解析解。第六章针对带随机噪声的2D时变系统,给出了无偏最小方差意义下的状态和/或故障估计的结果。利用无偏最小方差的定义,将估计器设计问题转化为以估计器增益矩阵作未知数的线性矩阵方程的求解问题,进而给出了估计器存在的充要条件以及估计器增益的解析解。
[Abstract]:With the production practice process of scale, complexity and product quality, energy consumption and other aspects of continuous improvement. Fault diagnosis and fault-tolerant control technology can well deal with the serious security threat caused by fault and ensure the performance of the system. As a result, the research of this technology has become a hot issue, and a large number of advanced technologies and successful application results have emerged. Two-dimensional) system exists widely in batch process, image processing and so on, and the theory of .2D system can be used to solve many specific problems conveniently. Due to the complexity and difficulty of 2D system, there are few researches on fault diagnosis and fault-tolerant control for 2D system, and many problems need to be solved. In this paper, the fault diagnosis and fault-tolerant control of 2D system is studied based on the model, in order to remove the threat to the security of 2D system caused by the fault. The main achievements are as follows: from Chapter 2 to Chapter 4th, fault diagnosis and fault-tolerant control of 2D time-invariant systems are studied. In the second chapter, the results of simultaneous state and fault estimation for 2D linear systems are given, and the matrix rank theory and 2D system stability theory are used. The sufficient necessary conditions for the asymptotic stability and uniform ultimate boundedness of the observer which can simultaneously estimate the state and the fault are analyzed and given. On this basis, a practical observer design method is given in this paper. The third chapter is based on the second chapter. The problem of sensor fault reconstruction and compensation for a class of 2D nonlinear systems with system disturbances satisfying Lipschitz nonlinear constraints is studied based on LMI technology. The sufficient conditions for the global asymptotic stability of the fault reconstruction observer and the H 鈭，

本文编号：1457527