脉冲切换系统的故障检测方法研究
本文关键词: 故障检测 非线性脉冲切换系统 滤波器 H_∞性能指标 H-性能指标 出处:《东北电力大学》2017年硕士论文 论文类型:学位论文
【摘要】:在实际生产过程中,许多系统都能够被建模为切换系统。与此同时,许多学者在研究切换系统建模时也发现将部分的实际系统归于一般的切换系统模型会与实际的结果不符,违背系统真实的规律。随着研究的不断深入,学者们发现许多系统同时具有脉冲和切换两种特性,因此在切换系统的基础上发展出了脉冲切换系统。脉冲切换系统是切换系统的一个重要分支,然而对脉冲切换系统的故障检测问题的研究目前还尚处于起步阶段。因此,该问题受到了越来越广泛的关注。本文研究了离散非线性脉冲切换系统的故障检测问题。主要工作内容如下:针对非线性脉冲切换系统的故障检测问题,设计相应的故障检测滤波器作为残差产生器。提出基于平均驻留时间方法和多李雅普诺夫函数方法设计对应的切换信号,使系统具有稳定性。将鲁棒故障检测问题转化为H∞滤波问题,然后将这个问题归纳为一个解凸优化的充分条件,通过求解线性矩阵不等式条件获得故障检测滤波器的增益。最后通过一个仿真实例证明其可行性。另一方面针对同样的非线性脉冲切换系统的故障检测问题,采用不同的方法设计另一个故障检测滤波器,提出系统应当满足的加权l2性能指标和H-性能指标,得到非线性脉冲切换系统的干扰抑制条件和故障敏感条件。最后通过设计阈值和残差估计函数,当残差估计函数大于阈值时,则发出报警信号,反之则正常运行,从而实现对非线性脉冲切换系统的故障检测。最后通过一个仿真实例证明其有效性。
[Abstract]:In the actual production process, many systems can be modeled as a switched system. At the same time, many scholars in the modeling of switching system also found the actual parts of the system to the switching system model and the actual results are inconsistent, contrary to the true law of the system. With the deepening of research, scholars have found many systems at the same time with two kinds of pulse and switching characteristics, based on switching system has been developed on the pulse switching system. Impulsive switched system is an important branch of switched systems, however the research on the fault detection problem for impulsive switched systems is still in the initial stage. Therefore, the problem has been more and more widely pay attention to the problem of fault detection is studied in this paper. Discrete Impulsive Switched Systems. The main contents are as follows: according to the fault detection of nonlinear impulsive switched system problems Design, the corresponding fault detection filter as a residual generator. The switching signal design of average dwell time method and Li Yapu method based on the corresponding Lyapunov function, make the system more stable. The robust fault detection problem into H filtering problem, then the problem of induction is a sufficient condition for convex optimization, fault detection filter gain by solving linear matrix inequalities. Finally, a simulation example shows its feasibility. On the other hand, for the same nonlinear pulse fault detection problem of switched systems, design another fault detection filter using different methods, this system should meet the weighted L2 performance index and the performance index of H-, get the nonlinear interference impulsive switched system suppression conditions and fault sensitive conditions. Finally, through the design of threshold and residual function estimation, when When the residual estimation function is greater than the threshold, it sends out the alarm signal, otherwise it runs normally, so as to realize the fault detection of the nonlinear impulse switching system. Finally, a simulation example is given to prove its effectiveness.
【学位授予单位】:东北电力大学
【学位级别】:硕士
【学位授予年份】:2017
【分类号】:TP13;TN713
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