Zhuang Guangming, Xia Jianwei, Chu Yuming, Chen Fu
School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China; School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China.
School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China.
ISA Trans. 2014 Jul;53(4):1024-34. doi: 10.1016/j.isatra.2014.05.021. Epub 2014 Jun 11.
This paper deals with the problem of robust H∞ fault detection for a class of stochastic Markovian jump systems (SMJSs) The aim is to design a linear mode-dependent fault detection filter such that the fault detection system is not only stochastically asymptotically stable in the large, but also satisfies a prescribed H∞-norm level for all admissible uncertainties. By using Lyapunov stability theory and generalized Itô formula, some novel mode-dependent and delay-dependent sufficient conditions in terms of linear matrix inequality (LMI) are proposed to insure the existence of the desired fault detection filter. A simulation example and an industrial nonisothermal continuous stirred tank reactor (CSTR) system are employed to show the effectiveness of the proposed method.
本文研究了一类随机马尔可夫跳跃系统（SMJSs）的鲁棒H∞故障检测问题。目的是设计一种线性模式依赖故障检测滤波器，使故障检测系统不仅在大范围内随机渐近稳定，而且对于所有允许的不确定性都满足规定的H∞范数水平。利用李雅普诺夫稳定性理论和广义伊藤公式，提出了一些基于线性矩阵不等式（LMI）的新颖的模式依赖和时滞依赖充分条件，以确保所需故障检测滤波器的存在。通过一个仿真例子和一个工业非等温连续搅拌釜式反应器（CSTR）系统验证了所提方法的有效性。
