H∞ mode-dependent fault detection filter design for stochastic Markovian jump systems with time-varying delays and
Guangming Zhuang1, Jianwei Xia2, Yuming Chu3
1School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China; School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China.
Abstract:
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.
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