title: H∞ mode-dependent fault detection filter design for stochastic Markovian jump systems with time-varying delays and parameter uncertainties.
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.
authors.affiliation: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China; School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China. Electronic address: zgmtsg@126.com.
authors.forename: Guangming
authors.initials: G
authors.lastname: Zhuang
authors.affiliation: School of Mathematical Sciences, Liaocheng University, Liaocheng, Shandong 252059, PR China.
authors.forename: Jianwei
authors.initials: J
authors.lastname: Xia
authors.affiliation: School of Science, Huzhou Teachers College, Huzhou, Zhejiang 313000, PR China.
authors.forename: Yuming
authors.initials: Y
authors.lastname: Chu
authors.affiliation: School of Automation, Nanjing University of Science and Technology, Nanjing 210094, PR China.
authors.forename: Fu
authors.initials: F
authors.lastname: Chen
keywords: Fault detection; Linear matrix inequality; Mode-dependent filter; Parameter uncertainty; Stochastic Markovian jump system; Time-varying delay