Fault detection of discrete-time delay Markovian jump systems with delay term modes partially available |
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| Authors: | Guoliang Wang Zhiqiang Li Xin Miao Qingling Zhang Chunyu Yang |
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| Institution: | 1. School of Information and Control Engineering, Liaoning Shihua University, Fushun Liaoning 113001, China;2. Institute of Systems Science, Northeastern University, Shenyang, Liaoning, 110819 China;3. State Key Laboratory of Synthetical Automation for Process Industries, Northeastern University, Liaoning, Shenyang 110819, China;4. School of Information and Electrical Engineering, China University of Mining and Technology, Xuzhou Jiangsu 221116, China |
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| Abstract: | This paper focuses on the fault detection problem for a class of discrete-time delay Markovian jump systems with delay term modes partially available. A crucial but general hypothesis considered here is there is a suitable and effective detector to provide a measurement signal of operation mode of delay term. The fault detection filter used as the residual generator could depend on the original system operation mode or the signal emitted from detector. Via minimizing the error between the residual and fault signal, the problem of fault detection and isolation (FDI) is converted into an H∞ filtering problem and closely related to a probability representing the degree of dependence between the original and measurable signals. An improved Lyapunov function depending on such two operation modes is exploited to study the corresponding problems. Sufficient conditions for the existence of the desired FDI filter are presented in terms of LMIs. When such a probability is uncertain or partially unknown, similar problems are also considered. A practical example is used to demonstrate the effectiveness and superiority of the proposed methods. |
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| Keywords: | Corresponding author |
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