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robust fault detection filter design for a class of time-delay systems via equivalent transformation

控制理论与应用（英文版） 2013年第1期11卷 54-60页

作者： Jilie ZHANG Huaguang ZHANG Feisheng YANG Shenquan WANG School of Information Science and Engineering Northeastern University State Key Laboratory of Synthetical Automation for Process Industries (Northeastern University)

This paper is concerned with the robust fault detection filter （RFDF） design for a class of linear time- invariant systems （LTISs） with output state time delays. Although existing results in literatures study the RFDF for time- delay systems, few is concerned with the output state time-delay systems. The basic idea of our study is to eliminate the time delays of system and transform it to a delay-free system （i.e., a linear time-invariant system without time delays） by the bicausal change of coordinates approach. Then, we design the RFDF for the delay-free LTIS, which is equivalent to the original system with time delays. We first introduce a class of systems with output state time delays, whose fault can be detected by using the RFDF design approach for delay-free systems. Then, since the RFDF design problem can be formulated as a standard H-infinity-model matching problem, it is solved by using H-infinity-optimization LMI techniques. In the last, the adaptive threshold of fault detection is chosen and an illustrative design example is used to demonstrate the validity of the design approach.

关键词： Equivalent transformation robust fault detection filter Output state time-delay system

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robust fault detection filters for switched systems with sensor fault

Robust fault detection filters for switched systems with sen...

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第24届中国控制与决策会议

作者： Jian Li the College of Information Science and Engineering, Northeastern University and Guang-Hong Yang the College of Information Science and Engineering, Northeastern University, Key Laboratory of Integrated Automation of Process Industry(Ministry of Education), Northeastern University

The problem of robust fault detection filters for switched systems systems with sensor fault. Different from the average dwell time （ADT） switching, the switched systems are switched with mode-dependent average dwell time switching law which means that each subsystem has its own ADT, its own decay rate of the Lyapunov-like function and its own increase coefficient of Lyapunov-like function at switching instants. An analysis condition to capture the weighted 2 performance for switched systems with mode-dependent average dwell time （MDADT） is presented. With the aid of multiple Lyapunov-like functions and Projection Lemma, a procedure of robust fault detection filter synthesis is given in terms of linear matrix inequalities （LMIs）. Finally, an example is given to illustrated the effectiveness of the proposed method.

关键词： robust fault detection filter switched systems mode-dependent average dwell time.

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