Finite-time fault detection filters design for switched systems with all subsystems unstable

Qingyu Su, Zhongxin Fan and Jian Li

International Journal of Systems Science, 2020, vol. 51, issue 3, 545-555

Abstract: This paper deals with the problem of finite-time fault detection filters designing problem for switched systems with all subsystems unstable. Using the average dwell time method, a switching rule ensuring stability is given. The filter design is converted to the finite-time $L_{2} $L2-gain analysis. Then, sufficient conditions are raised to ensure finite-time boundedness and $L_{2} $L2-gain property by LMIs. Discretised Lyapunov function is introduced for the theoretical analysis. In the end, an example is listed to attest the general validity of the raised way.

Date: 2020
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DOI: 10.1080/00207721.2020.1717017

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