Fault detection for discrete-time LPV systems using interval observers
Zhi-Hui Zhang and
Guang-Hong Yang
International Journal of Systems Science, 2017, vol. 48, issue 14, 2921-2935
Abstract:
This paper is concerned with the fault detection (FD) problem for discrete-time linear parameter-varying systems subject to bounded disturbances. A parameter-dependent FD interval observer is designed based on parameter-dependent Lyapunov and slack matrices. The design method is presented by translating the parameter-dependent linear matrix inequalities (LMIs) into finite ones. In contrast to the existing results based on parameter-independent and diagonal Lyapunov matrices, the derived disturbance attenuation, fault sensitivity and nonnegative conditions lead to less conservative LMI characterisations. Furthermore, without the need to design the residual evaluation functions and thresholds, the residual intervals generated by the interval observers are used directly for FD decision. Finally, simulation results are presented for showing the effectiveness and superiority of the proposed method.
Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:taf:tsysxx:v:48:y:2017:i:14:p:2921-2935
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DOI: 10.1080/00207721.2017.1363926
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