Fault detection filter design for switched systems with quantization effects.

*(English)*Zbl 1347.93235Summary: The problem of fault detection for switched systems with quantization effects is investigated in this paper. The dynamic quantizer introduced here is composed of a dynamic scaling and a static quantizer. Subsequently, a novel fault detection scheme, which fully considers the static quantizer range and quantizer error, is proposed. Furthermore, sufficient conditions for fault detection filter are given in the framework of linear matrix inequality, and the filter gains and the static quantizer range are obtained by a convex optimization problem. Finally, the presented technique is validated by two examples, and simulation results indicate that the proposed method can effectively detect the fault.

##### MSC:

93E03 | Stochastic systems in control theory (general) |

93C30 | Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems) |

90C25 | Convex programming |

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\textit{J. Li} and \textit{J. H. Park}, J. Franklin Inst. 353, No. 11, 2431--2450 (2016; Zbl 1347.93235)

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