### 摘要

In this work, the finite-time non-fragile mixed H_{∞} and passivity filter design problem for a class of discrete-time singular Markovian jump systems with time-varying delays, intermittent measurements and quantization is investigated. The measured output of the plant is quantized by a logarithmic mode-independent quantizer, and the time-varying transition probability matrix is described by a polytope. In this work, it is considered that the missing measurement phenomenon occurs during signal transmission from the plant to the filter, which is described by a stochastic variable that obeys the Bernoulli random binary distribution. Then, by constructing a proper Lyapunov–Krasovskii functional and using the linear matrix inequality (LMI) technique, sufficient conditions are obtained, which ensures that the augmented filtering system is stochastically finite-time boundedness with a prescribed mixed H_{∞} and passive performance index. Moreover, the filter gains can be computed in terms of solution to a set of LMIs. Finally, two numerical examples are provided to demonstrate the effectiveness and potential of the proposed filter design technique.

原文 | English |
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頁（從 - 到） | 3971-3995 |

頁數 | 25 |

期刊 | Circuits, Systems, and Signal Processing |

卷 | 38 |

發行號 | 9 |

DOIs | |

出版狀態 | Published - 2019 九月 15 |

### All Science Journal Classification (ASJC) codes

- Signal Processing
- Applied Mathematics

## 指紋 深入研究「Quantized Finite-Time Non-fragile Filtering for Singular Markovian Jump Systems with Intermittent Measurements」主題。共同形成了獨特的指紋。

## 引用此

*Circuits, Systems, and Signal Processing*,

*38*(9), 3971-3995. https://doi.org/10.1007/s00034-019-01046-9