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https://hdl.handle.net/2440/118373
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Type: | Journal article |
Title: | Reduced-order filtering for networks with Markovian jumping parameters and missing measurements |
Author: | Peng, H. Lu, R.Q. Shi, P. Xu, Y. |
Citation: | International Journal of Control, 2018; 92(12):2737-2749 |
Publisher: | Taylor & Francis |
Issue Date: | 2018 |
ISSN: | 0020-7179 1366-5820 |
Statement of Responsibility: | H. Peng, R. Q. Lu, P. Shi and Y. Xu |
Abstract: | The problem of reduced-order H∞ filters design for Markovian jumping complex networks with polytopic time-varying transition probability matrices is first addressed in this paper, where the dynamic of each node is described by the sector-bounded nonlinearity. For the measurements, both quantisation and packet dropouts are considered, where each node has its own packet dropout rate. By using the mode- and transition probability-dependent Lyapunov function approach, two sufficient conditions are provided to ensure the stochastic stability and the disturbance attenuation performance of the resulting filtering error system. Then, the mode-independent reduced-order filters design method is proposed, and the filter parameters are given explicitly by linear matrix inequality method. Finally, the effectiveness of the theoretic results presented is illustrated via a numerical example which contains performance comparison of different mode-independent reduced-order filters. |
Keywords: | Reduced-order filter; complex network; time-varying transition probability; quantisation; packet dropout |
Rights: | © 2018 Informa UK Limited, trading as Taylor & Francis Group |
DOI: | 10.1080/00207179.2018.1459854 |
Grant ID: | http://purl.org/au-research/grants/arc/DP170102644 |
Published version: | http://dx.doi.org/10.1080/00207179.2018.1459854 |
Appears in Collections: | Aurora harvest 4 Mathematical Sciences publications |
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