期刊
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
卷 51, 期 13, 页码 2360-2377出版社
TAYLOR & FRANCIS LTD
DOI: 10.1080/00207721.2020.1794080
关键词
Stochastic delayed system; randomly occurring; incomplete information; stochastic integral inequality; L-2-L-infinity filtering
类别
资金
- National Natural Science Foundation of PR China [61573130, 61973105]
- Innovation Scientists and Technicians Troop Construction Projects of Henan Province [CXTD2016054]
- Zhongyuan high level talents special support plan [ZYQR201912031]
- Fundamental Research Funds for the Universities of Henan Province [NSFRF170501]
This work investigates L-2-L-infinity filtering problem for a class of stochastic systems with time-delay and randomly occurring phenomena. The purpose of the addressed problem is to design a full order filter to ensure the filtering error system is asymptotically mean-square stable with prescribed L-2-L-infinity performance. A novel stochastic time-delay system model is established, in which randomly occurring nonlinearities and sensor saturation phenomena are considered. Then, a novel functional containing negative definite terms is constructed to relax the constraints on the functional, and a new free-matrix-based stochastic integral inequality is also given. Meanwhile, a novel L-2-L-infinity performance analysis method making full use of delay information is proposed. As a result, less conservative conditions for the existence of filters are obtained, under which the L-2-L-infinity performance level can be achieved for the filtering error system. Numerical examples are employed to show the benefits of the proposed approach.
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