Journal
SIGNAL PROCESSING
Volume 134, Issue -, Pages 1-8Publisher
ELSEVIER SCIENCE BV
DOI: 10.1016/j.sigpro.2016.11.010
Keywords
Markov jump systems; Finite frequency domain; Sensor nonlinearities
Categories
Funding
- National Natural Science Foundation of China [61403189, 61273155, 61322312]
- Natural Science Foundation of Jiangsu Province of China [BK20130949]
- Doctoral Foundation of Ministry of Education of China [20133221120012]
- Jiangsu Postdoctoral Science Foundation [1401015B]
- China Postdoctoral Science Foundation [2015M570397]
- Jiangsu Province [2015XXRJ-011]
- Key Laboratory Open Foundation [MCCSE2015A03]
- Jiangsu Government Scholarship for Overseas Studies [JS-2014-046]
- Fok Ying Tung Education Foundation [141060]
- Fundamental Research Funds for the Central Universities [N140405006]
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This paper is concerned with the filter design for Markov jump systems with incomplete transition probabilities subject to sensor nonlinearities. Moreover, the frequency of disturbance ranges in a finite interval. To set up a solvable solution to cast the filter parameters, nonlinearities induced by unknown transition probabilities are coped with the transition probability property and the S-procedure is adopted to handle sensor nonlinearities. With these strategies, sufficient conditions for the filtering error systems to be stochastically stable with the required finite frequency performance are established firstly. Then, a finite frequency filter design method is proposed in terms of linear matrix inequalities. The proposed finite frequency filter method covers the full frequency as a special case. Its effectiveness is verified by a numerical example.
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