A New Integral Inequality Approach for Extended Dissipative Filters Design of Singular Markovian Jump Systems with Discrete and Distributed Delays

This paper studies the problem of reduced-order extended dissipative filters design for continuous-time singular Markovian jump systems with discrete and distributed delays. By proposing a new integral inequality, a sufficient condition based on linear matrix inequalities (LMIs) is presented to ensu...

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Bibliographic Details
Published in:Circuits, systems, and signal processing systems, and signal processing, 2020-06, Vol.39 (6), p.2900-2921
Main Authors: Tian, Yufeng, Wang, Zhanshan
Format: Article
Language:English
Subjects:
Circuits and Systems
Electrical Engineering
Electronics and Microelectronics
Engineering
Instrumentation
Integrals
Linear matrix inequalities
Reduced order filters
Signal,Image and Speech Processing
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Summary:This paper studies the problem of reduced-order extended dissipative filters design for continuous-time singular Markovian jump systems with discrete and distributed delays. By proposing a new integral inequality, a sufficient condition based on linear matrix inequalities (LMIs) is presented to ensure the existence of the extended dissipative filters. Compared with the previous ones, the proposed method can sufficiently exploit the information on discrete and distributed delays. A set of slack matrices instead of fixed ones are introduced in the LMIs to find all solutions of the reduced-order filters, which can enhance the flexibility of the obtained result. Two numerical examples are provided to illustrate the effectiveness and advantages of the proposed filters design condition.
ISSN:0278-081X
1531-5878
DOI:10.1007/s00034-019-01305-9