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ℋ ∞ Filter Design with Minimum Entropy for Continuous-Time Linear Systems
Joint Authors
Zheng, Zhong
Zhang, Jie
Bo, Yuming
Karimi, Hamid Reza
Lyu, Ming
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-12-05
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
We deal with the design problem of minimum entropy ℋ∞ filter in terms of linear matrix inequality (LMI) approach for linear continuous-time systems with a state-space model subject to parameter uncertainty that belongs to a given convex bounded polyhedral domain.
Given a stable uncertain linear system, our attention is focused on the design of full-order and reduced-order robust minimum entropy ℋ∞ filters, which guarantee the filtering error system to be asymptotically stable and are required to minimize the filtering error system entropy (at s0=∞) and to satisfy a prescribed ℋ∞ disturbance attenuation performance.
Sufficient conditions for the existence of desired full-order and reduced-order filters are established in terms of LMIs, respectively, and the corresponding filter synthesis is cast into a convex optimization problem which can be efficiently handled by using standard numerical software.
Finally, an illustrative example is provided to show the usefulness and effectiveness of the proposed design method.
American Psychological Association (APA)
Zhang, Jie& Karimi, Hamid Reza& Zheng, Zhong& Lyu, Ming& Bo, Yuming. 2013. ℋ ∞ Filter Design with Minimum Entropy for Continuous-Time Linear Systems. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031992
Modern Language Association (MLA)
Zhang, Jie…[et al.]. ℋ ∞ Filter Design with Minimum Entropy for Continuous-Time Linear Systems. Mathematical Problems in Engineering No. 2013 (2013), pp.1-9.
https://search.emarefa.net/detail/BIM-1031992
American Medical Association (AMA)
Zhang, Jie& Karimi, Hamid Reza& Zheng, Zhong& Lyu, Ming& Bo, Yuming. ℋ ∞ Filter Design with Minimum Entropy for Continuous-Time Linear Systems. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-9.
https://search.emarefa.net/detail/BIM-1031992
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1031992