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H ∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization
Joint Authors
Feng, Yifu
Li, Zhi-Min
Chang, Xiao-Heng
Source
Mathematical Problems in Engineering
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-06-11
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
This paper investigates the problem of H∞ filtering for class discrete-time Lipschitz nonlinear singular systems with measurement quantization.
Assume that the system measurement output is quantized by a static, memoryless, and logarithmic quantizer before it is transmitted to the filter, while the quantizer errors can be treated as sector-bound uncertainties.
The attention of this paper is focused on the design of a nonlinear quantized H∞ filter to mitigate quantization effects and ensure that the filtering error system is admissible (asymptotically stable, regular, and causal), while having a unique solution with a prescribed H∞ noise attenuation level.
By introducing some slack variables and using the Lyapunov stability theory, some sufficient conditions for the existence of the nonlinear quantized H∞ filter are expressed in terms of linear matrix inequalities (LMIs).
Finally, a numerical example is presented to demonstrate the effectiveness of the proposed quantized filter design method.
American Psychological Association (APA)
Feng, Yifu& Li, Zhi-Min& Chang, Xiao-Heng. 2017. H ∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization. Mathematical Problems in Engineering،Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1192729
Modern Language Association (MLA)
Feng, Yifu…[et al.]. H ∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization. Mathematical Problems in Engineering No. 2017 (2017), pp.1-9.
https://search.emarefa.net/detail/BIM-1192729
American Medical Association (AMA)
Feng, Yifu& Li, Zhi-Min& Chang, Xiao-Heng. H ∞ Filtering for Discrete-Time Nonlinear Singular Systems with Quantization. Mathematical Problems in Engineering. 2017. Vol. 2017, no. 2017, pp.1-9.
https://search.emarefa.net/detail/BIM-1192729
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1192729