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H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay
Joint Authors
Wang, Guangchen
Zhang, Chenghui
Zhao, Huihong
Xing, Guojing
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-17
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
The issue of H∞ estimation for a class of Lipschitz nonlinear discrete-time systems with time delay and disturbance input is addressed.
First, through integrating the H∞ filtering performance index with the Lipschitz conditions of the nonlinearity, the design of robust estimator is formulated as a positive minimum problem of indefinite quadratic form.
Then, by introducing the Krein space model and applying innovation analysis approach, the minimum of the indefinite quadratic form is obtained in terms of innovation sequence.
Finally, through guaranteeing the positivity of the minimum, a sufficient condition for the existence of the H∞ estimator is proposed and the estimator is derived in terms of Riccati-like difference equations.
The proposed algorithm is proved to be effective by a numerical example.
American Psychological Association (APA)
Zhao, Huihong& Zhang, Chenghui& Wang, Guangchen& Xing, Guojing. 2011. H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-512418
Modern Language Association (MLA)
Zhao, Huihong…[et al.]. H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay. Abstract and Applied Analysis No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-512418
American Medical Association (AMA)
Zhao, Huihong& Zhang, Chenghui& Wang, Guangchen& Xing, Guojing. H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-512418
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-512418