H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay
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 p...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/970978 |
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| _version_ | 1832548160928481280 |
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| author | Huihong Zhao Chenghui Zhang Guangchen Wang Guojing Xing |
| author_facet | Huihong Zhao Chenghui Zhang Guangchen Wang Guojing Xing |
| author_sort | Huihong Zhao |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-efa8346a0f9a4e328ebd0f29dd174946 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-efa8346a0f9a4e328ebd0f29dd1749462025-02-03T06:42:13ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/970978970978H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time DelayHuihong Zhao0Chenghui Zhang1Guangchen Wang2Guojing Xing3School of Control Science and Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, ChinaSchool of Control Science and Engineering, Shandong University, 17923 Jingshi Road, Jinan 250061, ChinaThe 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.http://dx.doi.org/10.1155/2011/970978 |
| spellingShingle | Huihong Zhao Chenghui Zhang Guangchen Wang Guojing Xing H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay Abstract and Applied Analysis |
| title | H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay |
| title_full | H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay |
| title_fullStr | H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay |
| title_full_unstemmed | H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay |
| title_short | H∞ Estimation for a Class of Lipschitz Nonlinear Discrete-Time Systems with Time Delay |
| title_sort | h∞ estimation for a class of lipschitz nonlinear discrete time systems with time delay |
| url | http://dx.doi.org/10.1155/2011/970978 |
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