Positive Filtering with l1-Gain for Discrete-Time Positive Systems
This paper is concerned with the positive filtering problem for discrete-time positive systems under the l1-induced performance. We aim to propose a pair of positive filters with error-bounding features to estimate the output of positive systems. A novel characterization is first constructed so that...
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2016/1967875 |
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| _version_ | 1832565230580793344 |
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| author | Xiaoming Chen |
| author_facet | Xiaoming Chen |
| author_sort | Xiaoming Chen |
| collection | DOAJ |
| description | This paper is concerned with the positive filtering problem for discrete-time positive systems under the l1-induced performance. We aim to propose a pair of positive filters with error-bounding features to estimate the output of positive systems. A novel characterization is first constructed so that the filtering error system is asymptotically stable with a prescribed l1-induced performance. Then, necessary and sufficient conditions for the existence of required filters are presented, and the obtained results are expressed as linear programming problems. Moreover, it is pointed out that the results can be easily checked by standard software. In addition, a numerical example is given to show the effectiveness of the proposed design procedures. |
| format | Article |
| id | doaj-art-4cdeef87d071434f9d6dc07f9180f72a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4cdeef87d071434f9d6dc07f9180f72a2025-02-03T01:08:50ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2016-01-01201610.1155/2016/19678751967875Positive Filtering with l1-Gain for Discrete-Time Positive SystemsXiaoming Chen0College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, ChinaThis paper is concerned with the positive filtering problem for discrete-time positive systems under the l1-induced performance. We aim to propose a pair of positive filters with error-bounding features to estimate the output of positive systems. A novel characterization is first constructed so that the filtering error system is asymptotically stable with a prescribed l1-induced performance. Then, necessary and sufficient conditions for the existence of required filters are presented, and the obtained results are expressed as linear programming problems. Moreover, it is pointed out that the results can be easily checked by standard software. In addition, a numerical example is given to show the effectiveness of the proposed design procedures.http://dx.doi.org/10.1155/2016/1967875 |
| spellingShingle | Xiaoming Chen Positive Filtering with l1-Gain for Discrete-Time Positive Systems Discrete Dynamics in Nature and Society |
| title | Positive Filtering with l1-Gain for Discrete-Time Positive Systems |
| title_full | Positive Filtering with l1-Gain for Discrete-Time Positive Systems |
| title_fullStr | Positive Filtering with l1-Gain for Discrete-Time Positive Systems |
| title_full_unstemmed | Positive Filtering with l1-Gain for Discrete-Time Positive Systems |
| title_short | Positive Filtering with l1-Gain for Discrete-Time Positive Systems |
| title_sort | positive filtering with l1 gain for discrete time positive systems |
| url | http://dx.doi.org/10.1155/2016/1967875 |
| work_keys_str_mv | AT xiaomingchen positivefilteringwithl1gainfordiscretetimepositivesystems |