Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays
The problem of stabilization by means of dynamic output feedback is studied for discrete-time delayed systems with possible interval uncertainties. The control is under positivity constraint, which means that the resultant closed-loop system must be stable and positive. The robust resilient controll...
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| Format: | Article |
| Language: | English |
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Wiley
2010-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2010/640806 |
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| _version_ | 1832554852208607232 |
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| author | Zhenbo Li Shuqian Zhu |
| author_facet | Zhenbo Li Shuqian Zhu |
| author_sort | Zhenbo Li |
| collection | DOAJ |
| description | The problem of stabilization by means of dynamic output feedback is studied for discrete-time delayed systems with possible interval uncertainties. The control is under positivity constraint, which means that the resultant closed-loop system must be stable and positive. The robust resilient controller is respect to additive controller gain variation which also belongs to an interval. Necessary and sufficient/sufficient conditions are established for the existence of the dynamic output feedback controller. The desired controller gain matrices can be determined effectively via the cone complementarity linearization techniques. |
| format | Article |
| id | doaj-art-941dca375bf14415b752da7081e2b13f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2010-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-941dca375bf14415b752da7081e2b13f2025-02-03T05:50:27ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2010-01-01201010.1155/2010/640806640806Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with DelaysZhenbo Li0Shuqian Zhu1School of Statistics and Mathematics, Shandong Economic University, Jinan 250014, ChinaSchool of Mathematics, Shandong University, Jinan 250100, ChinaThe problem of stabilization by means of dynamic output feedback is studied for discrete-time delayed systems with possible interval uncertainties. The control is under positivity constraint, which means that the resultant closed-loop system must be stable and positive. The robust resilient controller is respect to additive controller gain variation which also belongs to an interval. Necessary and sufficient/sufficient conditions are established for the existence of the dynamic output feedback controller. The desired controller gain matrices can be determined effectively via the cone complementarity linearization techniques.http://dx.doi.org/10.1155/2010/640806 |
| spellingShingle | Zhenbo Li Shuqian Zhu Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays Discrete Dynamics in Nature and Society |
| title | Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays |
| title_full | Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays |
| title_fullStr | Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays |
| title_full_unstemmed | Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays |
| title_short | Dynamic Output Feedback Stabilization of Controlled Positive Discrete-Time Systems with Delays |
| title_sort | dynamic output feedback stabilization of controlled positive discrete time systems with delays |
| url | http://dx.doi.org/10.1155/2010/640806 |
| work_keys_str_mv | AT zhenboli dynamicoutputfeedbackstabilizationofcontrolledpositivediscretetimesystemswithdelays AT shuqianzhu dynamicoutputfeedbackstabilizationofcontrolledpositivediscretetimesystemswithdelays |