Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach
This paper is concerned with the problem of finite-time l1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee the l1-gain finite-time boundedness of the underlying system are given by using the average dw...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/872158 |
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| author | Shuo Li Zhengrong Xiang Hamid Reza Karimi |
| author_facet | Shuo Li Zhengrong Xiang Hamid Reza Karimi |
| author_sort | Shuo Li |
| collection | DOAJ |
| description | This paper is concerned with the problem of finite-time l1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee the l1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with an
l1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method. |
| format | Article |
| id | doaj-art-935f31732fad401f97910d60db1cd694 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-935f31732fad401f97910d60db1cd6942025-08-20T03:37:20ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/872158872158Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator ApproachShuo Li0Zhengrong Xiang1Hamid Reza Karimi2School of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaSchool of Automation, Nanjing University of Science and Technology, Nanjing 210094, ChinaDepartment of Engineering, Faculty of Engineering and Science, University of Agder, 4898 Grimstad, NorwayThis paper is concerned with the problem of finite-time l1-gain control for positive switched systems with time-varying delay via delta operator approach. Firstly, sufficient conditions which can guarantee the l1-gain finite-time boundedness of the underlying system are given by using the average dwell time approach and constructing an appropriate copositive type Lyapunov-Krasovskii functional in delta domain. Moreover, the obtained conditions can unify some previously suggested relevant results seen in literature of both continuous and discrete systems into the delta operator framework. Then, based on the results obtained, a state feedback controller is designed to ensure that the resulting closed-loop system is finite-time bounded with an l1-gain performance. Finally, a numerical example is presented to demonstrate the effectiveness and feasibility of the proposed method.http://dx.doi.org/10.1155/2014/872158 |
| spellingShingle | Shuo Li Zhengrong Xiang Hamid Reza Karimi Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach Abstract and Applied Analysis |
| title | Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach |
| title_full | Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach |
| title_fullStr | Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach |
| title_full_unstemmed | Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach |
| title_short | Finite-Time l1-Gain Control for Positive Switched Systems with Time-Varying Delay via Delta Operator Approach |
| title_sort | finite time l1 gain control for positive switched systems with time varying delay via delta operator approach |
| url | http://dx.doi.org/10.1155/2014/872158 |
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