Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach
This paper deals with the problems of exponential admissibility and H∞ control for a class of continuous-time switched singular systems with time-varying delay. The H∞ controllers to be designed include both the state feedback (SF) and the static output feedback (SOF). First, by using the average dw...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/482792 |
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| _version_ | 1832557032655290368 |
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| author | Jinxing Lin Zhifeng Gao |
| author_facet | Jinxing Lin Zhifeng Gao |
| author_sort | Jinxing Lin |
| collection | DOAJ |
| description | This paper deals with the problems of exponential admissibility and H∞ control for a class of continuous-time switched singular systems with time-varying delay. The H∞ controllers to be designed include both the state feedback
(SF) and the static output feedback (SOF). First, by using the average dwell time scheme, the piecewise Lyapunov function, and the free-weighting matrix technique, an exponential admissibility criterion, which is not only delay-range-dependent but also decay-rate-dependent, is derived in terms of linear matrix inequalities (LMIs). A weighted H∞ performance criterion is also provided. Then, based on these, the solvability conditions for the desired SF and SOF controllers are established by employing the LMI technique, respectively. Finally, two numerical examples are
given to illustrate the effectiveness of the proposed approach. |
| format | Article |
| id | doaj-art-795c0e4b66da48b3a882a0757bdb4c29 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-795c0e4b66da48b3a882a0757bdb4c292025-02-03T05:43:52ZengWileyJournal of Applied Mathematics1110-757X1687-00422012-01-01201210.1155/2012/482792482792Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time ApproachJinxing Lin0Zhifeng Gao1College of Automation, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu 210023, ChinaCollege of Automation, Nanjing University of Posts and Telecommunications, Nanjing, Jiangsu 210023, ChinaThis paper deals with the problems of exponential admissibility and H∞ control for a class of continuous-time switched singular systems with time-varying delay. The H∞ controllers to be designed include both the state feedback (SF) and the static output feedback (SOF). First, by using the average dwell time scheme, the piecewise Lyapunov function, and the free-weighting matrix technique, an exponential admissibility criterion, which is not only delay-range-dependent but also decay-rate-dependent, is derived in terms of linear matrix inequalities (LMIs). A weighted H∞ performance criterion is also provided. Then, based on these, the solvability conditions for the desired SF and SOF controllers are established by employing the LMI technique, respectively. Finally, two numerical examples are given to illustrate the effectiveness of the proposed approach.http://dx.doi.org/10.1155/2012/482792 |
| spellingShingle | Jinxing Lin Zhifeng Gao Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach Journal of Applied Mathematics |
| title | Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach |
| title_full | Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach |
| title_fullStr | Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach |
| title_full_unstemmed | Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach |
| title_short | Exponential Admissibility and H∞ Control of Switched Singular Time-Delay Systems: An Average Dwell Time Approach |
| title_sort | exponential admissibility and h∞ control of switched singular time delay systems an average dwell time approach |
| url | http://dx.doi.org/10.1155/2012/482792 |
| work_keys_str_mv | AT jinxinglin exponentialadmissibilityandhcontrolofswitchedsingulartimedelaysystemsanaveragedwelltimeapproach AT zhifenggao exponentialadmissibilityandhcontrolofswitchedsingulartimedelaysystemsanaveragedwelltimeapproach |