Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay
This paper is the further investigation of work of Yan and Liu, 2011, and considers the global practical tracking problem by output feedback for a class of uncertain nonlinear systems with not only unmeasured states dependent growth but also time-varying time delay. Compared with the closely related...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | The Scientific World Journal |
| Online Access: | http://dx.doi.org/10.1155/2014/713081 |
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| _version_ | 1849690808445304832 |
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| author | Xuehua Yan Xinmin Song |
| author_facet | Xuehua Yan Xinmin Song |
| author_sort | Xuehua Yan |
| collection | DOAJ |
| description | This paper is the further investigation of work of Yan and Liu, 2011, and considers the global practical tracking problem by output feedback for a class of uncertain nonlinear systems with not only unmeasured states dependent growth but also time-varying time delay. Compared with the closely related works, the remarkableness of the paper is that the time-varying time delay and unmeasurable states are permitted in the system nonlinear growth. Motivated by the related tracking results and flexibly using the ideas and techniques of universal control and dead zone, an adaptive output-feedback tracking controller is explicitly designed with the help of a new Lyapunov-Krasovskii functional, to make the tracking error prescribed arbitrarily small after a finite time while keeping all the closed-loop signals bounded. A numerical example demonstrates the effectiveness of the results. |
| format | Article |
| id | doaj-art-ed3477f90f9841e6a0a8e041d83c2cf4 |
| institution | DOAJ |
| issn | 2356-6140 1537-744X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Scientific World Journal |
| spelling | doaj-art-ed3477f90f9841e6a0a8e041d83c2cf42025-08-20T03:21:12ZengWileyThe Scientific World Journal2356-61401537-744X2014-01-01201410.1155/2014/713081713081Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time DelayXuehua Yan0Xinmin Song1School of Electrical Engineering, University of Jinan, Jinan, Shandong 250022, ChinaSchool of Information Science and Engineering, Shandong Normal University, Jinan, Shandong 250014, ChinaThis paper is the further investigation of work of Yan and Liu, 2011, and considers the global practical tracking problem by output feedback for a class of uncertain nonlinear systems with not only unmeasured states dependent growth but also time-varying time delay. Compared with the closely related works, the remarkableness of the paper is that the time-varying time delay and unmeasurable states are permitted in the system nonlinear growth. Motivated by the related tracking results and flexibly using the ideas and techniques of universal control and dead zone, an adaptive output-feedback tracking controller is explicitly designed with the help of a new Lyapunov-Krasovskii functional, to make the tracking error prescribed arbitrarily small after a finite time while keeping all the closed-loop signals bounded. A numerical example demonstrates the effectiveness of the results.http://dx.doi.org/10.1155/2014/713081 |
| spellingShingle | Xuehua Yan Xinmin Song Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay The Scientific World Journal |
| title | Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay |
| title_full | Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay |
| title_fullStr | Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay |
| title_full_unstemmed | Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay |
| title_short | Global Practical Tracking by Output Feedback for Nonlinear Systems with Unknown Growth Rate and Time Delay |
| title_sort | global practical tracking by output feedback for nonlinear systems with unknown growth rate and time delay |
| url | http://dx.doi.org/10.1155/2014/713081 |
| work_keys_str_mv | AT xuehuayan globalpracticaltrackingbyoutputfeedbackfornonlinearsystemswithunknowngrowthrateandtimedelay AT xinminsong globalpracticaltrackingbyoutputfeedbackfornonlinearsystemswithunknowngrowthrateandtimedelay |