ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers
We consider a design problem of a variable gain robust output feedback controller with guaranteed ℒ2 gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specified ℒ2 gain per...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Control Science and Engineering |
| Online Access: | http://dx.doi.org/10.1155/2013/432034 |
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| _version_ | 1832548886521053184 |
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| author | Hidetoshi Oya Kojiro Hagino |
| author_facet | Hidetoshi Oya Kojiro Hagino |
| author_sort | Hidetoshi Oya |
| collection | DOAJ |
| description | We consider a design problem of a variable gain robust output feedback controller with guaranteed ℒ2 gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specified ℒ2 gain performance. In this paper, we show that sufficient conditions for the existence of the proposed variable gain robust output feedback controller with guaranteed ℒ2 gain performance are given in terms of linear matrix inequalities (LMIs). Finally, a simple numerical example is included. |
| format | Article |
| id | doaj-art-5e1a7b93301341bc8b28837647178409 |
| institution | Kabale University |
| issn | 1687-5249 1687-5257 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Control Science and Engineering |
| spelling | doaj-art-5e1a7b93301341bc8b288376471784092025-02-03T06:12:40ZengWileyJournal of Control Science and Engineering1687-52491687-52572013-01-01201310.1155/2013/432034432034ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback ControllersHidetoshi Oya0Kojiro Hagino1The Institute of Technology and Science, The University of Tokushima, 2-1 Minamijosanjima, Tokushima 770-8506, JapanThe Graduate School of Informatics and Engineering, The University of Electro-Communications, 1-5-1 Chofugaoka, Chofu, Tokyo 182-8585, JapanWe consider a design problem of a variable gain robust output feedback controller with guaranteed ℒ2 gain performance for a class of Lipschitz uncertain nonlinear systems. The proposed variable gain robust output feedback controller achieves not only robust stability but also a specified ℒ2 gain performance. In this paper, we show that sufficient conditions for the existence of the proposed variable gain robust output feedback controller with guaranteed ℒ2 gain performance are given in terms of linear matrix inequalities (LMIs). Finally, a simple numerical example is included.http://dx.doi.org/10.1155/2013/432034 |
| spellingShingle | Hidetoshi Oya Kojiro Hagino ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers Journal of Control Science and Engineering |
| title | ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers |
| title_full | ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers |
| title_fullStr | ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers |
| title_full_unstemmed | ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers |
| title_short | ℒ2 Gain Performance for a Class of Lipschitz Uncertain Nonlinear Systems via Variable Gain Robust Output Feedback Controllers |
| title_sort | l2 gain performance for a class of lipschitz uncertain nonlinear systems via variable gain robust output feedback controllers |
| url | http://dx.doi.org/10.1155/2013/432034 |
| work_keys_str_mv | AT hidetoshioya l2gainperformanceforaclassoflipschitzuncertainnonlinearsystemsviavariablegainrobustoutputfeedbackcontrollers AT kojirohagino l2gainperformanceforaclassoflipschitzuncertainnonlinearsystemsviavariablegainrobustoutputfeedbackcontrollers |