Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback
The reliable l2–l∞ and H∞ control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control. The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop sy...
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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/10.1155/2014/670543 |
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| author | Lin Li Yuting Kang |
| author_facet | Lin Li Yuting Kang |
| author_sort | Lin Li |
| collection | DOAJ |
| description | The reliable l2–l∞ and H∞ control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control. The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a given l2–l∞ and H∞ disturbance attenuation level being satisfied. Some sufficient conditions are obtained in terms of linear matrix inequalities (LMIs), and the controller design method is also proposed. Finally, a numerical example is included to illustrate the effectiveness of our proposed results. |
| format | Article |
| id | doaj-art-f8ae611efa01470db800f47f37321b9e |
| 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-f8ae611efa01470db800f47f37321b9e2025-02-03T06:44:44ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/670543670543Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output FeedbackLin Li0Yuting Kang1Department of Control Science and Engineering and Shanghai Key Lab of Modern Optical System, University of Shanghai for Science and Technology, Shanghai 200093, ChinaDepartment of Control Science and Engineering and Shanghai Key Lab of Modern Optical System, University of Shanghai for Science and Technology, Shanghai 200093, ChinaThe reliable l2–l∞ and H∞ control for a class of Lipschitz nonlinear discrete-time singular systems with time delay is investigated via dynamic feedback control. The main goal of this paper is to design a generalized nonlinear controller such that, for possible actuator failures, the closed-loop system is regular, casual, and stable with a given l2–l∞ and H∞ disturbance attenuation level being satisfied. Some sufficient conditions are obtained in terms of linear matrix inequalities (LMIs), and the controller design method is also proposed. Finally, a numerical example is included to illustrate the effectiveness of our proposed results.http://dx.doi.org/10.1155/2014/670543 |
| spellingShingle | Lin Li Yuting Kang Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback Abstract and Applied Analysis |
| title | Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback |
| title_full | Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback |
| title_fullStr | Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback |
| title_full_unstemmed | Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback |
| title_short | Reliable l2–l∞ and H∞ Control for Nonlinear Singular Systems via Dynamic Output Feedback |
| title_sort | reliable l2 l∞ and h∞ control for nonlinear singular systems via dynamic output feedback |
| url | http://dx.doi.org/10.1155/2014/670543 |
| work_keys_str_mv | AT linli reliablel2landhcontrolfornonlinearsingularsystemsviadynamicoutputfeedback AT yutingkang reliablel2landhcontrolfornonlinearsingularsystemsviadynamicoutputfeedback |