Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control
This paper considers the problem of the robust stability for the nonlinear system with time-varying delay and parameters uncertainties. Based on the H∞ theorem, Lyapunov-Krasovskii theory, and linear matrix inequality (LMI) optimization technique, the H∞ quasi-sliding mode controller and switching f...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2014/897179 |
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| _version_ | 1850232818658967552 |
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| author | Yi-You Hou Zhang-Lin Wan |
| author_facet | Yi-You Hou Zhang-Lin Wan |
| author_sort | Yi-You Hou |
| collection | DOAJ |
| description | This paper considers the problem of the robust stability for the nonlinear system with time-varying delay and parameters uncertainties. Based on the H∞ theorem, Lyapunov-Krasovskii theory, and linear matrix inequality (LMI) optimization technique, the H∞ quasi-sliding mode controller and switching function are developed such that the nonlinear system is asymptotically stable in the quasi-sliding mode and satisfies the disturbance attenuation (H∞-norm performance). The effectiveness and accuracy of the proposed methods are shown in numerical simulations. |
| format | Article |
| id | doaj-art-01d99c8f62144c289fa6a607b9d8fa4d |
| institution | OA Journals |
| issn | 1687-5869 1687-5877 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Antennas and Propagation |
| spelling | doaj-art-01d99c8f62144c289fa6a607b9d8fa4d2025-08-20T02:03:05ZengWileyInternational Journal of Antennas and Propagation1687-58691687-58772014-01-01201410.1155/2014/897179897179Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode ControlYi-You Hou0Zhang-Lin Wan1Department of Electrical Engineering, Far East University, Tainan 744, TaiwanTEL JAN Precision Machine Co., LTD, Kaohsiung 814, TaiwanThis paper considers the problem of the robust stability for the nonlinear system with time-varying delay and parameters uncertainties. Based on the H∞ theorem, Lyapunov-Krasovskii theory, and linear matrix inequality (LMI) optimization technique, the H∞ quasi-sliding mode controller and switching function are developed such that the nonlinear system is asymptotically stable in the quasi-sliding mode and satisfies the disturbance attenuation (H∞-norm performance). The effectiveness and accuracy of the proposed methods are shown in numerical simulations.http://dx.doi.org/10.1155/2014/897179 |
| spellingShingle | Yi-You Hou Zhang-Lin Wan Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control International Journal of Antennas and Propagation |
| title | Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control |
| title_full | Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control |
| title_fullStr | Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control |
| title_full_unstemmed | Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control |
| title_short | Robust Stability for Nonlinear Systems with Time-Varying Delay and Uncertainties via the H∞ Quasi-Sliding Mode Control |
| title_sort | robust stability for nonlinear systems with time varying delay and uncertainties via the h∞ quasi sliding mode control |
| url | http://dx.doi.org/10.1155/2014/897179 |
| work_keys_str_mv | AT yiyouhou robuststabilityfornonlinearsystemswithtimevaryingdelayanduncertaintiesviathehquasislidingmodecontrol AT zhanglinwan robuststabilityfornonlinearsystemswithtimevaryingdelayanduncertaintiesviathehquasislidingmodecontrol |