Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control
For synchronization of a class of chaotic systems in the presence of nonvanishing uncertainties, a novel time-varying gain observer-based sliding mode control is proposed. First, a novel time-varying gain disturbance observer (TVGDO) is developed to estimate the uncertainties. Then, by using the out...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2021/8845553 |
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| _version_ | 1832550156014190592 |
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| author | Yang Wang Zhen Wang Lingyun Kong |
| author_facet | Yang Wang Zhen Wang Lingyun Kong |
| author_sort | Yang Wang |
| collection | DOAJ |
| description | For synchronization of a class of chaotic systems in the presence of nonvanishing uncertainties, a novel time-varying gain observer-based sliding mode control is proposed. First, a novel time-varying gain disturbance observer (TVGDO) is developed to estimate the uncertainties. Then, by using the output of TVGDO to modify sliding mode control (SMC), a new TVGDO-based SMC scheme is developed. Although the observation and control precision of conventional fixed gain disturbance observer-based control (FGDOC) for chaotic systems can be guaranteed by a high observer gain, the undesirable spike problem may be caused by the high gain if the initial values of estimate and true states are not equal. The most attractive feature of this work is that the newly proposed TVGDO can eliminate the spike problem by developing a time-varying gain scheme. Finally, the effectiveness of the proposed method is demonstrated by the numerical simulation. |
| format | Article |
| id | doaj-art-98382849aaab4715b59302b7d95172d0 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-98382849aaab4715b59302b7d95172d02025-02-03T06:07:36ZengWileyComplexity1076-27871099-05262021-01-01202110.1155/2021/88455538845553Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode ControlYang Wang0Zhen Wang1Lingyun Kong2School of Science, Xijing University, Xi’an, ChinaSchool of Science, Xijing University, Xi’an, ChinaSchool of Science, Xijing University, Xi’an, ChinaFor synchronization of a class of chaotic systems in the presence of nonvanishing uncertainties, a novel time-varying gain observer-based sliding mode control is proposed. First, a novel time-varying gain disturbance observer (TVGDO) is developed to estimate the uncertainties. Then, by using the output of TVGDO to modify sliding mode control (SMC), a new TVGDO-based SMC scheme is developed. Although the observation and control precision of conventional fixed gain disturbance observer-based control (FGDOC) for chaotic systems can be guaranteed by a high observer gain, the undesirable spike problem may be caused by the high gain if the initial values of estimate and true states are not equal. The most attractive feature of this work is that the newly proposed TVGDO can eliminate the spike problem by developing a time-varying gain scheme. Finally, the effectiveness of the proposed method is demonstrated by the numerical simulation.http://dx.doi.org/10.1155/2021/8845553 |
| spellingShingle | Yang Wang Zhen Wang Lingyun Kong Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control Complexity |
| title | Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control |
| title_full | Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control |
| title_fullStr | Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control |
| title_full_unstemmed | Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control |
| title_short | Robust Synchronization of Class Chaotic Systems Using Novel Time-Varying Gain Disturbance Observer-Based Sliding Mode Control |
| title_sort | robust synchronization of class chaotic systems using novel time varying gain disturbance observer based sliding mode control |
| url | http://dx.doi.org/10.1155/2021/8845553 |
| work_keys_str_mv | AT yangwang robustsynchronizationofclasschaoticsystemsusingnoveltimevaryinggaindisturbanceobserverbasedslidingmodecontrol AT zhenwang robustsynchronizationofclasschaoticsystemsusingnoveltimevaryinggaindisturbanceobserverbasedslidingmodecontrol AT lingyunkong robustsynchronizationofclasschaoticsystemsusingnoveltimevaryinggaindisturbanceobserverbasedslidingmodecontrol |