Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism
This paper is concerned with the issue of input-output finite-time stability (IO-FTS) for a class of nonlinear discrete time-varying systems. A time-varying observer-based sliding mode control method is proposed. In order to mitigate the transmission burden, an adaptive event-triggered mechanism is...
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| Format: | Article |
| Language: | English |
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IEEE
2023-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10011221/ |
| _version_ | 1797902210473918464 |
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| author | Menghua Chen |
| author_facet | Menghua Chen |
| author_sort | Menghua Chen |
| collection | DOAJ |
| description | This paper is concerned with the issue of input-output finite-time stability (IO-FTS) for a class of nonlinear discrete time-varying systems. A time-varying observer-based sliding mode control method is proposed. In order to mitigate the transmission burden, an adaptive event-triggered mechanism is proposed by adjusting the threshold. Taking consideration of the effect of time-delay phenomenon and time-varying system matrices, a time-varying Lyapunov functional is designed. Based on the designed Lyapunov functional and IO-FTS theory, sufficient conditions are established for the error estimation system and closed-loop state estimation system. Moreover, the proposed observer-based sliding mode control method makes sure the reachability of the quasi-sliding mode surface in finite steps. And conditions in terms of recursive linear matrix inequalities (RLMIs) are attained to ensure IO-FTS during both reaching phase and sliding mode phase. An algorithm is provided to solve the RLMIs and obtain the time-varying observer gains. Finally, the effectiveness and superiority of the proposed method is demonstrated by an industrial continuous-stirred tank reactor system. |
| first_indexed | 2024-04-10T09:14:06Z |
| format | Article |
| id | doaj.art-3f26505c9d16409f84313e8a6dbcfeb8 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-04-10T09:14:06Z |
| publishDate | 2023-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-3f26505c9d16409f84313e8a6dbcfeb82023-02-21T00:03:28ZengIEEEIEEE Access2169-35362023-01-01113555356310.1109/ACCESS.2023.323500910011221Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered MechanismMenghua Chen0https://orcid.org/0000-0002-4349-5096School of Automation and Electrical Engineering, Dalian Jiaotong University, Dalian, ChinaThis paper is concerned with the issue of input-output finite-time stability (IO-FTS) for a class of nonlinear discrete time-varying systems. A time-varying observer-based sliding mode control method is proposed. In order to mitigate the transmission burden, an adaptive event-triggered mechanism is proposed by adjusting the threshold. Taking consideration of the effect of time-delay phenomenon and time-varying system matrices, a time-varying Lyapunov functional is designed. Based on the designed Lyapunov functional and IO-FTS theory, sufficient conditions are established for the error estimation system and closed-loop state estimation system. Moreover, the proposed observer-based sliding mode control method makes sure the reachability of the quasi-sliding mode surface in finite steps. And conditions in terms of recursive linear matrix inequalities (RLMIs) are attained to ensure IO-FTS during both reaching phase and sliding mode phase. An algorithm is provided to solve the RLMIs and obtain the time-varying observer gains. Finally, the effectiveness and superiority of the proposed method is demonstrated by an industrial continuous-stirred tank reactor system.https://ieeexplore.ieee.org/document/10011221/Discrete time-varying systemadaptive event-triggered mechanismobserver-based sliding mode controlinput-output finite-time stability |
| spellingShingle | Menghua Chen Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism IEEE Access Discrete time-varying system adaptive event-triggered mechanism observer-based sliding mode control input-output finite-time stability |
| title | Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism |
| title_full | Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism |
| title_fullStr | Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism |
| title_full_unstemmed | Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism |
| title_short | Input-Output Finite-Time Sliding Mode Control of Discrete Time-Varying Systems Under an Adaptive Event-Triggered Mechanism |
| title_sort | input output finite time sliding mode control of discrete time varying systems under an adaptive event triggered mechanism |
| topic | Discrete time-varying system adaptive event-triggered mechanism observer-based sliding mode control input-output finite-time stability |
| url | https://ieeexplore.ieee.org/document/10011221/ |
| work_keys_str_mv | AT menghuachen inputoutputfinitetimeslidingmodecontrolofdiscretetimevaryingsystemsunderanadaptiveeventtriggeredmechanism |