Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay
Abstract In this paper, the sliding mode control of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay are studied. Firstly, a new integral sliding surface function is designed. Secondly, a new sufficient condition in the form of linear matrix inequality...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2022-07-01
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| Series: | The Journal of Engineering |
| Online Access: | https://doi.org/10.1049/tje2.12136 |
| _version_ | 1798033103965388800 |
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| author | Huaizhu Wang Guoyun Liu |
| author_facet | Huaizhu Wang Guoyun Liu |
| author_sort | Huaizhu Wang |
| collection | DOAJ |
| description | Abstract In this paper, the sliding mode control of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay are studied. Firstly, a new integral sliding surface function is designed. Secondly, a new sufficient condition in the form of linear matrix inequality is derived to guarantee the stochastic admissibility by using the semi‐Markov–Lyapunov function. Thirdly, a sliding mode control law can be synthesised to ensure the reachability of the predefined sliding surface. Finally, an example is given to demonstrate the effectiveness of the result. |
| first_indexed | 2024-04-11T20:23:43Z |
| format | Article |
| id | doaj.art-66bbf05e37324d788d10b4998c8d8d5a |
| institution | Directory Open Access Journal |
| issn | 2051-3305 |
| language | English |
| last_indexed | 2024-04-11T20:23:43Z |
| publishDate | 2022-07-01 |
| publisher | Wiley |
| record_format | Article |
| series | The Journal of Engineering |
| spelling | doaj.art-66bbf05e37324d788d10b4998c8d8d5a2022-12-22T04:04:43ZengWileyThe Journal of Engineering2051-33052022-07-012022769070010.1049/tje2.12136Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delayHuaizhu Wang0Guoyun Liu1School of Intelligent Engineering and Technology Ningxia University (Zhongwei) Zhongwei Ningxia ChinaSchool of Information Engineering Ningxia University Yinchuan Ningxia ChinaAbstract In this paper, the sliding mode control of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay are studied. Firstly, a new integral sliding surface function is designed. Secondly, a new sufficient condition in the form of linear matrix inequality is derived to guarantee the stochastic admissibility by using the semi‐Markov–Lyapunov function. Thirdly, a sliding mode control law can be synthesised to ensure the reachability of the predefined sliding surface. Finally, an example is given to demonstrate the effectiveness of the result.https://doi.org/10.1049/tje2.12136 |
| spellingShingle | Huaizhu Wang Guoyun Liu Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay The Journal of Engineering |
| title | Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay |
| title_full | Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay |
| title_fullStr | Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay |
| title_full_unstemmed | Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay |
| title_short | Sliding‐mode‐based admissible consensus of nonlinear singular stochastic uncertain semi‐Markov multi‐agent systems with time‐varying delay |
| title_sort | sliding mode based admissible consensus of nonlinear singular stochastic uncertain semi markov multi agent systems with time varying delay |
| url | https://doi.org/10.1049/tje2.12136 |
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