Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems
Abstract This paper proposes a distributed artificially delayed output feedback‐based leader–follower and leaderless consensus control for the uncertain general linear multiagent systems (MASs) with an arbitrary relative degree. Based on the measured relative output and their delayed information wit...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-10-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12171 |
| _version_ | 1828777816912560128 |
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| author | Sandeep Kumar Soni Xiaogang Xiong Ankit Sachan Shyam Kamal Sandip Ghosh |
| author_facet | Sandeep Kumar Soni Xiaogang Xiong Ankit Sachan Shyam Kamal Sandip Ghosh |
| author_sort | Sandeep Kumar Soni |
| collection | DOAJ |
| description | Abstract This paper proposes a distributed artificially delayed output feedback‐based leader–follower and leaderless consensus control for the uncertain general linear multiagent systems (MASs) with an arbitrary relative degree. Based on the measured relative output and their delayed information with respect to neighbours, two distributed controllers are designed, which relaxes the requirement of all relative states information of agents. Through the Lyapunov–Krasovskii functional, linear matrix inequalities (LMIs) are formulated, and these LMIs are feasible for arbitrary small delays selected by the user. Delay‐dependent sufficient conditions are provided to guarantee the asymptotic convergence of nominal error systems and ultimately uniform boundedness in the case of a perturbed error system, using the input to state stability (ISS) theory. Finally, the efficacy of the proposed method is illustrated through numerical examples. |
| first_indexed | 2024-12-11T16:29:49Z |
| format | Article |
| id | doaj.art-3850ecd4d917461e8594d68b45210553 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-12-11T16:29:49Z |
| publishDate | 2021-10-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-3850ecd4d917461e8594d68b452105532022-12-22T00:58:38ZengWileyIET Control Theory & Applications1751-86441751-86522021-10-0115151956197010.1049/cth2.12171Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systemsSandeep Kumar Soni0Xiaogang Xiong1Ankit Sachan2Shyam Kamal3Sandip Ghosh4Department of Electrical Engineering Indian Institute of Technology (BHU) Varanasi Uttar Pradesh IndiaDepartment of Mechanical and Automation Harbin Institute of Technology Shenzhen P. R. ChinaGraduate School of Advanced Science and Engineering Hiroshima University Higashi Hiroshima JapanDepartment of Electrical Engineering Indian Institute of Technology (BHU) Varanasi Uttar Pradesh IndiaDepartment of Electrical Engineering Indian Institute of Technology (BHU) Varanasi Uttar Pradesh IndiaAbstract This paper proposes a distributed artificially delayed output feedback‐based leader–follower and leaderless consensus control for the uncertain general linear multiagent systems (MASs) with an arbitrary relative degree. Based on the measured relative output and their delayed information with respect to neighbours, two distributed controllers are designed, which relaxes the requirement of all relative states information of agents. Through the Lyapunov–Krasovskii functional, linear matrix inequalities (LMIs) are formulated, and these LMIs are feasible for arbitrary small delays selected by the user. Delay‐dependent sufficient conditions are provided to guarantee the asymptotic convergence of nominal error systems and ultimately uniform boundedness in the case of a perturbed error system, using the input to state stability (ISS) theory. Finally, the efficacy of the proposed method is illustrated through numerical examples.https://doi.org/10.1049/cth2.12171Artificial intelligence (theory)AlgebraLinear control systemsControl system analysis and synthesis methodsStability in control theoryMultivariable control systems |
| spellingShingle | Sandeep Kumar Soni Xiaogang Xiong Ankit Sachan Shyam Kamal Sandip Ghosh Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems IET Control Theory & Applications Artificial intelligence (theory) Algebra Linear control systems Control system analysis and synthesis methods Stability in control theory Multivariable control systems |
| title | Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems |
| title_full | Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems |
| title_fullStr | Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems |
| title_full_unstemmed | Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems |
| title_short | Delayed output feedback based leader–follower and leaderless consensus control of uncertain multiagent systems |
| title_sort | delayed output feedback based leader follower and leaderless consensus control of uncertain multiagent systems |
| topic | Artificial intelligence (theory) Algebra Linear control systems Control system analysis and synthesis methods Stability in control theory Multivariable control systems |
| url | https://doi.org/10.1049/cth2.12171 |
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