Cooperative fault-tolerant tracking control for multi-agent systems: A multiple description encoding scheme
In this article, the cooperative fault-tolerant tracking control (FTTC) is investigated for discrete-time multi-agent systems (MASs) with time-varying delays (TVDs) under multiple description encoding schemes (MDESs). First, a uniform channel model is proposed to describe the employed MDES subject t...
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| Published in | Applied mathematics and computation Vol. 462; p. 128337 |
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| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Inc
01.02.2024
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| Subjects | |
| Online Access | Get full text |
| ISSN | 0096-3003 1873-5649 |
| DOI | 10.1016/j.amc.2023.128337 |
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| Abstract | In this article, the cooperative fault-tolerant tracking control (FTTC) is investigated for discrete-time multi-agent systems (MASs) with time-varying delays (TVDs) under multiple description encoding schemes (MDESs). First, a uniform channel model is proposed to describe the employed MDES subject to the effect of packet dropouts by introducing two independent random variables obeying the Bernoulli distribution and three indicator variables. Subsequently, a novel intermediate estimator is designed to estimate both system states and a fictitious intermediate variable (an integration of faults and leader's inputs) based on relatively measured outputs. In terms of the Lyapunov stability theory, some sufficient conditions are acquired to guarantee that the closed-loop system is exponentially ultimately bounded in the mean-square sense. Furthermore, the desired gain matrices are obtained by resorting to both the graph feature and singular value decomposition. Finally, the effectiveness and superiority are tested by two simulation examples for the proposed tracking protocol.
•An intermediate estimator by introducing intermediate variables is designed to estimate system states and all unknown input signals.•Some sufficient conditions are obtained such that tracking errors of MASs with MDESs achieve exponentially ultimate boundedness.•The desired gain matrices are obtained by resorting to the graph feature and singular value decomposition. |
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| AbstractList | In this article, the cooperative fault-tolerant tracking control (FTTC) is investigated for discrete-time multi-agent systems (MASs) with time-varying delays (TVDs) under multiple description encoding schemes (MDESs). First, a uniform channel model is proposed to describe the employed MDES subject to the effect of packet dropouts by introducing two independent random variables obeying the Bernoulli distribution and three indicator variables. Subsequently, a novel intermediate estimator is designed to estimate both system states and a fictitious intermediate variable (an integration of faults and leader's inputs) based on relatively measured outputs. In terms of the Lyapunov stability theory, some sufficient conditions are acquired to guarantee that the closed-loop system is exponentially ultimately bounded in the mean-square sense. Furthermore, the desired gain matrices are obtained by resorting to both the graph feature and singular value decomposition. Finally, the effectiveness and superiority are tested by two simulation examples for the proposed tracking protocol.
•An intermediate estimator by introducing intermediate variables is designed to estimate system states and all unknown input signals.•Some sufficient conditions are obtained such that tracking errors of MASs with MDESs achieve exponentially ultimate boundedness.•The desired gain matrices are obtained by resorting to the graph feature and singular value decomposition. |
| ArticleNumber | 128337 |
| Author | Ju, Yamei Liu, Hongjian Ding, Derui Wang, Xi |
| Author_xml | – sequence: 1 givenname: Xi surname: Wang fullname: Wang, Xi organization: Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China – sequence: 2 givenname: Yamei orcidid: 0000-0001-6412-5572 surname: Ju fullname: Ju, Yamei email: juyamei1990@usst.edu.cn organization: Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China – sequence: 3 givenname: Derui surname: Ding fullname: Ding, Derui organization: Department of Control Science and Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China – sequence: 4 givenname: Hongjian surname: Liu fullname: Liu, Hongjian organization: School of Mathematics and Physics, Anhui Polytechnic University, Wuhu 241000, China |
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| Keywords | Intermediate estimators Fault-tolerant tracking control Cooperative control Multiple description encoding schemes Multi-agent systems |
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| SubjectTerms | Cooperative control Fault-tolerant tracking control Intermediate estimators Multi-agent systems Multiple description encoding schemes |
| Title | Cooperative fault-tolerant tracking control for multi-agent systems: A multiple description encoding scheme |
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