Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies
Abstract This paper addresses the consensus problem of semi‐Markov multi‐agent systems, where the topology switching is stochastically unmatched to the original switching. The unmatched property is described by a stochastically conditional probability and quantized by a given transition probability...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-04-01
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| Series: | IET Control Theory & Applications |
| Subjects: | |
| Online Access: | https://doi.org/10.1049/cth2.12098 |
| _version_ | 1818041181939957760 |
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| author | Guoliang Wang Yifan Huang Xiaoqiang Wang |
| author_facet | Guoliang Wang Yifan Huang Xiaoqiang Wang |
| author_sort | Guoliang Wang |
| collection | DOAJ |
| description | Abstract This paper addresses the consensus problem of semi‐Markov multi‐agent systems, where the topology switching is stochastically unmatched to the original switching. The unmatched property is described by a stochastically conditional probability and quantized by a given transition probability density function (PDF). Then a consensus protocol based on the aforementioned topology is proposed and includes mode‐dependent and ‐independent control inputs as special cases. Based on the Lyapunov function approach and some enlarging techniques, sufficient LMI conditions are presented to solve the controller directly. All the features such as conditional probability, dwell time and transition probability are involved. An improved method but needing nonsingular expectation of the truncated PDF matrix is also proposed. A practical example is offered so as to verify the effectiveness and superiority of the methods proposed in this study. |
| first_indexed | 2024-12-10T08:26:21Z |
| format | Article |
| id | doaj.art-d480e1a6e404436489e51a11be871471 |
| institution | Directory Open Access Journal |
| issn | 1751-8644 1751-8652 |
| language | English |
| last_indexed | 2024-12-10T08:26:21Z |
| publishDate | 2021-04-01 |
| publisher | Wiley |
| record_format | Article |
| series | IET Control Theory & Applications |
| spelling | doaj.art-d480e1a6e404436489e51a11be8714712022-12-22T01:56:14ZengWileyIET Control Theory & Applications1751-86441751-86522021-04-011571003101710.1049/cth2.12098Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologiesGuoliang Wang0Yifan Huang1Xiaoqiang Wang2School of Information and Control Engineering Liaoning Petrochemical University Fushun Liaoning ChinaSchool of Information and Control Engineering Liaoning Petrochemical University Fushun Liaoning ChinaApplied Mathematics Department The Hong Kong Polytechnic University Hong Kong ChinaAbstract This paper addresses the consensus problem of semi‐Markov multi‐agent systems, where the topology switching is stochastically unmatched to the original switching. The unmatched property is described by a stochastically conditional probability and quantized by a given transition probability density function (PDF). Then a consensus protocol based on the aforementioned topology is proposed and includes mode‐dependent and ‐independent control inputs as special cases. Based on the Lyapunov function approach and some enlarging techniques, sufficient LMI conditions are presented to solve the controller directly. All the features such as conditional probability, dwell time and transition probability are involved. An improved method but needing nonsingular expectation of the truncated PDF matrix is also proposed. A practical example is offered so as to verify the effectiveness and superiority of the methods proposed in this study.https://doi.org/10.1049/cth2.12098AlgebraMarkov processesCombinatorial mathematicsStability in control theoryMultivariable control systemsTime-varying control systems |
| spellingShingle | Guoliang Wang Yifan Huang Xiaoqiang Wang Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies IET Control Theory & Applications Algebra Markov processes Combinatorial mathematics Stability in control theory Multivariable control systems Time-varying control systems |
| title | Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies |
| title_full | Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies |
| title_fullStr | Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies |
| title_full_unstemmed | Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies |
| title_short | Consensus of semi‐Markov multi‐agent systems with stochastically unmatched topologies |
| title_sort | consensus of semi markov multi agent systems with stochastically unmatched topologies |
| topic | Algebra Markov processes Combinatorial mathematics Stability in control theory Multivariable control systems Time-varying control systems |
| url | https://doi.org/10.1049/cth2.12098 |
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