<i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach
The paper presents an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type control procedure...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-11-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/12/1734 |
| _version_ | 1797459328615055360 |
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| author | Adrian-Mihail Stoica Serena Cristiana Stoicu |
| author_facet | Adrian-Mihail Stoica Serena Cristiana Stoicu |
| author_sort | Adrian-Mihail Stoica |
| collection | DOAJ |
| description | The paper presents an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type control procedure for multi-agent systems taking into account possible data dropout in the communication network. The data dropout is modelled using a standard homogeneous Markov chain leading to an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type control problem for stochastic multi-agent systems with Markovian jumps. The considered <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type criterion includes, besides the components corresponding to the attenuation condition of exogenous disturbance inputs, quadratic terms aiming to acquire the consensus between the agents. It is shown that in the case of identical agents, a state-feedback controller with Markov parameters may be determined solving two specific systems of Riccati equations whose dimension does not depend on the number of agents. Iterative procedures to solve such systems are also presented together with an illustrative numerical example. |
| first_indexed | 2024-03-09T16:49:52Z |
| format | Article |
| id | doaj.art-68a639f264834070ac9da22561ed3128 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T16:49:52Z |
| publishDate | 2022-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-68a639f264834070ac9da22561ed31282023-11-24T14:42:02ZengMDPI AGEntropy1099-43002022-11-012412173410.3390/e24121734<i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian ApproachAdrian-Mihail Stoica0Serena Cristiana Stoicu1Faculty of Aerospace Engineering, University Politehnica of Bucharest, 011061 Bucharest, RomaniaFaculty of Aerospace Engineering, University Politehnica of Bucharest, 011061 Bucharest, RomaniaThe paper presents an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type control procedure for multi-agent systems taking into account possible data dropout in the communication network. The data dropout is modelled using a standard homogeneous Markov chain leading to an <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type control problem for stochastic multi-agent systems with Markovian jumps. The considered <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msub><mi>H</mi><mo>∞</mo></msub></semantics></math></inline-formula> type criterion includes, besides the components corresponding to the attenuation condition of exogenous disturbance inputs, quadratic terms aiming to acquire the consensus between the agents. It is shown that in the case of identical agents, a state-feedback controller with Markov parameters may be determined solving two specific systems of Riccati equations whose dimension does not depend on the number of agents. Iterative procedures to solve such systems are also presented together with an illustrative numerical example.https://www.mdpi.com/1099-4300/24/12/1734multi-agent systems<i>H<sub>∞</sub></i> type controldata packet dropoutMarkovian modelscoupled algebraic Riccati equationsiterative numerical methods |
| spellingShingle | Adrian-Mihail Stoica Serena Cristiana Stoicu <i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach Entropy multi-agent systems <i>H<sub>∞</sub></i> type control data packet dropout Markovian models coupled algebraic Riccati equations iterative numerical methods |
| title | <i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach |
| title_full | <i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach |
| title_fullStr | <i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach |
| title_full_unstemmed | <i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach |
| title_short | <i>H</i><sub>∞</sub> State-Feedback Control of Multi-Agent Systems with Data Packet Dropout in the Communication Channels: A Markovian Approach |
| title_sort | i h i sub ∞ sub state feedback control of multi agent systems with data packet dropout in the communication channels a markovian approach |
| topic | multi-agent systems <i>H<sub>∞</sub></i> type control data packet dropout Markovian models coupled algebraic Riccati equations iterative numerical methods |
| url | https://www.mdpi.com/1099-4300/24/12/1734 |
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