Event-Triggered <italic>H<sub>∞</sub></italic> Consensus of Leader-Follower Multi-Agent Systems Under ADT Switching Topologies
This paper is concerned with the <inline-formula> <tex-math notation="LaTeX">${\mathcal {H}}_{\infty }$ </tex-math></inline-formula> control problem of leader-follower multi-agent systems under switching topology. The switching between the topologies is assumed to s...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
IEEE
2025-01-01
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| Series: | IEEE Access |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/11073560/ |
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| Summary: | This paper is concerned with the <inline-formula> <tex-math notation="LaTeX">${\mathcal {H}}_{\infty }$ </tex-math></inline-formula> control problem of leader-follower multi-agent systems under switching topology. The switching between the topologies is assumed to satisfy an average dwell time constraint. Considering the time delay introduced by sampling, a time-delay error system is established. To conserve bandwidth resources, an event-triggered approach is employed. By constructing a Lyapunov-Krasovskii functional, a sufficient condition for the exponential stability of the switching time-delay error system under average dwell time is provided in the form of Linear matrix inequalities. Then, an <inline-formula> <tex-math notation="LaTeX">${\mathcal {H}}_{\infty }$ </tex-math></inline-formula> controller is designed to guarantee both exponential stability and <inline-formula> <tex-math notation="LaTeX">${\mathcal {H}}_{\infty }$ </tex-math></inline-formula> performance of the time-delay error system. Furthermore, the effects of sampling time and the threshold of the event-triggered mechanism on <inline-formula> <tex-math notation="LaTeX">${\mathcal {H}}_{\infty }$ </tex-math></inline-formula> performance are discussed. Finally, a numerical example demonstrates the effectiveness of the proposed approach. |
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| ISSN: | 2169-3536 |