Consensus control for multi-rate multi-agent systems with fading measurements: the dynamic event-triggered case

• Published in: Systems science & control engineering Vol. 11; no. 1
• Main Authors: Han, Fei, Liu, Jianhua, Li, Jiahui, Song, Jinbo, Wang, Mei, Zhang, Yong
• Format: Journal Article
• Language: English
• Published: Macclesfield Taylor & Francis 31.12.2023; Taylor & Francis Ltd; Taylor & Francis Group
• Subjects: channel fading measurement; Closed loops; Communication; consensus control; Control algorithms; Control systems design; Controllers; dynamic event-triggered mechanism; Engineering; Fading; Feedback control; Investigations; Linear matrix inequalities; Mathematical analysis; Multi-agent systems; multi-rate sampling; Multiagent systems; Open access publishing
• ISSN: 2164-2583; 2164-2583
• DOI: 10.1080/21642583.2022.2158959

This paper studies the distributed -consensus control problem for a class of multi-rate multi-agent systems with fading measurements. A multi-rate sampling strategy is adopted to be more in line with actual need and the channels between each agent and its sensor always fade non-identically. The multi-rate system is transformed into a single-rate system via the lifting technique. For the purpose of reducing the transmission burden, a dynamic event-triggered mechanism is utilized to determine whether the agent's information is allowed to transmit to its neighbours. This paper aims to design an observer-based event-triggered controller for each agent to achieve the -consensus control performance constraint. With the help of the Lyapuonv stability theory, sufficient conditions are obtained that can ensure the desired control performance for the resulting closed-loop systems, and then the desired gain matrices are calculated by solving the linear matrix inequality. Finally, a numerical simulation example is given to demonstrate the effectiveness of the distributed event-triggered consensus control scheme.