Consensus control for multi-rate multi-agent systems with fading measurements: the dynamic event-triggered case. Issue 1 (31st December 2023)

• Record Type: Journal Article
• Authors: Han, Fei; Liu, Jianhua; Li, Jiahui; Song, Jinbo; Wang, Mei; Zhang, Yong
• Is Part Of: Systems science & control engineering. Volume 11:Issue 1(2023)
• Publication Date: 2023-12-31
• Subjects: Multi-agent systems -- multi-rate sampling -- dynamic event-triggered mechanism -- channel fading measurement -- H∞-consensus control; System theory -- Periodicals; Automatic control -- Periodicals; 003.05
• DOI: 10.1080/21642583.2022.2158959
• Languages: English
• ISSNs: 2164-2583

Abstract

Abstract : This paper studies the distributed H ∞ -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 H ∞ -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.