Agent‐based time delay margin in consensus of multi‐agent systems by an event‐triggered control method: Concept and computation. Issue 3 (29th March 2022)

• Record Type: Journal Article
• Authors: Hosseini, Seyed Hamid; Tavazoei, Mohammad Saleh; Kuznetsov, Nikolay V.
• Is Part Of: Asian journal of control. Volume 25:Issue 3(2023)
• Page Start: 1866
• Page End: 1876
• Publication Date: 2022-03-29
• Subjects: consensus -- event‐triggered control -- multi‐agent systems -- time delay margin; Automatic control -- Periodicals; Control theory -- Periodicals; 629.805
• DOI: 10.1002/asjc.2814
• Languages: English
• ISSNs: 1561-8625

Abstract

Abstract: This paper deals with defining the concept of agent‐based time delay margin and computing its value in multi‐agent systems controlled by event‐triggered based controllers. The agent‐based time delay margin specifying the time delay tolerance of each agent for ensuring consensus in event‐triggered controlled multi‐agent systems can be considered as complementary for the concept of (network) time delay margin, which has been previously introduced in some literature. In this paper, an event‐triggered control method for achieving consensus in multi‐agent systems with time delay is considered. It is shown that the Zeno behavior is excluded by applying this method. Then, in a multi‐agent system controlled by the considered event‐triggered method, the concept of agent‐based time delay margin in the presence of a fixed network delay is defined. Moreover, an algorithm for computing the value of the time delay margin for each agent is proposed. Numerical simulation results are also provided to verify the obtained theoretical results.