Leader-Follower Consensus of Second-Order Multiagent Systems with Absent Velocity Measurement and Time Delay. (8th October 2018)

• Record Type: Journal Article
• Authors: Yang, Panpan; Tang, Ye; Yan, Maode; Zuo, Lei
• Other Names: Anita Sebastian Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-10-08
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/3079868
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The leader-follower consensus problem of second-order multiagent systems with both absent velocity measurement and time delay is considered. First of all, the consensus protocol is designed by introducing an auxiliary system to compensate for the unavailability of the velocity information. Then, time delay is incorporated into the consensus protocol and two cases with, respectively, constant time delay and time-varying delay are investigated. For the case of constant time delay, Lyapunov-Razumikhin theorem is deployed to obtain the sufficient conditions that guarantee the stability of the consensus algorithm. For the case of time-varying delay, the sufficient conditions are also derived by resorting to the Lyapunov-Razumkhin theorem and linear matrix inequalities (LMIs). Various numerical simulations demonstrate the correctness of the theoretical results.