Payame Noor University (PNU) Control and Optimization in Applied Mathematics 2383-3130 9 1 2024 05 01 A Fuzzy Sliding Mode Control for Nonlinear Leader-Follower Multi-Agent Systems 1 34 9920 10.30473/coam.2023.64817.1209 EN Negar Izadi Department of Mathematics‎, ‎Faculty of Sciences‎, ‎University of Zanjan‎, P.O. Box 45371-38791, Zanjan, Iran Mohammad Taghi Dastjerdi Department of Mathematics‎, ‎Faculty of Sciences‎, ‎University of Zanjan‎, P.O. Box 45371-38791, Zanjan, Iran Journal Article 2022 07 17 In this paper‎, ‎we present a new approach for achieving leader-follower consensus in a network of nonlinear dynamic agents with an undirected graph topology‎, ‎using a fuzzy sliding mode controller (FSMC) for Multi-Agent Systems (MASs)‎. ‎Our proposed sliding mode controller is based on a separating hyperplane that effectively addresses the consensus problem in MASs‎. ‎Additionally‎, ‎we design a fuzzy controller to eliminate the chattering phenomenon‎. ‎According to the communication graph topology and the Lyapunov stability condition‎, ‎the proposed FSMC satisfies the consensus condition‎. ‎One significant advantage of our approach is that the system states converge to the sliding surface quickly and remain on the surface‎, ‎thereby ensuring better tracking performance‎. ‎We validate the effectiveness of our proposed approach through simulation results‎. https://mathco.journals.pnu.ac.ir/article_9920_68265e771ccc6d462f4cb2820b883299.pdf