Leader-Follower Weighted Consensus of Nonlinear Fractional-Order Multiagent Systems Using Current and Time Delay State Information
研究了一类带有时变参数不确定性和时滞的非线性分数阶多智能体系统的领导者-跟随者加权一致性控制问题，提出了基于当前和时滞状态信息的加权一致性协议，并利用线性矩阵不等式和分数阶Razumikhin定理得到了低保守性的充分条件。
This article studies the leader-follower weighted consensus control for a class of one-sided Lipschitz (OSL) nonlinear fractional-order (FO) multiagent systems (FOMASs) with norm-bounded time-varying parametric uncertainty and time delay. First, it addresses a more complex nonlinear form, known as the OSL nonlinearity condition, which has recently been frequently used in the control field. Second, the weighted consensus protocol is achieved using the current and time delay state information of the FOMASs, which guarantees accurate control and fast convergence speed. Third, new low-conservative sufficient conditions for asymptotic convergence and stability are obtained, using the linear matrix inequality (LMI) approach and the FO Razumikhin theorem. Further, order- and delay-dependent consensus protocol for the leader-follower OSL FOMASs is achieved, with design parameters being easily computed by solving LMI constraints. Finally, three simulation examples are studied to demonstrate the effectiveness and feasibility of the new control scheme. The new LMI-based condition is less conservative, is applicable to both Lipschitz nonlinear FOMASs and linear FOMASs, and the control protocol is more universal compared to those proposed in the existing literature.