Leader-Follower Weighted Consensus of Nonlinear Fractional-Order Multiagent Systems Using Current and Time Delay State Information
Liping Chen, Chuang Liu, Zhaobi Chu, António M. Lopes, YangQuan Chen
Abstract
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.