Impulsive Consensus of Fractional-Order Takagi–Sugeno Fuzzy Multiagent Systems With Average Dwell Time Approach and Its Applications: Achieving Finite-Time Consensus

Abstract

The Takagi–Sugeno (T–S) fuzzy-based impulsive consensus problem of a fractional-order multiagent system (FOMAS) with an average dwell time (ADT) is investigated. FOMASs are nonlinear systems, and they are modeled as linear subsystems using a T–S fuzzy model. We study a T–S fuzzy FOMAS subject to a class of impulse time sequences with the ADT approach. In this article, an impulsive control scheme is proposed to make the tracking error converge in a finite-time consensus into a small neighborhood of origin. Based on impulsive fractional differential equations theory, the Lyapunov functional approach, and the ADT technique, an impulsive controller is designed to achieve finite-time consensus of a T–S fuzzy FOMAS. Finally, through numerical as well as practical examples, the effectiveness and superiority of the proposed approach are validated.