Fixed-Time Leader-Following Consensus Tracking Control for Nonliear Multi-Agent Systems under Jointly Connected Graph

Abstract

This paper researches the fixed-time leader-following consensus problem for nonlinear multi-agent systems (MASs) affected by unknown disturbances under the jointly connected graph. In order to achieve control goal, this paper designs a fixed-time consensus protocol, which can offset the unknown disturbances and the nonlinear item under the jointly connected graph, simultaneously. In this paper, the states of multiple followers can converge to the state of the leader within a fixed time regardless of the initial conditions rather than just converging to a small neighborhood near the leader state. Finally, a simulation example is given to illustrate the theoretical result.

Fully Distributed, Event-Triggered Containment Control of Multi-Agent Systems Based on Wireless Sensor Networks and Time Base Generators

“…The event-triggered controller utilizing sliding mode control technology was suggested in reference [27] in order to achieve the timing consensus of the leader polling multi-agent system. A high-order leader-follower multi-agent system's fixed-time technique was examined in reference [28] to assess the leadership state and arrive at a tracking consensus simultaneously, and reference [29] further discussed how to implement the fixed-time strategy in the face of unknown interference. In reference [30], the weighted directed topology-based fixed-time consistent tracking control issue of secondorder multi-agent systems with bounded input uncertainty was examined.…”

Consensus-Related Performance of Triplex MASs Based on Partial Complete Graph Structure

“…As a significant interdisciplinary field, consensus-related research has received much attention from both engineers and scholars in the past two decades, and there exist many applications or research works on the consensus problem, for instances, formation control, sensor networks, decision making, and so on. Scholars have conducted significant valuable research on consensus from various aspects, such as the order of system (first or second order [ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8 , 9 , 10 , 11 , 12 , 13 , 14 , 15 , 16 , 17 , 18 , 19 ]), ways of communication (continuous or intermittent [ 4 , 7 ], control methods (adaptive control [ 5 ], intermittent control [ 7 ], sliding mode control [ 19 ]), convergence time (finite time or fixed time [ 6 , 8 ]) and so on.…”