Adaptive Dynamic Event-Triggered-Based Practical Fixed-Time Optimal Consensus of Multiagent Systems

This article investigates the practical fixed-time optimal consensus problem for multiagent systems (MASs). Under the detailed balanced digraph, a controller with tangent function is constructed so that the MASs can reach consensus within a fixed time and then gradually converges to the global optimal solution on the basis of reaching stability. Besides, an important lemma about hyperbolic tangent function is derived to contribute to the stability analysis. In the process, an adaptive dynamic event-triggered mechanism (ADETM), including anti-cotangent function, is constructed to achieve the number of controller updates is significantly reduced. Eventually, the validity of the consensus control method proposed in this article is verified by a numerical simulation and a power system simulation.