Distributed Optimization for Resource Allocation Problem with Dynamic Event-Triggered Strategy

Abstract

This study aims to unravel the resource allocation problem (RAP) by using a consensus-based distributed optimization algorithm under dynamic event-triggered (DET) strategies. Firstly, based on the multi-agent consensus approach, a novel one-to-all DET strategy is presented to solve the RAP. Secondly, the proposed one-to-all DET strategy is extended to a one-to-one DET strategy, where each agent transmits its state asynchronously to its neighbors. Furthermore, it is proven that the proposed two types of DET strategies do not have Zeno behavior. Finally, numerical simulations are provided to validate and illustrate the effectiveness of the theoretical results.

Distributed Adaptive Optimization Algorithm for Fractional High-Order Multiagent Systems Based on Event-Triggered Strategy and Input Quantization

“…Recently, a growing number of researchers are developing continuous-time algorithms for DOP due to its potential applications in MASs [11][12][13][14][15]. In [16], a distributed algorithm is developed to deal with the resource allocation problem by designing a dynamic event-triggered mechanism. On the basis of proportional integral technique, Ref.…”

“…Besides, each agent in the FOMASs is described by nonstrict-feedback MIMO dynamics, which is more general and complex to design the control protocol. (2) Different from [16][17][18][19][20][21][22][23][24][25][26], where the DOPs are investigated for first-order or secondorder MASs, this paper dedicates to solve the fractional high-order DOP, which means that MASs and the DOP in this paper are close to the engineering systems. Besides, the MASs in this paper includes nonlinear uncertain terms in each order.…”