Distributed Hybrid Control for Heterogeneous Multiagent Systems With Variable Communication Delays and Its Application to DC Microgrids
Shuangye Mo, Wu‐Hua Chen, Wei Xing Zheng
Abstract
This article aims to address the multiobjective scaled consensus problem for a class of heterogeneous multiagent systems (MASs) with communication delays: 1) a distributed hybrid control strategy is proposed which only requires local communication between neighbors to solve the consensus problem; 2) in order to overcome the technical difficulties caused by communication delays, a novel augmentation method is presented to model the error system with communication delays as a delay-free error system. A switching-based time-varying Lyapunov function is introduced to deal with switching impulses of the augmented system; 3) as an application of the proposed distributed control scheme, a new algorithm for designing the hybrid secondary control of the DC microgrid against communication delays is derived; and 4) the effectiveness of the proposed control scheme is illustrated by numerical examples and several case studies in islanded DC microgrid.