Observer-based Bounded Group Consensus Tracking for Hybrid Switched Multi-agent Systems

This paper deals with the observer-based bounded group consensus tracking problem for second-order hybrid switched multi-agent systems under impulsive effects. A dynamic model for hybrid switched multi-agent systems under impulsive effects is established, where each tracking agent can only obtain the position information of neighboring agents and the target. However, each tracking agent can not access the velocity information of neighboring agents and the target. To address the limitation of tracking agents in acquiring velocity information from neighboring agents and the target, this paper designs a state observer based on target acceleration and agent positions, providing velocity estimates of the target for the tracking agent＇s subgroup. Building upon this, a bounded group consensus tracking control strategy based on target velocity observers under impulsive effects is proposed. Through matrix theory and Hurwitz stability criteria, it is proven that the system achieves bounded group consensus tracking under this strategy. A simulation example validates the effectiveness of the proposed method.