Limited-budget output consensus for descriptor multiagent systems with energy constraints

TL;DR

This paper develops a control protocol for multiagent systems with energy constraints and switching communication topologies, ensuring output consensus under limited budgets through a novel two-step gain design approach.

Contribution

It introduces a new singular dynamic output feedback control protocol that accounts for energy constraints and switching topologies in multiagent systems.

Findings

Proposed a two-step gain matrix design method.

Derived sufficient conditions for output consensus.

Validated results with numerical simulations.

Abstract

The current paper deals with limited-budget output consensus for descriptor multiagent systems with two types of switching communication topologies; that is, switching connected ones and jointly connected ones. Firstly, a singular dynamic output feedback control protocol with switching communication topologies is proposed on the basis of the observable decomposition, where an energy constraint is involved and protocol states of neighboring agents are utilized to derive a new two-step design approach of gain matrices. Then, limited-budget output consensus problems are transformed into asymptotic stability ones and a valid candidate of the output consensus function is determined. Furthermore, sufficient conditions for limited-budget output consensus design for two types of switching communication topologies are proposed, respectively. Finally, two numerical simulations are shown to demonstrate theoretical conclusions.