Delay-dependent admissible output consensus for singular multi-agent systems

Admissible output consensus problems for high-order linear singular multi-agent systems with time delays are investigated. Firstly, a dynamic output feedback consensus protocol is proposed based on the observability decomposition, which makes singular multi-agent systems satisfy some separation principle. Then, sufficient conditions for admissible output consensualization are presented in terms of LMIs, which can directly guarantee the regular and impulse-free properties of singular multi-agent systems. Moreover, an approach to determine the output consensus function is presented by the first equivalent form and the impacts of initial states of consensus protocols and dynamic agents are determined, respectively. Finally, a numerical example is shown to demonstrate theoretical results.