Admissible output consensualization control for singular multi-agent systems with time delays

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