IEEE Transactions on Automatic Control, Vol.66, No.1, 322-328, 2021
Distributed Optimal Control for Linear Multiagent Systems on General Digraphs
This article is concerned with the distributed optimal control of multiagent systems (MASs) with general linear dynamics. The cooperative tracking model consisting of multiple followers and one leader is constructed. Distributed optimal controllers are presented using the linear quadratic regulator, which guarantee the leader-following consensus of MASs and the optimization of global performance index. The global information of topology is unneeded for solutions of optimization equations. The topology graph is a general digraph, and the only requirement is that the digraph should contain a directed spanning tree. Numerical examples are finally reported to demonstrate the efficiency of presented approach.
Keywords:Topology;Optimal control;Optimization;Laplace equations;Performance analysis;Indexes;Protocols;Cooperative control;distributed optimal control;linear quadratic regulator (LQR);multiagent systems (MASs)