Distributed Optimal Output Feedback Control Of Heterogeneous Multi-Agent Systems Under A Directed Graph

In this paper, we consider distributed optimal feedback control design problem for a network of heterogeneous systems. The agents are coupled through their linear quadratic cost function and their interaction (communication) topology is given by a strongly connected directed graph. The goal is to design a distributed optimal feedback control which minimizes the total cost function in a distributed manner by only relying on the neighboring information of each agent. Moreover, the design of the optimal feedback control gain is also performed in a distributed manner by only relying on the neighboring information of each agent. To this end, firstly the necessary conditions are derived for the noninferior solution to the overall performance index. Then, by utilizing the idea of finite-time consensus algorithm, it is shown that the optimal feedback gain can also be computed in a distributed manner by the agents. Finally, we demonstrate the effectiveness of the proposed control law via a simulation on a group of heterogeneous dynamical systems