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This paper investigates the distributed LQR problem for the scalar identical discrete-time multiple systems. Based on the optimal centralized control, the existence condition for the distributed optimal control is first proposed. It reveals that the globally optimal distributed controller is dependent on the structure of the penalty matrix related to the state. When the proposed condition cannot holds,...
This paper studies the distributed optimal control design problem for the continuous-time systems. We consider an identical decoupled dynamical equation of the multi-agent system and a coupled performance index which is described through the Laplacian matrix. Using the LQR method, the optimal feedback gain matrix is got. It is proved that the optimal feedback matrix corresponds to a complete undirected...
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