|A New Approach to Distributed Control for Multi-agent Systems Based on Approximate Upper and Lower Bounds
Fangfang Zhang, Huanshui Zhang, Cheng Tan, Wei Wang, and Jinfeng Gao*
International Journal of Control, Automation, and Systems, vol. 15, no. 6, pp.2507-2515, 2017
Abstract : "In this paper, the distributed control of the LQR problem for continuous-time multi-agent systems is
considered. Based on the centralized optimal control, we prove that the solution of the algebraic Riccati equation
is the maximal solution of the algebraic Riccati inequality. The algebraic relations of the solutions of the algebraic
Riccati equations for different weighted matrices are shown and two distributed controllers are designed: the fully
distributed one and the interconnected distributed one. They can provide an upper bounds and a lower bounds of
the centralized optimal cost function. The optimal closed-loop feedback control systems for the two distributed
controllers are also asymptotically stable. Some examples are given to show the correctness of the proposed results."
"Distributed suboptimal control, fully distributed controller, interconnected distributed controller, multiagent systems."