Distributed optimal control of multiple systems. (English) Zbl 1213.49043
Summary: This article considers distributed optimal control of multiple linear systems. Distributed approximately optimal controllers are proposed for each system with the aid of communications between systems. The proposed controllers assure that the states of the closed-loop systems exponentially converge to the states of the closed-loop systems with the centralised optimal controllers if the communication digraph is strongly connected. If the communication digraph is switching and there are communication delays, the proposed controllers also make the states of the closed-loop systems exponentially converge to the states of the closed-loop systems with the centralised optimal controllers. Simulation results show the effectiveness of the proposed controllers.
MSC:
| 49N35 | Optimal feedback synthesis |
| 93C05 | Linear systems in control theory |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
| 93A14 | Decentralized systems |
Keywords:
optimal control; distributed control; linear systems; consensus algorithms; cooperative controlReferences:
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