Optimal Adaptive Distributed Control of Linear Interconnected Systems
In this paper, we present a distributed adaptive optimal control scheme for uncertain interconnected linear dynamical system using state and output feedback. The control policies at each of the distributed controllers are synthesized using a multi-player optimization problem via nonzero sum differential game theory. A novel adaptive observer, co-located with the distributed controller at each subsystem, is employed to reconstruct the augmented system internal states of the interconnected system. To accommodate the system uncertainties, an adaptive estimation scheme is proposed and the Nash equilibrium solution to the optimization problem is learned at each controller using the temporal difference error. The proposed distributed control scheme is employed in numerical simulations to regulate a network of ten interconnected linear systems and the results are presented to demonstrate the efficacy of the design.
V. Narayanan and A. Sahoo, "Optimal Adaptive Distributed Control of Linear Interconnected Systems," Proceedings of the IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning (2018, Bengaluru, India), Institute of Electrical and Electronics Engineers (IEEE), Nov 2018.
IEEE Symposium on Adaptive Dynamic Programming and Reinforcement Learning, ADPRL 2018 (2018: Nov. 18-21, Bengaluru, India)
Electrical and Computer Engineering
Intelligent Systems Center
Article - Conference proceedings
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21 Nov 2018