Adaptive Optimal 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.

Meeting Name

2018 IEEE Symposium Series on Computational Intelligence, SSCI 2018 (2018: Nov. 18-21, Bangalore, India)


Electrical and Computer Engineering


This research is funded in part by the intelligent systems center, Rolla, NSF ECCS #1406533 and CMMI #1547042.

Keywords and Phrases

Artificial intelligence; Computation theory; Controllers; Distributed parameter control systems; Dynamical systems; Game theory; Large scale systems; Linear control systems; Linear systems; Optimization; Adaptive optimal control; Distributed control schemes; Distributed controller; Linear dynamical systems; Nonzero-sum differential game; Optimization problems; System uncertainties; Temporal difference errors; Adaptive control systems

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Document Type

Article - Conference proceedings

Document Version


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© 2018 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Nov 2018