Approximate Optimal Distributed Control of Nonlinear Interconnected Systems using Nonzero-Sum Games


In this paper, continuous and event-sampled approximate optimal distributed control schemes for an interconnected system, with nonlinear subsystem dynamics and strong interconnections, are presented. The control design problem for the interconnected system is reformulated as an N-player cooperative nonzero-sum differential game wherein the control policy of each subsystem is treated as a player in the game. The Nash solution of this game is used to design the control policy for each subsystem to optimize the performance of the interconnected system. Approximate dynamic programming (ADP), with critic neural networks, is utilized to approximate the solutions of the coupled Hamilton-Jacobi equations, for continuous and event-sampled control implementation. Event-sampling conditions are designed to asynchronously orchestrate the sampling and transmission at each subsystem. Finally, simulation results are included to substantiate the theoretical claims.

Meeting Name

2018 IEEE Conference on Decision and Control, CDC 2018 (2018: Dec. 17-19, Miami Beach, FL)


Electrical and Computer Engineering

Research Center/Lab(s)

Intelligent Systems Center


This research is funded in part by the intelligent systems center, Rolla, NSF ECCS #1406533, CMMI #1547042, and start-up fund Oklahoma State University.

Keywords and Phrases

Distributed parameter control systems; Large scale systems; Approximate dynamic programming; Control implementation; Distributed control; Distributed control schemes; Hamilton - Jacobi equations; Nonlinear interconnected systems; Nonlinear subsystems; Nonzero-sum differential game; Dynamic programming

International Standard Book Number (ISBN)


International Standard Serial Number (ISSN)

2576-2370; 0743-1546

Document Type

Article - Conference proceedings

Document Version


File Type





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

Publication Date

01 Dec 2018