Approximate Optimal Distributed Control of Nonlinear Interconnected Systems using Event-Triggered Nonzero-Sum Games
In this paper, approximate optimal distributed control schemes for a class of nonlinear interconnected systems with strong interconnections are presented using continuous and event-sampled feedback information. The optimal control design is formulated as an N-player nonzero-sum game where the control policies of the subsystems act as players. An approximate Nash equilibrium solution to the game, which is the solution to the coupled Hamilton-Jacobi equation, is obtained using the approximate dynamic programming-based approach. A critic neural network (NN) at each subsystem is utilized to approximate the Nash solution and novel event-sampling conditions, that are decentralized, are designed to asynchronously orchestrate the sampling and transmission of state vector at each subsystem. To ensure the local ultimate boundedness of the closed-loop system state and NN parameter estimation errors, a hybrid-learning scheme is introduced and the stability is guaranteed using Lyapunov-based stability analysis. Finally, implementation of the proposed event-based distributed control scheme for linear interconnected systems is discussed. For completeness, Zeno-free behavior of the event-sampled system is shown analytically and a numerical example is included to support the analytical results.
V. Narayanan et al., "Approximate Optimal Distributed Control of Nonlinear Interconnected Systems using Event-Triggered Nonzero-Sum Games," IEEE Transactions on Neural Networks and Learning Systems, vol. 30, no. 5, pp. 1512-1522, Institute of Electrical and Electronics Engineers (IEEE), May 2019.
The definitive version is available at https://doi.org/10.1109/TNNLS.2018.2869896
Electrical and Computer Engineering
Intelligent Systems Center
Keywords and Phrases
Closed loop systems; Cost functions; Decentralized control; Distributed parameter control systems; Dynamic programming; Large scale systems; Adaptive dynamic programming (ADP); Event-triggered controls; Games; Nonzero sum (NZS) game; Optimal controls; Performance analysis; Adaptive control systems; Interconnected systems
International Standard Serial Number (ISSN)
Article - Journal
© 2019 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
01 May 2019