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2022, Volume 23, Issue 7

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Frontiers of Information Technology & Electronic Engineering >> 2022, Volume 23, Issue 7 doi: 10.1631/FITEE.2200010

Optimal synchronization control for multi-agent systems with input saturation: a nonzero-sum game

Affiliation(s): School of Artificial Intelligence, University of Chinese Academy of Sciences, Beijing 100049, China; The State Key Laboratory for Management and Control of Complex Systems, Institute of Automation, Chinese Academy of Sciences, Beijing 100190, China; Institute of Systems Engineering, Macau University of Science and Technology, Macau 999078, China; less

Received: 2022-01-14 Accepted: 2022-07-21 Available online: 2022-07-21
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Abstract

This paper presents a novel method for with . The multi-agent game theory is introduced to transform the problem into a multi-agent . Then, the Nash equilibrium can be achieved by solving the coupled Hamilton–Jacobi–Bellman (HJB) equations with nonquadratic input energy terms. A novel method is presented to obtain the Nash equilibrium solution without the system models, and the critic neural networks (NNs) and actor NNs are introduced to implement the presented method. Theoretical analysis is provided, which shows that the iterative control laws converge to the Nash equilibrium. Simulation results show the good performance of the presented method.

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