Dual Event-Triggered Constrained Control Through Adaptive Critic for Discrete-Time Zero-Sum Games

In this article, through adaptive critic, a dual event-triggered (DET) constrained control scheme is established for discrete-time nonlinear zero-sum games. The neural networks are trained from the dual heuristic dynamic programming technique to obtain the approximate optimal policy pair. Two corres...

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Bibliographic Details
Published in:IEEE transactions on systems, man, and cybernetics. Systems man, and cybernetics. Systems, 2023-03, Vol.53 (3), p.1584-1595
Main Authors: Wang, Ding, Hu, Lingzhi, Zhao, Mingming, Qiao, Junfei
Format: Article
Language:English
Subjects:
Actuators
Adaptive control
Adaptive systems
Algorithms
Control systems
Discrete-time nonlinear systems
dual event-triggered (DET) control
Dynamic programming
Games
iterative adaptive critic
Iterative methods
Neural networks
Numerical stability
optimal control
Stability analysis
Zero sum games
zero-sum games (ZSGs)
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Summary:In this article, through adaptive critic, a dual event-triggered (DET) constrained control scheme is established for discrete-time nonlinear zero-sum games. The neural networks are trained from the dual heuristic dynamic programming technique to obtain the approximate optimal policy pair. Two corresponding independent triggering conditions are constructed for the control input and the disturbance to improve the utilization efficiency and ensure the independence between them. In addition, in order to overcome the challenge caused by the actuator saturation, we constrain the control input to a bounded range. Meanwhile, the asymptotically stability is proved for the DET control system. Finally, experimental simulations are conducted to verify the effectiveness of the proposed algorithm.
ISSN:2168-2216
2168-2232
DOI:10.1109/TSMC.2022.3201671