101. Internal reinforcement adaptive dynamic programming for optimal containment control of unknown continuous-time multi-agent systems
- Author
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Yiyi Zhao, Zhinan Peng, Jiefu Zhang, Bijoy K. Ghosh, Jiangping Hu, and Rui Luo
- Subjects
0209 industrial biotechnology ,Artificial neural network ,Computer science ,Cognitive Neuroscience ,Multi-agent system ,Stability (learning theory) ,Process (computing) ,02 engineering and technology ,Optimal control ,Computer Science Applications ,Dynamic programming ,020901 industrial engineering & automation ,Artificial Intelligence ,Control theory ,0202 electrical engineering, electronic engineering, information engineering ,020201 artificial intelligence & image processing ,Reinforcement - Abstract
In this paper, a novel control scheme is developed to solve an optimal containment control problem of unknown continuous-time multi-agent systems. Different from traditional adaptive dynamic programming (ADP) algorithms, this paper proposes an internal reinforcement ADP algorithm (IR-ADP), in which the internal reinforcement signals are added in order to facilitate the learning process. Then a distributed containment control law is designed for each agent with the internal reinforcement signal. The convergence of this IR-ADP algorithm and the stability of the closed-loop multi-agent system are analyzed theoretically. For the implementation of the optimal controllers, three neural networks (NNs), namely internal reinforcement NNs, critic NNs and actor NNs, are utilized to approximate the internal reinforcement signals, the performance indices and optimal control laws, respectively. Finally, some simulation results are provided to demonstrate the effectiveness of the proposed algorithm.
- Published
- 2020