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Author:

Liu, A. (Liu, A..) | Wang, D. (Wang, D..) | Li, M. (Li, M..)

Indexed by:

EI Scopus

Abstract:

This paper investigates robust control problems of nonlinear continuous-time multiplayer systems with infinite horizon by utilizing adaptive dynamic programming algorithms. Combined with pre-training, an improved policy iteration (PI) algorithm is developed to solve robust control issues of multiplayer nonzero-sum (NZS) games with actuator uncertainties. Pre-training of initial weights is added to the PI algorithm to relax the requirement of the initial admissible control policy. It implies that the admissible control pair can be obtained by pre-training of initial weights given randomly. Then, critic neural networks (NNs) are utilized to approximate the optimal control pair by applying the PI algorithm. Robust controllers can be obtained by modifying the optimal control pair. The algorithm accomplishes robust stabilization of multiplayer NZS games with uncertainties. Besides, initial weights of NNs can be set arbitrarily. Finally, a simulation example is given to demonstrate the effectiveness of the developed algorithm. © 2023 Technical Committee on Control Theory, Chinese Association of Automation.

Keyword:

Multiplayer nonzero-sum games Optimal control Policy iteration Robust control Adaptive dynamic programming

Author Community:

  • [ 1 ] [Liu A.]Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
  • [ 2 ] [Liu A.]Beijing University of Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing, 100124, China
  • [ 3 ] [Liu A.]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, 100124, China
  • [ 4 ] [Liu A.]Beijing University of Technology, Beijing Laboratory of Smart Environmental Protection, Beijing, 100124, China
  • [ 5 ] [Wang D.]Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
  • [ 6 ] [Wang D.]Beijing University of Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing, 100124, China
  • [ 7 ] [Wang D.]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, 100124, China
  • [ 8 ] [Wang D.]Beijing University of Technology, Beijing Laboratory of Smart Environmental Protection, Beijing, 100124, China
  • [ 9 ] [Li M.]Faculty of Information Technology, Beijing University of Technology, Beijing, 100124, China
  • [ 10 ] [Li M.]Beijing University of Technology, Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing, 100124, China
  • [ 11 ] [Li M.]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing, 100124, China
  • [ 12 ] [Li M.]Beijing University of Technology, Beijing Laboratory of Smart Environmental Protection, Beijing, 100124, China

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Source :

ISSN: 1934-1768

Year: 2023

Volume: 2023-July

Page: 2270-2275

Language: English

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 5

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