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Author:

Li, Menghua (Li, Menghua.) | Wang, Ding (Wang, Ding.) | Qiao, Junfei (Qiao, Junfei.) | Xu, Xin (Xu, Xin.)

Indexed by:

EI Scopus

Abstract:

In this paper, we adopt a neural-network-based adaptive dynamic programming (ADP) method to solve the disturbance rejection problem for continuous-time nonlinear systems with control constraints. First, we define a suitable function and then derive the optimal control law with control constraints and the worst disturbance law. Besides, the constrained Hamilton-Jacobi-Isaacs equation for continuous-time nonlinear constrained systems is derived. Then, only one critic neural network is used to approximate the optimal cost function. Consequently, the approximate optimal control law and the approximate worst disturbance law are obtained. Additionally, a new updating rule is developed in the process of neural critic learning. Finally, the simulation results show that the self-learning optimal control is realized and the effectiveness of the disturbance rejection is verified by using the neural-network-based ADP method. © 2021 Technical Committee on Control Theory, Chinese Association of Automation.

Keyword:

Cost functions Nonlinear equations Dynamic programming Disturbance rejection Adaptive control systems Continuous time systems Learning systems

Author Community:

  • [ 1 ] [Li, Menghua]Beijing University of Technology, Faculty of Information Technology, Beijing; 100124, China
  • [ 2 ] [Li, Menghua]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Li, Menghua]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China
  • [ 4 ] [Wang, Ding]Beijing University of Technology, Faculty of Information Technology, Beijing; 100124, China
  • [ 5 ] [Wang, Ding]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 6 ] [Wang, Ding]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China
  • [ 7 ] [Qiao, Junfei]Beijing University of Technology, Faculty of Information Technology, Beijing; 100124, China
  • [ 8 ] [Qiao, Junfei]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 9 ] [Qiao, Junfei]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China
  • [ 10 ] [Xu, Xin]Beijing University of Technology, Faculty of Information Technology, Beijing; 100124, China
  • [ 11 ] [Xu, Xin]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 12 ] [Xu, Xin]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China

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Source :

ISSN: 1934-1768

Year: 2021

Volume: 2021-July

Page: 2179-2184

Language: English

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 6

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