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Author:

Huo, Yu (Huo, Yu.) | Wang, Ding (Wang, Ding.) | Qiao, Jun-Fei (Qiao, Jun-Fei.)

Indexed by:

EI Scopus

Abstract:

For a kind of continuous-time nonlinear systems with uncertainties, a robust tracking control method is established based on critic learning formulation with single network. Firstly, an augmented system consisting of the tracking error and the reference trajectory is established, and the robust tracking control problem is transformed into a stabilization design problem. By adopting a cost function with a discount factor and a special utility term, the robust stabilization problem is transformed into an optimal control problem. Then, the optimal cost function is estimated by building a critic neural network, and consequently the optimal tracking control algorithm can be derived. In order to relax the initial admissible control conditions in the proposed algorithm, an extra term is added to the weight updating law of the critic neural network. Furthermore, the stability of the closed-loop system and the robust tracking performance are proved using the Lyapunov approach. Finally, the effectiveness and applicability of the developed approach are demonstrated via simulation results. © 2023 Northeast University. All rights reserved.

Keyword:

Optimal control systems Navigation Closed loop control systems Cost functions Continuous time systems Learning systems Stabilization Nonlinear systems

Author Community:

  • [ 1 ] [Huo, Yu]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Huo, Yu]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 3 ] [Huo, Yu]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China
  • [ 4 ] [Huo, Yu]Beijing Laboratory of Smart Environmental Protection, Beijing University of Technology, Beijing; 100124, China
  • [ 5 ] [Wang, Ding]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 6 ] [Wang, Ding]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 7 ] [Wang, Ding]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China
  • [ 8 ] [Wang, Ding]Beijing Laboratory of Smart Environmental Protection, Beijing University of Technology, Beijing; 100124, China
  • [ 9 ] [Qiao, Jun-Fei]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 10 ] [Qiao, Jun-Fei]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing University of Technology, Beijing; 100124, China
  • [ 11 ] [Qiao, Jun-Fei]Beijing Institute of Artificial Intelligence, Beijing University of Technology, Beijing; 100124, China
  • [ 12 ] [Qiao, Jun-Fei]Beijing Laboratory of Smart Environmental Protection, Beijing University of Technology, Beijing; 100124, China

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Source :

Control and Decision

ISSN: 1001-0920

Year: 2023

Issue: 11

Volume: 38

Page: 3066-3074

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: 7

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