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Author:

Wang, Ding (Wang, Ding.) | Zhao, Ming-Ming (Zhao, Ming-Ming.) | Ha, Ming-Ming (Ha, Ming-Ming.) | Qiao, Jun-Fei (Qiao, Jun-Fei.)

Indexed by:

EI Scopus

Abstract:

In this paper, based on the discounted generalized value iteration, an intelligent algorithm is designed to address optimal tracking control problems for a class of complex nonlinear systems. By choosing an appropriate initial value, the iterative cost function converges to the optimum in a monotonically decreasing form. In the light of the monotonically decreasing value iteration algorithm, we discuss the admissibility properties of the iterative tracking control law and the asymptotic stability of the error system with different discounted factors. For facilitating the implementation of the algorithm, a data-driven model network is established to learn the unknown system. The critic and action networks are constructed to approximate the cost function and compute the iterative tracking control law. It is worth noting that a new termination criterion is developed to guarantee the effectiveness of the iterative tracking control law. The termination criterion contains two conditions. The first condition is used to ensure the validity of the tracking control law, which is helpful to evaluate the stability of the error system. The second condition is adopted to guarantee the near-optimal properties of the tracking control law. Finally, two experimental examples are conducted, where a wastewater treatment application is involved, in order to demonstrate the control performance of the proposed near-optimal tracking control method. Copyright ©2022 Acta Automatica Sinica. All rights reserved.

Keyword:

Wastewater treatment Adaptive control systems Navigation Iterative methods Control theory Cost functions Asymptotic stability Neural networks System stability

Author Community:

  • [ 1 ] [Wang, Ding]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 2 ] [Wang, Ding]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing; 100124, China
  • [ 3 ] [Wang, Ding]Beijing Institute of Artificial Intelligence, Beijing; 100124, China
  • [ 4 ] [Wang, Ding]Beijing Laboratory of Smart Environmental Protection, Beijing; 100124, China
  • [ 5 ] [Zhao, Ming-Ming]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 6 ] [Zhao, Ming-Ming]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing; 100124, China
  • [ 7 ] [Zhao, Ming-Ming]Beijing Institute of Artificial Intelligence, Beijing; 100124, China
  • [ 8 ] [Zhao, Ming-Ming]Beijing Laboratory of Smart Environmental Protection, Beijing; 100124, China
  • [ 9 ] [Ha, Ming-Ming]School of Automation and Electrical Engineering, University of Science and Technology Beijing, Beijing; 100083, China
  • [ 10 ] [Qiao, Jun-Fei]Faculty of Information Technology, Beijing University of Technology, Beijing; 100124, China
  • [ 11 ] [Qiao, Jun-Fei]Beijing Key Laboratory of Computational Intelligence and Intelligent System, Beijing; 100124, China
  • [ 12 ] [Qiao, Jun-Fei]Beijing Institute of Artificial Intelligence, Beijing; 100124, China
  • [ 13 ] [Qiao, Jun-Fei]Beijing Laboratory of Smart Environmental Protection, Beijing; 100124, China

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Source :

Acta Automatica Sinica

ISSN: 0254-4156

Year: 2022

Issue: 1

Volume: 48

Page: 182-193

Cited Count:

WoS CC Cited Count: 0

SCOPUS Cited Count: 33

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 7

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