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Author:

Wang, Ding (Wang, Ding.) (Scholars:王鼎) | Wu, Junlong (Wu, Junlong.) | Hu, Lingzhi (Hu, Lingzhi.) | Qiao, Junfei (Qiao, Junfei.)

Indexed by:

EI Scopus SCIE

Abstract:

In this essay, we develop a combined value iteration (CVI) framework to address discounted optimal control problems for discrete-time affine nonlinear systems. First, generated by novel value iteration (NVI), the admissibility is investigated for the iterative control policy. Note that the relaxation factor leads to the adjustable convergence speed. Second, the constraint condition for the discount factor is established to guarantee the admissibility of the iterative control policy derived from stabilizing value iteration (SVI). In addition, the monotonicity is discussed for the iterative cost function sequence. More importantly, CVI is constructed based on NVI and SVI. Third, produced by CVI, the system stability under the evolving control sequence is ensured by the introduction of the attraction region. In the end, a numerical example is involved to confirm the related theoretical results.

Keyword:

Optimal control Cost function Costs Stability criteria Iterative methods Nonlinear systems evolving control sequence combined value iteration intelligent control Adaptive critic nonlinear systems attraction region Convergence

Author Community:

  • [ 1 ] [Wang, Ding]Beijing Univ Technol, Fac Informat Technol, Beijing Key Lab Computat Intelligence & Intelligen, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China
  • [ 2 ] [Wu, Junlong]Beijing Univ Technol, Fac Informat Technol, Beijing Key Lab Computat Intelligence & Intelligen, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China
  • [ 3 ] [Hu, Lingzhi]Beijing Univ Technol, Fac Informat Technol, Beijing Key Lab Computat Intelligence & Intelligen, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China
  • [ 4 ] [Qiao, Junfei]Beijing Univ Technol, Fac Informat Technol, Beijing Key Lab Computat Intelligence & Intelligen, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China
  • [ 5 ] [Wang, Ding]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
  • [ 6 ] [Wu, Junlong]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
  • [ 7 ] [Hu, Lingzhi]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
  • [ 8 ] [Qiao, Junfei]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Wang, Ding]Beijing Univ Technol, Fac Informat Technol, Beijing Key Lab Computat Intelligence & Intelligen, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China;;[Wang, Ding]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China;;

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Source :

IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS

ISSN: 1549-7747

Year: 2023

Issue: 4

Volume: 70

Page: 1535-1539

4 . 4 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:19

Cited Count:

WoS CC Cited Count: 1

SCOPUS Cited Count: 2

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

Affiliated Colleges:

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