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Author:

Huang, Haiming (Huang, Haiming.) | Wang, Ding (Wang, Ding.) (Scholars:王鼎) | Wu, Junlong (Wu, Junlong.) | Hu, Lingzhi (Hu, Lingzhi.)

Indexed by:

CPCI-S EI Scopus

Abstract:

This paper develops a novel value iteration (VI) scheme and an online VI algorithm, to address the discounted optimal control problems of affine discrete-time nonlinear systems. First, we provide the derivation of the novel VI. Second, we analyze the convergence and monotonicity of the iterative value function sequence, as well as the admissibility of the iterative control. Third, based on the theory of the attraction domain and the novel VI scheme, an online VI algorithm is proposed to implement the stability analysis of the controlled system. It is worth noting that the current control during the online control stage is determined by the location of the current state. Finally, a simulation example is involved to demonstrate the performance of the developed algorithms.

Keyword:

online value iteration adjustable convergence speed stability proof admissible control policy novel value iteration Adaptive critic

Author Community:

  • [ 1 ] [Huang, Haiming]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 2 ] [Wang, Ding]Beijing Univ Technol, Beijing Key Lab Computat Intelligence & Intellige, Beijing 100124, Peoples R China
  • [ 3 ] [Wu, Junlong]Beijing Univ Technol, Beijing Inst Artificial Intelligence, Beijing 100124, Peoples R China
  • [ 4 ] [Hu, Lingzhi]Beijing Univ Technol, Beijing Lab Smart Environm Protect, Beijing 100124, Peoples R China

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Source :

2022 4TH INTERNATIONAL CONFERENCE ON CONTROL AND ROBOTICS, ICCR

Year: 2022

Page: 280-286

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: 8

Affiliated Colleges:

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