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Author:

Ha, Mingming (Ha, Mingming.) | Wang, Ding (Wang, Ding.) (Scholars:王鼎) | Liu, Derong (Liu, Derong.)

Indexed by:

EI Scopus SCIE

Abstract:

In this work, the generalized value iteration with a discount factor is developed for optimal control of discrete-time nonlinear systems, which is initialized with a positive definite value function rather than zero. The convergence analysis of the discounted value function sequence is provided. The condition for the discount factor is given to guarantee the stability of the controlled plants. With this operation, the iterative control policy that asymptotically stabilizes the closed-loop system can be determined. The introduction of a discount factor has eased some conditions that the system dynamics and the initialization of the generalized value iteration need to fulfill. It is not required that the initial control policy is stabilizing. In the iteration process, under some conditions, if the system is asymptotically stable at the current iteration, then it can be guaranteed that the iterative control policies after this current iteration step also are stabilizing. It is convenient and practical to evaluate the asymptotic stability of the closed-loop system using the iterative control policy. A numerical example with physical background is carried out to validate the present results. (C) 2020 Elsevier B.V. All rights reserved.

Keyword:

Nonlinear systems Adaptive dynamic programming Generalized value iteration Admissible control policy Discounted optimal control Reinforcement learning

Author Community:

  • [ 1 ] [Ha, Mingming]Univ Sci & Technol Beijing, Sch Automat & Elect Engn, Beijing 100083, Peoples R China
  • [ 2 ] [Wang, Ding]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China
  • [ 3 ] [Wang, Ding]Beijing Univ Technol, Beijing Key Lab Computat Intelligence & Intellige, Beijing 100124, Peoples R China
  • [ 4 ] [Liu, Derong]Univ Illinois, Dept Elect & Comp Engn, Chicago, IL 60607 USA

Reprint Author's Address:

  • 王鼎

    [Wang, Ding]Beijing Univ Technol, Fac Informat Technol, Beijing 100124, Peoples R China

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Source :

SYSTEMS & CONTROL LETTERS

ISSN: 0167-6911

Year: 2021

Volume: 147

2 . 6 0 0

JCR@2022

ESI Discipline: ENGINEERING;

ESI HC Threshold:87

JCR Journal Grade:2

Cited Count:

WoS CC Cited Count: 5

SCOPUS Cited Count: 58

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 2

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