Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems

Due to the vital role of financial systems in today’s sophisticated world, applying intelligent controllers through management strategies is of crucial importance. We propose to formulate the control problem of the macroeconomic system as an optimization problem and find optimal actions using a rein...

Full description

Bibliographic Details
Main Authors: Qing Ding, Hadi Jahanshahi, Ye Wang, Stelios Bekiros, Madini O. Alassafi
Format: Article
Language:English
Published: MDPI AG 2022-02-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/10/3/499
_version_ 1797486278302760960
author Qing Ding
Hadi Jahanshahi
Ye Wang
Stelios Bekiros
Madini O. Alassafi
author_facet Qing Ding
Hadi Jahanshahi
Ye Wang
Stelios Bekiros
Madini O. Alassafi
author_sort Qing Ding
collection DOAJ
description Due to the vital role of financial systems in today’s sophisticated world, applying intelligent controllers through management strategies is of crucial importance. We propose to formulate the control problem of the macroeconomic system as an optimization problem and find optimal actions using a reinforcement learning algorithm. Using the Q-learning algorithm, the best optimal action for the system is obtained, and the behavior of the system is controlled. We illustrate that it is possible to control the nonlinear dynamics of the macroeconomic systems using restricted actuation. The highly effective performance of the proposed controller for uncertain systems is demonstrated. The simulation results evidently confirm that the proposed controller satisfies the expected performance. In addition, the numerical simulations clearly confirm that even when we confined the control actions, the proposed controller effectively finds optimal actions for the nonlinear macroeconomic system.
first_indexed 2024-03-09T23:30:58Z
format Article
id doaj.art-273f6a56ba594f9badca0069cb8fdc76
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-09T23:30:58Z
publishDate 2022-02-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-273f6a56ba594f9badca0069cb8fdc762023-11-23T17:08:32ZengMDPI AGMathematics2227-73902022-02-0110349910.3390/math10030499Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic SystemsQing Ding0Hadi Jahanshahi1Ye Wang2Stelios Bekiros3Madini O. Alassafi4College of Liberal Arts and Sciences, National University of Defense Technology, Changsha 410073, ChinaDepartment of Mechanical Engineering, University of Manitoba, Winnipeg, MB R3T 5V6, CanadaDepartment of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Banking and Finance, FEMA, University of Malta, MSD 2080 Msida, MaltaDepartment of Information Technology, Faculty of Computing and Information Technology, King Abdulaziz University, Jeddah 21589, Saudi ArabiaDue to the vital role of financial systems in today’s sophisticated world, applying intelligent controllers through management strategies is of crucial importance. We propose to formulate the control problem of the macroeconomic system as an optimization problem and find optimal actions using a reinforcement learning algorithm. Using the Q-learning algorithm, the best optimal action for the system is obtained, and the behavior of the system is controlled. We illustrate that it is possible to control the nonlinear dynamics of the macroeconomic systems using restricted actuation. The highly effective performance of the proposed controller for uncertain systems is demonstrated. The simulation results evidently confirm that the proposed controller satisfies the expected performance. In addition, the numerical simulations clearly confirm that even when we confined the control actions, the proposed controller effectively finds optimal actions for the nonlinear macroeconomic system.https://www.mdpi.com/2227-7390/10/3/499macroeconomic systemreinforcement learningintelligent controloptimal controller
spellingShingle Qing Ding
Hadi Jahanshahi
Ye Wang
Stelios Bekiros
Madini O. Alassafi
Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems
Mathematics
macroeconomic system
reinforcement learning
intelligent control
optimal controller
title Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems
title_full Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems
title_fullStr Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems
title_full_unstemmed Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems
title_short Optimal Reinforcement Learning-Based Control Algorithm for a Class of Nonlinear Macroeconomic Systems
title_sort optimal reinforcement learning based control algorithm for a class of nonlinear macroeconomic systems
topic macroeconomic system
reinforcement learning
intelligent control
optimal controller
url https://www.mdpi.com/2227-7390/10/3/499
work_keys_str_mv AT qingding optimalreinforcementlearningbasedcontrolalgorithmforaclassofnonlinearmacroeconomicsystems
AT hadijahanshahi optimalreinforcementlearningbasedcontrolalgorithmforaclassofnonlinearmacroeconomicsystems
AT yewang optimalreinforcementlearningbasedcontrolalgorithmforaclassofnonlinearmacroeconomicsystems
AT steliosbekiros optimalreinforcementlearningbasedcontrolalgorithmforaclassofnonlinearmacroeconomicsystems
AT madinioalassafi optimalreinforcementlearningbasedcontrolalgorithmforaclassofnonlinearmacroeconomicsystems