SOLVING LINEAR-QUADRATIC REGULATOR PROBLEM WITH AVERAGE-VALUE-AT-RISK CRITERIA USING APPROXIMATE DYNAMIC PROGRAMMING
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Date
2024-04-26
Authors
Raikhankyzy, Arailym
Journal Title
Journal ISSN
Volume Title
Publisher
Nazarbayev University School of Sciences and Humanities
Abstract
This master’s thesis explores the intersection of optimal control theory and risk-sensitive decision-making by addressing the finite-horizon discrete-time linear quadratic regulator (LQR) problem with a focus on the average-value-at-risk (AVaR) criteria. The study aims to mathematically formalize the LQR-AVaR problem within the dynamic programming framework and develop a computational algorithm based on approximate dynamic programming techniques to solve it. The algorithm’s effectiveness is rigorously assessed through the analysis of experiment results and plot evaluations. The experiment results indicate that the approximate dynamic programming algorithm, when applied properly, performs well for the problem, with experiments suggesting high accuracy.
Description
Keywords
Type of access: Open Access, optimal control theory, risk-sensitive decision-making, linear quadratic regulator, Average-Value-at-Risk, approximate dynamic programming
Citation
Raikhankyzy, A. (2024) Solving Linear-Quadratic Regulator Problem with Average-Value-at-Risk Criteria using Approximate Dynamic Programming. Nazarbayev University School of Sciences and Humanities