학술논문

Learning Adaptive Optimal Controllers for Linear Time-Delay Systems *
Document Type
Conference
Source
2023 American Control Conference (ACC) American Control Conference (ACC), 2023. :4575-4580 May, 2023
Subject
Aerospace
Bioengineering
Power, Energy and Industry Applications
Robotics and Control Systems
Transportation
Adaptation models
Adaptive systems
Riccati equations
Optimal control
Reinforcement learning
Approximation algorithms
Mathematical models
Language
ISSN
2378-5861
Abstract
This paper studies the learning-based optimal control for a class of infinite-dimensional linear time-delay systems. The aim is to fill the gap of adaptive dynamic programming (ADP) where adaptive optimal control of infinite-dimensional systems is not addressed. A key strategy is to combine the classical model-based linear quadratic (LQ) optimal control of time-delay systems with the state-of-art reinforcement learning (RL) technique. Both the model-based and data-driven policy iteration (PI) approaches are proposed to solve the corresponding algebraic Riccati equation (ARE) with guaranteed convergence. The proposed PI algorithm can be considered as a generalization of ADP to infinite-dimensional time-delay systems. The efficiency of the proposed algorithm is demonstrated by the practical application arising from autonomous driving in mixed traffic environments, where human drivers’ reaction delay is considered.