Solution of the linear quadratic regulator problem of black box linear systems using reinforcement learning

DOI10.1016/j.ins.2022.03.004OpenAlexW4220828071MaRDI QIDQ6199564

Adolfo Perrusquía

Publication date: 28 February 2024

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2022.03.004

zbMATH Keywords

linear quadratic regulatoroutput feedbackgradient descentQ-learningpersistency of excitationstate observer parametrization

Mathematics Subject Classification ID

Feedback control (93B52) Lyapunov and other classical stabilities (Lagrange, Poisson, (L^p, l^p), etc.) in control theory (93D05) Linear systems in control theory (93C05) Observers (93B53)

Cites Work

• Unnamed Item
• Unnamed Item
• Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics
• Integral reinforcement learning and experience replay for adaptive optimal control of partially-unknown constrained-input continuous-time systems
• Reinforcement \(Q\)-learning for optimal tracking control of linear discrete-time systems with unknown dynamics
• Q-learning for continuous-time linear systems: A model-free infinite horizon optimal control approach
• Model-free \(H_{\infty }\) control design for unknown linear discrete-time systems via Q-learning with LMI
• Online actor-critic algorithm to solve the continuous-time infinite horizon optimal control problem
• Adaptive optimal control for continuous-time linear systems based on policy iteration
• Reinforcement learning solution for HJB equation arising in constrained optimal control problem
• \( \mathbb{Q} \)-learning algorithm in solving consensusability problem of discrete-time multi-agent systems
• Sliding-Mode Observers
• Linear Quadratic Tracking Control of Partially-Unknown Continuous-Time Systems Using Reinforcement Learning
• Continuous-time path planning for multi-agents with fuzzy reinforcement learning
• Robust control under worst‐case uncertainty for unknown nonlinear systems using modified reinforcement learning
• Continuous-time reinforcement learning for robust control under worst-case uncertainty
• Reinforcement Learning and Feedback Control: Using Natural Decision Methods to Design Optimal Adaptive Controllers

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