Reinforcement learning and non-zero-sum game output regulation for multi-player linear uncertain systems

DOI10.1016/j.automatica.2019.108672zbMath1430.93119OpenAlexW2983464671WikidataQ126865054 ScholiaQ126865054MaRDI QIDQ2288678

Weinan Gao, Adedapo Odekunle, Masoud Davari, Zhong-Ping Jiang

Publication date: 20 January 2020

Published in: Automatica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.automatica.2019.108672

zbMATH Keywords

game theoryoutput regulationadaptive optimal controlreinforcement learning (RL)data-driven control

Mathematics Subject Classification ID

Feedback control (93B52) Applications of optimal control and differential games (49N90) Differential games (aspects of game theory) (91A23) Applications of game theory (91A80) Control/observation systems with incomplete information (93C41) Adaptive control/observation systems (93C40) Linear systems in control theory (93C05) Rationality and learning in game theory (91A26)

Related Items (10)

Resilient reinforcement learning and robust output regulation under denial-of-service attacks ⋮ Nash equilibrium and bang-bang property for the non-zero-sum differential game of multi-player uncertain systems with Hurwicz criterion ⋮ Off‐policy integral reinforcement learning‐based optimal tracking control for a class of nonzero‐sum game systems with unknown dynamics ⋮ Robust optimal tracking control for multiplayer systems by off‐policy Q‐learning approach ⋮ Optimal robust formation control for heterogeneous multi‐agent systems based on reinforcement learning ⋮ Safe reinforcement learning: A control barrier function optimization approach ⋮ Model-free optimal tracking policies for Markov jump systems by solving non-zero-sum games ⋮ Reinforcement learning and cooperative \(H_\infty\) output regulation of linear continuous-time multi-agent systems ⋮ Off-policy Q-learning: solving Nash equilibrium of multi-player games with network-induced delay and unmeasured state ⋮ Learning-based adaptive optimal output regulation of linear and nonlinear systems: an overview

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Value iteration and adaptive dynamic programming for data-driven adaptive optimal control design
• Computational adaptive optimal control for continuous-time linear systems with completely unknown dynamics
• Multi-player non-zero-sum games: online adaptive learning solution of coupled Hamilton-Jacobi equations
• Model-free \(Q\)-learning designs for linear discrete-time zero-sum games with application to \(H^\infty\) control
• Coordinated output regulation of heterogeneous linear systems under switching topologies
• Nonzero-sum differential games
• Adaptive Dynamic Programming and Adaptive Optimal Output Regulation of Linear Systems
• Cooperative Global Robust Output Regulation for Nonlinear Uncertain Multi-Agent Systems in Lower Triangular Form
• Semi-global nonlinear output regulation with adaptive internal model
• Leader-to-Formation Stability of Multiagent Systems: An Adaptive Optimal Control Approach
• H_∞‐output regulation of linear heterogeneous multiagent systems over switching graphs
• On optimal output regulation for linear systems
• Robust Adaptive Dynamic Programming
• Online solution of nonlinear two‐player zero‐sum games using synchronous policy iteration
• Nonlinear Output Regulation
• Output regulation of nonlinear systems by sliding mode

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