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模型预测控制×汉密尔顿-雅可比-贝尔曼方程×
领域控制理论控制理论
方法族Machine learningMachine learning
起源年份19781957
提出者Jacques RichaletRichard Bellman
类型algorithmalgorithm
开创性文献Richalet, J., Rault, A., Testud, J., & Papon, J. (1978). Model predictive heuristic control. Automatica, 14(5), 413-428. DOI ↗Bellman, R. (1957). Dynamic Programming. Princeton University Press. link ↗
别名MPC, Receding Horizon ControlHJB Equation, Bellman Equation, Dynamic Programming
相关53
摘要Model Predictive Control (MPC) is an advanced control strategy that uses an explicit process model to predict future system behavior over a finite horizon and solves an optimization problem at each control step. First formalized by Richalet et al. in 1978, MPC has become the dominant approach in process control industries, from chemical plants to autonomous vehicles, because it naturally handles constraints and can optimize multiple objectives simultaneously.The Hamilton-Jacobi-Bellman (HJB) equation is a partial differential equation characterizing the optimal cost-to-go function in dynamic programming. Developed by Bellman in 1957, HJB provides both necessary and sufficient conditions for optimality, enabling elegant theoretical analysis and numerical solutions for optimal control problems. HJB is fundamental to reinforcement learning, approximate dynamic programming, and real-time control.
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ScholarGate方法对比: Model Predictive Control · Hamilton-Jacobi-Bellman Equation. 于 2026-06-18 检索自 https://scholargate.app/zh/compare