قارن الطرق

	التحكم التنبؤي بالنموذج	معادلة هاميلتون-جاكوبي-بيلمان
المجال	نظرية التحكم	نظرية التحكم
العائلة	Machine learning	Machine learning
سنة النشأة	1978	1957
صاحب الطريقة	Jacques Richalet	Richard Bellman
النوع	algorithm	algorithm
المصدر التأسيسي	Richalet, J., Rault, A., Testud, J., & Papon, J. (1978). Model predictive heuristic control. Automatica, 14(5), 413-428.	Bellman, R. (1957). Dynamic Programming. Princeton University Press.
الأسماء البديلة	MPC, Receding Horizon Control	HJB Equation, Bellman Equation, Dynamic Programming
ذات صلة	5	3
الملخص	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.