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Lineaire Kwadratische Regulator×Pontryagin Maximum Principle×
VakgebiedRegeltechniekRegeltechniek
FamilieMachine learningMachine learning
Jaar van ontstaan19601962
GrondleggerRudolf KalmanLev Pontryagin
Typealgorithmalgorithm
Oorspronkelijke bronKalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5(2), 102-119. link ↗Pontryagin, L. S., Boltyanskii, V. G., Gamkrelidze, R. V., & Mischenko, E. F. (1962). The Mathematical Theory of Optimal Processes. John Wiley & Sons. link ↗
AliassenLQR, Linear Quadratic Optimal ControlPMP, Optimal Control, Costate Method
Verwant43
SamenvattingThe Linear Quadratic Regulator (LQR) is a classical optimal control algorithm that computes a linear feedback law to minimize a quadratic cost function for a linear dynamical system. Introduced by Kalman in 1960, LQR provides a provably optimal, closed-form solution for linear systems and remains fundamental in control theory, robotics, and aerospace applications because of its theoretical elegance and computational efficiency.The Pontryagin Maximum Principle (PMP) is a fundamental theorem in optimal control theory providing necessary conditions for optimality of a control trajectory. Published by Lev Pontryagin in 1962, PMP generalizes the calculus of variations to control problems with constraints and is the theoretical foundation enabling solution of complex trajectory optimization problems from spacecraft missions to industrial process optimization.
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ScholarGateMethoden vergelijken: Linear Quadratic Regulator · Pontryagin Maximum Principle. Geraadpleegd op 2026-06-19 via https://scholargate.app/nl/compare