Linear Quadratic Regulator
The 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.
Source record
Citations copied verbatim from the method’s source record. No claim-level verification is inferred from them.
- Kalman, R. E. (1960). Contributions to the theory of optimal control. Boletin de la Sociedad Matematica Mexicana, 5(2), 102-119. · URL
- Bryson, A. E., & Ho, Y. C. (1969). Applied Optimal Control: Optimization, Estimation and Control. Blaisdell Publishing. · URL
- Lewis, F. L., Vrabie, D., & Syrmos, V. L. (2012). Optimal Control (3rd ed.). John Wiley & Sons. · DOI 10.1002/9781118122631
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Related methods
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