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The Linear Quadratic Regulator

Tomas Bjork, Mariana Khapko () and Agatha Murgoci ()
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Mariana Khapko: University of Toronto
Agatha Murgoci: Ørsted

Chapter Chapter 3 in Time-Inconsistent Control Theory with Finance Applications, 2021, pp 23-25 from Springer

Abstract: Abstract In order to illustrate the use of dynamic programming and the Bellman equation we now consider a classical engineering problem: The linear quadratic regulator or LQR. The LQR is a well-known design technique in which a process or machine has its settings optimized by minimizing a quadratic cost function. The cost function is often defined as the sum of deviations for key properties (altitude, temperature, etc.). Applications range from underactuated robotics to nanorobotics, general operation of technical systems such as power or climate control systems, physics, statistics, and econometrics.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprfcp:978-3-030-81843-2_3

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DOI: 10.1007/978-3-030-81843-2_3

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