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Linear–Quadratic Regulator Problems

1995
Abstract The “linear-quadratic regulator” (LQR) problem of optimal control has probably provided the greatest single stimulus for investigation of matrix Riccati equations in differential, difference, and algebraic forms. In this chapter the continuous and discrete LQR problems are to be outlined and then the solutions of these ...
Peter Lancaster, Leiba Rodman
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Effect of nonlinearity on linear quadratic regulator performance

2004 43rd IEEE Conference on Decision and Control (CDC) (IEEE Cat. No.04CH37601), 2004
Two new local measure of nonlinearity are introduced to quantify the sensitivity of controller stability and performance for linear controllers operating on a nonlinear plant. The measure quantifies the departures from optimality of locally linear quadratic regulators.
Martin Guay, J. Fraber Forbes
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Understand direct NDP with linear quadratic regulation

Proceedings of the 2004 IEEE International Symposium on Intelligent Control, 2004., 2005
This work falls into the general area of approximate dynamic programming. Direct NDP designs are further analyzed using classic control-theoretic sensitivity arguments. The relationship between direct NDP and LQR designs are discussed due to their resemblances in system performance functions.
Lei Yang 0001   +2 more
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Dynamic Gain Adaptation in Linear Quadratic Regulators

IEEE Transactions on Automatic Control
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Structured Linear Quadratic Regulator Design

2023 27th International Conference on System Theory, Control and Computing (ICSTCC), 2023
Philipp Schaub, Ulrich Konigorski
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Reduced explicit constrained linear quadratic regulators

IEEE Transactions on Automatic Control, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Regulation of linear quadratic games

2005
In non-cooperative two-person games Nash equilibria can be dominated. When a third player — the regulator — can influence the cost structure of the game, it is sometimes possible to reduce the degree of dominance of the non-cooperative equilibrium. We formulate the regulator's problem as minimization of a (properly chosen) distance between the Nash ...
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Policy Gradient Methods for the Noisy Linear Quadratic Regulator over a Finite Horizon

SIAM Journal on Control and Optimization, 2021
Ben Hambly, Renyuan Xu
exaly  

On Design of Robust Linear Quadratic Regulators

2023 American Control Conference (ACC), 2023
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