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Robust hybrid LQ controller

2003 European Control Conference (ECC), 2003
In this paper design of switching controllers for linear systems with analog uncertainty is considered. The controllers are LQ controllers and switching sequence is determined by minimization of suitable defined priority function. The priority function includes switching penalty term which introduces cautiousness in switching discrete state.
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Generalization of the $${\varvec{lq}}$$lq-modular closure theorem and applications

Archiv der Mathematik, 2018
Let k be a field of characteristic $$ p\not =0 $$. For a (purely) inseparable extension K / k the notion of modularity, defined by M.E. Sweedler in the 60s, is a very important property, very much like being Galois for a separable extension. We have defined, together with M.
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On LQ-control of magnetic bearing

IEEE Transactions on Control Systems Technology, 2000
Control theory gives very few examples of control systems for which the closed-form solution to the linear-quadratic (LQ) optimization problem exists. The paper describes two such systems of second- and fourth-order concerning magnetic bearings and gives the closed-form solutions to the LQ-problems.
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The LQ Regulator

1987
Exercise 1.2.8, 1.2.9, 1.2.10, and 1.2.11 should be worked out before starting this section.
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On the robustness of LQ regulators

IEEE Transactions on Automatic Control, 1984
Summary: It is shown that in spite of its large gain and phase margins the linear quadratic state feedback regulator may suffer from poor robustness where small changes in the parameters of the system may lead to fast unstable closed-loop modes.
Soroka, E., Shaked, U.
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?????? ???????????????????? ?? ?????????????? Lq ?????????????? ?? ???????????? ?????????? - ???????? ???????????? ????????????????

2020
In the integral metric, estimates exact by order are found for deviations of the Zygmund linear means from functions, which belong to Weyl-Nagy classes.
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Nicely Nonlinear LQ-based Control

2009 European Control Conference (ECC), 2009
Nicely Nonlinear LQ-based Control is a novel three-stages technique to easily get a sub-optimal solution to the infinite horizon standard regulation problem for nonlinear systems. It approximates the plant with its second order-truncated Taylor series (stage I), operates a feedback linearization on the resulting linear-quadratic model (stage II) and ...
Santaniello S, Fiengo G, Glielmo L
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Indefinite stochastic LQ control with jumps

Proceedings of the 40th IEEE Conference on Decision and Control (Cat. No.01CH37228), 2002
This paper studies a stochastic linear quadratic (LQ) problem in the infinite time horizon with Markovian jumps in parameter values. In contrast to the deterministic case, the cost weighting matrices of the state and control are allowed to be indefinite here.
Xun Li, Xun Yu Zhou, Mustapha Ait Rami
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Robust frequency-shaped LQ control

Automatica, 1987
Certain frequency-shaped standard linear quadratic (LQ) controllers involving state feedback have attractive loop robustness properties. These robustness properties may vanish in passing to an output feedback scheme, as when state estimates are used instead of states. The known exception to date is when the plants are minimum phase and state estimation
John B. Moore, D. Lewis Mingori
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?????????????????????? ?????????????? ???????????? ?????????????????????????? ?????????????? ???????????? ???????????????????? ?? ???????????????????????? Lq

2019
???????????????? ???????????????????? ???????????? ?????????????????? ?????????????????????? ????????????????????, ???????????????????????? ???? ?????????????????????????????? ?????????????? ???? ?????????????? ?????????????????????????? ?????????????? ???????????? ???????????????????? Brp,??. ???????????? ?????????????? ?????????????????????? ???? ????
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