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Journal articles on the topic 'Linear Quadratic Regulator'

Author: Grafiati

Published: 4 June 2021

Last updated: 25 July 2025

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1

Alexandrova, Mariela, Nasko Atanasov, Ivan Grigorov, and Ivelina Zlateva. "Linear Quadratic Regulator Procedure and Symmetric Root Locus Relationship Analysis." International Journal of Engineering Research and Science 3, no. 11 (2017): 27–33. http://dx.doi.org/10.25125/engineering-journal-ijoer-nov-2017-7.

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2

CS, Vishnu, and Riya Mary Francis. "Speed Control of BLDC Motor by Using Tuned Linear Quadratic Regulator." International Journal of Scientific Engineering and Research 3, no. 8 (2015): 36–40. https://doi.org/10.70729/ijser15383.

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3

Khlebnikov, M. V., and P. S. Shcherbakov. "Linear Quadratic Regulator: II. Robust Formulations." Automation and Remote Control 80, no. 10 (2019): 1847–60. http://dx.doi.org/10.1134/s0005117919100060.

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4

Vissio, Giacomo, Duarte Valério, Giovanni Bracco, Pedro Beirão, Nicola Pozzi, and Giuliana Mattiazzo. "ISWEC linear quadratic regulator oscillating control." Renewable Energy 103 (April 2017): 372–82. http://dx.doi.org/10.1016/j.renene.2016.11.046.

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5

Ochi, Y., and K. Kanai. "Eigenstructure Assignment for Linear Quadratic Regulator." IFAC Proceedings Volumes 29, no. 1 (1996): 1098–103. http://dx.doi.org/10.1016/s1474-6670(17)57811-8.

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6

Sairoel, Amertet Finecomes, L. Gebre Fisseha, M. Mesene Abush, and Abebaw Solomon. "Optimization of automobile active suspension system using minimal order." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 3 (2022): 2378–92. https://doi.org/10.11591/ijece.v12i3.pp2378-2392.

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This paper presents an analysis and design of linear quadratic regulator for reduced order full car suspension model incorporating the dynamics of the actuator to improve system performance, aims at benefiting: Ride comfort, long life of vehicle, and stability of vehicle. Vehicle’s road holding or handling and braking for good active safety and driving pleasure and keeping vehicle occupants comfortable and reasonably well isolated from road noise, bumps, and vibrations are become a key research area conducted by many researchers around the globe. Different researchers were tested effecti

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7

Danas, Aidil, Heru Dibyo Laksono, and Syafii . "Perbaikan Kestabilan Dinamik Sistem Tenaga Listrik Multimesin dengan Metoda Linear Quadratic Regulator." Jurnal Nasional Teknik Elektro 2, no. 2 (2013): 72–78. http://dx.doi.org/10.20449/jnte.v2i2.88.

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8

Wu, Guangyu, Lu Xiong, Gang Wang, and Jian Sun. "Linear Quadratic Regulator of Discrete-Time Switched Linear Systems." IEEE Transactions on Circuits and Systems II: Express Briefs 67, no. 12 (2020): 3113–17. http://dx.doi.org/10.1109/tcsii.2020.2973302.

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9

Abdelrahman, M., G. Aryassov, M. Tamre, and I. Penkov. "System Vibration Control Using Linear Quadratic Regulator." International Journal of Applied Mechanics and Engineering 27, no. 3 (2022): 1–8. http://dx.doi.org/10.2478/ijame-2022-0031.

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Abstract Balancing a bipedal robot movement against external perturbations is considered a challenging and complex topic. This paper discusses how the vibration caused by external disturbance has been tackled by a Linear Quadratic Regulator, which aims to provide optimal control to the system. A simulation was conducted on MATLAB in order to prove the concept. Results have shown that the linear quadratic regulator was successful in stabilizing the system efficiently.

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10

NAKAJIMA, Kyohei, Koichi KOBAYASHI, and Yuh YAMASHITA. "Linear Quadratic Regulator with Decentralized Event-Triggering." IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences E100.A, no. 2 (2017): 414–20. http://dx.doi.org/10.1587/transfun.e100.a.414.

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11

I. Abdulla, Abdulla. "Linear Quadratic Regulator Using Artificial Immunize System." AL-Rafdain Engineering Journal (AREJ) 20, no. 3 (2012): 80–91. http://dx.doi.org/10.33899/rengj.2012.50481.

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12

Gavina, A., J. Matos, and P. B. Vasconcelos. "Tau Method for Linear Quadratic Regulator Problems." Journal of Applied Nonlinear Dynamics 3, no. 2 (2014): 139–46. http://dx.doi.org/10.5890/jand.2014.06.004.

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13

Khlebnikov, M. V., P. S. Shcherbakov, and V. N. Chestnov. "Linear-quadratic regulator. I. a new solution." Automation and Remote Control 76, no. 12 (2015): 2143–55. http://dx.doi.org/10.1134/s0005117915120048.

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14

Heemels, W. P. M. H., S. J. L. Van Eijndhoven, and A. A. Stoorvogel. "Linear quadratic regulator problem with positive controls." International Journal of Control 70, no. 4 (1998): 551–78. http://dx.doi.org/10.1080/002071798222208.

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15

Feng, Lechen, and Yuan-Hua Ni. "Accelerated optimization landscape of linear–quadratic regulator." Automatica 171 (January 2025): 111927. http://dx.doi.org/10.1016/j.automatica.2024.111927.

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16

Wu, Guangyu, Jian Sun, and Jie Chen. "Optimal Linear Quadratic Regulator of Switched Systems." IEEE Transactions on Automatic Control 64, no. 7 (2019): 2898–904. http://dx.doi.org/10.1109/tac.2018.2872204.

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17

Escárate, Pedro, Juan C. Agüero, Sebastián Zúñiga, Mario Castro, and Javier Garcés. "Linear quadratic regulator for laser beam shaping." Optics and Lasers in Engineering 94 (July 2017): 90–96. http://dx.doi.org/10.1016/j.optlaseng.2017.02.009.

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18

Kamel, Ahmed, Ramin Esmzad, Nariman Niknejad, and Hamidreza Modares. "Robust adaptive maximum-entropy linear quadratic regulator." IFAC Journal of Systems and Control 32 (June 2025): 100305. https://doi.org/10.1016/j.ifacsc.2025.100305.

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19

Mohammad, A. Thanoon, R. Awad Sohaib, and Kh. Abdullah Ismael. "LQR controller design for stabilization of non-linear DIP system based on ABC algorithm." Eastern-European Journal of Enterprise Technologies 2, no. 2(122) (2023): 36–44. https://doi.org/10.15587/1729-4061.2023.275657.

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Inverted pendulum systems, such as double or single, rotational or translational inverted pendulums are non-linear and unstable, which have been the most dominant approaches for control systems. The double inverted pendulum is one kind of a non-linear, unstable system, multivariable, and strong coupling with a wide range of control methods. To model these types of systems, many techniques have been proposed so that motivating researchers to come up with new innovative solutions. The Linear Quadratic Regulator (LQR) controller has been a common controller used in this field. Meanwhile, the Arti

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20

Vo, Minh-Tai, Van-Dong-Hai Nguyen, Hoai-Nghia Duong, and Vinh-Hao Nguyen. "Combining Passivity-Based Control and Linear Quadratic Regulator to Control a Rotary Inverted Pendulum." Journal of Robotics and Control (JRC) 4, no. 4 (2023): 479–90. http://dx.doi.org/10.18196/jrc.v4i4.18498.

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In this manuscript, new combination methodology is proposed, which named combining Passivity-Based Control and Linear Quadratic Regulator (for short, CPBC-LQR), to support the stabilization process as the system is far from equilibrium point. More precisely, Linear Quadratic Regulator (for short, LQR) is used together with Passivity-Based Control (for short, PBC) controller. Though passivity-based control and linear quadratic regulator are two control methods, it is possible to integrate them together. The combination of passivity-based control and linear quadratic regulator is analyzed, desig

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21

Jara Huanca, Fidel, Obidio Rubio Mercedes, and Julio Ruiz Claeyssen. "Fundamental response in the vibration control of buildings subject to seismic excitation with ATMD." Selecciones Matemáticas 10, no. 01 (2023): 147–57. http://dx.doi.org/10.17268/sel.mat.2023.01.13.

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The linear quadratic regulator for vibration systems subject to seismic excitations is discussed in his own physical newtonian space as a second-order linear differential system with matrix coefficients. The linear quadratic regulator leads to a fourth-order system and second-order transversality conditions. Those systems are studied with a matrix basis generated by a fundamental matrix solution.

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22

Abdul samad, Bdereddin, Mahmoud Mohamed, Fatih Anayi, and Yevgen Melikhov. "An Investigation of Various Controller Designs for Multi-Link Robotic System (Robogymnast)." Knowledge 2, no. 3 (2022): 465–86. http://dx.doi.org/10.3390/knowledge2030028.

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An approach to controlling the three-link Robogymnast robotic gymnast and assessing stability is proposed and examined. In the study, a conventionally configured linear quadratic regulator is applied and compared with a fuzzy logic linear quadratic regulator hybrid approach for stabilising the Robogymnast. The Robogymnast is designed to replicate the movement of a human as they hang with both hands holding the high bar and then work to wing up into a handstand, still gripping the bar. The system, therefore has a securely attached link between the hand element and the ‘high bar’, which is mount

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23

Yazici, Hakan, and Mert Sever. "Active control of a non-linear landing gear system having oleo pneumatic shock absorber using robust linear quadratic regulator approach." Proceedings of the Institution of Mechanical Engineers, Part G: Journal of Aerospace Engineering 232, no. 13 (2017): 2397–411. http://dx.doi.org/10.1177/0954410017713773.

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This paper deals with the active control of a non-linear active landing gear system equipped with oleo pneumatic shock absorber. Runway induced vibration can cause reduction of pilot’s capability of control the aircraft and results the safety problem before take-off and after landing. Moreover, passenger–crew comfort is adversely affected by vertical vibrations of the fuselage. The active landing gears equipped with oleo pneumatic shock absorber are highly non-linear systems. In this study, uncertain polytopic state space representation is developed by modelling the pneumatic shock absorber dy

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24

Tấn, Vũ Văn. "OPTIMAL CONTROLLER DESIGN FOR ACTIVE SUSPENSION SYSTEM ON CARS." TNU Journal of Science and Technology 225, no. 13 (2020): 107–13. http://dx.doi.org/10.34238/tnu-jst.3559.

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Hệ thống treo là một trong những bộ phận quan trọng nhất trong thiết kế ô tô và là yếu tố quyết định đến sự thoải mái của lái xe, hành khách (độ êm dịu) và giữ được bám giữa lốp và mặt đường (độ an toàn). Bài báo này giới thiệu một mô hình ¼ ô tô có 2 bậc tự do sử dụng hệ thống treo chủ động với hai bộ điều khiển tối ưu: linear quadratic regulator và linear quadratic gaussian (linear quadratic regulator kết hợp với bộ quan sát Kalman-Bucy). Bằng cách sử dụng bộ quan sát Kalman-Bucy, số lượng cảm biến dùng để đo đạc các tín hiệu đầu vào của bộ điều khiển linear quadratic regulator đã được giảm

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25

Thanoon, Mohammad A., Sohaib R. Awad, and Ismael Kh Abdullah. "LQR controller design for stabilization of non-linear DIP system based on ABC algorithm." Eastern-European Journal of Enterprise Technologies 2, no. 2 (122) (2023): 36–44. http://dx.doi.org/10.15587/1729-4061.2023.275657.

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Abstract:

Inverted pendulum systems, such as double or single, rotational or translational inverted pendulums are non-linear and unstable, which have been the most dominant approaches for control systems. The double inverted pendulum is one kind of a non-linear, unstable system, multivariable, and strong coupling with a wide range of control methods. To model these types of systems, many techniques have been proposed so that motivating researchers to come up with new innovative solutions. The Linear Quadratic Regulator (LQR) controller has been a common controller used in this field. Meanwhile, the Arti

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26

Alonso, C. Amo, D. Ho, and J. M. Maestre. "Distributed Linear Quadratic Regulator Robust to Communication Dropouts." IFAC-PapersOnLine 53, no. 2 (2020): 3072–78. http://dx.doi.org/10.1016/j.ifacol.2020.12.1012.

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27

JOHNSON, C. D. "Limits of propriety for linear-quadratic regulator problems." International Journal of Control 45, no. 5 (1987): 1835–46. http://dx.doi.org/10.1080/00207178708933849.

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28

Zhang, Si Qi, Tian Xia Zhang, and Shu Wen Zhou. "Vehicle Dynamics Control Based on Linear Quadratic Regulator." Applied Mechanics and Materials 16-19 (October 2009): 876–80. http://dx.doi.org/10.4028/www.scientific.net/amm.16-19.876.

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The paper presents a vehicle dynamics control strategy devoted to prevent vehicles from spinning and drifting out. With vehicle dynamics control system, counter braking are applied at individual wheels as needed to generate an additional yaw moment until steering control and vehicle stability were regained. The Linear Quadratic Regulator (LQR) theory was designed to produce demanded yaw moment according to the error between the measured yaw rate and desired yaw rate. The results indicate the proposed system can significantly improve vehicle stability for active safety.

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29

Bender, D., and A. Laub. "The linear-quadratic optimal regulator for descriptor systems." IEEE Transactions on Automatic Control 32, no. 8 (1987): 672–88. http://dx.doi.org/10.1109/tac.1987.1104694.

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30

Grecksch, W., and V. V. Anh. "An Infinite-Dimensional Fractional Linear Quadratic Regulator Problem." Stochastic Analysis and Applications 30, no. 2 (2012): 203–19. http://dx.doi.org/10.1080/07362994.2012.649618.

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31

Das, Dibakar, Gurunath Gurrala, and U. Jayachandra Shenoy. "Linear Quadratic Regulator-Based Bumpless Transfer in Microgrids." IEEE Transactions on Smart Grid 9, no. 1 (2018): 416–25. http://dx.doi.org/10.1109/tsg.2016.2580159.

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32

Tasch, Uri, and Mark L. Nagurka. "Linear Quadratic Regulator With Varying Finite Time Durations." Journal of Dynamic Systems, Measurement, and Control 114, no. 3 (1992): 517–19. http://dx.doi.org/10.1115/1.2897378.

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The optimal state trajectories of time-invariant linear quadratic regulator problems with different time horizons can be found from a single Riccati gain matrix shifted appropriately in time. This result has significant ramifications for real-time implementation of optimal controllers driving systems at various speeds.

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33

Bemporad, Alberto, Manfred Morari, Vivek Dua, and Efstratios N. Pistikopoulos. "The explicit linear quadratic regulator for constrained systems." Automatica 38, no. 1 (2002): 3–20. http://dx.doi.org/10.1016/s0005-1098(01)00174-1.

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34

Boukas, E. K., and Z. K. Liu. "Jump linear quadratic regulator with controlled jump rates." IEEE Transactions on Automatic Control 46, no. 2 (2001): 301–5. http://dx.doi.org/10.1109/9.905698.

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35

Possieri, Corrado, Mario Sassano, Sergio Galeani, and Andrew R. Teel. "The linear quadratic regulator for periodic hybrid systems." Automatica 113 (March 2020): 108772. http://dx.doi.org/10.1016/j.automatica.2019.108772.

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36

Cardenas Alzate, Pedro Pablo, German Correa Velez, and Fernando Mesa. "Optimum control using finite time quadratic linear regulator." Contemporary Engineering Sciences 11, no. 95 (2018): 4709–16. http://dx.doi.org/10.12988/ces.2018.89516.

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37

Zhang, D. M., L. Meng, X. G. Wang, and L. L. Ou. "Linear quadratic regulator control of multi-agent systems." Optimal Control Applications and Methods 36, no. 1 (2013): 45–59. http://dx.doi.org/10.1002/oca.2100.

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38

Helmy, M., A. T. Hafez, and M. Ashry. "CubeSat attitude control via linear quadratic regulator (LQR)." Journal of Physics: Conference Series 2616, no. 1 (2023): 012022. http://dx.doi.org/10.1088/1742-6596/2616/1/012022.

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Abstract The interest in space-related activities has grown recently on a global scale. The determination and control of attitude are necessary all space duties. As it affects the satellites mission accuracy, many researches are related to it. Attitude control systems (ACS) design and modelling are represented in this paper. The mathematical models for CubeSat and reaction wheels that act as actuator and the proposed optimal control system are introduced. The proposed controller is applied to control and stabilize the CubeSat through a set of reaction wheels. The simulation results show the su

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39

Dibyo Laksono, Heru, and M. Reza Permana. "Analisa Performansi Sistem Kendali Frekuensi Tenaga Listrik Multimesin Dengan Metoda Linear Quadratic Regulator (LQR)." Jurnal Nasional Teknik Elektro 3, no. 2 (2014): 167–76. http://dx.doi.org/10.20449/jnte.v3i2.82.

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40

Adel, Bouchahed, Assabaa Mohamed, Draidi Abdellah, Makhloufi Fateh, and Belhani Ahmed. "Improvement of the linear quadratic regulator control applied to a DC-DC boost converter driving a permanent magnet direct current motor." Improvement of the linear quadratic regulator control applied to a DC-DC boost converter driving a permanent magnet direct current motor 13, no. 6 (2023): 6131–40. https://doi.org/10.11591/ijece.v13i6.pp6131-6140.

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This article discusses a new robust control technique that enables the DC-DC boost converter driving a permanent magnet direct current (PMDC) motor to operate in high static and dynamic performances. The new technique is based on the design of a both linear quadratic regulator (LQR) and linear quadratic regulator-proportional integral (LQR-PI) type controllers, which have the advantage of eliminating oscillations, overshoots and fluctuations on different characteristics in steady-state system operation. In order to increase the output voltage, the LQR regulator is combined with a first-order s

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41

Shauqee, Mohamad Norherman, Parvathy Rajendran, and Nurulasikin Mohd Suhadis. "Proportional Double Derivative Linear Quadratic Regulator Controller Using Improvised Grey Wolf Optimization Technique to Control Quadcopter." Applied Sciences 11, no. 6 (2021): 2699. http://dx.doi.org/10.3390/app11062699.

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A hybrid proportional double derivative and linear quadratic regulator (PD2-LQR) controller is designed for altitude (z) and attitude (roll, pitch, and yaw) control of a quadrotor vehicle. The derivation of a mathematical model of the quadrotor is formulated based on the Newton–Euler approach. An appropriate controller’s parameter must be obtained to obtain a superior control performance. Therefore, we exploit the advantages of the nature-inspired optimization algorithm called Grey Wolf Optimizer (GWO) to search for those optimal values. Hence, an improved version of GWO called IGWO is propose

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42

Yan, Xiao, Zhao-Dong Xu, and Qing-Xuan Shi. "Fuzzy neural network control algorithm for asymmetric building structure with active tuned mass damper." Journal of Vibration and Control 26, no. 21-22 (2020): 2037–49. http://dx.doi.org/10.1177/1077546320910003.

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Asymmetric structures experience torsional effects when subjected to seismic excitation. The resulting rotation will further aggravate the damage of the structure. A mathematical model is developed to study the translation and rotation response of the structure during seismic excitation. The motion equations of the structures which cover the translation and rotation are obtained by the theoretical derivations and calculations. Through the simulated computation, the translation and rotation response of the structure with the uncontrolled system, the tuned mass damper control system, and active

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43

Fikri, Muhamad Rausyan, and Djati Wibowo Djamari. "Full-State Feedback Control Design for Shape Formation using Linear Quadratic Regulator." Indonesian Journal of Computing, Engineering and Design (IJoCED) 2, no. 2 (2020): 83. http://dx.doi.org/10.35806/ijoced.v2i2.114.

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This study investigated the capability of a group of agents to form a desired shape formation by designing the feedback control using a linear quadratic regulator. In real application, the state condition of agents may change due to some particular problems such as a slow input response. In order to compensate for the problem that affects agent-to-agent coordination, a robust regulator was implemented into the formation algorithm. In this study, a linear quadratic regulator as the full-state feedback of robust regulator method for shape formation was considered. The result showed that a group

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44

Bigaliyeva, A. Z. "Development of linear-quadratic-gaussian control of the technological process of fine grinding." Bulletin of the National Engineering Academy of the Republic of Kazakhstan 95, no. 1 (2025): 60–71. https://doi.org/10.47533/2025.1606-146x.04.

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The paper is dedicated to research of grinding process in a planetary ball mill. The possibility of continuous control of fineness of grinding with the usage of optimization methods is taken into consideration. The mathematical representation of an object had been built to consider it as the mathematical model. The comparison of given model to data of natural experiments is performed. In the paper, the results of analysis of the main quality points from mathematical model are included. On the model base the linear- quadratic regulator LQG is synthesized, which represents the combination of the

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45

Amertet Finecomes, Sairoel, Fisseha L. Gebre, Abush M. Mesene, and Solomon Abebaw. "Optimization of automobile active suspension system using minimal order." International Journal of Electrical and Computer Engineering (IJECE) 12, no. 3 (2022): 2378. http://dx.doi.org/10.11591/ijece.v12i3.pp2378-2392.

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<p><span>This paper presents an analysis and design of linear quadratic regulator for reduced order full car suspension model incorporating the dynamics of the actuator to improve system performance, aims at benefiting: Ride comfort, long life of vehicle, and stability of vehicle. Vehicle’s road holding or handling and braking for good active safety and driving pleasure, and keeping vehicle occupants comfortable and reasonably well isolated from road noise, bumps, and vibrations are become a key research area conducted by many researchers around the globe. Different researchers wer

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46

Liu, Xiaoxiao, YuanSheng Wang, and XingMin Ren. "Optimal vibration control of moving-mass beam systems with uncertainty." Journal of Low Frequency Noise, Vibration and Active Control 39, no. 3 (2019): 803–17. http://dx.doi.org/10.1177/1461348419844150.

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A linear optimal regulator for uncertain system is designed through the application of the probability density evolution method to linear quadratic regulator controller. One important background of this work is bridge-vehicle/gun-projectile system. This type of optimal problem is currently transformed into a moving load problem. The developed optimal regulator can provide the law of probability densities of outputs varying with time. In order to make the advocated method reach an optimal performance, the beneficial weighting matrix pair (Q, R) is selected using a trade-off sense. The designed

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47

Kudinov, Y. I., E. S. Duvanov, I. Y. Kudinov, et al. "Construction and Analysis of Adaptive Fuzzy Linear Quadratic Regulator." Journal of Physics: Conference Series 1683 (December 2020): 042065. http://dx.doi.org/10.1088/1742-6596/1683/4/042065.

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48

Ohta, H., M. Kakinuma, and P. N. Nikiforuk. "Use of negative weights in linear quadratic regulator synthesis." Journal of Guidance, Control, and Dynamics 14, no. 4 (1991): 791–96. http://dx.doi.org/10.2514/3.20714.

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49

Luo, Jia, and C. Edward Lan. "Determination of weighting matrices of a linear quadratic regulator." Journal of Guidance, Control, and Dynamics 18, no. 6 (1995): 1462–63. http://dx.doi.org/10.2514/3.21569.

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50

GERAY, OKAN, and DOUGLAS P. LOOZE. "Linear quadratic regulator loop shaping for high frequency compensation." International Journal of Control 63, no. 6 (1996): 1055–68. http://dx.doi.org/10.1080/00207179608921883.

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