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Journal articles on the topic 'Linear-Quadratic-Gaussian control problem'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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1

KOUSSOULAS, NICK T., and CORNELIUS T. LEONDES. "The multiple linear quadratic gaussian problem." International Journal of Control 43, no. 2 (1986): 337–49. http://dx.doi.org/10.1080/00207178608933470.

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2

Kim, Beom-Soo, Young-Joong Kim, and Myo-Taeg Lim. "LQG Control for Nonstandard Singularly Perturbed Discrete-Time Systems." Journal of Dynamic Systems, Measurement, and Control 126, no. 4 (2004): 860–64. http://dx.doi.org/10.1115/1.1850537.

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In this paper we present a control method and a high accuracy solution technique in solving the linear quadratic Gaussian problems for nonstandard singularly perturbed discrete time systems. The methodology that exists in the literature for the solution of the standard singularly perturbed discrete time linear quadratic Gaussian optimal control problem cannot be extended to the corresponding nonstandard counterpart. The solution of the linear quadratic Gaussian optimal control problem is obtained by solving the pure-slow and pure-fast reduced-order continuous-time algebraic Riccati equations a

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3

Karp, Larry S. "Higher moments in the linear-quadratic-gaussian problem." Journal of Economic Dynamics and Control 9, no. 1 (1985): 41–54. http://dx.doi.org/10.1016/0165-1889(85)90022-3.

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4

Lu, Xiao, Qiyan Zhang, Xiao Liang, Haixia Wang, Chunyang Sheng, and Zhiguo Zhang. "Optimal control for networked control systems with multiple delays and packet dropouts." International Journal of Advanced Robotic Systems 17, no. 3 (2020): 172988142091376. http://dx.doi.org/10.1177/1729881420913765.

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This article focuses on the problem of optimal linear quadratic Gaussian control for networked control systems with multiple delays and packet dropouts. The main contributions are twofold. Firstly, based on the introduced maximum principle for linear quadratic Gaussian system with multiple input delays and packet dropouts, a nonhomogeneous relationship between the state and costate is obtained, which is the key technical tool to solve the problem. Secondly, a necessary and sufficient condition for the optimal networked control problem is given in virtue of the coupled Riccati equations, and th

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5

Adams, Richard J., and Siva S. Banda. "Combined linear quadratic Gaussian and H-infinity control of a benchmark problem." Journal of Guidance, Control, and Dynamics 15, no. 5 (1992): 1134–39. http://dx.doi.org/10.2514/3.20960.

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6

Zhu, Jin, Gaosheng Zhang, and Wanqing Xie. "Jump linear quadratic Gaussian problem for a class of nonhomogeneous Markov jump linear systems." Optimal Control Applications and Methods 38, no. 4 (2016): 668–80. http://dx.doi.org/10.1002/oca.2271.

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7

Wang, Jiaying, Youming Guo, Lin Kong, et al. "Automatic disturbance identification for linear quadratic Gaussian control in adaptive optics." Monthly Notices of the Royal Astronomical Society 496, no. 4 (2020): 5126–38. http://dx.doi.org/10.1093/mnras/staa1698.

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ABSTRACT Linear quadratic Gaussian (LQG) control is an appealing control strategy to mitigate disturbances in adaptive optics (AO) systems. The key of this method is to quickly and consecutively build an accurate dynamical model to track time-varying disturbances such as turbulence, wind load and vibrations. In order to address this problem, we propose an automatic identification method consisting mainly of an improved spectrum separation procedure and a parameter optimization process based on the particle swarm optimization (PSO) algorithm. The improved spectrum separation can pick out pertur

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Yang, H., G. Yin, K. Yin, and Q. Zhang. "Control of singularly perturbed Markov chains: A numerical study." ANZIAM Journal 45, no. 1 (2003): 49–74. http://dx.doi.org/10.1017/s1446181100013158.

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AbstractThis work is devoted to numerical studies of nearly optimal controls of systems driven by singularly perturbed Markov chains. Our approach is based on the ideas of hierarchical controls applicable to many large-scale systems. A discrete-time linear quadratic control problem is examined. Its corresponding limit system is derived. The associated asymptotic properties and near optimality are demonstrated by numerical examples. Numerical experiments for a continuous-time hybrid linear quadratic regulator with Gaussian disturbances and a discrete-time Markov decision process are also presen

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9

Bensoussan, Alain, and Sheung Chi Phillip Yam. "Mean field approach to stochastic control with partial information." ESAIM: Control, Optimisation and Calculus of Variations 27 (2021): 89. http://dx.doi.org/10.1051/cocv/2021085.

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In our present article, we follow our way of developing mean field type control theory in our earlier works [Bensoussan et al., Mean Field Games and Mean Field Type Control Theory. Springer, New York (2013)], by first introducing the Bellman and then master equations, the system of Hamilton-Jacobi-Bellman (HJB) and Fokker-Planck (FP) equations, and then tackling them by looking for the semi-explicit solution for the linear quadratic case, especially with an arbitrary initial distribution; such a problem, being left open for long, has not been specifically dealt with in the earlier literature,

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Balabanov, Aleksey, Todor Stoilov, and Yordanka Boneva. "Linear-Quadratic-Gaussian Optimization of Urban Transportation Network with Application to Sofia Traffic Optimization." Cybernetics and Information Technologies 16, no. 3 (2016): 165–84. http://dx.doi.org/10.1515/cait-2016-0041.

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Abstract The paper defines and solves a Linear-Quadratic-Gaussian (LQG) optimization problem addressing real time control policy of Urban Transportation Network (UTN). The paper presents UTN model definition, analysis and LQG optimization problem definition, resulting in special problem structure. A real application for UTN situated in Sofia, Bulgaria along Yosif Gurko street was provided for testing this control policy.

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11

Romera, Rosario. "Optimality for the linear quadratic non-Gaussian problem via the asymmetric Kalman filter." International Journal of Adaptive Control and Signal Processing 18, no. 1 (2004): 73–80. http://dx.doi.org/10.1002/acs.779.

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12

Camino, J. F., and I. F. Santos. "A periodic linear–quadratic controller for suppressing rotor-blade vibration." Journal of Vibration and Control 25, no. 17 (2019): 2351–64. http://dx.doi.org/10.1177/1077546319853358.

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This paper presents an active control strategy, based on a time-varying linear–quadratic optimal control problem, to attenuate the tip vibration of a two-dimensional coupled rotor-blade system whose dynamics is periodic. First, a periodic full-state feedback controller based on the linear–quadratic regulator (LQR) problem is designed. If all the states are not available for feedback, then an optimal periodic time-varying estimator, using the Kalman–Bucy filter, is computed. Both the Kalman filter gain and the LQR gain are obtained as the solution of a periodic Riccati differential equation (PR

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13

Xiao, Y., K. Y. Zhu, C. Zhang, K. J. Tseng, and K. V. Ling. "Stabilizing Synchronization Control of Rotor-Magnetic Bearing Systems." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 219, no. 7 (2005): 499–510. http://dx.doi.org/10.1243/095965105x33572.

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Active magnetic bearings, which provide non-contact suspension for high-speed rotors, have received increasing attention in recent years. Although the contactless nature of magnetic bearings brings up many advantages over conventional bearings, one of the challenging problems is to stabilize the rotor of the magnetic bearing systems that is very sensitive to outside disturbances and plant uncertainties. In this paper, a stabilizing synchronization design of rotor-magnetic bearing systems is proposed by incorporating cross-coupling technology into the optimal control architecture, which can be

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14

Kwong, R. H. "On the Linear Quadratic Gaussian Problem with Correlated Noise and Its Relation to Minimum Variance Control." SIAM Journal on Control and Optimization 29, no. 1 (1991): 139–52. http://dx.doi.org/10.1137/0329007.

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15

Mariton, M. "Joint Estimation and Control of Jump Linear Systems With Multiplicative Noises." Journal of Dynamic Systems, Measurement, and Control 109, no. 1 (1987): 24–28. http://dx.doi.org/10.1115/1.3143814.

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Jump Linear Quadratic Gaussian systems are considered in the presence of state-and control-dependent noises. Assuming that the jumps of the model parameters are perfectly observed, it is possible to formulate and solve an optimal input synthesis problem. It is found that the optimal solution does not present the certainty equivalence property, so that the estimation and control synthesis must be treated simultaneously. Optimal equations for the filter and regulator gains are obtained in terms of a set of coupled nonlinear matrix differential equations.

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16

Mahinzaeim, Mahyar. "A new method for proving the separation principle for the infinite-dimensional LQG regulator problem." IMA Journal of Mathematical Control and Information 36, no. 3 (2018): 835–48. http://dx.doi.org/10.1093/imamci/dny008.

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Abstract This paper gives an alternative perspective on the standard linear quadratic Gaussian regulator problem for infinite-dimensional state-space systems. We will show that when considered on an extended Hilbert state-space, the originally stochastic control problem can be phrased as a deterministic one. In this setting we obtain a new method of proof for the well-known separation principle which does not involve probabilistic considerations.

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17

Ahmad, S. M., A. J. Chipperfield, and M. O. Tokhi. "Dynamic modelling and linear quadratic Gaussian control of a twin-rotor multi-input multi-output system." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 217, no. 3 (2003): 203–27. http://dx.doi.org/10.1177/095965180321700304.

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This paper presents an investigation into the modelling and control of a one-degree-of-freedom (1 DOF) twin-rotor multi-input multi-output (MIMO) system (TRMS). The behaviour of the TRMS in certain aspects resembles that of a helicopter. Hence, it is an interesting identification and control problem. A dynamic model characterizing the TRMS in hover is extracted using a black-box system identification technique. The extracted model is employed in the design of a feedback linear quadratic Gaussian compensator, namely the stability augmentation system (SAS). This has a good tracking capability bu

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MIRZA, K. Z. "Linear Quadratic Gaussian Regulator for the Nonlinear Observer-Based Control of a Dynamic Base Inverted Pendulum." INCAS BULLETIN 13, no. 3 (2021): 79–90. http://dx.doi.org/10.13111/2066-8201.2021.13.3.7.

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The inverted pendulum is a non-linear control problem permanently tending towards instability. The main aim of this study is to design a controller capable enough to work within the given conditions while also keeping the pendulum erect given the impulsive movement of the cart to which it is joint via a hinge. The first half of the paper presents the mathematical modelling of the dynamic system, together with the design of a linear quadratic regulator (LQR). This paper also discusses a novel adaptive control mechanism employing a Kalman filter for the mobile inverted pendulum system (MIPS). In

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19

Zhang, Lifu, Heng Zhang, Cunhua Li, and Buxi Ni. "Optimal Jamming Attack Scheduling in Networked Sensing and Control Systems." International Journal of Distributed Sensor Networks 2015 (2015): 1–7. http://dx.doi.org/10.1155/2015/206954.

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This paper investigates the optimal jamming attack scheduling in Networked Sensing and Control Systems (NSCS). From viewpoint of the attacker, we formulate an optimization problem which maximizes the Linear Quadratic Gaussian (LQG) control cost with attacking energy constraint in a finite time horizon. For two special cases, we obtain that the optimal jamming attack schedule is to consecutively attack in the given time horizon. For the general case, we propose an algorithm to find the optimal schedules. Finally, we study the effectiveness of our proposed attack strategies on our established se

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20

Chen, Shinn-Horng, and Jyh-Horng Chou. "Linear Structure Vibration Control Using MFT and Robust Kalman-Filter-Based OMFC Method." Journal of Mechanics 15, no. 1 (1999): 1–9. http://dx.doi.org/10.1017/s1727719100000265.

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ABSTRACTThis paper proposes a robust Kalman-filter-based optimal model-following control (OMFC) methodology for actively suppressing the vibration of the mechanical structure system, which is modeled by the modal force technique (MFT) and subjects to both disturbance/noise uncertainties and linear structured time-varying parameter perturbations. The proposed method can not only avoid the problem of how to choose appropriate weighting matrices in the quadratic cost function of the linear quadratic Gaussian (LQG) control but also make the controlled closed-loop system to have desired system resp

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21

Satoh, Satoshi, Hironori Saijo, and Katsuhiko Yamada. "Optimal Position and Attitude Control of Quadcopter Using Stochastic Differential Dynamic Programming with Input Saturation Constraints." Journal of Robotics and Mechatronics 33, no. 2 (2021): 283–91. http://dx.doi.org/10.20965/jrm.2021.p0283.

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This paper considers the position and attitude control of a quadcopter in the presence of stochastic disturbances. Basic quadcopter dynamics is modeled as a nonlinear stochastic system described by a stochastic differential equation. Subsequently, the position and attitude control is formulated as a nonlinear stochastic optimal control problem with input saturation constraints. To solve this problem, a continuous-time stochastic differential dynamic programming (DDP) method with input saturation constraints is newly proposed. Finally, numerical simulations demonstrate the effectiveness of the

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22

Deng, Weishun, Weimiao Yang, Jianwu Zhang, Pengpeng Feng, and Fan Yu. "A data-driven predictive controller combined with the vector autoregressive with exogenous input model and the propagator estimation method for vehicle lateral stabilization." Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering 235, no. 1 (2020): 94–116. http://dx.doi.org/10.1177/0959651819899825.

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A general predictive controller based on the subspace model identification method is proposed for vehicle stabilization. Traditional predictive controllers are always developed based on the principle model of vehicles, which inevitably suffers from parameter uncertainty and poor adaptability. In contrast to that, the proposed subspace-based general predictive controller is realized by a data-driven process and presents good adaptability in vehicle stability control. Inspired by subspace-based predictor construction, the keys of the predictive controller are as follows: (1) system model identif

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23

Zhu, Rusong, Guofu Yin, Gengsheng Tang, Hai Wang, and Shuangxi Zhang. "Temperature trajectory control of cryogenic wind tunnel with robust L1 adaptive control." Transactions of the Institute of Measurement and Control 40, no. 13 (2017): 3675–89. http://dx.doi.org/10.1177/0142331217728569.

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Temperature control in a cryogenic wind tunnel is the key to realizing finely controlled Reynolds number close to true flight. This study deploys the L1 adaptive control methodology to ensure the total temperature profile of the cryogenic wind tunnel tracks a specified reference trajectory. After introducing a non-linear model of a cryogenic wind tunnel and a linear temperature model, a linear–quadratic–Gaussian (LQG) controller is implemented as the baseline controller. The L1 adaptive controller with piecewise constant adaptive law is used as an augmentation to the baseline controller to can

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24

Zhou, Huimeng, Dan Xu, Xiaoyun Shao, Xizhan Ning, and Tao Wang. "A robust linear-quadratic-gaussian controller for the real-time hybrid simulation on a benchmark problem." Mechanical Systems and Signal Processing 133 (November 2019): 106260. http://dx.doi.org/10.1016/j.ymssp.2019.106260.

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25

Ratković Kovačević, Nada, and Dobrila Škatarić. "Multimodeling Control via System Balancing." Mathematical Problems in Engineering 2010 (2010): 1–20. http://dx.doi.org/10.1155/2010/841830.

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A new approach in multimodeling strategy is proposed. Multimodel strategies in which control agents use different simplified models of the same system are being developed using balancing transformation and the corresponding order reduction concepts. Traditionally, the multimodeling concept was studied using the ideas of multitime scales (singular perturbations) and weak subsystem coupling. For all reduced-order models obtained, a Linear Quadratic Gaussian (LQG) control problem was solved. Different order reduction techniques were compared based on the values of the optimized criteria for the c

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de Souza, Alain G., and Luiz C. G. de Souza. "Satellite Attitude Control System Design Taking into Account the Fuel Slosh and Flexible Dynamics." Mathematical Problems in Engineering 2014 (2014): 1–8. http://dx.doi.org/10.1155/2014/820586.

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The design of the spacecraft Attitude Control System (ACS) becomes more complex when the spacecraft has different type of components like, flexible solar panels, antennas, mechanical manipulators and tanks with fuel. The interaction between the fuel slosh motion, the panel’s flexible motion and the satellite rigid motion during translational and/or rotational manoeuvre can change the spacecraft center of mass position damaging the ACS pointing accuracy. This type of problem can be considered as a Fluid-Structure Interaction (FSI) where some movable or deformable structure interacts with an int

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27

Duda, Zdzislaw. "State estimation in a decentralized discrete time LQG control for a multisensor system." Archives of Control Sciences 27, no. 1 (2017): 29–39. http://dx.doi.org/10.1515/acsc-2017-0002.

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Abstract In the paper a state filtration in a decentralized discrete time Linear Quadratic Gaussian problem formulated for a multisensor system is considered. Local optimal control laws depend on global state estimates and are calculated by each node. In a classical centralized information pattern the global state estimators use measurements data from all nodes. In a decentralized system the global state estimates are computed at each node using local state estimates based on local measurements and values of previous controls, from other nodes. In the paper, contrary to this, the controls are

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Chen, Tsung-Chien, and Shou-Jen Hsu. "Heat-dissipating control of electronic devices using a combination of an adaptive input estimation method and linear quadratic Gaussian problem." Inverse Problems in Science and Engineering 17, no. 2 (2009): 213–27. http://dx.doi.org/10.1080/17415970802082815.

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29

DONG, X. M., MIAO YU, S. L. HUANG, ZUSHU LI, and W. M. CHEN. "HALF CAR MAGNETORHEOLOGICAL SUSPENSION SYSTEM ACCOUNTING FOR NONLINEARITY AND TIME DELAY." International Journal of Modern Physics B 19, no. 07n09 (2005): 1381–87. http://dx.doi.org/10.1142/s0217979205030335.

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MR suspension systems have significant non-linearity and time-delay characteristics. For this reason, linear feedback control of an MR suspension has limited vibration control performance. To address this problem, a four DOF half car suspension model with two MR dampers was adopted. Having analyzed non-linearity and time-delay of the MR suspension, a Human-Simulation Intelligent Control (HSIC) law with three levels was designed. Simulation verified effects of HSIC in solving the problem of non-linearity and time-delay of MR dampers. In comparison, simulation of linear-quadratic gaussian (LQG)

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El Harti, Khalid, Mohammed Rahmoune, Mustapha Sanbi, Rachid Saadani, Mouhcine Bentaleb, and Miloud Rahmoune. "Finite Element Model of Vibration Control for an Exponential Functionally Graded Timoshenko Beam with Distributed Piezoelectric Sensor/Actuator." Actuators 8, no. 1 (2019): 19. http://dx.doi.org/10.3390/act8010019.

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This paper presents a dynamic study of sandwich functionally graded beam with piezoelectric layers that are used as sensors and actuators. This study is exploited later in the formulation of the active control laws, while using the optimal control Linear Quadratic Gaussian (LQG), accompanied by the Kalman filter. The mathematical formulation is based on Timoshenko’s assumptions and the finite element method, which is applied to a flexible beam divided into a finite number of elements. By applying the Hamilton principle, the equations of motion are obtained. The vibration frequencies are found

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31

Joshi, Suresh M. "Controller Design and Parameter Identifiability Studies for a Large Space Antenna." Transactions of the Canadian Society for Mechanical Engineering 9, no. 3 (1985): 125–30. http://dx.doi.org/10.1139/tcsme-1985-0018.

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The problem of control systems synthesis and parameter identifiability are considered for a large, flexible, space-based antenna. Two methods are considered for control system synthesis, the first of which uses torque actuators and collocated attitude and rate sensors, and the second method is based on the linear-quadratic-Gaussian (LQG) control theory. The predicted performance obtained by computing variances of pointing, surface and feed misalignment errors in the presence of sensor noise indicates that the LQG-based controller yields superior results. Since controller design requires the kn

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32

Yin, G. George, and Jiongmin Yong. "A weak convergence approach to hybrid LQG problems with infinite control weights." Journal of Applied Mathematics and Stochastic Analysis 15, no. 1 (2002): 1–21. http://dx.doi.org/10.1155/s1048953302000011.

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This work is concerned with a class of hybrid LQG (linear quadratic Gaussian) regulator problems modulated by continuous-time Markov chains. In contrast to the traditional LQG models, the systems have both continuous dynamics and discrete events. In lieu of a model with constant coefficients, these coefficients vary with time and exhibit piecewise constant behavior. At any time t, the system follows a stochastic differential equation in which the coefficients take one of the m possible configurations where m is usually large. The system may jump to any of the possible configurations at random

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Semeraro, Onofrio, Jan O. Pralits, Clarence W. Rowley, and Dan S. Henningson. "Riccati-less approach for optimal control and estimation: an application to two-dimensional boundary layers." Journal of Fluid Mechanics 731 (August 15, 2013): 394–417. http://dx.doi.org/10.1017/jfm.2013.352.

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AbstractThe control of Tollmien–Schlichting waves in a two-dimensional boundary layer is analysed using numerical simulations. Full-dimensional optimal controllers are used in combination with a setup of spatially localized inputs (actuator and disturbance) and outputs (sensors). The adjoint of the direct-adjoint (ADA) algorithm, recently proposed by Pralits & Luchini (In Seventh IUTAM Symposium on Laminar–Turbulent Transition (ed. P. Schlatter & D. S. Henningson), vol. 18, 2010, Springer), is used to efficiently compute an optimal controller known as a linear quadratic regulator; the

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Scruggs, Jeff T., Ian L. Cassidy, and Sam Behrens. "Multi-objective optimal control of vibratory energy harvesting systems." Journal of Intelligent Material Systems and Structures 23, no. 18 (2012): 2077–93. http://dx.doi.org/10.1177/1045389x12443015.

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This article examines the use of actively controlled electronics to maximize the energy harvested from a stationary stochastic disturbance. In prior work by the authors, it has been shown that when the harvester dynamics are linear and the transmission losses in the electronics are resistive, the optimal feedback controller is the solution to a nonstandard linear-quadratic-Gaussian optimal control problem. This article augments the theory in the following three distinct ways: (a) It illustrates how to use linear matrix inequalities to balance the objective of energy harvesting against other re

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Shan, Xiaobiao, Henan Song, Chong Zhang, Guangyan Wang, and Jizhuang Fan. "Linear System Identification and Vibration Control of End-Effector for Industrial Robots." Applied Sciences 10, no. 23 (2020): 8537. http://dx.doi.org/10.3390/app10238537.

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This paper presents the discrete state space mathematical model of the end-effector in industrial robots and designs the linear-quadratic-Gaussian controller, called LQG controller for short, to solve the low frequency vibration problem. Though simplifying the end-effector as the cantilever beam, this paper uses the subspace identification method to determine the output dynamic response data and establishes the state space model. Experimentally comparing the influences of different input excitation signals, Chirp sequences from 0 Hz to 100 Hz are used as the final estimation signal and the exc

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Gnecco, Giorgio, Alberto Bemporad, Marco Gori, and Marcello Sanguineti. "LQG Online Learning." Neural Computation 29, no. 8 (2017): 2203–91. http://dx.doi.org/10.1162/neco_a_00976.

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Optimal control theory and machine learning techniques are combined to formulate and solve in closed form an optimal control formulation of online learning from supervised examples with regularization of the updates. The connections with the classical linear quadratic gaussian (LQG) optimal control problem, of which the proposed learning paradigm is a nontrivial variation as it involves random matrices, are investigated. The obtained optimal solutions are compared with the Kalman filter estimate of the parameter vector to be learned. It is shown that the proposed algorithm is less sensitive to

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Al-Iedani, Intessar, and Zoran Gajic. "Optimal Control of Wind Turbine Systems via Time-Scale Decomposition." Energies 13, no. 2 (2020): 287. http://dx.doi.org/10.3390/en13020287.

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In this paper, we design an optimal controller for a wind turbine (WT) with doubly-fed induction generator (DFIG) by decomposing the algebraic Riccati equation (ARE) of the singularly perturbed wind turbine system into two reduced-order AREs that correspond to the slow and fast time scales. In addition, we derive a mathematical expression to obtain the optimal regulator gains with respect to the optimal pure-slow and pure-fast, reduced-order Kalman filters and linear quadratic Gaussian (LQG) controllers. Using this method allows the design of the linear controllers for slow and fast subsystems

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Vepa, Ranjan. "Application of the Nonlinear Tschauner-Hempel Equations to Satellite Relative Position Estimation and Control." Journal of Navigation 71, no. 1 (2017): 44–64. http://dx.doi.org/10.1017/s0373463317000364.

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In this paper we develop the nonlinear motion equations in terms of the true anomaly varying Tschauner–Hempel equations relative to a notional orbiting particle in a Keplerian orbit, relatively close to an orbiting primary satellite to estimate the position of a spacecraft. A second orbiting body in Earth orbit relatively close to the first is similarly modelled. The dynamic relative motion models of the satellite and the second orbiting body, both of which are modelled in terms of independent relative motion equations, include several perturbing effects, such as the asymmetry of the Earth gra

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Elbeheiry, E. M., W. H. Elmaraghy, and H. A. Elmaraghy. "A Structured Linear Quadratic Gaussian Based Control Design Algorithm for Machine Tool Controllers Including Both Feed Drive and Process Dynamics." Journal of Vibration and Control 11, no. 7 (2005): 949–83. http://dx.doi.org/10.1177/1077546305055542.

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A new extension of the stochastic linear quadratic Gaussian (LQG) regulator problem is developed and used for the design of new suboptimal cross-coupling controllers for machine tool drives. This new extension allowed us to combine both the drive and the cutting dynamics into a unified model driven by the static and the dynamic portions of the cutting force. The dynamic portion of the cutting force is considered as a stochastic random process in end milling contouring processes. The outputs of the axes are corrected by the cutting tool deflections which result from the cutting force-workpiece

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Li, Wen Bo, Xiao Ran Li, Zhi Gang Zhao, You Yi Wang, and Yang Zhao. "Optimal Piezoelectric Sensors and Actuators Deployment for Active Vibration Suppression of Satellite Antenna Reflector." Advanced Materials Research 479-481 (February 2012): 1490–94. http://dx.doi.org/10.4028/www.scientific.net/amr.479-481.1490.

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To solve the problem of active vibration control for satellite antenna reflector, which is weak damping and closely spaced modes, the optimal actuators/sensors deployment and controller designing need to be considered. Firstly, the optimal criterions of controllability and observability are designed according to the specificity of Gram Matrix eigenvalue in satellite antenna system equations. Secondly, based on the above criterions, piezoelectric materials (as sensors and actuators) and genetic algorithm are utilized to optimize the deployed locations of sensors and actuators. Finally, to suppr

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Mohebbi, Mohtasham, Hamed Dadkhah, and Hamed Rasouli Dabbagh. "A genetic algorithm–based design approach for smart base isolation systems." Journal of Intelligent Material Systems and Structures 29, no. 7 (2017): 1315–32. http://dx.doi.org/10.1177/1045389x17733058.

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This article presents a new approach for designing effective smart base isolation systems composed of a low-damping linear base isolation and a semi-active magneto-rheological damper. The method is based on transforming the design procedure of the hybrid base isolation system into a constrained optimization problem. The magneto-rheological damper command voltages have been determined using H2/linear quadratic Gaussian and clipped-optimal control algorithms. Through a sensitivity analysis to identify the effective design parameters, base isolation and control algorithm parameters have been take

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Sewe, Stanley, Philip Ngare, and Patrick Weke. "Dynamic Credit Quality Evaluation with Social Network Data." Journal of Applied Mathematics 2019 (April 1, 2019): 1–11. http://dx.doi.org/10.1155/2019/8350464.

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We investigate the filtering problem where the borrower’s time varying credit quality process is estimated using continuous time observation process and her (in this paper we refer to the borrower as female and the lender as male) ego-network data. The hidden credit quality is modeled as a hidden Gaussian mean-reverting process whilst the social network is modeled as a continuous time latent space network model. At discrete times, the network data provides unbiased estimates of the current credit state of the borrower and her ego-network. Combining the continuous time observed behavioral data

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Tayebi, Javad, Amir Ali Nikkhah, and Jafar Roshanian. "LQR/LQG attitude stabilization of an agile microsatellite with CMG." Aircraft Engineering and Aerospace Technology 89, no. 2 (2017): 290–96. http://dx.doi.org/10.1108/aeat-07-2014-0102.

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Purpose The purpose of the paper is to design a new attitude stabilization system for a microsatellite based on single gimbal control moment gyro (SGCMG) in which the gimbal rates are selected as controller parameters. Design/methodology/approach In the stability mode, linear quadratic regulator (LQR) and linear quadratic Gaussian (LQG) control strategies are presented with the gimbal rates as a controller parameters. Instead of developing a control torque to solve the attitude problem, the attitude controller is developed in terms of the control moment gyroscope gimbal angular velocities. Att

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Wang, Nengmou, and Hojjat Adeli. "ROBUST VIBRATION CONTROL OF WIND-EXCITED HIGHRISE BUILDING STRUCTURES." Journal of Civil Engineering and Management 21, no. 8 (2015): 967–76. http://dx.doi.org/10.3846/13923730.2015.1068843.

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A robust filtered sliding mode control (SMC) approach is presented for vibration control of wind-excited highrise building structures. Rather than using a Lyapunov-function based control design, an alternative way is provided to find the control force based on the equivalent control force principle to obtain the control force. A low pass filter is properly selected to remove the high-frequency components of the control force while retaining the structural stability. The performance of the proposed filtered SMC is evaluated by application to a wind-excited 76-story building benchmark problem eq

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Zhang, Jie, Jin Huang, Pengbing Zhao, Wei Liang, and Congsi Wang. "Antenna control systems for flexible structure under a wind load." Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 233, no. 9 (2018): 3050–59. http://dx.doi.org/10.1177/0954406218802322.

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Higher levels of pointing (directional) accuracy are required with the increase of diameter of large reflector antennae. The influence of wind disturbance on the level of pointing error has become a serious problem with the increased size of antenna. Newer, larger antenna designs have to combine increased control and more accurate pointing mechanisms that challenge existing technology. With reference to the typical Cassegrain antenna, this paper aims to improve the accuracy of antenna pointing mechanisms under a variety of wind conditions. This is based on the pointing model derived from combi

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Liu, Lei, Fucai Qian, Guo Xie, and Min Wang. "Multi-Model Reliable Control for Variable Fault Systems under LQG Framework." Electronics 8, no. 6 (2019): 632. http://dx.doi.org/10.3390/electronics8060632.

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The problem of reliable control for variable fault systems under linear quadratic Gaussian (LQG) framework is studied in this paper. Firstly, a cluster of models is used to cover the dynamic behaviors of different fault modes of a system and, for each model, LQG control is implemented. By using the a posteriori probability of model innovation as the weight information, a multi-model reliable control (MMRC) is proposed. Secondly, it is proved that MMRC can enable the controller to learn the real operating mode of the system. When the controller is in a deadlock state, a deadlock avoidance strat

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Ahad, Muhammad Abdul, and Sarvat M. Ahmad. "Investigation of a 2-DOF Active Magnetic Bearing Actuator for Unmanned Underwater Vehicle Thruster Application." Actuators 10, no. 4 (2021): 79. http://dx.doi.org/10.3390/act10040079.

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In this work, a novel application of Active Magnetic Bearing (AMB) is proposed to integrate AMB in the Magnetically Coupled Thruster (MCT) assembly for underwater application. In this study, a 2-Degree-Of-Freedom (DOF) AMB is developed and investigated for the MCT of an Unmanned Underwater Vehicle (UUV). The paper presents the detailed electro-mechanical modeling of the in-house developed AMB system. The intractable problem of rotor suspension and rotation with opposing pairs of electromagnets is considered. A Linear Quadratic Gaussian (LQG) controller is designed and analyzed in the frequency

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Shanin, Yu I., and A. V. Chernykh. "Automatic Control Systems for Adaptive Optical Systems: Analytical Review. Part 1: Adaptive Optical System Control of Onboard Laser Installations." Mechanical Engineering and Computer Science, no. 3 (April 8, 2018): 51–68. http://dx.doi.org/10.24108/0318.0001341.

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The first part of the analytical review presents an introduction to automatic control systems (ACS) for the adaptive optical systems (AOS) and control of tip-tilt correctors to eliminate a laser beam jitter. Considers a composition and a purpose of the AOS basic components. Also gives the AOS schemes to be used to form the sharper object images and focus radiation on a target when propagating a laser beam in a turbulent atmosphere. Briefly discusses the general issues of the AOS control, namely single-channel and multichannel linear control, bandwidth limitations of the control system, and pos

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Chen, Y., X. G. Wang, C. Sun, F. Devine, and C. W. De Silva. "Active Vibration Control with State Feedback in Woodcutting." Journal of Vibration and Control 9, no. 6 (2003): 645–64. http://dx.doi.org/10.1177/1077546303009006002.

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Circular saws are widely used in wood processing for applications ranging from primary lumber manufacturing to furniture industry and home workshops. They directly contribute to production problems such as poor cutting accuracy, poor surface quality, short tool life, high noise levels, and excessive raw material wastage. Vibration of the saw blade during woodcutting has been identified as a key reason for poor wood recovery. In fact, about 12% of the raw material in woodcutting ends up as sawdust due to excessive sawing gap. Efficient wood sawing is being pursued with the objective of mitigati

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Guardeño, Rafael, Manuel J. López, and Víctor M. Sánchez. "MIMO PID Controller Tuning Method for Quadrotor Based on LQR/LQG Theory." Robotics 8, no. 2 (2019): 36. http://dx.doi.org/10.3390/robotics8020036.

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In this work, a new pre-tuning multivariable PID (Proportional Integral Derivative) controllers method for quadrotors is put forward. A procedure based on LQR/LQG (Linear Quadratic Regulator/Gaussian) theory is proposed for attitude and altitude control, which suposes a considerable simplification of the design problem due to only one pretuning parameter being used. With the aim to analyze the performance and robustness of the proposed method, a non-linear mathematical model of the DJI-F450 quadrotor is employed, where rotors dynamics, together with sensors drift/bias properties and noise char

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