scholarly journals A LINEAR-QUADRATIC STABILIZATION SYSTEM FOR A CANARD-CONTROLLED MISSILE

2019 ◽  
Keyword(s):  
Stabilization System ◽  
Linear Quadratic ◽  
Quadratic Stabilization

scholarly journals Tuning of a Linear-Quadratic Stabilization System for an Anti-Aircraft Missile

Aerospace ◽  
2021 ◽  
Vol 8 (2) ◽  
pp. 48
Author(s):  
Witold Bużantowicz
Keyword(s):  
Analytical Solutions ◽  
Feedback Loop ◽  
Linear Quadratic Regulator ◽  
Added Value ◽  
Tuning Parameter ◽  
Stabilization System ◽  
Linear Quadratic ◽  
Quadratic Stabilization ◽  
Novel Method ◽  
Selection Of

A description is given of an application of a linear-quadratic regulator (LQR) for stabilizing the characteristics of an anti-aircraft missile, and an analytical method of selecting the weighting elements of the gain matrix in feedback loop is proposed. A novel method of LQR tuning via a single parameter ς was proposed and tested. The article supplements and develops the topics addressed in the author’s previous work. Its added value includes the observation that the solutions obtained are symmetric pairs, and that the tuning parameter ς proposed for the designed linear-quadratic regulator enables the selection of suitable parameters for the airframe stabilizing loop for the majority of the analytical solutions of the considered Riccati equation.

Risk and linear-quadratic stabilization

1984 ◽  
Vol 15 (1-2) ◽  
pp. 73-78 ◽  
Author(s):  
F. van der Ploeg
Keyword(s):  
Linear Quadratic ◽  
Quadratic Stabilization

Optimal robust linear-quadratic stabilization

2007 ◽  
Vol 43 (11) ◽  
pp. 1611-1615
Author(s):  
D. V. Balandin ◽  
M. M. Kogan
Keyword(s):  
Linear Quadratic ◽  
Quadratic Stabilization

LQR/LQG attitude stabilization of an agile microsatellite with CMG

2017 ◽  
Vol 89 (2) ◽  
pp. 290-296 ◽  
Author(s):  
Javad Tayebi ◽  
Amir Ali Nikkhah ◽  
Jafar Roshanian
Keyword(s):  
Attitude Control ◽  
Control Strategies ◽  
Linear Quadratic Regulator ◽  
Stabilization System ◽  
Linear Quadratic ◽  
Content Type ◽  
Attitude Stabilization ◽  
Control Moment ◽  
Angular Velocities ◽  
Simulation Results

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. Attitude control torques are generated by means of a four SGCMG pyramid cluster. Findings Numerical simulation results are provided to show the efficiency of the proposed controllers. Simulation results show that this method could stabilize satellite from initial condition with large angles and with more accuracy in comparison with feedback quaternion and proportional-integral-derivative controllers. These results show the effect of filtering the noisy signal in the LQG controller. LQG in comparison to LQR is more realistic. Practical implications The LQR method is more appropriate for the systems that have project models reasonably exact and ideal sensors/actuators. LQG is more realistic, and it can be used when not all of the states are available or when the system presents noises. LQR/LQG controller can be used in the stabilization mode of satellite attitude control. Originality/value The originality of this paper is designing a new attitude stabilization system for an agile microsatellite using LQR and LQG controllers.

Optimal Linear Quadratic Stabilization of a Magnetic Bearing System

2021 ◽  
pp. 145-154
Author(s):  
Abdelileh Mabrouk ◽  
Olfa Ksentini ◽  
Nabih Feki ◽  
Mohamed Slim Abbes ◽  
Mohamed Haddar
Keyword(s):  
Magnetic Bearing ◽  
Linear Quadratic ◽  
Quadratic Stabilization ◽  
Optimal Linear ◽  
Bearing System

On closed-loop equilibrium strategies for mean-field stochastic linear quadratic problems

2020 ◽  
Vol 26 ◽  
pp. 41
Author(s):  
Tianxiao Wang
Keyword(s):  
Optimal Control ◽  
Closed Loop ◽  
Optimal Control Problems ◽  
Mean Field ◽  
Open Loop ◽  
Time Inconsistency ◽  
Control Problems ◽  
Linear Quadratic ◽  
Linear Quadratic Optimal Control ◽  
Equilibrium Strategies

This article is concerned with linear quadratic optimal control problems of mean-field stochastic differential equations (MF-SDE) with deterministic coefficients. To treat the time inconsistency of the optimal control problems, linear closed-loop equilibrium strategies are introduced and characterized by variational approach. Our developed methodology drops the delicate convergence procedures in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. When the MF-SDE reduces to SDE, our Riccati system coincides with the analogue in Yong [Trans. Amer. Math. Soc. 369 (2017) 5467–5523]. However, these two systems are in general different from each other due to the conditional mean-field terms in the MF-SDE. Eventually, the comparisons with pre-committed optimal strategies, open-loop equilibrium strategies are given in details.

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