• Title/Summary/Keyword: LQR Controller

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Attitude Control of Model Helicopter using the LQR Controller (최적 LQR 제어기를 이용한 모형 헬리콥터의 자세 제어)

  • Han, Hak-Sic;Jeong, Sang-Chul;Kim, Gwan-Hyung;An, Young-Joo;Lee, Hyung-Ki
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2171-2175
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    • 2002
  • Helicopter dynamics are plenty of nonlinearity. A complete mathematical model including propeller dynamics and fortes generated by the propellers is very difficult to obtain. So the method used to design to design a controller is a parameter estimation. Design controller based on variable structure system. This paper deals with LQR control technique to control efficiently, its elevation angle and azimuth one. The purpose of the experiment is to design a controller allows to use a desired elevation angle and azimuth ones. The system model has a helicopter model with 2-degree-of freedom. The simulation results were verified usefulness of controller.

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Balancing the Cubli Frame with LQR-controlled Reaction Wheel (반작용 휠의 LQR 제어를 통한 Cubli 프레임의 균형유지)

  • Kim, Yonghun;Park, Junmo;Han, Seungoh
    • Journal of Sensor Science and Technology
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    • v.27 no.3
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    • pp.165-169
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    • 2018
  • A single-axis Cubli frame realized simply with an IMU sensor and DC motor is presented herein. To maintain the balance on the Cubli frame, an LQR controller based on a Lagrangian derivation of the dynamics was designed, which utilized the state variables of the frame angle and its angular acceleration, as well as the wheel angle and its angular acceleration. The designed LQR controller showed a settling time balancing capability of approximately two seconds and 40% of the maximum overshoot in Matlab/Simulink simulations. Our experimental results of the fabricated Cubli frame matched with the simulation results. It maintained balancing at the reference position even though an initial offset as well as external disturbance during the balancing was applied.

Design of LQR Controller of DSIATCOM for Compensating Voltage Sag Using PSCAD/EMTDC (PSCAD/EMTDC를 이용한 전압 Sag 보상을 위한 배전용 정지형 보상기의 LQR 제어기 설계)

  • 이명언;정수영;최규하
    • Journal of Energy Engineering
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    • v.13 no.1
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    • pp.68-74
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    • 2004
  • This paper presents the design of DSTATCOM (Distribution Static Synchronous Compensator) controller. The results are verified by using PSCAD/EMTDC package. The state equation derived by decomposition analysis of DSTATCOM current component is applied to load model and the combined model which considered constraint condition. In case of single line to ground fault, the conventional method of Pl control is compared with LQR control technique. LQR control is shown to be superior in terms of response profile and composition of voltage sag.

A Study on Control Characteristics of Translation System Using PD Control and LQR (PD제어와 LQR을 이용한 병진 시스템의 제어특성 연구)

  • 김택현;정상화;이동하
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.5
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    • pp.78-84
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    • 2001
  • The translation system is made up of springs, masses and a dashpot. This precise piece of equipment is controlled electro-mechanically by a motor and operating program. The control strategy of the system can be changed by spring stiffness, change of mass, and the damping coefficient of the dashpot. This system proves the necessity and effect of a closed loop control. In this paper, PD control experiments were implemented for the translation system. When the north falter was added on the PD controller, we compared the response characteristics of the two systems. The state feedback controller minimized scalar control gains and the resulting response characteristics of the system were studied using the LQR design. Finally, we improved the response characteristics of the translation system which are rising time, settling time, steady state error, and overshoot LQR was better as compared with PD control.

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Characteristics Comparison of Motion Controllers through Experiments (실험을 통한 모션제어기의 특성비교)

  • Jung, Seung-Hyun;Wang, Jun;Han, Chang-Wook;Park, Jung-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.11
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    • pp.1094-1102
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    • 2008
  • Through the motion control experiment using Industrial Emulator(Model 220 by ECP), the performance comparison of three kinds of controllers such as PID, RIC and LQR was carried out. It was shown that RIC has the best performance in the presence of disturbances such as step one, sinusoidal one and Coulomb friction for the rigid body. LQR using feedback state variables has the best tracking performance far the flexible body. The performance of PID controller is low compared to other controllers, but the design process is simple. The most advanced controller is LQR. In order to attenuate disturbance, an additional state observer should be used to estimate it, making more complex control system. RIC lies between PID and LQR in view of complexity of design. Even though RIC is not complicated, it has good disturbance rejection ability and less tracking error. By considering these aspects, the RIC is suggested as high precision controller to be used in motion control system.

Stabilization Position Control of a Ball-Beam System Using Neural Networks Controller (신경회로망 제어기을 이용한 볼-빔 시스템의 안정화 위치제어)

  • 탁한호;추연규
    • Journal of the Korean Institute of Navigation
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    • v.23 no.3
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    • pp.35-44
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    • 1999
  • This research aims to seek active control of ball-beam position stability by resorting to neural networks whose layers are given bias weights. The controller consists of an LQR (linear quadratic regulator) controller and a neural networks controller in parallel. The latter is used to improve the responses of the established LQR control system, especially when controlling the system with nonlinear factors or modelling errors. For the learning of this control system, the feedback-error learning algorithm is utilized here. While the neural networks controller learns repetitive trajectories on line, feedback errors are back-propagated through neural networks. Convergence is made when the neural networks controller reversely learns and controls the plant. The goals of teaming are to expand the working range of the adaptive control system and to bridge errors owing to nonlinearity by adjusting parameters against the external disturbances and change of the nonlinear plant. The motion equation of the ball-beam system is derived from Newton's law. As the system is strongly nonlinear, lots of researchers have depended on classical systems to control it. Its applications of position control are seen in planes, ships, automobiles and so on. However, the research based on artificial control is quite recent. The current paper compares and analyzes simulation results by way of the LQR controller and the neural network controller in order to prove the efficiency of the neural networks control algorithm against any nonlinear system.

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An Optimal Controller Design for Gun Driving System of Combat Vehicles (기동전투차량의 포 구동장치 최적제어기 설계)

  • Kim, Ji-Young;Lee, Seok-Jae;Lyou, Joon
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.62-65
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    • 2004
  • An optimal robust controller design method for gun driving system is discussed in this paper. The parameters of the gun driving controller are tuned by using the LQR characteristics for the performance and robustness. Tuning method that optimize velocity error gives a significant improvement over the existing PID tuning methods. It is shown that the tuning result of real gun driving system which is regarded as rigidness model or stiffness model satisfy performance and robustness.

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PID Controller Tuning Using LQR method - Time domain approach (LQR방법에 의한 PID제어기 동조 - 시간영역에서의 접근)

  • Yang, Ji-Hoon;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.3-6
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    • 2001
  • This paper presents optimal robust PID controller design method for second order systems to satisfy the design specifications in time domain. The parameters of PID controller are determinated by the weighting factors Q and R of cost function. It is suggested that the selection of Q and R matrix can be determinated by its relationship with the natural frequency of ITAE criterion.

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Lateral vibration control of a low-speed maglev vehicle in cross winds

  • Yau, J.D.
    • Wind and Structures
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    • v.15 no.3
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    • pp.263-283
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    • 2012
  • This paper presents a framework of nonlinear dynamic analysis of a low-speed moving maglev (magnetically levitated) vehicle subjected to cross winds and controlled using a clipped-LQR actuator with time delay compensation. A four degrees-of-freedom (4-DOFs) maglev-vehicle equipped with an onboard PID (Proportional-Integral-Derivative) controller traveling over guideway girders was developed to regulate the electric current and control voltage. With this maglev-vehicle/guideway model, dynamic interaction analysis of a low-speed maglev vehicle with guideway girders was conducted using an iterative approach. Considering the time-delay issue of unsynchronized tuning forces in control process, a clipped-LQR actuator with time-delay compensation is developed to improve control effectiveness of lateral vibration of the running maglev vehicle in cross winds. Numerical simulations demonstrate that although the lateral response of the maglev vehicle moving in cross winds would be amplified significantly, the present clipped-LQR controller exhibits its control performance in suppressing the lateral vibration of the vehicle.