• Title/Summary/Keyword: LQR method

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Target Tracking Control of a Quadrotor UAV using Vision Sensor (비전 센서를 이용한 쿼드로터형 무인비행체의 목표 추적 제어)

  • Yoo, Min-Goo;Hong, Sung-Kyung
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.40 no.2
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    • pp.118-128
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    • 2012
  • The goal of this paper is to design the target tracking controller for a quadrotor micro UAV using a vision sensor. First of all, the mathematical model of the quadrotor was estimated through the Prediction Error Method(PEM) using experimental input/output flight data, and then the estimated model was validated via the comparison with new experimental flight data. Next, the target tracking controller was designed using LQR(Linear Quadratic Regulator) method based on the estimated model. The relative distance between an object and the quadrotor was obtained by a vision sensor, and the altitude was obtained by a ultra sonic sensor. Finally, the performance of the designed target tracking controller was evaluated through flight tests.

Hybrid Fuzzy Learning Controller for an Unstable Nonlinear System

  • Chung, Byeong-Mook;Lee, Jae-Won;Joo, Hae-Ho;Lim, Yoon-Kyu
    • International Journal of Precision Engineering and Manufacturing
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    • v.1 no.1
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    • pp.79-83
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    • 2000
  • Although it is well known that fuzzy learning controller is powerful for nonlinear systems, it is very difficult to apply a learning method if they are unstable. An unstable system diverges for impulse input. This divergence makes it difficult to learn the rules unless we can find the initial rules to make the system table prior to learning. Therefore, we introduced LQR(Linear Quadratic Regulator) technique to stabilize the system. It is a state feedback control to move unstable poles of a linear system to stable ones. But, if the system is nonlinear or complicated to get a liner model, we cannot expect good results with only LQR. In this paper, we propose that the LQR law is derived from a roughly approximated linear model, and next the fuzzy controller is tuned by the adaptive on-line learning with the real nonlinear plant. This hybrid controller of LQR and fuzzy learning was superior to the LQR of a linearized model in unstable nonlinear systems.

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Depth Control of a Submerged Body Near the Free Surface by LQR Control Method (LQR 제어 기법을 적용한 수면 근처에서의 수중운동체 심도 제어)

  • Kim, Dong-Jin;Rhee, Key-Pyo;Choi, Jin-Woo;Lee, Sung-Kyun
    • Journal of the Society of Naval Architects of Korea
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    • v.46 no.4
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    • pp.382-390
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    • 2009
  • The submerged body near the free surface is disturbed by the 1st and 2nd order wave forces, which results in unstable movements when no control is applied. In this paper, the vertical motions of the submerged body are analyzed, and the time-variant nonlinear system for the vertical motions of the submerged body is transformed to the time-invariant linear system in state space. Next, depth controller of the submerged body is designed by using LQR control, one of the modern optimal control technique. Numerical simulation shows that effective depth controls can be achieved by LQR control.

Design and Implementation of LG-Servo Controller for Rotational Inverted Pendulum System Using Optimization Method (최적화 기법에 의한 회전형 역진자 시스템의 LQ-Servo 제어기 설계 및 구현)

  • Lee, Kang-Min;Yang, Ji-Hoon;Suh, Byung-Suhl
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.79-81
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    • 2004
  • LQ-Servo controller inherits the stability-robustness from rational LQR structure and also, satisfies performance-robustness that is lacking in LQR structure by importing partial output feedback. In this paper, LQ-Servo controller is suggested for strengthening the performance-robustness. For this, Several executings are effectively performed by implementing to the rotational inverted pendulum system.

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Control of Crane System Using Fuzzy Learning Method (퍼지학습법을 이용한 크레인 제어)

  • Noh, Sang-Hyun;Lim, Yoon-Kyu
    • Journal of the Korean Society of Industry Convergence
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    • v.2 no.1
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    • pp.61-67
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    • 1999
  • An active control for the swing of crane systems is very important for increasing the productivity. This article introduces the control for the position and the swing of a crane using the fuzzy learning method. Because the crane is a multi-variable system, learning is done to control both position and swing of the crane. Also the fuzzy control rules are separately acquired with the loading and unloading situation of the crane for more accurate control. And We designed controller by fuzzy learning method, and then compare fuzzy learning method with LQR. The result of simulations shows that the crane is controlled better than LQR for a very large swing angle of 1 radian within nearly one cycle.

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A Control of Balancing Robot (밸런싱 로봇 제어)

  • Min, Hyung-Gi;Kim, Ji-Hoon;Yoon, Ju-Han;Jeung, Eun-Tae;Kwon, Sung-Ha
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.12
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    • pp.1201-1207
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    • 2010
  • This paper shows to stabilize a balancing robot. We derive the dynamics of a balancing robot and design its controller using LQR method. For stabilizing balancing robot, we introduce a method to detect an angle using inertial sensors. In this study, we use a complementary filter to fuse signals by frequency response of gyroscope and accelerometer in order to measure the inclined angle of balancing robot. The filter coefficients are obtained by least square to minimize error in angle-detecting filter design. And then, after we derive a dynamics of balancing robot using Lagrange method, we linearize that dynamics for using LQR method.

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.

LQR Design Considering Control Input Saturation in Cross-Product Term and Its Application to an Automotive Active Suspension Control (교차곱항에 제어입력의 포화를 고려한 LQR 설계 및 자동차 능동 현가장치 제어에의 응용)

  • Seo, Young-Bong;Choi, Jae-Weon
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.5 s.98
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    • pp.169-174
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    • 1999
  • In this paper, the CLQR(Constrained LQR) controller, which considers the actuator saturation in a cross-product term of a given performance index for an automotive active suspension control has been proposed. The effects of actuator saturations have been reflected directly in the states by using the linear relation between the control input and states. The method proposed here is more effective and intuitive compared with the conventional schemes. The CLQR has been applied to designing an automotive active suspension control system to verify its effectiveness and practical aspects.

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Feedback control strategies for active control of noise inside a 3-D vibro-acoustic cavity

  • Bagha, Ashok K.;Modak, Subodh V.
    • Smart Structures and Systems
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    • v.20 no.3
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    • pp.273-283
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    • 2017
  • This paper presents and compares three feedback control strategies for active control of noise inside a 3-D vibro-acoustic cavity. These are a) control strategy based on direct output feedback (DOFB) b) control strategy based on linear quadratic regulator (LQR) to reduce structural vibrations and c) LQR control strategy with a weighting scheme based on structural-acoustic coupling coefficients. The first two strategies are indirect control strategies in which noise reduction is achieved through active vibration control (AVC), termed as AVC-DOFB and AVC-LQR respectively. The third direct strategy is based on active structural-acoustic control (ASAC). This strategy is an LQR based optimal control strategy in which the coupling between the various structural and the acoustic modes is used to design the controller. The strategy is termed as ASAC-LQR. A numerical model of a 3-D rectangular box cavity with a flexible plate (glued with piezoelectric patches) and with other five surfaces treated rigid is developed using finite element (FE) method. A single pair of collocated piezoelectric patches is used for sensing the vibrations and applying control forces on the structure. A comparison of frequency response function (FRF) of structural nodal acceleration, acoustic nodal pressure, and piezoelectric actuation voltage is carried out. It is found that the AVC-DOFB control strategy gives equal importance to all the modes. The AVC-LQR control strategy tries to consume the control effort to damp all the structural modes. It is seen that the ASAC-LQR control strategy utilizes the control effort more intelligently by adding higher damping to those structural modes that matter more for reducing the interior noise.