• Title/Summary/Keyword: LQR (Linear Quadratic Regulator) control

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The Study on Position Control of Nonlinear System Using Wavelet Neural Network Controller (웨이블렛 신경회로망 제어기를 이용한 비선형 시스템의 위치 제어에 관한 연구)

  • Lee, Jae-Hyun
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.12
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    • pp.2365-2370
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    • 2008
  • In this paper, applications of wavelet neural network controller to position control of nonlinear system are considered. Wavelet neural network is used in the objectives which improve the efficiency of LQR controllers. It is possible to make unstable nonlinear systems stable by using LQR(Linear Quadratic Regulator) technique. And, in order to be adapted to disturbance effectively in this system it uses wavelet neural network controller. Applying this method to the position control of nonlinear system, its usefulness is verified from the results of experiment.

LQR control of Wind Turbine (풍력터빈의 LQR 제어)

  • Nam, Yoon-su;Jo, Jang-whan;Lim, Chang-Hee;Park, Sung-su;Bottasso, Carlo L.
    • Journal of Wind Energy
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    • v.2 no.1
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    • pp.74-81
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    • 2011
  • This paper deals with the application of LQ control to the power curve tracking control of wind turbine. However, two more additional tasks are required to apply the LQR theory to wind turbine control. One is the tracking problem instead of regulation, because the wind turbine is controlled as variable speed and variable pitch. The other is LQ integral control., because the rotor speed should be tightly controlled without any steady state error. Starting from the analysis of wind characteristics, design requirement of a wind turbine control system is defined. A design procedure of LQ tracking with integral control is introduced. The performance of LQ tracking system is analyzed and evaluated by numeric simulation.

fictive Noise Control of Enclosed Sound Field Using LQR Controller (LQR 제어기를 이용한 밀폐음장의 능동소음제어)

  • 유우열;김우영;황원걸;이유엽
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.12 no.1
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    • pp.12-20
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    • 2002
  • To control the noise of an enclosed sound field, we built a state space model using the acoustic modal parameter description. Using the state space model, we can investigate the controllability and observability, and find an appropriate position of control speaker and microphone to control sound field of the enclosed space. We implemented LQR(linear quadratic regulator) controller and reduced order observer to reduce the first acoustic mode. Experiments showed satisfactory results of 4∼10 dB reduction of magnitude of the first acoustic mode, and support the feasibility of the proposed scheme to lightly damped acoustic field.

Extension of the LQR to Accomodate Actuator Saturation Bounds for Flexible Space Structures (제한된 제어입력을 갖는 유연우주구조물에 대한 확장된 LQR)

  • Lee, Sang-Chul
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.8
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    • pp.71-77
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    • 2002
  • We consider the simultaneous slewing and vibration suppression control problem of an idealized structural model which has a rigid hub with two cantilevered flexible appendages and finite tip masses. The finite clement method(FEM) is used to obtain linear finite dimensional equations of motion for the model. In the linear quadratic regulator(LQR) problem, a simple method is introduced to provide a physically meaningful performance index for space structure models. This method gives us a mathematically minor but physically important modification of the usual energy type performance index. A numerical procedure to solve a time-variant LQR problem with inequality control constraints is presented using the method of particular solutions.

Sliding Mode Control for Time-delay System using Virtual State (가상 상태를 이용한 시간 지연 시스템의 슬라이딩 모드 제어)

  • 송영삼;권성하;박승규;오도창;정은태
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.341-341
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    • 2000
  • This paper presents a sliding mode control(SMC) design method for single input linear systems with uncertainties and time delay in the state. We define a sliding surface for the augmented system with a virtual state which is defined from the nominal system. We make a virtual state from optimal control input using LOR(Linear Quadratic Regulator) and the states of the nominal system. We construct a controller that combines SMC with optimal controller. The proposed sliding mode controller stabilizes on the overall closed-loop 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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STATION-KEEPING MANEUVERS FOR A GEOSTATIONARY SATELLITE USING LINEAR QUADRATIC REGULATOR (선형제차조절법을 이용한 정지궤도 위성의 위치보존 궤도조정)

  • 이선익;최규홍;이상욱
    • Journal of Astronomy and Space Sciences
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    • v.14 no.1
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    • pp.142-149
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    • 1997
  • This paper applied one of the well-known optimal control theory, namely, linear quadratic regulator(LQR), to the station-keeping maneuvers(SKM) for a geostationary satellite. The boundary conditions to transfer the system with a good accuracy at a terminal time were based upon the predicted orbital data which are created due to the Earth's non-uniform mass distribution's effect during 14 days and due to luni-solar effect during 28 days. Through the linearization of the nonlinear system equation with respect to reference orbit and the numerical integration of Riccati equation, the optimal trajectories and the corresponding control law have been obtained by using LQR. From the comparison of ${\Delta}V$ obtained by LQR with the ${\Delta}V$ obtained anatically by geometric method, Station Keeping Maneuvers(SKM) via LQR may provide comparable results to a real system. Furthermore it will demonstrate the possibility in fuel optimization and life extension of geostationary satellite.

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Linear Quadratic Controller Design of Insect-Mimicking Flapping Micro Aerial Vehicle (곤충모방 날갯짓 비행체의 LQ 제어기 설계)

  • Kim, Sungkeun;Kim, Inrae;Kim, Seungkeun;Suk, Jinyoung
    • Journal of Advanced Navigation Technology
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    • v.21 no.5
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    • pp.450-458
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    • 2017
  • This paper presents dynamic modelling and simulation study on attitude/altitude control of an insect-mimicking flapping micro aerial vehicle during hovering. Mathematical modelling consists of three parts: simplified flapping kinematics, flapping-wing aerodynamics, and six degree of freedom dynamics. Attitude stabilization is accomplished through linear quadratic regulator based on the linearized model of the time-varying nonlinear system, and altitude control is designed in the outer loop using PID control. The performance of the proposed controller is verified through numerical simulation where attitude stabilization and altitude control is done for hovering. In addition, it is confirmed that the attitude channel by periodic control is marginally stable against periodic pitching moment caused by flapping.

Design of Guidance and Control System for X-plane Submarine (X타 수중함의 유도·제어시스템 설계)

  • Park, Jong-Yong;You, Youngjun;Jeon, Myungjun;Yoon, Hyeon-Kyu
    • Journal of the Society of Naval Architects of Korea
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    • v.59 no.5
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    • pp.306-313
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    • 2022
  • Most submarines use the cross-plane, which is convenient and inexpensive, but the number of submarines equipped with an X-plane is increasing recently. This study focuses on designing the control system of the X-plane submarine with various control methods and analyzing the effect of each controller. First, a maneuvering simulation environment for a subjected submarine is established. The dynamics and the operating range of control surfaces are considered. Second, a depth and heading control system of the submarine, which can be divided into three parts, is designed: guidance, controller, and control allocation. The guidance system generates a smooth desired depth and heading. The controller is designed using Proportional-Integral-Differential (PID), Linear Quadratic Regulator (LQR), and H-infinity (H∞) control methods. A linear control allocation method is used to distribute control moment calculated by the controller to the control surfaces. Finally, the designed control system is applied to a subjected X-plane submarine, and a depth and heading control simulations are performed. Each control method is compared and analyzed under various simulation conditions.

The Control Rod Speed Design for the Nuclear Reactor Power Control Using Optimal Control Theory (최적제어이론에 의한 원자로 제어봉속도의 설계)

  • Lee, Yoon-Joon
    • Nuclear Engineering and Technology
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    • v.26 no.4
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    • pp.536-547
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    • 1994
  • The state feedback optimal control techniques are used in designing the reactor control system. The mathematical plant model with the temperature feedback effects is established from the one delayed neutron group point kinetics equation and the singly lumped thermal-hydraulic balance equations, and is expressed in terms of state variables. The LQR (Linear Quadratic Regulator) control system is designed, being followed by the LQG (Linear Quadratic Gaussian) design to determine the optimal conditions of rod movement for the desired reactor power responses. And two different servo control schemes, the ordinary feedback system and the order increased regulating system, are proposed for the purpose of input tacking. The general control characteristics such as stability margins and output responses are discussed. Comparing each other, it is found that the order increased regulating system has far better control characteristics than the ordinary feedback system.

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