• Title/Summary/Keyword: linear quadratic control

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Application Study of Nonlinear Transformation Control Theory for Link Arm System (링크 암에 대한 비선형 변환 제어 이론의 응용 연구)

  • Baek, Y.S.;Yang, C.I.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.94-101
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    • 1996
  • The equations of motion for a basic industrial robotic system which has a rigid or a flexible arm are derived by Lagrange's equation, respectively. Especially, for the deflection of the flexible arm, the assumed mode method is employed. These equations are highly nonlinear equations with nonlinear coupling between the variables of motion. In order to design the control law for the rigid-arm robot, Hunt-Su's nonlinear transformation method and Marino's feedback equivalence condition are used with linear quadratic regulator(LQR) theory. The control law for the rigid-arm robot is employed to input the desired path and to provide the required nonlinear transformations for the flexible-arm robot to follow. By using the implicit Euler method to solve the nonlinear equations, the comparison of the motions between the flexible and the rigid robots and the effect of flexibility are examined.

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Development of Dynamic Modeling and Control Algorithm for Lateral Vibration HILS of Railway Vehicle (철도 차량 횡진동 HILS 를 위한 동적 모델링 및 제어 알고리즘 개발)

  • Lee, Jae-Ha;Kwak, Moon-K.;Yang, Dong-Ho;You, Won-Hee
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2012.04a
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    • pp.713-719
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    • 2012
  • This paper is concerned with the dynamic modeling for the hardware-in-the-loop simulation of lateral vibrations of a railway vehicle. The resulting dynamic model is a nine degree-of-freedom model which can describe the lateral, roll and yaw motions of the car body and two bogies. It is assumed that the external disturbances come from wheel motions. In order to test the efficacy of the model, the linear quadratic regulator and the sky-hook control algorithm were designed and applied to the model. The simulation results show that both control algorithms are effective in suppressing the vibrations of railway vehicles.

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Development of Dynamic Modeling and Control Algorithm for Lateral Vibration HILS of Railway Vehicle (철도 차량 횡진동 HILS를 위한 동적 모델링 및 제어 알고리즘 개발)

  • Lee, Jae-Ha;Kwak, Moon-K.;Yang, Dong-Ho;You, Won-Hee
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.7
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    • pp.634-641
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    • 2012
  • This paper is concerned with the dynamic modeling for the hardware-in-the-loop simulation of lateral vibrations of a railway vehicle. The resulting dynamic model is a nine degree-of-freedom model which can describe the lateral, roll and yaw motions of the car body and two bogies. It is assumed that the external disturbances come from wheel motions. In order to test the efficacy of the model, the linear quadratic regulator and the sky-hook control algorithm were designed and applied to the model. The simulation results show that both control algorithms are effective in suppressing the vibrations of railway vehicles.

A Study on Vibration Control of a Beam Using Magnetostrictive Actuators (자기변형 구동기를 이용한 보의 진동제어)

  • 임채욱;문석준;정태영;박영진
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.433-438
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    • 2003
  • In this paper we explore the effectiveness of a magnetostrictive actuator(MSA) as a structural control device. A series of numerical and experimental tests are carried out with a simple aluminum beam only supported at each end by the actuator. After the equation of motion of the controlled system is obtained by the finite element method, a model reduction is performed to reduce the numbers of degree of freedom. A linear quadratic feedback controller is realized on a real-time digital control system to damp the first four elastic modes of the beam. Through some tests, we confirmed the possibility of this actuator for controlling beam-like structures.

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Active Vibration Control of Smart Hull Structure Using MFC Actuators (MFC 작동기를 이용한 스마트 Hull 구조물의 능동 진동 제어)

  • Sohn, Jung-Woo;Kim, Heung-Soo;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.15 no.12 s.105
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    • pp.1408-1415
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    • 2005
  • Active vibration control of smart hull structure using Macro Fiber Composite (MFC) actuator is performed. Finite element modeling is used to obtain governing equations of motion and boundary effects of end-capped smart hull structure. Equivalent interdigitated electrode model is developed to obtain piezoelectric couplings of MFC actuator. Modal analysis is conducted to investigate the dynamic characteristics of the hull structure, and compared to the results of experimental investigation. MFC actuators are attached where the maximum control performance can be obtained. Active controller based on Linear Quadratic Gaussian (LQG) theory is designed to suppress vibration of smart hull structure. It is observed that closed loop damping can be improved with suitable weighting factors in the developed LQG controller and structural vibration is controlled effectively.

Formation of the Quiet Zone in an Automobile using Headset (헤드셋을 이용한 승용차 실내 저소음 영역의 생성)

  • Lee, Chul;Kim, In-Soo;Hong, Suk-Yoon
    • Journal of KSNVE
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    • v.7 no.2
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    • pp.301-310
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    • 1997
  • This paper presents active noise control method to form the near-field quiet zone for passengers in an automobile. The actuator model including interior acoustic plant, speaker and amplifier is experimentally identified in forms of auto-regressive and moving average by means of least mean square algorithm, The digital controller is composed of the regulator and Kalman filter to be designed based on LQG (linear quadratic gaussian). If the actuator model is prefiltered with digital filter to be properly designed for concentrating control performance index on the frequency band of primary noise source, LQG design approach can be effectively applied for the design of headset controller. Experimental results demonstrate that near-field quiet zone showing about 10dB noise reduction at microphone position can be formed using the headset located at passenger seat.

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GA Based Control Parameter Selection Method for Optimal TCSC Control (GA를 이용한 TCSG 제어기의 파라메터 선정)

  • Kim, Hak-Man;Oh, Tae-Kyoo;Shin, Myong-Chul;Son, Kwang-Myoung
    • Proceedings of the KIEE Conference
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    • 1997.07c
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    • pp.841-843
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    • 1997
  • In this paper we present a Genetic approach to select weighting matrices of LQ(Linear Quadratic) controller for optimal TCSC(Thyristor Controlled Series Capacitor) control. A design of LQ controller depends on choosing weighting matrices. The selection of weighting matrices is usually carried out by trial and error, which is not a trivial problem. We proposed a efficient method using GA of finding weighting matrices for optimal control law. The proposed GA method was applied to design LQ controller of TCSC in one machine infinite bus system and showed good results.

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Guaranteed Cost Control for Uncertain Time-Delay Systems with nonlinear Perturbations via Delayed Feedback (지연귀환을 통한 비선형 섭동이 존재하는 불확실 시간지연 시스템의 성능보장 제어)

  • Park, Ju-Hyun;Kwon, Oh-Min
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.6
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    • pp.581-588
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    • 2007
  • In this paper, we propose a delayed feedback guaranteed cost controller design method for linear time-delay systems with norm-bounded parameter uncertainties and nonlinear perturbations. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, an LMI optimization problem is formulated to design a controller such that the closed-loop cost function value is not more than a specified upper bound for all admissible system uncertainties and nonlinear perturbations. Numerical example show the effectiveness of the proposed method.

Stability Analysis of Fuzzy Control Systems via Convex Optimization (볼록 최적화 기법을 이용한 퍼지 제어기의 안정도 해석)

  • Kim, Eun-Tai;Lee, Hee-Jin
    • Journal of the Institute of Electronics Engineers of Korea CI
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    • v.38 no.6
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    • pp.38-45
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    • 2001
  • In this paper, numerical stability analysis methodology for the singleton-type linguistic fuzzy control systems is proposed. The proposed stability analysis is not the analytical method but the numerical method using the convex optimization of Quadratic Programming (QP) and Linear Matrix Inequalities (LMI). Finally, the applicability of the suggested methodology is highlighted via simulation results.

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Wide-Range Stabilization Control of Underactuated Robot using Fuzzy Controller (퍼지 제어기를 이용한 Underactuated Robot의 광범위 제어)

  • Yoo, Ki-Jeong;Yang, Dong-Hoon;Choi, Hyoun-Chul;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2408-2410
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    • 2001
  • This paper presents the control of an underactuated two-link robot called the Pendubot. Combining linearized state feedback control with Takagi-Sugeno(T-S) fuzzy controller wide-range stabilization of Pendulum is achieved. The local stabilization controler is designed by linearinzing the dynamic equations about the several desired set point and using LQR(Linear Quadratic Regulator) techniques. Takagi-Sugeno methodology is used to control the nonlinear models near different operation points. Fuzzy controller is obtained by the fuzzy blending of the local controllers. The paper includes a description of the algorithm as well as real time experimental results for the Pendubot.

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