• Title/Summary/Keyword: 2DOF model

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Damage identification of structures by reduction of dynamic matrices using the modified modal strain energy method

  • Arefi, Shahin Lale;Gholizad, Amin
    • Structural Monitoring and Maintenance
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    • v.7 no.2
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    • pp.125-147
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    • 2020
  • Damage detection of structures is one of the most important topics in structural health monitoring. In practice, the response is not available at all structural degrees of freedom, and due to the installation of sensors at some degrees of freedom, responses exist only in limited number of degrees of freedom. This paper is investigated the damage detection of structures by applying two approaches, AllDOF and Dynamic Condensation Method (DCM), based on the Modified Modal Strain Energy Method (MMSEBI). In the AllDOF method, mode shapes in all degrees of freedom is available, but in the DCM the mode shapes only in some degrees of freedom are available. Therefore by methods like the DCM, mode shapes are obtained in slave degrees of freedom. So, in the first step, the responses at slave degrees of freedom extracted using the responses at master degrees of freedom. Then, using the reconstructed mode shape and obtaining the modified modal strain energy, the damages are detected. Two standard examples are used in different damage cases to evaluate the accuracy of the mentioned method. The results showed the capability of the DCM is acceptable for low mode shapes to detect the damage in structures. By increasing the number of modes, the AllDOF method identifies the locations of the damage more accurately.

Dynamic Modeling of 2 DOF Parallel Manipulator (2 자유도 병렬 메니퓰레이터의 동적 모델링)

  • Lee, Jong Gyu;Lee, Sang Ryong;Lee, Choon Young;Yang, Seung Han
    • Journal of the Korean Society for Precision Engineering
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    • v.31 no.10
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    • pp.897-904
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    • 2014
  • In this paper, two-DOF parallel manipulator has the sliders which execute a linear reciprocating motion depending on parallel guides and the end-effector which can be adjusted arbitrarily. To investigate the dynamic characteristics of the manipulator, the dynamic performance index is used. The index is able to be obtained by the relation between the Jacobian matrix and the inertia matrix. The kinematic and the dynamic analysis find these matrices. Also, the dynamic model of the manipulator is derived from the Lagrange formula. This model represents complicated nonlinear equations of motion. With the simulation results of the dynamic characteristic of the manipulator, we find that the dynamic performance index is based on the selection of the ranges for the continuous movement of the manipulator and the dynamic model derived can be used to the control algorithm development of the manipulator.

Anti-sway Control for Crane System Using Two Degree of Freedom Servo Controller (2자유도 서보제어기를 이용한 크레인의 Anti-sway 제어)

  • 이진우;여태경;김환성;김상봉
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.555-558
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    • 1995
  • In designing the anti-sway controller for crane system in the industrial field, one of the basic problem is to keep the stability of system, even if the mathematical model of the plant is not exact and disturbance exists. Form this point of view, a two-degree-of-freedom(2DOF) servo controller effact to the system in which the integral compensation is effctive only when a modeling error and/or a disturbance input exist. In this paper, the change of load weight and variation of wire rope length considered as the structured uncertainty, and design the 2DOF servo contorller using independently the informations of reference signal and control output with both feedforward and feedback. The effectivenss is proved through the results for the anti-sway system in the system with the position control of trolley.

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A Study on Robustness of a Two-Degree-of-Freedom Servosystem with Nonlinear Type Uncertainty(II) - Rubust Stability Condition (비선형 불확실성에 대한 서보계의 강인성에 관한 고찰(II) - 강인 안정성 조건)

  • Kim, Young-Bok
    • Journal of Ocean Engineering and Technology
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    • v.13 no.3B
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    • pp.99-105
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    • 1999
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers a robust stability of this 2DOF servosystem with nonlinear type uncertainty in the system, and a robust stability condition for the servosystem is introduced. This result guarantees that if the plant uncertainty is in the permissible set defined by the condition, gain tuning can be carried out to suppress the influence of the plant uncertainties and disturbance inputs.

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2 DOF robust performance controller design for linear system with time delay and parameter uncertainty (시간지연 및 파라미터 불확실성을 갖는 선형 시스템의 2 자유도 견실성능 제어기 설계)

  • 이갑래;정은태;최봉렬;박홍배
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.34S no.1
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    • pp.43-53
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    • 1997
  • A robust stability condition for linear systems with time delay in all variables and parameter uncertainties in all system matrices is derived. Robust performance condition that accounts for robust model-matching of closed loop system and disturbance rejection is also derived. Using the robust performance condition, robust $H^{\infty}$ controller and .mu.(sgructured singular value) controller with two-degree-of-freedom(2DOF) are designed. The controller structure is considered for $H^{\infty}$ controller, while uncertainity structure is considered for .mu. controller. Using the proposed method, $H^{\infty}$ and .mu. controllers for underwater vehicle with time delay and parameter variations are designed. Simulations of a design example with hydrodynamic parameter variations and disturbance are presented to demonstrate the achievement of good robust performance.ce.

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Robust stability of a two-degree-of-freedom servosystem incorporating an observer with multiplicative uncertainty (관측기를 갖는 2자유도 서보계의 승법적인 불확실성에 대한 강인한 안정성)

  • Kim, Young-Bok;Yang, Joo-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.1
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    • pp.1-8
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    • 1997
  • In order to reject the steady-state tracking error, it is common to introduce integral compensators in servosystems for constant reference signals. However, if the mathematical model of the plant is exact and no disturbance input exists, the integral compensation is not necessary. From this point of view, a two-degree-of-freedom(2DOF) servosystem has been proposed, in which the integral compensation is effective only when there is a modeling error or a disturbance input. The present paper considers robust stability of this 2DOF servosystem incorporating an observer to the structured and unstructured uncertainties of the controlled plant. A robust stability condition is obtained using Riccati inequality, which is written in a linear matrix inequality (LMI) and independent of the gain of the integral compensator. This result impies that if the plant uncertainty is in the allowable set defined by the LMI condition, a high-gain integral compensation can be carried preserving robust stability to accelerate the tracking response.

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A study on the development of $H_{\infty}$ 2-DOF controller for servo motors (서보모터 제어를 위한 $H_{\infty}$ 2-자유도 제어기 개발에 관한 연구)

  • Park, Sung-Chun;Park, Se-Hwa;Kim, Hee-Jun;Choi, B.W.
    • Proceedings of the KIEE Conference
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    • 1999.07g
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    • pp.3073-3076
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    • 1999
  • In this paper, $H_{\infty}$ two-degree-of freedom(2-DOF) model following control method is applied for the control of a brushless servo motor to achieve high robust performance. The proposed robust control algorithm designed to meet the robust stability and performances present that the robust control method is superior to conventional control methods in controlling the speed and position of a servo motor. The designed controller is implemented as an outer loop controller to a factory designed motor-servopack system. It is illustrated by simulations that the proposed method is effective to control servo systems.

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Locomotion of Biped Robots on Irregular Surface Based on Pseudo-Impedance Model (의사-임피던스 모델을 이용한 비평탄면에서의 2족보행로봇의 보행)

  • Shin, Hyeon-Sik;Park, Jong-Hyeon;Kwon, O-Hung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.34 no.6
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    • pp.667-673
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    • 2010
  • This paper proposes a control method based on a pseudo-impedance model to control the motion of biped robots walking on an uneven surface. The pseudo-impedance model simulates the action of the ankle of a foot landing on the ground when a human walks. When the foot is in contact with the ground, the human ankle goes through two different phases. In the first phase, the human exerts little or no effort and applies no torque on the ankle so that the orientation of the foot is effortlessly and passively adjusted with respect to the ground. In the second phase of landing, the ankle generates a significant amount of torque in order to rotate and move the main part of the human body forward and to support the weight of the human; this phase is called the weight acceptance phase. Computer simulations of a 12-DOF biped robot with a 6-DOF environment model were performed to determine the effectiveness of the proposed pseudo-impedance control. The simulation results show that stable locomotion can be achieved on an irregular surface by using the proposed model.

Optimal Control Design for Automatic Ship Berthing by Using Bow and Stern Thrusters

  • Bui, Van Phuoc;Jeong, Jeong-Soon;Kim, Young-Bok;Kim, Dong-Wook
    • Journal of Ocean Engineering and Technology
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    • v.24 no.2
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    • pp.10-17
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    • 2010
  • Conventionally, because it is difficult to control a ship in shallow water and because attempting to do so creates unwanted environmental effects, maneuvering ships in the harbor area for berthing is usually done with the assistance of tugboats. In this paper, we propose a new method for berthing ships automatically by using bow and stern thrusters. Specifically, a steering motion model of a ship is considered, and parameters in the equation are evaluated by the system identification technique. An optimal controller based on observations was designed from the linearization of the non-linear ship motion in the horizontal plane. It is used to reduce the uncertainty about the ship's dynamics and reduce measurement requirements. The performance of the controller was also analyzed for its robustness relative to avoiding disturbing the environment due to winds, currents, and wave-drift forces. Experiments were conducted to estimate the potential for identifying result and the design of the controller. Specifically, in this paper, the system modeling and tracking control approach are discussed based on a two-degree-of-freedom (2DOF) servo-system design.

2D Modeling and Brake System Simulation of a Train (철도차량 2D 모델링 및 제동시스템 시뮬레이션)

  • Kang, Chul-Goo;Kim, Ho-Yeon;Goo, Byeong-Choon
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.811-816
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    • 2008
  • Train dynamics affects significantly safe and efficient operation of a train, especially during traction or braking period. Train dynamics is intrinsically complex due to many DOF motions in a three-dimensional space, and its behavior during the braking stage is too complex to understand and design an effective braking logic of the train. In this paper, we present a two-dimensional model with three DOF motion in a longitudinal, vertical, and pitch direction for the Hanvit 200 tilting train, which is efficient to analyze a braking performance. Furthermore, we analyze the braking logic and simulate the braking process of the Hanvit 200 tilting train using Simulink.

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