• 제목/요약/키워드: Nonlinear roll Equation

검색결과 28건 처리시간 0.023초

Position Control of a 3 dof Closed -loop Cylinder System Using ER Valve Actuators

  • Park, Seug-Bok;Cho, Myung-Soo
    • International Journal of Precision Engineering and Manufacturing
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    • 제2권2호
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    • pp.48-56
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    • 2001
  • This paper presents the position tracking control of a closed-loop cylinder system using electro-rheological (ER) valve actuators. After manufacturing three sets of cylindrical ER valves on the basis of Bingham model of ER fluid, a 3 dof(degree-freedom) closed-loop cylinder system having the heave, roll and pitch motions is constructed. The governing equations of motion are derived using Lagrange's equation and a control model is formulated by considering nonlinear characteristics of the system, Sliding mode controllers are the designed for these ER valve actuators in order to achieve position tracking control. The effectiveness of trajectory tracking control performance of the proposed cylinder system is demonstrated through computer simulation and experimental implementation of the sliding mode controller.

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측정치 시간지연과 선체의 유연성을 고려한 전달정렬 기법 (A Transfer Alignment Considering Measurement Time-Delay and Ship Body Flexure)

  • 임유철;유준
    • 한국군사과학기술학회지
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    • 제4권1호
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    • pp.225-233
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    • 2001
  • This paper deals with the transfer alignment problem of SDINS(StrapDown Inertial Navigation System) subjected to roll and pitch motions of the ship. Specifically, to reduce alignment errors induced by measurement time-delay and ship body flexure, an error compensation method is suggested based on delay state augmentation and DCM(Direction Cosine Matrix) partial matching. A linearized error model for the velocity and attitude matching transfer alignment system is first derived by linearizing the nonlinear measurement equation with respect to its time delay and augmenting the delay state into the conventional linear state equations. And then DCM partial matching is properly combined to reduce effects of a ship's Y axis flexure. The simulation results show that the suggested method is effective enough resulting in considerably less azimuth alignment errors.

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ER 밸브 작동기를 이용한 3자유도 폐회로 실린더 시스템의 위치제어 (Position Control of a 3 dof Closed-loop Cylinder System Using ER Valve Actuators)

  • 최승복;조명수
    • 한국정밀공학회지
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    • 제17권3호
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    • pp.165-173
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    • 2000
  • This Paper presents the position tracking control of a closed-loop cylinder system using electro-rheological(ER) valve actuators. After manufacturing three sets of cylindrical ER valves on the basis of Bingham model of ER fluid, a 3 dof(degree-of-freedom) closed-loop cylinder system having the heave, roll and pitch motions is constructed. The governing equations of motion are derived using Lagrange's equation and a control model is formulated by considering nonlinear characteristics of the system. Sliding mode controllers are then designed fer these ER valve actuators in order to achieve position tracking control. The effectiveness of trajectory tracking control performance of the proposed cylinder system is demonstrated through computer simulation and experimental implementation of the sliding mode controller.

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강인한 상태추정에 의한 전달정렬의 선체유연성오차 보상 (Ship Flexure Error Compensation of Transfer Alignment via Robust State Estimation)

  • 임유철;유준
    • 제어로봇시스템학회논문지
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    • 제8권2호
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    • pp.178-184
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    • 2002
  • This paper deals with the transfer alignment problem of SDINS(StrapDown Inertial Navigation System) subjected to roll and pitch motions of the ship. In order to reduce alignment errors induced by ship body flexure, a linearized error model for the velocity and attitude matching transfer alignment system is first derived by linearizing the nonlinear measurement equation with respect to the dominant y axis component and defining the flexure state of random constant type. And then a robust state estimation scheme is introduced to account for modeling uncertainty of the flexure. By interpreting the simulation results and comparing with the velocity and DCM(Direction Cosine Matrix) partial matching method, it is shown that the proposed method is effective enough to improve the azimuth alignment performance.

안티롤링 진자를 이용한 부유체의 횡동요 저감 (Reducing Ship Rolling with a Anti-Rolling Pendulum)

  • 박석주;이금주;박경일
    • 한국항해항만학회지
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    • 제40권6호
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    • pp.361-368
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    • 2016
  • 부유체의 횡동요는 승조원의 피로를 누적시키고, 심지어 구조물 전체를 전복시키기 까지 하고, 또 선체에 반복적인 외력을 가하는 등 부유체의 안정성과 구조물의 안전에 심대한 영향을 끼친다. 그래서 거의 모든 선박의 경우에는 빌지킬을 설치하여 횡동요를 감소시키고 있고, 특수한 경우에는 안티롤링 탱크나 핀 스태빌라이저나 자이로스코프 등을 설치하여 횡동요를 줄이고 있다. 그러나 안티롤링 탱크는 설치하는데 용적을 많이 차지하고, 핀 스태빌라이저나 자이로스코프는 설치비와 유지 관리비가 많이 든다. 본 연구에서는 안티롤링 진자를 이용하여 부유체의 횡동요를 줄이고자 한다. 보통 단진자라고 하면 질량체를 끈으로 어디엔가 고정시켜 놓고 자유롭게 흔들리는 구조를 말한다. 여기에서는 통상의 진자 대신에 진자를 원궤도에 올려놓아서 단진동 운동을 하도록 하는 원리를 이용한다. 제안한 장치를 실험선에 적용하여 그 효능을 입증하였다. 안티롤링 탱크의 약 1/8의 중량과 약 1/6의 용적을 가진 안티롤링 진자를 이용하여 이것보다 더 좋은 효과를 낼 수 있음을 확인하였다. 여기에 더하여 선체에 안티롤링 진자를 부가한 모델의 선형운동방정식과 비선형 운동방정식을 제시하였다.

Influence of Tether Length in the Response Behavior of Square Tension Leg Platform in Regular Waves

  • El-gamal, Amr R.;Essa, Ashraf
    • International Journal of Ocean System Engineering
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    • 제4권1호
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    • pp.19-28
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    • 2014
  • The tension leg platform (TLP) is a vertically moored structure with excess buoyancy. The TLP is regarded as moored structure in horizontal plan, while inherit stiffness of fixed platform in vertical plane. In this paper, a numerical study using modified Morison equation was carried out in the time domain to investigate the influence of nonlinearities due to hydrodynamic forces and the coupling effect between surge, sway, heave, roll, pitch and yaw degrees of freedom on the dynamic behavior of TLP's. The stiffness of the TLP was derived from a combination of hydrostatic restoring forces and restoring forces due to cables and the nonlinear equations of motion were solved utilizing Newmark's beta integration scheme. The effect of tethers length and wave characteristics such as wave period and wave height on the response of TLP's was evaluated. Only uni-directional waves in the surge direction was considered in the analysis. It was found that for short wave periods (i.e. 10 sec.), the surge response consisted of small amplitude oscillations about a displaced position that is significantly dependent on tether length, wave height; whereas for longer wave periods, the surge response showed high amplitude oscillations about that is significantly dependent on tether length.

Response of square tension leg platforms to hydrodynamic forces

  • Abou-Rayan, A.M.;Seleemah, Ayman A.;El-Gamal, Amr R.
    • Ocean Systems Engineering
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    • 제2권2호
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    • pp.115-135
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    • 2012
  • The very low natural frequencies of tension leg platforms (TLP's) have raised the concern about the significance of the action of hydrodynamic wave forces on the response of such platforms. In this paper, a numerical study using modified Morison equation was carried out in the time domain to investigate the influence of nonlinearities due to hydrodynamic forces and the coupling effect between surge, sway, heave, roll, pitch and yaw degrees of freedom on the dynamic behavior of TLP's. The stiffness of the TLP was derived from a combination of hydrostatic restoring forces and restoring forces due to cables and the nonlinear equations of motion were solved utilizing Newmark's beta integration scheme. The effect of wave characteristics such as wave period and wave height on the response of TLP's was evaluated. Only uni-directional waves in the surge direction was considered in the analysis. It was found that coupling between various degrees of freedom has insignificant effect on the displacement responses. Moreover, for short wave periods (i.e., less than 10 sec.), the surge response consisted of small amplitude oscillations about a displaced position that is significantly dependent on the wave height; whereas for longer wave periods, the surge response showed high amplitude oscillations about its original position. Also, for short wave periods, a higher mode contribution to the pitch response accompanied by period doubling appeared to take place. For long wave periods, (12.5 and 15 sec.), this higher mode contribution vanished after very few cycles.

BTT 유도탄의 하중계수 분배논리 연구 (A Study on Polar Converting Logic of BTT Missiles)

  • 이용인;김을곤
    • 한국항공우주학회지
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    • 제32권10호
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    • pp.77-82
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    • 2004
  • 본 논문은 느리거나 정지된 표적을 요격할 수 있는 Bank-to-turn(BTT) 유도탄의 하중계 수 분배논리 (PCL) 에 대해 기술하였다. BTT 제어를 위해서는 직각 좌표계에서 표현된 유도 명령을 극좌표 형태로 변환시켜야만 한다. 이러한 극좌표 변환은 비선형성이 심하고 불연속적인 함수를 포함하고 있어 피치 가속도명령이 0인 경우 가제어성을 상실하는 문제점도 발생한다. 또한 2축 탐색기를 포함하는 BTT 유도탄의 호밍 유도시 롤 상관에 의해 불안정 성이 나타나는 문제점이었다. 본 논문에서는 중기유도 단계에서 그러한 가제어성 상실을 완화시키고 유도명령 추종성능을 향상시킬 수 있도록 linear homotopy 관계식을 도입하였다. 또한, 호밍유도루프의 안정성을 향상시키기 위하여 피지 가속도명령에 대한 민감도를 감소시킬 수 있는 PCL을 구성하였다. 제안한 논리의 타당성은 전산모의시험을 통해 검증 하였다.