• Title/Summary/Keyword: Nonlinear 6-DOF equation

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Analytical study of wind-rain-induced cable vibration : 2DOF model

  • Wang, L.Y.;Xu, Y.L.
    • Wind and Structures
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    • v.6 no.4
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    • pp.291-306
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    • 2003
  • Many investigations have been conducted to find out the reason behind wind-rain-induced cable vibration in cable-stayed bridges. A single-degree-of-freedom (SDOF) analytical model, which could capture main features of wind-rain-induced cable vibration, was recently presented by the writers. This paper extends the SDOF model to a 2DOF model by including the equation of motion of upper rivulet. The interaction between the upper rivulet and the cable is described in terms of nonlinear damping force, linear restoring force, and inertia force. The computed results using the 2DOF model are first compared with the results from simulated wind-rain tunnel tests, and the comparison is found satisfactory in general. The possible mechanisms of wind-rain-induced cable vibration are discussed and a parametric study is then conducted. Finally, the computed results using the 2DOF model are compared with those predicted by the SDOF model. The 2DOF model is found better than the SDOF model but the SDOF model is still acceptable for its simplicity.

Design and Performance Evaluation of Controller for Unstable Motion of Underwater Vehicle after Water Entry (수중운동체 입수 초기의 불안정 거동에 대한 제어기 설계 및 성능평가)

  • Park, Yeong-Il;Ryu, Dong-Ki;Kim, Sam-Soo;Lee, Man-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.16 no.6
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    • pp.166-175
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    • 1999
  • This paper describes a design and performance evaluation of robust controller which overrides unstable motion and pulls out quickly after water entry of underwater vehicle dropped from aircraft or surface ship. We use 6-DOF equation for model of motions and assume parameter uncertainty to reflect the difference of real motion from modelled motion equation. we represent a nonlinear system with uncertainty as Takagi and Sugeno's(T-S) fuzzy models and design controller stabilizing them. The fuzzy controller utilizes the concept of so-called parallel distributed compensation (PDC). Finally, we confirm stability and performance of the controller through computer simulation and hardware in the loop simulation (HILS).

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Design of an Autopilot for the BTT Missile using 2DOF Wiener-Hopf Methods (2자유도 위너-호프 제어기법을 이용한 BTT 유도탄의 자동조종장치 설계)

  • Min, Deuk-Gi;Lee, Jong-Sung;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.569-572
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    • 1999
  • This paper presents a method for designing an autopilot of the BTT missile using 2DOF Wiener-Hopf control technique to improve tracking performance. Linear controllers are designed based on the linearized models which are obtained from the nonlinear missile dynamic equations at various operating points. The gain scheduling technique is used to implement the final autopilot. A simulation on the flight of missiles is carried out through the use of 6DOF equation program including exact nonlinear equations of the missile and the variations of aerodynamic variables in order to check applicability of the suggested method in real situation.

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Design of the Estimator of Forward Kinematics Solution for a 6 DOF Motion Bed (6자유도 운동재현용 베드의 순기구학 추정기 설계)

  • 강지윤;김동환;이교일
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.483-487
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    • 1996
  • We consider the estimation of the position and orientation of 6 DOF motion bed (Stewart platform) from the measured cylinder length. The solution of forward kinematics is not solved yet as a useful realtime application tool because of the complity of the equation with multiple solutiple solutions. Hence we suggest an algorithm for the estimation of forward kinematics solution using Luenberger observer withnonlinear error correction term. The Luenberger observer withlinear model shows that the estimation error does not go to zero in steadystate due to the linearization error of the dynamic model. Hence the linear observer is modified using nonlinear measurement error equation and we prove thd practical stability of the estimation error dynamics of the proposed observer using lyapunov function.

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Dynamics Modeling and Behavior Analysis of Underwater Glider System

  • Nam, Keon-Seok;Kim, Donghee;Choi, Hyeung-Sik;Lee, Shin-je;Kim, Joon-Young
    • Journal of Advanced Research in Ocean Engineering
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    • v.3 no.1
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    • pp.25-31
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    • 2017
  • Generally, underwater gliders do not have separate propellers for their forward movement. They derive a propulsive force due to the difference between their buoyancy and gravity. The attitude of an underwater glider is controlled by changing the relative position of the buoyancy center and mass center. In this study, we derived nonlinear 6-DOF dynamic and mathematical models for the motion controller and buoyancy controller. Using these equations, we performed dynamic underwater glider simulations and verified the suitability of the design and dynamic performance of the proposed underwater glider.

Robust estimator design for the forward kinematics solution of stewart platform (스튜어트 플랫폼의 견실한 순기구학 추정기 설계)

  • 강지윤;김동환;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.28-31
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    • 1996
  • We propose an estimator design method of Stewart platform, which gives the 6DOF, positions and velcities of Stewart platform from the measured cylinder length. The solution of forward kinematics is not solved yet as a useful realtime application tool because of the complexity of the equation with multiple solutions. Hence we suggest an nonlinear estimator for the forward kinematics solution using Luenberger observer with nonlinear error correction term. But the way of residual gain selection of the estimator is not clear, so we suggest an algebraic Riccati equation for gain matrix using Lyapunov method. This algorithm gives the sufficient condition of the stability of error dynamics and can be extended to general nonlinear system.

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A Study on Hovering Flight Control for a Model Helicopter (모형 헬리콥터 정지비행제어에 관한 연구)

  • 심현철;이은호;이교일
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.6
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    • pp.1399-1411
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    • 1994
  • A model helicopter has more versatile flight capability than the fixed-wing aircraft and it can be used as an unmaned vehicle in hazardous area. A helicopter, similar to other aircrafts, is an unstable, multi-input multi-output nonlinear system exposed to strong disturbance. So it should be controlled by robust control theories that can be applied to multivariable systems. In this study, motion equations of hovering are established, linearized and transformed into a state equation form. Various parameters are measured and calculated in other to obtain the stability derivatives in the state equation. Hovering flight controller is designed using the digital LQG/LTR(Linear Quadratic Gaussian/Loop Transfer Recovery) control theory. The designed controller is tested by the nonlinear simulations and implemented on an IBM-PC/386. Experiments were carried out on a model helicopter attached to the 3-DOF gimbal. The designed controller showed satisfactory hovering capability to maintain the hovering for more than 40 seconds.

Design of an Autopilot for the Bank-to-Turn Missile using Wiener-Hopf Methods (위너-호프 제어기법을 이용한 BTT 유도탄의 자동조종장치 설계)

  • Min, Deuk-Gi;Park, Ki-Heon
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.6
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    • pp.45-56
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    • 1999
  • This paper presents a method for designing an autopilot of the BTT missile using 2DOF Wiener-Hopf control technique to improve tracking performance. Linear controllers are designed based on the linearized models which are obtained from the nonlinear missile dynamic equations at various operating points. The gain scheduling technique is used to implement the final autopilot. A simulation on the flight of missiles is carried out through the use of 6DOF equation program including exact nonlinear equations of the missile and the variations of aerodynamic variables in order to check applicability of the suggested method in real situation.

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Tracking Control of 6-DOF Shaking Table with Bell Crank Structure (벨 크랭크 구조를 가지는 6 자유도 진동 시험기의 추적 제어)

  • Jeon, Duek-Jae;Park, Sung-Ho;Park, Young-Jin;Park, Youn-Sik;Kim, Hyoung-Eui
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.306-309
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    • 2005
  • This parer describes the tracking control simulation of 6-DOF shaking table with a bell crank structure, which converts the direction of reciprocating movements. For the Joint coordinate-based control which uses lengths of each actuator, the trajectory conversion process inverse kinematics is performed. Applying the Newton-Euler approach, the dynamic equation of the shaking table is derived. To cope with nonlinear problems, time-delay control(TDC) is considered, which has been noted for its exceptional robustness to parameter uncertainties and disturbance, in addition to steady-state accuracy and computational efficiency. If the nominal model is equal to the real system, joint coordinate-based control can be very efficient. However, manufacturing tolerances installation errors and link offsets contaminate the nominal values of the kinematic parameters used in the kinematic model of the shaking table. To compensate differences between the nominal model and the real system. the joint coordinate-based control using acceleration feedback in the Cartesian coordinate space is proposed.

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Derivation and Verification of the Relative Dynamics Equations for Aerial Refueling (공중재급유를 위한 상대운동방정식 유도 및 검증)

  • Jang, Jieun;Lee, Sangjong;Ryu, Hyuk
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.21 no.4
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    • pp.1-10
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    • 2013
  • This paper addresses the derivation of 6-DOF equation of Tanker and Receiver's aircraft for aerial refueling. The new set of nonlinear equations are derived in terms of the relative translational and rotational motion of receiver aircraft respect to the tanker aircraft body frame. Further the wind effect terms due to the tanker's turbulence are included. The derivation of absolute dynamic equation for tanker aircraft written in the inertial frame is calculated from the relative dynamics equations of receiver. The derived relative and absolute equations are implemented the simulation in the same flight conditions to verify the relative motion and compare the trim results by using the MATLAB/SIMULINK program.