• 제목/요약/키워드: Kinematic Function Optimization

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Resolution of kinematic redundancy using contrained optimization techniques under kinematic inequality contraints

  • Park, Ki-Cheol;Chang, Pyung-Hun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 Proceedings of the Korea Automatic Control Conference, 11th (KACC); Pohang, Korea; 24-26 Oct. 1996
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    • pp.69-72
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    • 1996
  • This paper considers a global resolution of kinematic redundancy under inequality constraints as a constrained optimal control. In this formulation, joint limits and obstacles are regarded as state variable inequality constraints, and joint velocity limits as control variable inequality constraints. Necessary and sufficient conditions are derived by using Pontryagin's minimum principle and penalty function method. These conditions leads to a two-point boundary-value problem (TPBVP) with natural, periodic and inequality boundary conditions. In order to solve the TPBVP and to find a global minimum, a numerical algorithm, named two-stage algorithm, is presented. Given initial joint pose, the first stage finds the optimal joint trajectory and its corresponding minimum performance cost. The second stage searches for the optimal initial joint pose with globally minimum cost in the self-motion manifold. The effectiveness of the proposed algorithm is demonstrated through a simulation with a 3-dof planar redundant manipulator.

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한국형 고속전철용 판토그라프 구조설계 검증 및 설계 최적화 (Structual Design Verification and Design Optimization of Pantograph for Korean Very High Speed Train)

  • 정경렬;김휘준;백진성;박수홍
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2001년도 추계학술대회논문집 II
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    • pp.1229-1234
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    • 2001
  • There are three items, which are panhead displacement, tilting angle of pan head, required moment of main shaft, which representing kinematic performance of pantograph. Kinematic variables effective on kinematic performance are length of each components and installation angle, In this study, cost function is defined with 3 items, By this cost function, length of thrust rod was optimized. Finite element analysis was used to consider structural soundness. Finite element model was qualified by comparison between analysis result with experiment result. By qualified F.E, model various severe condition was simulated to consider structural soundness.

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여유구동 병렬기구의 기구학적 보정 (Kinematic Calibration Method for Redundantly Actuated Parallel Mechanisms)

  • 정재일;김종원
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.355-360
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    • 2002
  • To calibrate a non-redundantly actuated parallel mechanism, one can find actual kinematic parameters by means of geometrical constraint of the mechanism's kinematic structure and measurement values. However, the calibration algorithm for a non-redundant case does not apply fur a redundantly actuated parallel mechanism, because the angle error of the actuating joint varies with position and the geometrical constraint fails to be consistent. Such change of joint angle error comes from constraint torque variation with each kinematic pose (meaning position and orientation). To calibrate a redundant parallel mechanism, one therefore has to consider constraint torque equilibrium and the relationship of constraint torque to torsional deflection, in addition to geometric constraint. In this paper, we develop the calibration algorithm fir a redundantly actuated parallel mechanism using these three relationships, and formulate cost functions for an optimization algorithm. As a case study, we executed the calibration of a 2-DOF parallel mechanism using the developed algorithm. Coordinate values of tool plate were measured using a laser ball bar and the actual kinematic parameters were identified with a new cost function of the optimization algorithm. Experimental results showed that the accuracy of the tool plate improved by 82% after kinematic calibration in a redundant actuation case.

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Sizing, shape and topology optimization of trusses with energy approach

  • Nguyena, Xuan-Hoang;Lee, Jaehong
    • Structural Engineering and Mechanics
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    • 제56권1호
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    • pp.107-121
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    • 2015
  • The main objective of this research is to present the procedures of combining topology, shape & sizing optimization for truss structure by employing strain energy as objective function under the constraints of volume fractions which yield more general solution than that of total weight approach. Genetic Algorithm (GA) is used as searching engine for the convergence solution. A number of algorithms from previous research are used for evaluating the feasibility and stability of candidate to accelerate convergence and reduce the computational effort. It is followed by solving problem for topology & shape optimization and topology, shape & sizing optimization of truss structure to illustrate the feasibility of applying the objective function of strain energy throughout optimization stages.

비용함수와 서브 골을 이용한 비선형 최적화 방법 기반의 이동로봇 장애물 회피 주행 (Mobile Robot Navigation with Obstacle Avoidance based on the Nonlinear Least Squares Optimization Method using the Cost Function and the Sub-Goal Switching)

  • 정영종;김곤우
    • 전기학회논문지
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    • 제63권9호
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    • pp.1266-1272
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    • 2014
  • We define the mobile robot navigation problem as an optimization problem to minimize the cost function with the pose error between the goal position and the position of a mobile robot. Using Gauss-Newton method for the optimization, the optimal speeds of the left and right wheels can be found as the solution of the optimization problem. Especially, the rotational speed of wheels of a mobile robot can be directly related to the overall speed of a mobile robot using the Jacobian derived from the kinematic model. When the robot detects the obstacle using sensors, the sub-goal switching method is adopted for the efficient obstacle avoidance during the navigation. The performance was evaluated using the simulation and the simulation results show the validity of the proposed method.

구속조건을 고려한 자동차 현가장치 기구특성의 최적설계 (Design Optimization for Kinematic Characteristics of Automotive Suspension considering Constraints)

  • 이창노;김효준
    • 한국산학기술학회논문지
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    • 제18권3호
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    • pp.306-311
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    • 2017
  • 본 논문은 자동차 현가장치의 기구적 특성에 대한 설계 최적화에 관한 것이다. 현가장치의 기구적 특성은 토우 및 캠버와 같은 바퀴의 자세를 결정하며 이것은 주행 중 타이어의 마모에 관련될 뿐만 아니라 차량의 운동성능인 조종안정성에 큰 영향을 미친다. 따라서 설계 초기단계에서 현가장치 기구의 특성을 결정하는 것은 매우 중요한 일이다. 본 논문에서는 맥퍼슨 스트러트식 현가장치에 대한 현가장치의 기구적 특성을 파악하기 위하여 변위해석을 수행하였다. 이를 위해 현가장치 기구를 구성하는 조인트에 대한 구속방정식을 세우고 이를 풀 수 있는 프로그램을 작성하였다. 또한 원하고자 하는 현가장치의 기구적 특성을 얻기 위하여 설계 최적화 프로그램인 ADS를 이용하였다. 최적화를 위한 설계변수로서 현가장치의 차체 부착점인 하드 포인트의 좌표로 설정하였으며 목표함수로서 바퀴의 상하운동에 대한 토우-인의 합으로 정의하였다. 구속함수로서 설계 시 제한조건인 최대 캠버각과 최저 롤 중심고를 고려하였다. 본 연구의 결과로서 두 가지 구속함수를 만족하고 토우-인의 변화를 최소로 하는 하드 포인트의 최적위치를 결정할 수 있었다.

와이어로 구동하는 적층형 다관절 구조를 지닌 수술 로봇의 구동 속도를 고려한 기구학적 제어기의 게인 최적화 (Gain Optimization of Kinematic Control for Wire-driven Surgical Robot with Layered Joint Structure Considering Actuation Velocity Bound)

  • 진상록;한석영
    • 로봇학회논문지
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    • 제15권3호
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    • pp.212-220
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    • 2020
  • This paper deals with a strategy of gain optimization for the kinematic control algorithm of a wire-driven surgical robot. The proposed controller consists of the closed-loop inverse kinematics with the back-calculation method. The closed-loop inverse kinematics has 18 PID control gains, and the back-calculation method has 6 gains. An efficient strategy is designed to optimize 18 values first and then the remaining 6 values. The optimal gain sets are searched under the step input with performance indices. In this gain optimization, the objective function is defined as the minimum value of signal-to-noise ratio of the performance indices for 6 DoF (Degree-of-Freedom) motion that is based on the Taguchi method, and the constraints are applied to obtain stable responses for each motion evenly. The gain sets obtained are verified by simulations using the test trajectories. In comparative results, the optimal gain value based on the performance index combined with ISE (integral of square error) and settling time showed the best control performance.

평면 캠-링크 기구의 설계 소프트웨어 개발

  • 양현익;유호윤
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 1995년도 추계학술대회 논문집
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    • pp.788-793
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    • 1995
  • For a linkage mechanism deiven by cam, cam profile is the major design factor and is determined by the motion type od cam follower. If a cam mechanism has additional kinematic linkages besides cam and follower then the follower motion should be specified form the motion of end linkage member so that cam would be able to generate the desired end linkage motion. In this paper, a cam-linkage mechanism is constructed with the combinations of modular linkage elements including cam and follower and as a resullt, a planar cam-linkage mechanism design software with the cam profile optimization function is developed and presented.

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차량의 조종 안정성 향상을 위한 전륜 범프 스터어 최적화 (Optimization of front Bump Steer for Improving Vehicle Handling Performances)

  • 서권희;이윤기;박래석;박상서;윤희석
    • 한국정밀공학회지
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    • 제17권2호
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    • pp.80-88
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    • 2000
  • This paper presents a method to optimize the bump steer characteristics (the change of toe angle with vertical wheel travel) with respect to hard points in the double wishbone front suspension of the four-wheel-drive vehicle using the design of experiment, multibody dynamics simulation, and optimum design program. Front and rear suspensions are modeled as the interconnection of rigid bodies by kinematic joints and force elements using DADS. The design variables with respect to the kinematic characteristics are obtained through the experimental design sensitivity analysis. An object function is defined as the area of absolute differences between the desired and experimental toe angle. By the design of experiment and regression analysis, the regression model function of bump steer characteristics is extracted. The design variables that make the toe angle optimized are selected using the optimum design program DOT. The lane change simulations and tests of the full vehicle models are implemented to evaluate the improvement of vehicle handling performances by the optimization of front bump steer characteristics. The results of the lane change simulations show that the vehicle with optimized bump steer has the weaker understeer tendency than the vehicle with initial bump steer.

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비선형 최적화 방법을 이용한 이동로봇의 주행 (Navigation of a Mobile Robot Using Nonlinear Least Squares Optimization)

  • 김곤우;차영엽
    • 전기학회논문지
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    • 제60권7호
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    • pp.1404-1409
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    • 2011
  • The fundamental research for the mobile robot navigation using the numerical optimization method is presented. We define the mobile robot navigation problem as an unconstrained optimization problem to minimize the cost function with the pose error between the goal position and the position of a mobile robot. Using the nonlinear least squares optimization method, the optimal speeds of the left and right wheels can be found as the solution of the optimization problem. Especially, the rotational speed of wheels of a mobile robot can be directly related to the overall speed of a mobile robot using the Jacobian derived from the kinematic model. It will be very useful for applying to the mobile robot navigation. The performance was evaluated using the simulation.