• Title/Summary/Keyword: Robot Trajectory Optimization

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Motion Planning and Control of Wheel-legged Robot for Obstacle Crossing (휠-다리 로봇의 장애물극복 모션 계획 및 제어 방법)

  • Jeong, Soonkyu;Won, Mooncheol
    • The Journal of Korea Robotics Society
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    • v.17 no.4
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    • pp.500-507
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    • 2022
  • In this study, a motion planning method based on the integer representation of contact status between wheels and the ground is proposed for planning swing motion of a 6×6 wheel-legged robot to cross large obstacles and gaps. Wheel-legged robots can drive on a flat road by wheels and overcome large obstacles by legs. Autonomously crossing large obstacles requires the robot to perform complex motion planning of multi-contacts and wheel-rolling at the same time. The lift-off and touch-down status of wheels and the trajectories of legs should be carefully planned to avoid collision between the robot body and the obstacle. To address this issue, we propose a planning method for swing motion of robot legs. It combines an integer representation of discrete contact status and a trajectory optimization based on the direct collocation method, which results in a mixed-integer nonlinear programming (MINLP) problem. The planned motion is used to control the joint angles of the articulated legs. The proposed method is verified by the MuJoCo simulation and shows that over 95% and 83% success rate when the height of vertical obstacles and the length of gaps are equal to or less than 1.68 times of the wheel radius and 1.44 times of the wheel diameter, respectively.

Minimum-Time Trajectory Planning for a Robot Manipulator amid Obstacles (로봇팔의 장애물 중에서의 시간 최소화 궤도 계획)

  • 박종근
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.1
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    • pp.78-86
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    • 1998
  • This paper presents a numerical method of the minimum-time trajectory planning for a robot manipulator amid obstacles. Each joint displacement is represented by the linear combination of the finite-term quintic B-splines which are the known functions of the path parameter. The time is represented by the linear function of the same path parameter. Since the geometric path is not fixed and the time is linear to the path parameter, the coefficients of the splines and the time-scale factor span a finite-dimensional vector space, a point in which uniquely represents the manipulator motion. The displacement, the velocity and the acceleration conditions at the starting and the goal positions are transformed into the linear equality constraints on the coefficients of the splines, which reduce the dimension of the vector space. The optimization is performed in the reduced vector space using nonlinear programming. The total moving time is the main performance index which should be minimized. The constraints on the actuator forces and that of the obstacle-avoidance, together with sufficiently large weighting coefficients, are included in the augmented performance index. In the numerical implementation, the minimum-time motion is obtained for a planar 3-1ink manipulator amid several rectangular obstacles without simplifying any dynamic or geometric models.

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Laser Welding Application in Car Body Manufacturing

  • Shin, H.O.;Chang, I.S.;Jung, C.H.
    • International Journal of Korean Welding Society
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    • v.3 no.1
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    • pp.2-7
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    • 2003
  • Laser welding application for car body manufacturing has many advantages in the stiffness and the lightness of vehicle, the productivity of assembly line, and the degree of freedom in design. This presentation will express the innovation of car body manufacturing including parameter optimization, process modeling, and system integration. In this application the investment for systems was cut down dramatically by real time switching over the laser path between two welding stations. Points of technical discussion are as follows; optimization of parameters such as laser power, robot speed and trajectory, compact and useful design of jig & fixture to assure welding quality for 3 sheet-layer zinc-coated steel, system integration between 4㎾ Nd:YAG laser device and the other systems, on-line real time welding quality monitoring system, perfect safety standards for high power laser, minimization of consumption costs such as arc lamp, protective glass for optic, etc. This application was successfully launched mass production line in 2001. The laser-welded line of side panel consists of 122 stitches totally. And the length is about 2.4m.

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Motion Adjustment for Dynamic Balance (동적 균형을 위한 동작 변환)

  • Tak, Se-Yun;Song, O-Yeong;Go, Hyeong-Seok
    • Journal of the Korea Computer Graphics Society
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    • v.5 no.2
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    • pp.33-41
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    • 1999
  • This paper presents a new algorithm about motion adjustment for dynamic balance. It adjusts an unbalanced motion to an balanced motion while preserving the nuance of original motion. We solve dynamic balancing problem using the zero moment point (ZMP) which is often used for controlling the balance of biped robot. Our algorithm is consists of four steps. First, it fits joint angle data to spline curves for reducing noise. Second, the algorithm analyzes the ZMP trajectory so that it can detects the dynamically-unbalanced duration. Third, the algorithm project the ZMP trajectory into the supporting area if the trajectory deviates from the area. Finally, the algorithm produces the balanced motion that satisfies the new ZMP trajectory. In this step, the constrained optimization method is used so that the new motion keeps the original motion characteristics as much as possible. We make several experiments in order to prove that our algorithm is useful to add physical realism to a kinematically edited motion.

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Design of Model Predictive Controllers with Velocity and Acceleration Constraints (속도 및 가속도 제한조건을 갖는 모델예측제어기 설계)

  • Park, Jin-Hyun;Choi, Young-Kiu
    • Journal of the Korean Society of Mechanical Technology
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    • v.20 no.6
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    • pp.809-817
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    • 2018
  • The model predictive controller performance of the mobile robot is set to an arbitrary value because it is difficult to select an accurate value with respect to the controller parameter. The general model predictive control uses a quadratic cost function to minimize the difference between the reference tracking error and the predicted trajectory error of the actual robot. In this study, we construct a predictive controller by transforming it into a quadratic programming problem considering velocity and acceleration constraints. The control parameters of the predictive controller, which determines the control performance of the mobile robot, are used a simple weighting matrix Q, R without the reference model matrix $A_r$ by applying a quadratic cost function from which the reference tracking error vector is removed. Therefore, we designed the predictive controller 1 and 2 of the mobile robot considering the constraints, and optimized the controller parameters of the predictive controller using a genetic algorithm with excellent optimization capability.

Analysis of Weightlifting Motion Based on Robotic Manipulability (로봇 조작도에 기반한 역도 들기 자세 해석)

  • Won, Kyoung-Tae;Lee, Ji-Hong
    • Journal of Institute of Control, Robotics and Systems
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    • v.5 no.4
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    • pp.446-453
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    • 1999
  • An athlete motion during weightlifting is analyzed based on robotic manipulability, which shows dexterities by changing the position and orientation of the end-effector of robot manipulators arbitrary or along a specified direction. The athlete body is modeled as a highly redundant robot manipulator. The motion of weightlifting is analyzed based on the selected model with a power manipulability. Power manipulability and its geometric characteristics are derived by combining kinematic manipulability and dynamic manipulability. Also, manipulability-based optimal trajectory of weightlifter for given body structure of weightlifter derived through genetic algorithm.

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Two Evolutionary Gait Generation Methods for Quadruped Robots in Cartesian Coordinates Space and Join Coordinates Space (직교좌표공간과 관절공간에서의 4족 보행로봇의 두 가지 진화적 걸음새 생성기법)

  • Seo, Kisung
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.3
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    • pp.389-394
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    • 2014
  • Two evolutionary gait generation methods for Cartesian and Joint coordinates space are compared to develop a fast locomotion for quadruped robots. GA(Genetic Algorithm) based approaches seek to optimize a pre-selected set of parameters for the locus of paw and initial position in cartesian coordinates space. GP(Genetic Programming) based technique generate few joint trajectories using symbolic regression in joint coordinates space as a form of polynomials. Optimization for two proposed methods are executed using Webots simulation for the quadruped robot which is built by Bioloid. Furthermore, simulation results for two proposed methods are analysed in terms of different coordinate spaces.

Optimization on Working Trajectory of a Quadruped Robot Based on Jansen Mechanism (얀센 메커니즘 기반의 4 족 로봇의 보행 궤적의 최적화)

  • Bae, JoonSeok;Yu, SeongMin;Kim, MinJun;Jeong, EunSik;Han, SangMin;Hwang, WooJung;Choi, JaeNeung;Lee, ChoonYeol
    • Proceeding of EDISON Challenge
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    • 2016.03a
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    • pp.397-403
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    • 2016
  • Various walking robot platforms have been developed to carry out missions such as explorations, pass of obstacle or inspections of dangerous environments. In this work, a four legs mechanism based on Jansen mechanism is developed, which can follow a certain track and overcome obstacles. To find the ideal locus, computer programs are used such as M. sketch and Working model. Using these program tools, moderate linkage sizes are selected in Science Box. Furthermore, in order to optimize design of legs, a level average analysis is used as well as Edison S/W. Through the design optimization, improved stride of locus is found.

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Optimal Design of a Four-bar Linkage Manipulator for Starfish-Capture Robot Platform (불가사리 채집용 4절 링크 매니퓰레이터의 최적 설계)

  • Kim, Jihoon;Jin, Sangrok;Kim, Jong-Won;Seo, TaeWon;Kim, Jongwon
    • Journal of the Korean Society for Precision Engineering
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    • v.30 no.9
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    • pp.961-968
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    • 2013
  • In this paper, we propose an optimal design for starfish capturing manipulator module with four-bar linkage mechanism. A tool link with compliance is attached on the four-bar linkage, and the tool repeats detaching starfish from the ground and putting it into the storage box. Since the tool is not rigid and the manipulator is operating underwater, the trajectory of the tool tip is determined by its dynamics as well as kinematics. We analyzed the trajectory of the manipulator tool tip by quasi-static analysis considering both kinematics and dynamics. In optimization, the lengths of each link and the tool stiffness are considered as control variables. To maximize the capturing ability, capturing stroke of the four-bar manipulator trajectory is maximized. Reaction force and reaction moment, and other kinematic constraints were considered as inequality constraints.

Development of Robot Simulator for Palletizing Operation Management S/W and Fast Algorithm for 'PLP' (PLP 를 위한 Fast Algorithm 과 팔레타이징 작업 제어 S/W 를 위한 로봇 시뮬레이터 개발)

  • Lim, Sung-Jin;Kang, Maing-Kyu;Han, Chang-Soo;Song, Young-Hoon;Kim, Sung-Rak;Han, Jeong-Su;Yu, Seung-Nam
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.31 no.5
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    • pp.609-616
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    • 2007
  • Palletizing is necessary to promote the efficiency of storage and shipping tasks. These are, however some of the most monotonous, heavy and laborious tasks in the factory. Therefore many types of robot palletizing systems have been developed, but many robot motion commands still depend on the teaching pendent. That is, an operator inputs the motion command lines one by one. It is very troublesome, and most of all, the user must know how to type the code. That is why we propose a new GUI (Graphic User Interface) Palletizing System. To cope with this issue, we proposed a 'PLP' (Pallet Loading Problem) algorithm, Fast Algorithm and realize 3D auto-patterning visualization interface. Finally, we propose the robot palletizing simulator. Internally, the schematic of this simulator is as follows. First, an user inputs the physical information of object. Second, simulator calculates the optimal pattern for the object and visualizes the result. Finally, the calculated position data of object is passed to the robot simulator. To develop the robot simulator, we use an articulated robot, and analyze the kinematics and dynamics. Especially, All problem including thousands of boxes were completely calculated in less than 1 second and resulted in optimal solutions by the Fast Algorithm.