• Title/Summary/Keyword: kinematic singularity

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Path Tracking Controller Design for Surface Vessel Based on Sliding Mode Control Method with Switching Law (슬라이딩 모드 제어와 스위칭 기법에 기반한 수상함의 경로 추종 제어기 설계)

  • Lee, JunKu
    • Journal of the Korea Institute of Military Science and Technology
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    • v.20 no.1
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    • pp.108-118
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    • 2017
  • In this paper, the path tracking controller for a surface vessel based on the sliding mode control (SMC) with the switching law is proposed. In order to have no restriction on movement and improved tracking performance, the proposed control system is developed as follows: First, the kinematic and dynamic models in Cartesian coordinates are considered to solve the singularity problem at the origin. Second, the new multiple sliding surfaces are designed with the SMC and approach angle concept to solve the under-actuated property. Third, the switching control system is designed to improve tracking performance. To prove the stability of the proposed switching system under the arbitrary switching, the Lyapunov stability analysis method with the common Lyapunov function is used. Finally, the computer simulations are performed to demonstrate the performance, effectiveness and stability of the proposed tracking controller of a surface vessel.

Trajectory Optimization for Biped Robots Walking Up-and-Down Stairs based on Genetic Algorithms (유전자 알고리즘을 이용한 이족보행 로봇의 계단 보행)

  • Jeon Kweon-Soo;Kwon O-Hung;Park Jong-Hyeon
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.4 s.181
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    • pp.75-82
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    • 2006
  • In this paper, we propose an optimal trajectory for biped robots to move up-and-down stairs using a genetic algorithm and a computed-torque control for biped robots to be dynamically stable. First, a Real-Coded Genetic Algorithm (RCGA) which of operators are composed of reproduction, crossover and mutation is used to minimize the total energy. Constraints are divided into equalities and inequalities: Equality constraints consist of a position condition at the start and end of a step period and repeatability conditions related to each joint angle and angular velocity. Inequality constraints include collision avoidance conditions of a swing leg at the face and edge of a stair, knee joint conditions with respect to the avoidance of the kinematic singularity, and the zero moment point condition with respect to the stability into the going direction. In order to approximate a gait, each joint angle trajectory is defined as a 4-th order polynomial of which coefficients are chromosomes. The effectiveness of the proposed optimal trajectory is shown in computer simulations with a 6-dof biped robot that consists of seven links in the sagittal plane. The trajectory is more efficient than that generated by the modified GCIPM. And various trajectories generated by the proposed GA method are analyzed in a viewpoint of the consumption energy: walking on even ground, ascending stairs, and descending stairs.

Volume Integral Expressions for Numerical Computation of the Dynamic Energy Release Rate (동적(動的)에너지 방출율(放出率)의 수치해석(數値解析)을 위한 체적적분식(體積積分式))

  • Koh, Hyun Moo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.9 no.3
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    • pp.65-73
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    • 1989
  • Continuum formulations for the expressions of dynamic energy release rates and computational methods for dynamic stress intensity factors are developed for the analysis of dynamic fracture problems subjected to stress wave loading. Explicit volume integral expressions for instantaneous dynamic energy release rates are derived by modeling virtual crack extensions with the dynamic Eulerian-Lagrangian kinematic description. In the finite element applications a finite region around a crack-tip is modeled by using quarter-point singular isoparametric elements, and the volume integrals are evaluated for each crack-tip element during virtual crack extensions while the singularity is maintained. It is shown that the use of the present method is more reliable and accurate for the dynamic fracture analysis than that of other path-independent integral methods when the effects of stress waves are significant.

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Numerical Analysis on the Aerodynamic Characteristics of Thin Airfoil with Flapping and Pitching Motion (플래핑 운동 및 키놀이 운동을 하는 얇은 에어포일의 공력특성에 대한 수치 해석)

  • Kim, Woo-Jin
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.21 no.1
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    • pp.45-50
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    • 2013
  • In this study, lumped-vortex element method and thin airfoil theory were used to analyze aerodynamic characteristics of airfoils with relative motion that had camber lines of NACA $44{\times}{\times}$ airfoil in 2-dimensional unsteady incompressible potential flow. Velocity disturbance due to airfoil was calculated by lumped-vortex element model and force distribution on airfoil by unsteady Bernoulli's equation. Variables in relative motion were considered the period p, the amplitude of flapping $A_f$ and pitching $A_p$, and the phase difference between flapping and pitching ${\phi}_p$ and the angle of attack ${\alpha}$. Due to movement of an airfoil, dag was induced in 2-dimensional unsteady incompressible potential flow. The numerical results show that the aerodynamic characteristics of the airfoil with flapping and pitching at the same time are illustrated. Especially the mean lift coefficient became smaller, but drag coefficient became larger.

Analysis of singularity and redundancy control for robot-positioner system (로봇과 포지셔너 시스템의 특이성 분석과 여유 자유도 제어)

  • 전의식;장재원;서일홍;오재응;염성하
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.12 no.6
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    • pp.1252-1264
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    • 1988
  • Recently industrial robots together with positioners are often used to enhance the system performance for arc welding. In this paper, a redundancy control method is proposed to the robot-positioner system with seven degrees of freedom, where one kinematic modelling technique is employed. Also, manipulability in the given cutting plane of the workspace. An algorithm maximizing the manipulability is applied to the robot and the positioner and the simulation results are shown for the task following a linear path.