• 제목/요약/키워드: Inverted Pendulum Model

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메카넘 바퀴 볼 로봇의 자세제어 및 주행 (Balancing and Driving Control of a Mecanum Wheel Ball Robot)

  • 황승익;하휘명;이장명
    • 제어로봇시스템학회논문지
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    • 제21권4호
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    • pp.336-341
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    • 2015
  • This paper proposes a balancing and driving control system for a Mecanum wheel ball robot which has a two axis structure and four motors. The inverted pendulum control method is adopted to maintain the balance of the ball robot while it is driving. For the balancing control, an anon-model-based controller has been designed to control the device simply without the need of a complex formula. All the gains of the controller are heuristically adjusted during the experiments. The tilt angle is measured by IMU sensors, which is used to generate the control input of the roll and pitch controller to make the tilt angle zero. For the driving control, the PID control algorithm has been adopted with angles of the wheels and the encoder data. The performance of the designed control system has been verified through the real experiments with the suggested ball robot.

이족로봇의 선형모델결정과 제어에 관한 연구 (A Study on the Determination of Linear Model and Linear Control of Biped Robot)

  • 박인규;김진걸
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 추계학술대회 논문집 학회본부 D
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    • pp.765-768
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    • 2000
  • Linearization of the biped dynamic equations and design of linear controller for the linearized equations are studied in this paper. The biped robot with inverted pendulum type trunk, used to stabilize the dynamic balancing of the biped robot during dynamic walking period, is modelled with 14 DOF and simulated. Despite of well defined linear control theories so far, the linear control methods was limited to the applications for a walking robot, because they have been inherently strong nonlinear properties, such as a modeling parameter uncertainties, external forces as noise, inertial and Coriolis terms by three dimensional modeling and so on. To linearize the nonlinear equations of motion of biped robot on MIMO and time varying linear equations of motion, 1st order Taylor series is used to formulate the linear equation. And a 2nd order numerical perturbation method Is used to approximate partial differential equations. Using the linearized equations of motion, a linear controller is designed by pole placement method with feed forward compensation. Using the obtained linearized equations and linear controller, the continuous walking simulation is performed.

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Dynamic Simulation of Modifiable Bipedal Walking on Uneven Terrain with Unknown Height

  • Hong, Young-Dae;Lee, Ki-Baek
    • Journal of Electrical Engineering and Technology
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    • 제11권3호
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    • pp.733-740
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    • 2016
  • To achieve bipedal walking in real human environments, a bipedal robot should be capable of modifiable walking both on uneven terrain with different heights and on flat terrain. In this paper, a novel walking pattern generator based on a 3-D linear inverted pendulum model (LIPM) is proposed to achieve this objective. By adopting a zero moment point (ZMP) variation scheme in real time, it is possible to change the center-of-mass (COM) position and the velocity of the 3-D LIPM throughout the single support phase. Consequently, the proposed method offers the ability to generate a modifiable pattern for walking on uneven terrain without the necessity for any extra footsteps to adjust the COM motion. In addition, a control strategy for bipedal walking on uneven terrain with unknown height is developed. The torques and ground reaction force are measured through force-sensing resisters (FSRs) on each foot and the foot of the robot is modeled as three virtual spring-damper models for the disturbance compensation. The methods for generating the foot and vertical COM of 3-D LIPM trajectories are proposed to achieve modifiable bipedal walking on uneven terrain without any information regarding the height of the terrain. The effectiveness of the proposed method is confirmed through dynamic simulations.

Optimal Trajectory Generation for Biped Robots Walking Up-and-Down Stairs

  • Kwon O-Hung;Jeon Kweon-Soo;Park Jong-Hyeon
    • Journal of Mechanical Science and Technology
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    • 제20권5호
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    • pp.612-620
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    • 2006
  • This paper proposes an optimal trajectory generation method for biped robots for walking up-and-down stairs using a Real-Coded Genetic Algorithm (RCGA). The RCGA is most effective in minimizing the total consumption energy of a multi-dof biped robot. Each joint angle trajectory is defined as a 4-th order polynomial of which the coefficients are chromosomes or design variables to approximate the walking gait. Constraints are divided into equalities and inequalities. First, equality constraints consist of initial conditions and repeatability conditions with respect to each joint angle and angular velocity at the start and end of a stride period. Next, inequality constraints include collision prevention conditions of a swing leg, singular prevention conditions, and stability conditions. The effectiveness of the proposed optimal trajectory is shown in computer simulations with a 6-dof biped robot model that consists of seven links in the sagittal plane. The optimal trajectory is more efficient than that generated by the Modified Gravity-Compensated Inverted Pendulum Mode (MGCIPM). And various trajectories generated by the proposed GA method are analyzed from the viewpoint of the consumption energy: walking on even ground, ascending stairs, and descending stairs.

이족 로봇의 무게 중심 수평 위치 고속 이동을 위한 실시간 힘 제어 기법 (Real-Time Force Control of Biped Robot to Generate High-Speed Horizontal Motion of Center of Mass)

  • 이이수;박재흥
    • 로봇학회논문지
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    • 제11권3호
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    • pp.183-192
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    • 2016
  • Generating motion of center of mass for biped robots is a challenging issue since biped robots can easily lose balance due to limited contact area between foot and ground. In this paper, we propose force control method to generate high-speed motion of the center of mass for horizontal direction without losing balancing condition. Contact consistent multi-body dynamics of the robot is used to calculate force for horizontal direction of the center of mass considering balance. The calculated force is applied for acceleration or deceleration of the center of mass to generate high speed motion. The linear inverted pendulum model is used to estimate motion of the center of mass and the estimated motion is used to select either maximum or minimum force to stop at goal position. The proposed method is verified by experiments using 12-DOF torque controlled human sized legged robot.

이족 트랜스포머 로봇의 외란 대응 자세 안정화 제어 (Posture Stabilization Control of Biped Transformer Robot under Disturbances)

  • 김근태;여명훈;김정엽
    • 로봇학회논문지
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    • 제18권3호
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    • pp.241-250
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    • 2023
  • This paper describes the posture stabilization control of a bipedal transformer robot being developed for military use. An inverted pendulum model with a rectangular that considers the robot's inertia is proposed, and a posture stabilization moment that can maintain the body tilt angle is derived by applying disturbance observer and state feedback control. In addition, vertical force and posture stabilization moments that can maintain the body height and balance are derived through QP optimization to obtain the necessary torques and vertical force for each foot. The roll and pitch angles of the IMU sensor attached to the robot's feet are reflected in the ankle joint to enable flexible adaptation to changes in ground inclination. Finally, the effectiveness of the proposed algorithm in posture stabilization is verified by comparing and analyzing the difference in body tilt angle due to disturbances and ground inclination changes with and without algorithm application, using Gazebo dynamic simulation and a down-scale test platform.

전개형 복합재 반사판 안테나의 유연 다물체 동역학 해석 (Flexible Multibody Dynamic Analysis of the Deployable Composite Reflector Antenna)

  • 임윤지;오영은;노진호;이수용;정화영;이재은;강덕수;윤지현
    • 한국항공우주학회지
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    • 제47권10호
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    • pp.705-711
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    • 2019
  • 전개형 반사판 안테나의 전개거동 특성을 해석적 그리고 실험적 방법으로 분석하고자 한다. Kane 방정식을 이용하여 전개형 안테나의 다물체 운동방정식을 공식화하였다. 복합재료 반사판의 구조변형 특성을 살펴보기 위해 FSDT(First-order Shear Deformation Theory)를 이용하여 빔 모델로 유한요소 정식화 하였다. 역진자 모델을 이용하여 안테나 전개시간에 따른 스프링 상수 그리고 댐핑 계수들을 결정하였다. 다물체 동력학 해석을 통하여 설계변수에 따른 안테나 반사판의 동적구조 특성을 확인하였고, 무중력 모사 전개실험을 통하여 해석결과 검증 및 거동특성을 실험적으로 관찰하였다.

드롭랜딩 시 착지형태에 따른 충격흡수구간의 운동역학적 특성 (The Biomechanical Properties of the Shock Absorption Phase during Drop Landing According to Landing Types)

  • 박규태;유경석
    • 한국운동역학회지
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    • 제25권1호
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    • pp.29-37
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    • 2015
  • Objective : The purpose of this study was to investigate the biomechanical properties of shock absorption strategy and postural stability during the drop landing for each types. Methods : The motions were captured with Vicon Motion Capture System, with the fourteen infra-red cameras (100Hz) and synchronized with GRF(ground reaction force) data(1000Hz). Ten male soccer players performed a drop landing with single-leg and bi-legs on the 30cm height box. Dependent variables were the CoM trajectory and the Joint Moment. Statistical computations were performed using the paired t-test and ANOVA with Turkey HSD as post-hoc. Results : The dominant leg was confirmed to show a significant difference between the left leg and right leg as the inverted pendulum model during Drop Landing(Phase 1 & Phase 2). One-leg drop landing type had the higher CoM displacement, the peak of joint moment with the shock absorption than Bi-leg landing type. As a lower extremity joint kinetics analysis, the knee joint showed a function of shock absorption in the anterior-posterior, and the hip joint showed a function of the stability and shock absorption in the medial-lateral directions. Conclusion : These findings indicate that the instant equilibrium of posture balance(phase 1) was assessed by the passive phase as Class 1 leverage on the effect of the stability of shock absorption(phase 2) assessed by the active phase on the effect of Class 2 leverage. Application : This study shows that the cause of musculo-skeletal injuries estimated to be focused on the passive phase of landing and this findings could help the prevention of lower damage from loads involving landing related to the game of sports.

DRC Finals 2015 에서 휴머노이드 로봇의 자동차 운전과 하차에 관한 전략 (Strategies for Driving and Egress for the Vehicle of a Humanoid Robot in the DRC Finals 2015)

  • 안동현;신주성;전용범;손기원;장기호;폴오;조백규
    • 제어로봇시스템학회논문지
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    • 제22권11호
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    • pp.912-918
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    • 2016
  • This paper presents various strategies for humanoid vehicle driving and egress tasks. For driving, a tele-operating system that controls a robot based on a human operator's commands is built. In addition, an autonomous assistant module is developed for the operator. Normal position control can result in severe damage to robots when they egress from vehicles. To prevent this problem, another approach that mixes various joint control techniques is adopted in this study. Additionally, a footplate is newly designed and attached to the vehicle floor for the ground landing phase of the egress task. The attached plate enables the robot to step down onto the ground in a safe manner. For stable locomotion, a balance controller is designed for the humanoid. For the design of the controller, the robot is modeled using an inverted pendulum that consists of a spring and a damper. Then, a state feedback controller (with pole placement and a state observer) is built based on the simplified model. Many approaches that are presented in this paper were successfully applied to a full-sized humanoid, DRC-HUBO+, in the DARPA Robotics Challenge Finals, which were held in the United States in 2015.