• Title/Summary/Keyword: 3-D inverted pendulum

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Fuzzy Control and Implementation of a 3-Dimensional Inverted Pendulum System (3차원 도립진자 시스템의 구현 및 퍼지 제어)

  • Shin, Ho-Sun;Chu, Jun-Uk;Lee, Seung-Ha;Lee, Yun-Jung
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.2
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    • pp.137-147
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    • 2003
  • The fuzzy control and implementation of a new three-dimensional(3-D) inverted pendulum system are addressed. In comparison with conventional 1-D and 2-D systems, the 3-D inverted pendulum system is a proper benchmark system to simulate human's control action which includes the up and down motion to stabilize an inverted pendulum. To investigate the characteristics of the 3-D inverted pendulum system and to design of a fuzzy controller, we derive dynamic equations of the mechanism including a 3-axis cartesian robot and an inverted pendulum. We propose a design method of a fuzzy controller of the yaw and pitch angles of an inverted pendulum. In the design, the redundant degree-of-freedom(DOF) of the robot and the constrained workspace are taken into account. The performance of the proposed system is proved by experimental results using a developed PC-based Multi-Motion Control(MMC) board.

Evolving Neural Network Controller for Stabilization of Inverted Pendulum System (도립 진자 시스템의 안정화를 위한 진화형 신경회로망 제어기)

  • Sim, Yeong-Jin;Lee, Jun-Tak
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.3
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    • pp.157-163
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    • 2000
  • In this paper, an Evolving Neural Network Controller(ENNC) which its structure and its connection weights are optimized simultaneously by Real Variable Elitist Genetic Algoithm(RVEGA) was presented for stabilization of an Inverter Pendulum(IP) system with nonlinearity. This proposed ENNC was described by a simple genetic chromosome. And the deletion of neuron, the determinations of input or output neuron, the deleted neuron and the activation functions types are given according to the various flag types. Therefore, the connection weights, its structure and the neuron types in the given ENNC can be optimized by the proposed evolution strategy. Through the simulations, we showed that the finally acquired optimal ENNC was successfully applied to the stabilization control of an IP system.

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Three-Level Decoupled Sliding Mode Control (3단 비간섭 슬라이딩모드 제어)

  • Ynchi, Ming;Jang, Seong-Dong;Sin, Hwa-Beom
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.8
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    • pp.467-472
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    • 2000
  • A three-level decoupled sliding mode controller is developed to achieve asymptotic stability for a class of sixth-order nonlinear systems. The sixth-order system is decoupled into three subsystems according to the structure of the whole system. Each subsystem has a separate control target in the form of a sliding surface. The information of the third sliding surface is transferred to the second one through an intermediate variable and the information of the second sliding surface is transferred to the first one through another intermediate variable. Consequently, the controller designed on the basis of the first sliding surface can make three subsystems move toward their sliding surfaces, respectively. The three-level decoupled sliding mode controller is applied to the double-inverted pendulum problem where the zero stable states are required.

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Balance Control of a Biped Robot Using the ZMP State Prediction of the Kalman Estimator (칼만예측기의 ZMP 상태추정을 통한 이족로봇의 균형제어기법)

  • Park, Sang-Bum;Han, Young-Jun
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.5
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    • pp.601-607
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    • 2006
  • This paper proposes a novel balance control scheme of a biped robot to predict the next position of ZMP using Kalman Filter. The mathematical model of the biped robot is generally approximated by 3D-LIPM(3D-Linear Inverted Pendulum Mode), but it cannot completely express the robot's dynamics. The stability of the biped robot depends on whether the ZMP(Zero Moment Point) position is in the stability region or out of. And the internal error between the robot mechanism and its model could affect the stability of a robot. Therefore, the proposed balance control not reduces the internal error, but also timely generates the proper control. The experiment of the proposed balance control is simulated on the virtual workspace where the biped robot may encounter with various difficulties.

Control Strategy for Modifiable Bipedal Walking on Unknown Uneven Terrain

  • Lee, Woong-Ki;Chwa, Dongkyoung;Hong, Young-Dae
    • Journal of Electrical Engineering and Technology
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    • v.11 no.6
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    • pp.1787-1792
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    • 2016
  • Previous walking pattern generation methods could generate walking patterns that allow only straight walking on flat and uneven terrain. They were unable to generate modifiable walking patterns whereby the sagittal and lateral step lengths and walking direction can be changed at every footstep. This paper proposes a novel walking pattern generation method to realize modifiable walking of humanoid robots on unknown uneven terrain. The proposed method employs a walking pattern generator based on the 3-D linear inverted pendulum model (LIPM), which enables a humanoid robot to vary its walking patterns at every footstep. A control strategy for walking on unknown uneven terrain is proposed. Virtual spring-damper (VSD) models are used to compensate for the disturbances that occur between the robot and the terrain when the robot walks on uneven terrain with unknown height. In addition, methods for generating the foot and vertical center of mass (COM) of the 3-D LIPM trajectories are developed to realize stable walking on unknown uneven terrain. The proposed method is implemented on a small-sized humanoid robot platform, DARwIn-OP and its effectiveness is demonstrated experimentally.

Development of Biped Walking Robot with Stable Walking (안정적 보행을 갖는 이족 보행 로봇의 개발)

  • Seo, Chang-Jun
    • IEMEK Journal of Embedded Systems and Applications
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    • v.3 no.2
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    • pp.82-90
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    • 2008
  • In this paper, we introduce a biped walking robot which can do static walking with 22 degree-of-freedoms. The developed biped walking robot is 480mm tall and 2500g, and is constructed by 22 RC servo motors. Before making an active algorithm, we generate the motions of robot with a motion simulator developed using C language. The two dimensional simulator is based on the inverse kinematics and D-H transform. The simulator implements various motions as we input the ankle's trajectory. Also the simulator is developed by applying the principle of inverted pendulum to acquisite the center of gravity. As we use this simulator, we can get the best appropriate angle of ankle or pelvic when the robot lifts up its one side leg during the walking. We implement the walking motions which is based on the data(angle) getting from both of simulators. The robot can be controlled by text shaped command through RF signal of wireless modem which is connected with laptop computer by serial cable.

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Design of a Two-wheeled Balancing Mobile Platform with Tilting Motion (횡방향 틸팅 기능을 갖는 이륜 밸런싱 모바일 플랫폼 설계)

  • Kim, Sangtae;Seo, Jeongmin;Kwon, SangJoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.20 no.1
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    • pp.87-93
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    • 2014
  • Conventional two-wheeled balancing robots are limited in terms of turning speed because they lack the lateral motion to compensate for the centrifugal force needed to stop rollover. In order to improve lateral stability, this paper suggests a two-wheeled balancing mobile platform equipped with a tilting mechanism to generate roll motions. In terms of static force analysis, it is shown that the two-body sliding type tilting method is more suitable for small-size mobile robots than the single-body type. For the mathematical modeling, the tilting-balancing platform is assumed as a 3D inverted pendulum and the four-degrees-of-freedom equation of motion is derived. In the velocity/posture control loop, the desired tilting angle is naturally determined according to the changes of forward velocity and steering yaw rate. The efficiency of the developed tilting type balancing mobile platform is validated through experimental results.

A Design Technique for Stabilization of Inverted Pendulum Cart System on the Inclined Rail (경사 레일상에 있는 도립진자 장치의안정화 설계기법)

  • 박영식;최부귀;윤병도
    • The Proceedings of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.3 no.4
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    • pp.62-69
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    • 1989
  • 휴대용 전기톱을 비롯한 학습 기계장치, 자동차 연동장치, 각종 화학 분석장치 및 산업용 로봇 시스템등의 전기설비에 광범위하게 응용되고 있는 고유 불안정 도립진자 시스템의 동적 안정화 제어기 설계기법이 소개된다. 복잡한 비선형 동특성을 고려한 수학적 모델링과 C. D. Johnson에 의해 제시된 외란 적응 제어 이론을 적응하여, 최적 레귤레이터형 안정화 제어기를 설계하였으며, 컴퓨터 시뮬레이션 및 실험결과가 만족스럽게 나타났다.

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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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    • v.11 no.3
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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.

Real-time Footstep Planning and Following for Navigation of Humanoid Robots

  • Hong, Young-Dae
    • Journal of Electrical Engineering and Technology
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    • v.10 no.5
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    • pp.2142-2148
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    • 2015
  • This paper proposes novel real-time footstep planning and following methods for the navigation of humanoid robots. A footstep command is defined by a walking direction and step lengths for footstep planning. The walking direction is determined by a uni-vector field navigation method, and the allowable yawing range caused by hardware limitation is considered. The lateral step length is determined to avoid collisions between the two legs while walking. The sagittal step length is modified by a binary search algorithm when collision occurs between the robot body and obstacles in a narrow space. If the robot body still collides with obstacles despite the modification of the sagittal step length, the lateral step length is shifted at the next footstep. For footstep following, a walking pattern generator based on a 3-D linear inverted pendulum model is utilized, which can generate modifiable walking patterns using the zero-moment point variation scheme. Therefore, it enables a humanoid robot to follow the footstep command planned for each footstep. The effectiveness of the proposed method is verified through simulation and experiment.