• Title/Summary/Keyword: Two wheeled inverted pendulum

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Application to Stabilizing Control of Nonlinear Mobile Inverted Pendulum Using Sliding Mode Technique

  • Choi, Nak-Soon;Kang, Ming-Tao;Kim, Hak-Kyeong;Park, Sang-Yong;Kim, Sang-Bong
    • Journal of Ocean Engineering and Technology
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    • v.23 no.2
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    • pp.1-7
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    • 2009
  • This paper presents a sliding mode controller based on Ackermann's formula and applies it to stabilizing a two-wheeled mobile inverted pendulum in equilibrium. The mobile inverted pendulum is a system with an inverted pendulum on a mobile cart. The dynamic modeling of the mobile inverted pendulum was established under the assumptions of a cart with no slip and a pendulum with only planar motion. The proposed sliding mode controller was based upon a class of nonlinear systems whose nonlinear part of the modeling can be linearly parameterized. The sliding surface was obtained in an explicit form using Ackermann's formula, and then a control law was designed from reachability conditions and made the sliding surface attractive to the equilibrium state of the mobile inverted pendulum. The proposed controller was implemented in a Microchip PIC16F877 micro-controller. The developed overall control system is described. The simulation and experimental results are presented to show the effectiveness of the modeling and controller.

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.

The Wheeled Inverted Pendulum Mobile Robot Control Using Gyroscope and Accelerometer Sensor (자이로와 가속도 센서를 이용한 차륜형 도립진자 이동로봇 제어)

  • Yu, Hwan-Shin;Park, Hyung-Bae
    • Journal of Advanced Navigation Technology
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    • v.16 no.4
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    • pp.703-708
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    • 2012
  • This paper proposes the improvement of control performance in the wheeled inverted mobile robot system. and describes the modeling of a wheeled inverted pendulum type mobile robot driven by two different wheels for the position and velocity control. The system is sensitive on the parameter variation, therefore control signal should change to maintain desired state of the system in every instant. we designed proportional-plus-integral controller for our system, After linearization, the system was still unstable, throughout stability analysis of the system, we designed the values of the gains of a proportional-plus-integral controller. From the experimental results, we can find that the performance of the proposed method is better than of the manual tuning method.

Balancing Control of a Two Wheeled Mobile Robot System (두 바퀴로 구동하는 이동로봇 시스템의 균형 제어)

  • Lee, Hyung-Jik;Jung, Seul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.48 no.6
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    • pp.1-7
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    • 2011
  • This paper presents implementation and control of a two wheeled mobile robot system which consists of two systems, an inverted pendulum system and a mobile robot system. Control purpose is to regulate its balancing and navigation. The balancing robot has advantages of one point turning and robust balancing against disturbances from the ground. Simulation studies of local and global control methods are performed. Since the robot is implemented to have a symmetrical structure, simple linear control algorithms are used for balancing and navigation. Low cost sensors such as gyro and tilt sensor are fused together to detect the inclined angle. Experimental studies of following desired circular trajectory are conducted.

Robust Control Design for a Two-Wheeled Inverted Pendulum Mobile Robot (이륜 도립진자 이동로봇을 위한 강인제어기 설계)

  • Yoo, Dong Sang
    • Journal of the Korean Institute of Intelligent Systems
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    • v.26 no.1
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    • pp.16-22
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    • 2016
  • The research on two-wheeled inverted pendulum (TWIP) mobile robots has been ongoing in a number of robotic laboratories around the world. In this paper, we consider a robust controller design for the TWIP mobile robot driving on uniform slopes. We use a 2 degree-of-freedom (DOF) model which is obtained by restricting the spinning motion in a 3 DOF motion dynamic equation. In order to design the robust controller guaranteeing stability of the TWIP mobile robot driving on inclined surface, we propose a sliding mode control based on the theory of variable structure systems and design a sliding surface using the theory of the linear quadratic regulation (LQR). For simulation, the dynamic model of the TWIP mobile robot is constructed using Mathworks' Simulink and the sliding mode control is also implemented using Simulink. From simulation results, we show that the proposed controller effectively controls the TWIP mobile robot driving on slopes.

Nonlinear Attitude Control of a Two-Wheeled Mobile Robot

  • Yang, Jl-Won;Roh, Chi-Won;Lee, Kwang-Won
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.67.6-67
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    • 2001
  • In this paper, we present an attitude control of self-standing for a two-wheeled inverted-pendulum-like mobile robot based on the nonlinear control theory. Nonlinear dynamic equations are linearized by using the Lie derivative, and a pole placement controller is designed. Characteristics of the controller are examined by numerical simulations to show the self-standing attitude of the mobile robot in standing and in moving.

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Mechanism Design of the Interactive Emotional Robot (대화형 감성 로봇의 메커니즘 설계)

  • 김연훈;윤석준;이동연;곽윤근
    • Proceedings of the Korean Society for Emotion and Sensibility Conference
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    • 2001.11a
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    • pp.233-238
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    • 2001
  • The mechanism design of the interactive emotional robot has been carried out. The two-wheeled inverted pendulum type mechanism was adopted to improve the mobility and make the innate clumsy monoaxial bicycle motion. Even though the system is unstable in itself, it is expected for the robot to move freely in a plane, keeping the upright position only with two wheels. Two motors attached on head can make 4 motion sets, and two motors on the wheels can make 8. Therefore, 32 independent motion sets can be achieved from the robot to communicate the emotions with humans. The motion's equation of the robot was derived based on nonholonomic dynamics, and the necessary power to the wheel's rotational axis was found by simulation.

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Nonlinear Model-Based Disturbance Compensation for a Two-Wheeled Balancing Mobile Robot (이륜 밸런싱 로봇에 대한 비선형 모델 기반 외란보상 기법)

  • Yu, Jaerim;Kim, Yongkuk;Kwon, SangJoo
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.10
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    • pp.826-832
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    • 2016
  • A two-wheeled balancing mobile robot (TWBMR) has the characteristics of both nonlinear and underactuated system. In this paper, the disturbances acting on a TWBMR are classified into body disturbance and wheel disturbance. Additionally, we describe a nonlinear disturbance observer, which is suitable as a single input multi-output (SIMO) system for the longitudinal motion of TWBMR. Finally, we propose a reasonable disturbance compensation technique that combines the indirect reference input of equilibrium point and the direct torque compensation input. Simulations and experimental results show that the proposed disturbance compensation method is an effective way to achieve robust postural stability, specifically on inclined terrains.

Development of a Omni-directional Self-Balancing Robot Wheelchair (전방향 셀프-밸런싱 로봇휠체어 개발)

  • Yu, Jaerim;Park, Yunsu;Kim, Sangtae;Kwon, SangJoo
    • The Journal of Korea Robotics Society
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    • v.8 no.4
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    • pp.229-237
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    • 2013
  • In this paper, we report a self-balancing robot wheelchair which has the capability of keeping upright posture regardless of the terrain inclination in terms of the three dimensional balancing motion. It has the mobility of five degrees of freedom, where pitching, yawing, and forward motions are generated by the two-wheeled inverted pendulum mechanism and the rolling and vertical motions are implemented by the movement of the tilting mechanism. Several design considerations are suggested for the sliding type vehicle body, wheel actuator module, tilting actuator module, power and control system, and the riding module.

Attitude Control of A Two-wheeled Mobile Manipulator by Using the Location of the Center of Gravity and Sliding Mode Controller (무게중심위치와 슬라이딩 모드 제어를 통한 이륜형 모바일 머니퓰레이터의 자세제어)

  • Kim, Min-Gyu;Woo, Chang-Jun;Lee, Jangmyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.8
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    • pp.758-765
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    • 2015
  • This paper proposes an attitude control system to keep the balance for a two-wheeled mobile manipulator which consists of a mobile platform and a three D.O.F. manipulator. In the conventional control scheme, complicated dynamics of the manipulator need to be derived for balancing control of a mobile manipulator. The method proposed in this paper, however, three links are considered as one body of mass and the dynamics are derived easily by using an inverted pendulum model. One of the best advantage of a sliding mode controller is low sensitivity to plant parameter variations and disturbances, which eliminates the necessity of exact modeling to control the system. Therefore the sliding mode control algorithm has been adopted in this research for the attitude control of mobile platform along the pitch axis. The center of gravity for the whole mobile manipulator is changing depending on the motion of the manipulator. And the orientation variation of center of gravity is used as reference input for the sliding mode controller of the pitch axis to maintain the center of gravity in the middle of robot to keep the balance for the robot. To confirm the performance of controller, MATLAB Simulink has been used and the resulting algorithms are applied to a real robot to demonstrate the superiority of the proposed attitude control.