• Title/Summary/Keyword: principle of inverted pendulum

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Nonlinear $H_2/H_\infty/LTR$ Control of the Parallel Flexible Inverted Pendulum Connected by a Spring (스프링 연결 병렬형 탄성 역진자의 비선형 $H_2/H_\infty/LTR$ 제어)

  • 한성익
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.5
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    • pp.356-366
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    • 2000
  • In this paper, a nonlinear $H_2/H_\infty/LTR$ control for the flexible inverted pendulum of a parallel type with Coulomb friction is presented. The dynamic equation for this system is derived by the Hamilton's principle and assumed-mode method. This hard nonlinear system can be modeled by a the quasi-linear state space model using the REF method. It is shown that the $H_2/H_\infty$ control can be applied to the nonlinear controller design of the system having Coulomb frictions if the proper LTR conditions are satisfied. In order to present the usefulness of the suggested control method, the nonlinear $H_2/H_\infty/LTR$ controller is designed to control the Position of the end point of the flexible inverted pendulum that has Coulomb frictions present in actuator parts. The results are given via computer simulations.

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Model Based Control System Design of Two Wheeled Inverted Pendulum Robot (이륜 도립진자 로봇의 모델 기반 제어 시스템 설계)

  • Ku, Dae-Kwan;Ji, Jun-Keun;Cha, Guee-Soo
    • The Transactions of the Korean Institute of Power Electronics
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    • v.16 no.2
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    • pp.162-172
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    • 2011
  • This paper proposes embedded System of two wheeled inverted pendulum robot designed by model based design method, using MATLAB/SIMULINK and LEGO NXT Mindstorms. At first, stability and performance of controller is verified through modeling and simulation. After that direct conversion from simulation model to C code is carried and effectiveness of controller is experimentally verified. Two wheeled inverted pendulum robot has basic function about autonomous balancing control using principle of inverted pedulum and it is also possible to arrive at destination. In this paper, state feedback controller designed by quadratic optimal control method is used. And quadratic optimal control uses state feedback control gain K to minimize performance index function J. Because it is easy to find gain, this control method can be used in the controller of two wheeled inverted pendulum robot. This proposed robot system is experimentally verified with following performances - balancing control, disturbance rejection, remote control, line following and obstacle avoidance.

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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Development of a Biped Walking Robot

  • Kim, Yong-Sung;Seo, Chang-Jun
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2350-2355
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    • 2005
  • In this paper, we introduce biped walking robot which can static walking with 22 degree-of-freedoms. The developed biped walking robot is 480mm tall and 2500g, and 22 RC servo motors are used to actuate. Before made an active algorithm, we generated the motions of robot with the motion simulator which developed using by C language. The two dimension simulator is Based on the inverse kinematics and D-H transform. The simulator implements various motions as inputted the ankle's trajectory. Also we developed a simulator which is applied the principle of inverted pendulum to acquires the center of gravity. As we use this simulator, we can get the best appropriate angle of ankle and pelvis when the robot lifts up its one side leg during the working. 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 connected with laptop computer by serial cable.

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Trajectory Study of Self-organizing Fuzzy Control and Its Application to Inverted Pendulum Control (자기구성 퍼지네어의 궤적연구 및 도립진자 제어 적용)

  • 박정일;류재규
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.12
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    • pp.35-44
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    • 1994
  • In this paper, we propose a new modification method of the look-up table in self-organizing fuzzy control using look-up table. This method has the property that look-up table is modified to have fast response property. Its principle is that the controller forces the trajectory to go into the fast respose region which the error change amount is larger than the error at initial time whenever the reference or disturbance change. Also we introduce the variable learning speed coefficient which is proportional to distance from switching curve. And to demonstrate the applicability of the proposed method, we had simulation study for some examples and esecuted pole balance experiments with inverted pendulum.

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Modeling Negative Stiffness Mechanism of Vestibular Hair Cell by Applying Gating Spring Hypothesis to Inverted Pendulum Array (게이팅 스프링 가설을 적용한 전정기관 유모세포의 반강성 메커니즘 모델)

  • Lim, Ko-Eun;Park, Su-Kyung
    • Proceedings of the KSME Conference
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    • 2007.05a
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    • pp.405-408
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    • 2007
  • Vestibular hair cells, the sensory receptors of vestibular organs, selectively amplify miniscule stimuli to attain high sensitivity. Such selective amplification results in compressive nonlinear sensitivity, which plays an important role in expanding dynamic range while ensuring robustness of the system. In this study, negative stiffness mechanism, a mechanism responsible for the selective amplification by vestibular hair cells, is applied to a simple mechanical system consisting of an array of inverted pendulums. The structure and working principle of the system have been inspired by gating spring hypothesis proposing that opening and closing of transduction channels contributes to the global stiffness of vestibular hair bundle. Parameter study was carried out to analyze the effect of each parameter on the compressive nonlinearity of suggested model.

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