• Title/Summary/Keyword: inverted Pendulum

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Implementation of a Parallel Inverted Pendulum System with Decoupling Control (병렬형 역진자 시스템 제작 및 분리제어)

  • 김주호;박운식;최재원
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.7
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    • pp.162-169
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    • 2000
  • In this paper, we develop a parallel inverted pendulum system that has the characteristics of the strongly coupled dynamics of motion by an elastic spring, the time-variant system parameters, and inherent instability, and so on. Hence, it is possible to approximate some kinds of a physical system into this representative system and to apply the various control theories to this system in order to verie their fidelity and efficiency. For this purpose, an experimental system of the parallel inverted pendulum has been implemented, and a control scheme using the eigenstructure assignment for decoupling control is presented in comparison with the conventional LQR optimal control method. Furthermore, this system can be utilized as a testbed to develop and evaluate new control algorithms through various setups. Finally, in this paper, the results of the experiment are compared with those of numerical simulations for validation.

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A Study on Modeling and LQ Control of Inverted Pendulum System (도립 전자 시스템의 모델링과 LQ제어에 관한 연구)

  • Yang, Ju-Ho;Choung, Kwang-Gyo
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.30 no.3
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    • pp.199-208
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    • 1994
  • The inverted pendulum is one of the control mechanism that has been frequently used to verify the control theory in the laboratory. In this paper, the author made an inverted pendulum driven by DC servomotor with a simple DC motor drive circuit, and constituted a control system. The control mechanism is modeled, and identified parameters of inverted pendulum system by experimental method. The author used the LQ regulator as control algorithm and the minimum order observer algorithm to observe states that can not be measured. And the validity of parameter identification and the excellent performance of the control system designed by LQR are confirmed.

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The Control of an Inverted Pendulum using Fuzzy-Sliding Control (퍼지 슬라이딩 제어를 이용한 도립 진자 제어)

  • Jang, Byeong-Hun;Ko, Jae-Ho;Bae, Young-Chul;Yim, Wha-Yeong
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.480-482
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    • 1998
  • Sliding mode is a robust control method and can be applied in the presence of model uncertainties and parameter disturbances. This study shows that the proposed fuzzy sliding mode control could reduce chattering problemed in sliding mode control. In this paper, an inverted pendulum is effectively controlled by the fuzzy sliding control technique. To reduce movable region of the inverted pendulum body, the angle and its integrated quantity are applied to the controller. The effectiveness of result is shown by the simulation and the experimental test for the inverted pendulum.

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Experimental Study of GA and Heuristic Control Rule based PID Controller for 2-Dimensional Inverted Pendulum (2차원 도립진자를 위한 GA 및 Heuristic한 제어규칙 기반 PID제어기의 실험적 연구)

  • 서강면;강문성
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.8
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    • pp.623-631
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    • 2003
  • We have fabricated the two-dimensional inverted pendulum system and designed its controller. The two-dimensional inverted pendulum system, which is composed of X-Y table, is actuated through timing belt by each of two geared DC motors. And the control goal is that the rod is always kept to a vertical position to any distrubance and is quickly moved to the desired position. Because this system has generally nonlinear dynamic characteristics and X-axis and Y-axis move together, it is very difficult to find its exact mathematical model and to design its controller. Therefore, we have designed the PID controller with simple structure and excellent performance. Genetic algorithm(GA), which is blown as one of probabilistic searching methods, and human's heuristic control strategy are introduced to design an optimal PID controller. The usefulness of the proposed GA based PID coefficient searching technique is verified through the experiments and computer simulations.

Design of Stabilizing Controller for an Inverted Pendulum System Using The T-S Fuzzy Model (T-S 퍼지 모델을 이용한 역진자 시스템의 안정화 제어기 설계)

  • 배현수;권성하;정은태
    • Journal of Institute of Control, Robotics and Systems
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    • v.8 no.11
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    • pp.916-921
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    • 2002
  • We presents a new method of constructing an equivalent T-S fuzzy model by using the sum of products of linearly independent scalar functions from nonlinear dynamics. This method exactly expresses nonlinear systems and automatically determines the number of rules. We design a stabilizing controller f3r ul inverted pendulum system by using the concep of parallel distributed compensation (PDC) and linear matrix inequalities (LMIs) based on the proposed T-S fuzzy modeling method. We show effectiveness of a systematically designed fuzzy controller based on the proposed T-S fuzzy modeling method through the simulation and experiment of an inverted pendulum system.

Control of the Attitude of a Wheeled Inverted Pendulum (차륜형 도립진자의 자세 제어)

  • Lee, Weon-Seob;Kim, Il-Hwan
    • Journal of Industrial Technology
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    • v.18
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    • pp.303-308
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    • 1998
  • In this paper a neural network controller called "Feedback-State Learning" for control of the attitude of a wheeled inverted pendulum is presented. For the controller the design of a stable feedback controller is necessary, so the LQR is used for the feedback controller because the LQR has good performance on controlling nonlinear systems. And the neural networks are used for a feed forward controller. The designed controller is applied to the stabilization of a wheeled inverted pendulum. Because of its nonlinear characteristics such as friction and parameter variations in the linearization, the wheeled inverted pendulum is used for demonstration of the effectiveness of the proposed controller.

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Numerical study on the walking load based on inverted-pendulum model

  • Cao, Liang;Liu, Jiepeng;Zhang, Xiaolin;Chen, Y. Frank
    • Structural Engineering and Mechanics
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    • v.71 no.3
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    • pp.245-255
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    • 2019
  • In this paper, an inverted-pendulum model consisting of a point supported by spring limbs with roller feet is adopted to simulate human walking load. To establish the kinematic motion of first and second single and double support phases, the Lagrangian variation method was used. Given a set of model parameters, desired walking speed and initial states, the Newmark-${\beta}$ method was used to solve the above kinematic motion for studying the effects of roller radius, stiffness, impact angle, walking speed, and step length on the ground reaction force, energy transfer, and height of center of mass transfer. The numerical simulation results show that the inverted-pendulum model for walking is conservative as there is no change in total energy and the duration time of double support phase is 50-70% of total time. Based on the numerical analysis, a dynamic load factor ${\alpha}_{wi}$ is proposed for the traditional walking load model.

LQ control by linear model of Inverted Pendulum for Robust Control of Robotic Vacuum Sweeping Machine (연마기 로봇의 강인제어를 위한 역진자의 선형화 모델을 통한 LQ제어)

  • Kim, Soo-Young;Lee, Jae-Duck;Jin, Tae-Seok
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2012.05a
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    • pp.529-532
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    • 2012
  • This paper presents the system modeling, analysis, and controller design and implementation with a inverted pendulum system in order to test robust algorithm for sweeping machine. The balancing of an inverted pendulum by moving pendulum robot like as 'segway' along a horizontal track is a classic problem in the area of control. This paper will describe two methods to swing a pendulum attached to a cart from an initial downwards position to an upright position and maintain that state. The results of real experiment show that the proposed control system has superior performance for following a reference command at certain initial conditions.

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Robust Indirect Adaptive Fuzzy Controller for Balancing and Position Control of Inverted Pendulum System

  • Kim Yong-Tae;Kim Dong-Yon;Yoo Jae-Ha
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.2
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    • pp.155-160
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    • 2006
  • In the paper a robust indirect adaptive fuzzy controller is proposed for balancing and position control of the inverted pendulum system. Because balancing control rules of the pendulum and position control rules of the cart can be opposite, it is difficult to design an adaptive fuzzy controller that satisfy both objectives. To stabilize the pendulum at a specified position, the proposed fuzzy controller consists of a robust indirect adaptive fuzzy controller for balancing and a supervisory fuzzy controller which emulates heuristic control strategy and arbitrate two control objectives. It is proved that the signals in the overall system are bounded. Simulation results are given to verify the proposed adaptive fuzzy control method.