• Title/Summary/Keyword: Simple Pendulum

Search Result 89, Processing Time 0.025 seconds

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
    • /
    • v.30 no.3
    • /
    • pp.199-208
    • /
    • 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.

  • PDF

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
    • /
    • v.9 no.8
    • /
    • pp.623-631
    • /
    • 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.

Reducing Ship Rolling with a Anti-Rolling Pendulum (안티롤링 진자를 이용한 부유체의 횡동요 저감)

  • Park, Sok-Chu;Yi, Geum-Joo;Park, Kyung-Il
    • Journal of Navigation and Port Research
    • /
    • v.40 no.6
    • /
    • pp.361-368
    • /
    • 2016
  • A ship's rolling motion can make crew and passengers sick and/or apply forces to the structure that cause damage.. Therefore bilge keels are equipped in most ships for anti-rolling. In special cases, anti-rolling tanks (ARTs), fin stabilizers, or gyroscopes can be installed. However, ARTs require a large area to install, and fin stabilizers and gyroscopes are costly to install and expensive to operate. This paper suggests a Anti-rolling pendulum (ARP) to reduce roll motion. ARPs acts like ARTs. However, the ARP has a circular shaped guidance arc instead of the string or wire of a simple pendulum. The device suggested has about 1/ 8 the weight and 1/ 6 the volume of a ART and is more effective. This study derives the nonlinear and linear differential equations of system motion.

A Study on the Stability of Dynamic Walking of a Humanoid Robot (휴머노이드 로봇의 동보행 안정도에 관한 연구)

  • Lee, Ji-Young;Cho, Jung-San;Lee, Sang-Jae
    • Journal of the Korean Society of Manufacturing Process Engineers
    • /
    • v.15 no.2
    • /
    • pp.125-130
    • /
    • 2016
  • In this paper, we deal with the dynamic walking of a humanoid robot. In our method, the inverted pendulum model is used as a dynamic model for a humanoid robot in which the Zero Moment Point (ZMP) and COG constraints of the robot are analyzed by considering the motion of the robot as that of an inverted pendulum. The motion of a humanoid robot should be generated by considering the dynamics of the robot, which commonly requires a large amount of computation. If a robot walks from one position to another while keeping the ZMP in the stable region, then the robot remains dynamically stable. The linear inverted pendulum model regards the whole robot as a point mass. It is simple, and relatively less computation is needed; however, it cannot model the whole dynamics of a humanoid robot. We propose a method for modeling a humanoid robot as an inverted pendulum system having 14 point masses. We also show that the dynamic stability of a humanoid robot can be determined more precisely by our method.

Design of Optimized Fuzzy Controller for Rotary Inverted Pendulum System Using Differential Evolution (차분진화 알고리즘을 이용한 회전형 역 진자 시스템의 최적 퍼지 제어기 설계)

  • Kim, Hyun-Ki;Lee, Dong-Jin;Oh, Sung-Kwun
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.60 no.2
    • /
    • pp.407-415
    • /
    • 2011
  • In this study, we propose the design of optimized fuzzy controller for the rotary inverted pendulum system by using differential evolution algorithm. The structure of the differential evolution algorithm has a simple structure and its convergence to optimal values is superb in comparison to other optimization algorithms. Also the differential evolution algorithm is easier to use because it have simpler mathematical operators and have much less computational time when compared with other optimization algorithms. The rotary inverted pendulum system is nonlinear and has a unstable motion. The objective is to control the position of the rotating arm and to make the pendulum to maintain the unstable equilibrium point at vertical position. The output performance of the proposed fuzzy controller is considered from the viewpoint of performance criteria such as overshoot, steady-state error, and settling time through simulation and practical experiment. From the result of both simulation and practical experiment, we evaluate and analyze the performance of the proposed optimal fuzzy controller from the comparison between PGAs and differential evolution algorithms. Also we show the superiority of the output performance as well as the characteristic of differential evolution algorithm.

A New Method for the Identification of Joint Mechanical Properties (관절계 역학적 특성의 정량적 평가방법)

  • 엄광문;김석주;한태륜
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.21 no.11
    • /
    • pp.209-218
    • /
    • 2004
  • The purpose of this paper is to suggest a practical and simple method for the identification of the joint mechanical properties and to apply it to human knee joints. The passive moment at a joint was modeled by three mechanical parts, that is, a gravity term, a linear damper term and a nonlinear spring term. Passive pendulum tests were performed in 5 fat and 5 thin men. The data of pendulum test were used to identify the mechanical properties of joints through sequential quadratic programming (SQP) with random initial values. The identification was successful where the normalized root-mean-squared (RMS) errors between the simulated and experimental joint angle trajectories were less than 10%. The parameter values of mechanical properties obtained in this study agreed with literature. The inertia, gravity and the damping constant were greater at fat men, which indicates more resistance to body movement and more energy consumption fer fat men. The suggested method is noninvasive and requires simple setup and short measurement time. It is expected to be useful in the evaluation of joint pathologies.

Man-Machine System for Controlling Triple Inverted Pendulum

  • S.Masui;T.Terano;Oh, K.shima
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 1993.06a
    • /
    • pp.1289-1292
    • /
    • 1993
  • Though fuzzy control is very popular at present, the application field of fuzzy system will be wider if we design it as a man-machine system. We suggest, in this paper, a man-machine cooperating system which makes easy the manual control of a triple inverted pendulum by simple fuzzy controller, and verify its effectiveness by experiments.

  • PDF

Design of an Augmented State Feedback Controller for a Wheeled Inverted Pendulum Returning to the Origin (원점 복귀 가능한 차륜형 역진자 제어를 위한 확장 상태피드백 제어기 설계)

  • Lee, Se-Han
    • The Journal of Korea Robotics Society
    • /
    • v.6 no.4
    • /
    • pp.317-322
    • /
    • 2011
  • An augmented state feedback controller for a Wheeled Inverted Pendulum (WIP) is proposed in this research. The augmented state feedback controller is able to keep the WIP returning to the origin. Generally, the WIP has both stable and unstable equilibrium points. To keep the WIP over the unstable equilibrium point, the WIP consistently is being controlled. A simple state feedback controller is letting the WIP out of the origin when the center of gravity of the WIP locates out of the schematic center line. In some case of applications, it may not be desirable that the WIP is drifting out of the initial location. The proposed augmented state feedback controller is able to keep the WIP at the initial location whether its center of gravity lies out of the center line or not. Numerical simulations are carried out to show the validation of the augmented sated feedback controller.

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
    • /
    • v.49 no.3
    • /
    • pp.157-163
    • /
    • 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.

  • PDF

Digital Control of An Inverted Pendulum by Using Intelligent Digital Redesign (지능형 디지탈 재설계를 이용한 도립 진자의 디지탈 제어)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • The Transactions of the Korean Institute of Electrical Engineers D
    • /
    • v.50 no.10
    • /
    • pp.457-463
    • /
    • 2001
  • This paper presents a simple and new digital redesign algorithm for fuzzy-model-based controllers. In the first stage, a continuous-time TS fuzzy model is constructed for a given continuous-time nonlinear system and a corresponding continuous-time fuzzy-model-based controller is established based on the existing controller synthesis algorithms. In the second stage, the continuous-time fuzzy-model-based controller is converted to equivalent discrete-time fuzzy-model-based controller, aiming at maintaining the property of the analogue controlled system, which are called intelligent digital redesign. Finally, the proposed method is applied to the digital control of inverted pendulum system to shows the effectiveness and the effectiveness and the feasibility of the method.

  • PDF