• Title/Summary/Keyword: an inverted pendulum system

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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.

A Study on Stabilization Control of Inverted Pendulum System using Evolving Neural Network Controller (진화 신경회로망 제어기를 이용한 도립진자 시스템의 안정화 제어에 관한 연구)

  • 김민성;정종원;성상규;박현철;심영진;이준탁
    • Proceedings of the Korean Society of Marine Engineers Conference
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    • 2001.05a
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    • pp.243-248
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    • 2001
  • The stabilization control of Inverted Pendulum(IP) system is difficult because of its nonlinearity and structural unstability. Thus, in this paper, an Evolving Neural Network Controller(ENNC) without Error Back Propagation(EBP) is presented. An ENNC is described simply by genetic representation using an encoding strategy for types and slope values of each active functions, biases, weights and so on. By an evolutionary programming which has three genetic operation; selection, crossover and mutation, the predetermine controller is optimally evolved by updating simultaneously the connection patterns and weights of the neural networks. The performances of the proposed ENNC(PENNC) are compared with the ones of conventional optimal controller and the conventional evolving neural network controller(CENNC) through the simulation and experimental results. And we showed that the finally optimized PENNC was very useful in the stabilization control of an IP system.

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CDM Controller Incorporating Friction Compensation for Rotational Inverted Pendulum

  • Cahyadi, Adha I.;Benjanarasuth, Taworn;Isarakorn, Don;Ngamwiwit, Jongkol;Komine, Noriyuki
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1901-1905
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    • 2004
  • A controller designed by CDM for a servo type system which is an augmented system constructed from a rotational inverted pendulum with an integrator added to its arm, is presented in this paper. In order to be able to apply the CDM concept, the augmented system must be linearized and converted into controllable canonical form. Then, the controller consisting of the state feedback gain matrix and an integral gain in the sense of CDM can be obtained. This shows that design procedure for the proposed controller is easy. The experimental results obtained from the rotational inverted pendulum controlled by the proposed controller show that the system response has no steady-state error, however, the oscillation amplitude of the arm angle is still significant. Therefore, in this paper, the friction compensation using Coulomb friction with stiction is also added to the controller. The oscillation amplitude of the arm angle that can be reduced remarkably is also shown in the experimental results.

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A Study on Friction Measurement of an Inverted Pendulum System using the Regression Analysis (회귀분석을 통한 역진자 시스템의 마찰력 측정에 관한 연구)

  • Park, Kyung-Yun;Park, Duck-Gee;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Proceedings of the KIEE Conference
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    • 2006.07d
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    • pp.1775-1776
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    • 2006
  • This paper deals with the problem of friction measurement of an inverted pendulum system using the regression analysis and proposes a solution. The approach taken in this study is getting the friction from a regression relational expression between the motor voltage and the cart velocity of an inverted pendulum system. The result to compensate LQR (linear Quadratic Regulator) controller with the friction which is measured in system, improved the performance of the system. Above all, the study has found that the proposed compensation of the friction reduces the oscillation of the cart position. In conclusion, the proposed method is useful when parameters in the given system model are not known.

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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
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    • v.15 no.2
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    • pp.125-130
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    • 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.

Experimental Adaptive Fuzzy Sliding Mode Control of an Inverted Pendulur (도립 진자의 적응 퍼지 슬라이딩 모드 제어기 실험)

  • Kim, Sung-Tae;Park, Hae-Min;Kim, Young-Tae
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2143-2145
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    • 2002
  • This paper proposes the control problem of an inverted pendulum system based on adaptive fuzzy sliding mode. The universal approximating capability, learning ability, adaptation capability and disturbance rejection are collected in one control strategy. The proposed scheme does not require an accurate dynamic model and the joint acceleration measurement, yet it guarantees asymptotic trajectory tracking. Experimental results perform with an inverted pendulum to show the effectiveness of the approach.

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A partial feedback linearization control of inverted pendulum by using nonlinear additional input (비선형 추가입력을 이용한 도립 진자의 부분 궤환 선형화 제어기 설계)

  • Kim, Yong-Jun;Yoem, Dong-Hae;Choi, Jin-Young
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.58-62
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    • 2002
  • This paper proposes a new nonlinear controller to swing-up an inverted pendulum system mounted on a car. This controller considers not only the pendulum but also the displacement of the cart. A single-input multi-output system is considered to control the inverted pendulum by using partial feedback linearization and nonlinear additional input. The asymptotic stability of the system is shown by using Lyapunov function. The simulation results show effectiveness of the proposed controller.

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A New Approach to the Design of a Fuzzy Sliding Mode Controller for Uncertain Nonlinear Systems

  • Seo, Sam-Jun;Kim, Dong-Sik;Kim, Dong-Won;Yoo, Ji-Yoon;Park, Gwi-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.646-651
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    • 2004
  • This paper deals with a new adaptive fuzzy sliding mode controller and its application to an inverted pendulum. We propose new method of adaptive fuzzy sliding mode control scheme that the fuzzy logic system is used to approximate the unknown system functions in designing the SMC of uncertain nonlinear systems. The controller's construction and its analysis involve sliding modes. The proposed controller consists of two components. Sliding mode component is employed to eliminate the effects of disturbances, while a fuzzy model component equipped with an adaptation mechanism reduces modeling uncertainties by approximating model uncertainties. To demonstrate its performance, the proposed control algorithm is applied to an inverted pendulum. The results show that both alleviation of chattering and performance are achieved

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Adaptive Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems

  • Seo, Sam-Jun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.11 no.1
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    • pp.12-18
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    • 2011
  • This paper deals with a new adaptive fuzzy sliding mode controller and its application to an inverted pendulum. We propose a new method of adaptive fuzzy sliding mode control scheme that the fuzzy logic system is used to approximate the unknown system functions in designing the SMC of uncertain nonlinear systems. The controller's construction and its analysis involve sliding modes. The proposed controller consists of two components. Sliding mode component is employed to eliminate the effects of disturbances, while a fuzzy model component equipped with an adaptation mechanism reduces modeling uncertainties by approximating model uncertainties. To demonstrate its performance, the proposed control algorithm is applied to an inverted pendulum. The results show that both alleviation of chattering and performance are achieved.

Implementation and Experiment of Neural Network Controllers for Intelligent Control System Education

  • Lee, Geun-Hyeong;Noh, Jin-Seok;Jung, Seul
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.7 no.4
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    • pp.267-273
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    • 2007
  • This paper presents the implementation of an educational kit for intelligent system control education. Neural network control algorithms are presented and control hardware is embedded to control the inverted pendulum system. The RBF network and the MLP network are implemented and embedded on the DSP 2812 chip and other necessary functions are embedded on an FPGA chip. Experimental studies are conducted to compare performances of two neural control methods. The intelligent control educational kit(ICEK) is implemented with the inverted pendulum system whose movements of the cart is limited by space. Experimental results show that the neural controllers can manage to control both the angle and the position of the inverted pendulum systems within a limited distance. Performances of the RCT and the FEL control method are compared as well.