• Title/Summary/Keyword: Inverted Pendulum Model

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LQ control by linear model of Inverted Pendulum Robot for Robust Human Tracking (도립형 로봇의 강건한 인간추적을 위한 선형화 모델기반 LQ제어)

  • Jin, Taeseok
    • Journal of the Korean Society of Industry Convergence
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    • v.23 no.1
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    • pp.49-55
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    • 2020
  • This paper presents the system modeling, analysis, and controller design and implementation with a inverted pendulum system in order to test Linear Quadratic control based robust algorithm for inverted pendulum robot. The balancing of an inverted pendulum robot 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.

An Observer Design and Compensation of the Friction in an Inverted Pendulum using Adaptive Fuzzy Basis Functions Expansion (적응 법칙 기반의 퍼지 기초 함수를 이용한 도립진자의 마찰력 관측기 설계 및 마찰력 보상)

  • Park, Duck-Gee;Park, Min-Ho;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.4
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    • pp.335-343
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    • 2007
  • This paper deals with the method to estimate the friction in a system. We study a nonlinear friction model to estimate the friction in an inverted pendulum and approximate the friction model using fuzzy basis functions expansion. To demonstrate the friction observer using FBFs, we derive a update rule based on the error term that is formed by the output from a real system and observer output with a friction estimate. And two compensation algorithms to improve the response of an inverted pendulum are proposed. The first method that a observer parameter is updated in on-line and the friction is compensated at the same time. The second method is to compensate the friction with observer parameter estimated priori. The two methods is compared through the experimental results.

RCGA-Based Parameter Estimation and Stabilization Control of an Inverted Pendulum System (RCGA를 이용한 도립진자 시스템의 파라미터 추정 및 안정화 제어)

  • Ahn, Jong-Kap;Lee, Yun-Hyung;Yoo, Heui-Han;So, Myung-Ok;Jin, Gang-Gyoo
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.6
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    • pp.746-752
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    • 2006
  • This paper presents a scheme for the parameter estimation and stabilization of unstable systems, such as inverted pendulum systems. First a stable feedback loop is constructed for an inverted pendulum system and then its parameters are estimated based on input-output data, a real-coded genetic algorithm(RCGA) and the model adjustment technique. Then, a PI-type LQ control scheme is designed based on the estimated model. The performance of the proposed algorithm is demonstrated through a set of simulation and experiment.

Estimation and Compensation of the Coulomb Friction in an Inverted Pendulum (쿨롱 마찰력 추정과 보상을 통한 역진자 시스템의 제어 성능 개선)

  • Park, Duck-Gee;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.11
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    • pp.483-490
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    • 2006
  • When the nonlinearities, such as friction and backlash, are not considered in the controller design, undesirable oscillations can occur in the steady-state response of a control system. This paper deals with a method to reduce oscillations that often appear in the steady-state response of a pendulum system, which is controlled by a state feedback controller based on the linearized system model. With an assumption that the oscillations shown in the steady-state are caused by the Coulomb friction, we improve the performance of stabilization and tracking by estimating and compensating for the Coulomb friction in the pendulum system. Experimental results show that the control performance can be improved sufficiently by the proposed method, when it is applied to an inverted cart pendulum which is a multi-variable unstable system. Furthermore, we could see that the Coulomb friction model used in the estimation of the friction is valid in applying the suggested method.

Interactive Locomotion Controller using Inverted Pendulum Model with Low-Dimensional Data (역진자 모델-저차원 모션 캡처 데이터를 이용한 보행 모션 제어기)

  • Han, KuHyun;Kim, YoungBeom;Park, Byung-Ha;Jung, Kwang-Mo;Han, JungHyun
    • Journal of Korea Multimedia Society
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    • v.19 no.8
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    • pp.1587-1596
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    • 2016
  • This paper presents an interactive locomotion controller using motion capture data and inverted pendulum model. Most of the data-driven character controller using motion capture data have two kinds of limitation. First, it needs many example motion capture data to generate realistic motion. Second, it is difficult to make natural-looking motion when characters navigate dynamic terrain. In this paper, we present a technique that uses dimension reduction technique to motion capture data together with the Gaussian process dynamical model (GPDM), and interpolates the low-dimensional data to make final motion. With the low-dimensional data, we can make realistic walking motion with few example motion capture data. In addition, we apply the inverted pendulum model (IPM) to calculate the root trajectory considering the real-time user input upon the dynamic terrain. Our method can be used in game, virtual training, and many real-time applications.

Nonlinear Control of an Input-Constrained Inverted Pendulum (입력제약을 고려한 도립진자의 비선형 제어)

  • Jung, Jae-Hoon
    • Proceedings of the KIEE Conference
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    • 2003.11b
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    • pp.119-122
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    • 2003
  • The aim of this paper is to propose a nonlinear controller for a single cart-type inverted pendulum using energy-based control scheme. Using a nonlinear model relating the angular position and velocity to the control input and a nonlinear controller is designed to regulate the angular position and velocity in the presence of input constraints. It is proved that the angular position and velocity converge to zero.

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Design of Rotary Inverted Pendulum applying an Embedded System and Implementation by PID (Embeded system을 적용한 Rotary Inverted Pendulum 설계 및 PID에 의한 구현)

  • 김영춘;김정훈;김영탁;김동한
    • Proceedings of the IEEK Conference
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    • 2002.06e
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    • pp.5-8
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    • 2002
  • In this paper, we applied a PC interface and an embedded system in order to design a non-linear system and implement the PID algorithm as our control one. We used the inverted pendulum, one of the most generally used non-linear system models, to control uncertain factors in the environment. This paper showed how to use this non-linear system model to control the factors completely as well as to understand the PID algorithm. Furthermore, this paper applied and understood the embedded system.

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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.

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
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    • v.50 no.10
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    • pp.457-463
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    • 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.

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Stable Walking for an Inverted Pendulum Type Biped Robot (도립 진자형 이족보행로봇을 위한 안정보행)

  • Kang, Chan-Su;Noh, Kyung-Kon;Kim, Jin-Geol
    • Proceedings of the KIEE Conference
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    • 2003.11c
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    • pp.456-459
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    • 2003
  • This paper deal with the biped walking stability by inverted pendulum type balancing joints. This model is hard to interpretation for the nonlinearity caused by upper direction movement then conventional model which have roll and prismatic joints. We can interpret this model by a linear approximation or interpolation method. This paper use a linear approximation method that can decide a movement of upper direction. Inverted pendulum type balancing joints have a advantage of less movement for keep stability and similar with human than conventional model and this model can be used for humanoid robot. We can see a stability of biped by ZMP(Zero Moment Point). Genetic algorithm is used for trajectory planning that is important for stable walking of biped.

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