• 제목/요약/키워드: Inverted Pendulum System

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Design of Simple-Structured Fuzzy Logic Systems for Segway-Type Mobile Robot

  • Yoo, Hyun-Ho;Choi, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제15권4호
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    • pp.232-239
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    • 2015
  • Studies on the control of the inverted pendulum type system have been widely reported. This is because it is a typical complex nonlinear system and may be a good model for verifying the performance of a proposed control system. In this paper, we propose the design of some fuzzy logic control (FLC) systems for controlling a Segway-type mobile robot, which is an inverted pendulum type system. We first derive a dynamic model of the Segway-type mobile robot and then analyze it in detail. Next, we propose the design of some FLC systems that have good performance for the control of any nonlinear system. Then, we design two conventional FLC systems for the position and balance control of the Segway-type mobile robot, and we demonstrate their usefulness through simulations. Next, we point out the possibility of simplifying the design process and reducing the computational complexity,, which results from the skew symmetric property of the fuzzy control rule tables. Finally, we design two other FLC systems for position and balance control of the Segway-type mobile robot. These systems have only one input variable in the FLC systems. Furthermore, we observe that they offer similar control performance to that of the conventional two-input FLC systems.

샘플치 시스템의 루프정형 2자유도 H_{\infty}디지털 제어기 설계 (The Design of Loop-shaping Two-degree-of-freedom H_{\infty} Digital Controller for Sampled-data System)

  • 이상철;박종우;조도현;이종용;이상효
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권9호
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    • pp.495-503
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    • 2000
  • In this paper we propose a design procedure of loop-shaping two-degree-of-freedom H$\infty$ digital controller for sampled-data system. We extend the continuous time loop-shaping two-degree-of-freedom H$\infty$ control problem to sampled-data system. The configuration of generalized plant is modified for sampled-data system. And then using continuous lifting we obtain the digital controller. In the final stage of loop-shaping procedure the problem of absorbing weighting functions is discussed. We summarize this study to the design procedure and illustrate the application for an inverted pendulum on the cart.

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QFT(Quantitative Feedback Theory)를 이용한 불안정한 시스템의 안정화를 위한 강인 제어기 설계 (A Design of the Robust Controller for Stabilization of the Unstable System Using QFT(Quantitative Feedback Theory))

  • 강민구;변기식
    • 융합신호처리학회논문지
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    • 제2권3호
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    • pp.57-64
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    • 2001
  • 본 논문은 시스템의 불확실성과 외란의 불확실성에도 불구하고 원하는 시스템 성능을 만족할 수 있는 강인한 제어기 설계에 대하여 서술한다. QFT(Quantitative Feedback Theory)에 근거한 강인한 제어기 설계과정은 시스템 파라미터 변동과 설계사양을 고려하여 결정되는 템플레이트, 한계조건 그리고 루프형성을 거친다. 설계된 제어기의 성능을 입증하기 위해 파라미터 변동에 매우 민감하고, 비선형성이 강하며 불안정한 특성을 지닌 도립진자시스템에 대하여 적용한다. 설계된 제어기에 대한 시뮬레이션과 실험결과들은 파라메파 변동과 외란에 강인한 제어성능을 보인다.

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Indirect Adaptive Fuzzy Observer Design

  • Yang, Jong-Kun;Hyun, Chang-Ho;Kim, Jae-Hun;Kim, Eun-Tai;Park, Mi-Gnon
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2004년도 추계학술대회 학술발표 논문집 제14권 제2호
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    • pp.192-196
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    • 2004
  • This paper proposes an alternative observation scheme, T-S fuzzy model based indirect adaptive fuzzy observer. Nonlinear systems are represented by fuzzy models since fuzzy logic systems are universal approximators. In order to estimate the unmeasurable states of a given nonlinear system, T-S fuzzy modeling method is applied to get the dynamics of an observation system. T-S fuzzy system uses the linear combination of the input state variables and the modeling applications of them to various kinds of nonlinear systems can be found. The adaptive fuzzy scheme estimates the parameters comprising the fuzzy model representing the observation system. The proposed indirect adaptive fuzzy observer based on T-S fuzzy model can cope with not only unknown states but also unknown parameters. In the process of deriving adaptive law, the Lyapunov theory and Lipchitz condition are used. To show the performance of the proposed observation method, it is applied to an inverted pendulum on a cart.

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Indirect Adaptive Fuzzy Observer Design

  • Yang, Jong-Kun;Hyun, Chang-Ho;Kim, Jae-Hun;Kim, Eun-Tai;Park, Mignon
    • 한국지능시스템학회논문지
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    • 제14권7호
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    • pp.927-933
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    • 2004
  • This paper proposes an alternative observation scheme, T-S fuzzy model based indirect adaptive fuzzy observer. Nonlinear systems are represented by fuzzy models since fuzzy logic systems are universal approximators. In order to estimate the unmeasurable states of a given nonlinear system, T-S fuzzy modeling method is applied to get the dynamics of an observation system. T-S fuzzy system uses the linear combination of the input state variables and the modeling applications of them to various kinds of nonlinear systems can be found. The adaptive fuzzy scheme estimates the parameters comprising the fuzzy model representing the observation system. The proposed indirect adaptive fuzzy observer based on T-S fuzzy model can cope with not only unknown states but also unknown parameters. In the process of deriving adaptive law, the Lyapunov theory and Lipchitz condition are used. To show the performance of the proposed observation method, it is applied to an inverted pendulum on a cart.

두 바퀴로 구동하는 이동로봇 시스템의 균형 제어 (Balancing Control of a Two Wheeled Mobile Robot System)

  • 이형직;정슬
    • 전자공학회논문지SC
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    • 제48권6호
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    • pp.1-7
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    • 2011
  • 본 논문에서는 역진자 시스템과 이동로봇 시스템의 두 시스템으로 구성된 두 바퀴 구동 이동로봇의 구현 및 제어에 대해 논한다. 제어 목적은 균형을 유지하며 이동하는 것이다. 밸런싱 로봇은 한 점에서 회전이 가능하고 바닥으로 부터의 외란에 강건한 균형을 유지한다. 국부 및 전역 좌표계에서의 제어방식의 시뮬레이션을 수행하였다. 로봇이 대칭을 이루도록 만들어졌기 때문에 균형과 주행제어에 간단한 선형 제어기를 사용하였다. 기울어진 각도를 추출하기 위해 자이로와 기울기 센서를 융합하여 사용하였다. 주어진 원형 경로를 주행하는 실험을 수행하였다.

$H_{\infty}$ 최적제어 이론을 이용한 도립진자의 견실한 보상기 설계에 관한 연구 (A Study on the Robust Compensator of An Inverted Pendulum Using $H_{\infty}$ Optimal Control Theory)

  • 김대현;정규홍;이석재;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1991년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 22-24 Oct. 1991
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    • pp.213-218
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    • 1991
  • A new model which contains the dynamics of the motor system and the kinematics of the timing belt system is derived for an inverted pendulum system in FAPA Lab. Generalized standard compensator configuration(SCC) which contains the variable design parameters Kl, K2, .., K5 is proposed so that any desired design specification can be achieved. The robust controller which has robust property against the influence of sensor noise, system parameter variation and model uncertainty is designed minimizing the H$_{\infty}$-norm of transfer function from exogenous input to controlled output. The method of solving the two Riccati equations in state space and determining the controller uses on iteration method where the unique stabilizing solution to two algebraic Riccati equation must be positive definite and the spectral radius of their product less than .gamma.$^{2}$. Some cases are derived by varying the design parameter for simulation on a digital computer and experimenting the H$_{\infty}$- controller on an analog computer. The design parameters of controller which satisfies the desired control specification is selected on the basis of the simulation result and experimenting. The reasonableness and validity of the simulation and the robustness of the controller is established.d.

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Design of T-S Fuzzy Model based Adaptive Fuzzy Observer and Controller

  • Ahn, Chang-Hwan
    • 조명전기설비학회논문지
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    • 제23권11호
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    • pp.9-21
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    • 2009
  • This paper proposes the alternative observer and controller design scheme based on T-S fuzzy model. Nonlinear systems are represented by fuzzy models since fuzzy logic systems are universal approximators. In order to estimate the unmeasurable states of a given unknown nonlinear system, T-S fuzzy modeling method is applied to get the dynamics of an observation system. T-S fuzzy system uses the linear combination of the input state variables and the modeling applications of them to various kinds of nonlinear systems can be found. The proposed indirect adaptive fuzzy observer based on T-S fuzzy model can cope with not only unknown states but also unknown parameters. The proposed controller is based on a simple output feedback method. Therefore, it solves the singularity problem, without any additional algorithm, which occurs in the inverse dynamics based on the feedback linearization method. The adaptive fuzzy scheme estimates the parameters and the feedback gain comprising the fuzzy model representing the observation system. In the process of deriving adaptive law, the Lyapunov theory and Lipchitz condition are used. To show the performance of the proposed observer and controller, they are applied to an inverted pendulum on a cart.

T-S Fuzzy Model Based Indirect Adaptive Fuzzy Observer Design

  • Hyun Chang-Ho;Kim You-Keun;Kim Euntai;Park Mignon
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 2004년도 ICEIC The International Conference on Electronics Informations and Communications
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    • pp.348-353
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    • 2004
  • This paper proposes an alternative observation scheme, T-S fuzzy model based indirect adaptive fuzzy observer. Nonlinear systems arc represented by fuzzy models since fuzzy logic systems arc universal approximators. In order to estimate the unmeasurable states of a given nonlinear system, T-S fuzzy modeling method is applied to get the dynamics of an observation system. T-S fuzzy system uses the linear combination of the input state variables and the modeling applications of them to various kinds of nonlinear systems can be found. The adaptive fuzzy scheme estimates the parameters comprising the fuzzy model representing the observation system. The proposed indirect adaptive fuzzy observer based on T-S fuzzy model can cope with not only unknown states but also unknown parameters. In the process of deriving adaptive law, the Lyapunov theory and Lipchitz condition are used. To show the performance of the proposed observation method, it is applied to an inverted pendulum on a cart.

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퍼지 시스템을 이용한 ADALINE의 학습 방식 (Learning Method of the ADALINE Using the Fuzzy System)

  • 정경권;김주웅;정성부;엄기환
    • 전자공학회논문지CI
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    • 제40권1호
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    • pp.10-18
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    • 2003
  • 본 논문에서는 ADALINE의 학습을 위한 알고리즘을 제안하였다. 제안한 알고리즘은 직접 퍼지 논리 시스템을 이용하여 ADALINE의 연결강도를 조정하는 방식으로 퍼지 논리 시스템의 입력은 오차와 오차의 변화분이고, 출력은 연결강도 변화분이며, 각각의 연결강도는 스케일링 팩터만 다르게 하여 사용하였다. 제안한 알고리즘의 유용성을 확인하기 위하여 노이즈 제거와 인버티드 펜들럼 제어에 대하여 시뮬레이션과 실험을 수행하였다. Widrow-Hoff의 델타 규칙과 비교하였을 때 제안한 방식은 학습율을 선택할 필요도 없고, 성능이 우수함을 확인하였다.