• Title/Summary/Keyword: double inverted pendulum

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Three-Level Decoupled Sliding Mode Control (3단 비간섭 슬라이딩모드 제어)

  • Ynchi, Ming;Jang, Seong-Dong;Sin, Hwa-Beom
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.49 no.8
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    • pp.467-472
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    • 2000
  • A three-level decoupled sliding mode controller is developed to achieve asymptotic stability for a class of sixth-order nonlinear systems. The sixth-order system is decoupled into three subsystems according to the structure of the whole system. Each subsystem has a separate control target in the form of a sliding surface. The information of the third sliding surface is transferred to the second one through an intermediate variable and the information of the second sliding surface is transferred to the first one through another intermediate variable. Consequently, the controller designed on the basis of the first sliding surface can make three subsystems move toward their sliding surfaces, respectively. The three-level decoupled sliding mode controller is applied to the double-inverted pendulum problem where the zero stable states are required.

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Fuzzy Control of Double Inverted Pendulum using DNA coding Method (DNA 코딩방법을 이용한 이중도립진자의 퍼지제어)

  • Lim, Tea-Woo;Kwon, Yang-Won;Choi, Yong-Sun;Ahn, Tae-Chon
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2633-2635
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    • 2000
  • In this paper, a new DNA coding method, namely modified DNA coding method based on the biological DNA and the evolution mechanism of genetic algorithm. In order to evaluate the propose algorithms, for an example, they are applied to the fuzzy control of parallel double inverted pendulum system. Simulation result show the method is effective in finding the fuzzy control rules and is more excellent than conventional methods in control the system.

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Control of a Rotary Double Inverted Pendulum using LQR Control Algorithm (LQR 제어 알고리즘을 이용한 원운동형 2축 도립 진자의 제어)

  • Hwang, Eon-Du;Park, Min-Ho;Lee, Sang-Hyuk
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.2240-2242
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    • 2001
  • A rotary double inverted pendulum, the nonlinear system has a regulation problem. In this paper, we linearize the nonlinear system at the upright equilibrium position. The linearized system can be expressed in state space. To maintain the upright position, we design a feedback controller using LQR(Linear Quadratic Regulator) algorithm. Then we simulate the system with third-order Adams Bashforth Moulton Method. The simulated result shows that the applied algorithm is effective for the regulation problem.

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Human-like Balancing Motion Generation based on Double Inverted Pendulum Model (더블 역 진자 모델을 이용한 사람과 같은 균형 유지 동작 생성 기술)

  • Hwang, Jaepyung;Suh, Il Hong
    • The Journal of Korea Robotics Society
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    • v.12 no.2
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    • pp.239-247
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    • 2017
  • The purpose of this study is to develop a motion generation technique based on a double inverted pendulum model (DIPM) that learns and reproduces humanoid robot (or virtual human) motions while keeping its balance in a pattern similar to a human. DIPM consists of a cart and two inverted pendulums, connected in a serial. Although the structure resembles human upper- and lower-body, the balancing motion in DIPM is different from the motion that human does. To do this, we use the motion capture data to obtain the reference motion to keep the balance in the existence of external force. By an optimization technique minimizing the difference between the motion of DIPM and the reference motion, control parameters of the proposed method were learned in advance. The learned control parameters are re-used for the control signal of DIPM as input of linear quadratic regulator that generates a similar motion pattern as the reference. In order to verify this, we use virtual human experiments were conducted to generate the motion that naturally balanced.

Design of $H_{\infty}$Controller for the inverted pendulum system (도립진자 시스템의 $H_{\infty}$ 제어기 설계)

  • Seo, Kang-Myun;Kang, Moon-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.10
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    • pp.1796-1803
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    • 2006
  • This Paper describes a systematic method for designing the $H_{\infty}$ controller for the inverted pendulum which is a nonlinear and single-input double-outputs system. In particular, the open-loop system is conbined with a pre-filter to shape the open-loop transfer function for the sensitivity function ind the complementary sensitivity function to be kept the desirable frequency characteristics. Consequently, the loop shaping technique of the open-loop transfer function reduces the impacts of the model uncertainties, measurement noises and exogenous disterbances on the dynamic characteristics of the inverted pendulum. The results of simulation and experiment show the efficiency of the proposed control method comparing with conventional PID control method.

A pole assignment control design for single-input double-output nonlinear mechanical systems

  • Kobayashi, Masahito;Tamura, Katsutoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.144-149
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    • 1993
  • This paper discusses a design of a nonlinear control for a class of single-input double-output nonlinear mechanical systems. When conventional linearization methods are applied to the mechanical systems, some problems of oscillation and unstable phenomena arise. The proposed nonlinear control system resolves these problems. In this design the eigenvalues of the closed-loop nonlinear system are assigned to desired locations and local asymptotic stability of the closed-loop system. is guaranteed. The design method is applied to an inverted pendulum system with a moving weight mechanism. Experimental results show that the proposed nonlinear controller is more effective for stability than the usual linear controller.

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Automatic Acquisition of Fuzzy Reasoning Rules for Double Inverted Pendulum Controller Using Modified DNA coding method (변형된 DNA 코딩 방법을 이용한 이중 도립진자 제어기의 퍼지 추론규칙 자동획득)

  • Yun, Sung-Yong;Han, Il-Suk;Oh, Sung-Kwun;Ahn, Tea-Chon
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.576-578
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    • 1999
  • 본 논문에서는 생물학적인 DNA와 유전자 알고리즘의 진화 메커니즘에 근거를 둔 DNA 코딩방법을 변형하여 새로운 DNA 코딩 방법을 제안한다. 이 방법은 기존의 DNA 코딩 방법이 DNA 유전자의 Redundancy와 Over-lapping 성질 때문에 갖고 있는 DNA 자체의 특성인 염색체의 길이를 자유자재로 변화시킬 수 있는 코딩 기술에 진화단계에서 변형을 가할 수 있는 새로운 유전자 알고리즘을 추가하여, 초기에 국소해로 접근하는 일반적인 유전자 알고리즘의 위험 부담률을 줄이고, 전역 해로의 접근 가능성을 높이는 방법을 제시한다. 또한. 이 변형된 DNA 코딩 방법의 가능성을 입증하기 위하여 시스템 제어에 필요한 지식을 표현하는 적당한 퍼지 규칙을 후건부의 매개변수의 동조만을 통하여 획득하고, 이 규칙에 변형된 DNA 코딩 방법을 적용하여 최적화 된 새로운 퍼지규칙 획득 알고리즘을 개발한다. 제안된 알고리즘을 이용한 퍼지 제어기를 설계하고. 이 제어기의 유용성을 입증하기 위하여 병렬형 이중 도립진자 시스템에 적용하여 시뮬레이션을 실행한 결과 효과적으로 퍼지규칙을 획득하고 제어함을 알 수 있다.

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