• 제목/요약/키워드: Inverted pendulum Sliding surface

검색결과 12건 처리시간 0.023초

Application to Stabilizing Control of Nonlinear Mobile Inverted Pendulum Using Sliding Mode Technique

  • ;;;;김상봉
    • 한국해양공학회지
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    • 제23권2호
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    • pp.1-7
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    • 2009
  • This paper presents a sliding mode controller based on Ackermann's formula and applies it to stabilizing a two-wheeled mobile inverted pendulum in equilibrium. The mobile inverted pendulum is a system with an inverted pendulum on a mobile cart. The dynamic modeling of the mobile inverted pendulum was established under the assumptions of a cart with no slip and a pendulum with only planar motion. The proposed sliding mode controller was based upon a class of nonlinear systems whose nonlinear part of the modeling can be linearly parameterized. The sliding surface was obtained in an explicit form using Ackermann's formula, and then a control law was designed from reachability conditions and made the sliding surface attractive to the equilibrium state of the mobile inverted pendulum. The proposed controller was implemented in a Microchip PIC16F877 micro-controller. The developed overall control system is described. The simulation and experimental results are presented to show the effectiveness of the modeling and controller.

A Fuzzy Sliding Mode Control for Rotational Inverted Pendulum

  • Bin, Zheng;Lee, Dae-Sik
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 2006년도 추계학술대회 학술발표 논문집 제16권 제2호
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    • pp.323-326
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    • 2006
  • Rotational inverted pendulum is a typical under-actuated system. For its highly nonlinear characteristic, a sliding mode controller is chosen for its robustness against the system uncertainties. Tow fuzzy inference mechanisms are applied in this paper to reduce the chattering phenomenon. One is proposed to construct a time-varying sliding surface. Another one is used to obtain the minimum upper bound of the uncertainties. A comparison between the conventional sliding mode and the fuzzy sliding mode is shown by simulations.

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

  • ;장성동;신화범
    • 대한전기학회논문지:시스템및제어부문D
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    • 제49권8호
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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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A study on sliding surface design

  • Zhang, Yifan.;Lee, Sanghyuk
    • 중소기업융합학회논문지
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    • 제4권2호
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    • pp.25-31
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    • 2014
  • 비선형시스템에 대한 슬라이딩 모드제어 기법에 대한 연구를 수행하였다. 비선형 시스템의 파라미터가 제어성능과 간인성에 대한 관계를 구명하였다. 제어성능을 파악하기 위하여 역진자 시스템에적용하여 보았고, 다른 초기값, 슬라이딩 표면 그리고 입력값의 변화를 통하여 비교결과를 얻었다. 제어값은 제한적이었으며 슬라이딩 표면 역시 예외없이 제한폭을 나타냈다. 채터링 현상은 피할수 없이 존재하였으며, 이를 극복하기 위하여 수정된 불연속 제어기를 사용하여 현상을 감소시켰다.

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이륜 도립진자 이동로봇을 위한 강인제어기 설계 (Robust Control Design for a Two-Wheeled Inverted Pendulum Mobile Robot)

  • 유동상
    • 한국지능시스템학회논문지
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    • 제26권1호
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    • pp.16-22
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    • 2016
  • 세계적으로 수많은 로봇연구실에서 이륜 도립진자 이동로봇에 대한 연구가 진행되고 있다. 본 논문에서는 이런 이륜 도립진자 이동로봇이 평탄한 경사면에서 안정적으로 주행할 수 있도록 하는 강인 제어기를 개발하는 것으로 고려한다. 경사면에서 이륜 도립진자 이동로봇의 균형을 위해 3 자유도의 운동방정식에서 선회운동을 제한한 2 자유도 동력학식을 사용하며, 가변구조시스템 이론을 근간으로 하는 슬라이딩 모드 제어기를 제안하고 LQR 이론을 이용하여 슬라이딩 운동이 일어나는 슬라이딩 평면을 설계한다. 시뮬레이션을 위해 Mathworks사의 Simulink를 활용하여 이륜 도립진자 이동로봇의 2 자유도 모델을 실현하고, 슬라이딩 모드 제어기 또한 Simulink를 이용하여 구현한다. 시뮬레이션 결과를 통해 제안된 제어기가 경사면을 주행하는 이륜 도립진자 이동로봇을 효과적인 제어한다는 것을 보인다.

비선형 퍼지 슬라이딩면을 이용한 가변구조 제어기의 설계 (Design of a Variable Structure Controller Using Nonlinear Fuzzy Sliding Surfaces)

  • 이희진;손홍엽;김은태;조영환;박민용
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1997년도 추계학술대회 학술발표 논문집
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    • pp.449-452
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    • 1997
  • In this paper, we suggest a variable structure controller using the time-varying nonlinear sliding surface instead of the fixed sliding surface, which has been the robustness against parameter variations and extraneous disturbance during the reaching phase. As appling TS fuzzy algorithm to the regulation of the nonlinear sliding surface, the reaching time of the system trajectory is faster than the fixed method . This proposed scheme has better performance than the conventional method in reaching time parameter variation and extraneous disturbance. To demonstrate its performance, the proposed control algorithm is applied to a rotational inverted pendulum.

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Fuzzy Logic Based Sliding Mode Control

  • Kim, Sung-Woo;Lee, Ju-Jang
    • 한국지능시스템학회:학술대회논문집
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    • 한국퍼지및지능시스템학회 1993년도 Fifth International Fuzzy Systems Association World Congress 93
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    • pp.822-825
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    • 1993
  • A fuzzy logic controller derived from the variable structure control (VSC) theory is designed. Unlike the conventional design of the fuzzy controller, we do not fuzzify the error and the rate of error, but fuzzify the sliding surface. After the fuzzy sliding surface is introduced, the fuzzy rules are defined based on the sliding control theory. It will be shown this sliding mode fuzzy controller is a kind of VSC that introduces the boundary layer in the switching surface and that the control input is continuously approximated in the layer. As a result we can guarantee the stability and the robustness by the help of VSC, which were difficult to insure in the past fuzzy controllers. Simulation results for the inverted pendulum will show the validity.

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강인성과 응답 성능을 고려한 슬라이딩모드 퍼지 제어기 설계에 관한 연구 (A New Design Method of Sliding Mode Fuzzy Controller with Robust and fast Performance)

  • 박창우;이장욱
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.425-428
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    • 1998
  • This paper proposes a new fuzzy controller using variable structure control theory. In this paper, after the time-varying fuzzy sliding surface is designed, the fuzzy rules are defined based on the variable structure control theory. This design method makes the fuzzy controller design more structured and can guarantee the stability and robustness of the fuzzy controller and overcome the shortcoming of the variable structure system. Through computer simulation and experiment of nonlinear inverted pendulum system, this thesis demonstrate that system has the robustness against disturbance and modelling error, and the tracking performance of it is improved.

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비선형 퍼지 슬라이딩면을 갖는 가변 구조 제어기의 설계 (Design of a Variable Structure Controller with Nonlinear Fuzzy Sliding Surgaces)

  • 이희진;강형진;김정환;박민용
    • 한국지능시스템학회논문지
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    • 제8권5호
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    • pp.21-28
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    • 1998
  • 본 논문은 고정 슬라이딩면을 갖는 가변 구조 제어기의 단점인 도달영역에서의 파리미터의 불확실성과 외부 외란에 대한 민간성을 감소시키는 방안으로 고정 슬라이딩면 대신 비선형 퍼지 슬라이딩면을 제시한다. 비선형 퍼지 슬라이딩면을 통하여 시스템 상태 궤적이 초기 위치에서부터 평형점에 이르기까지 외란과 파라미터의 불확실성에 강인하게 되며 아울러 고정 슬라이딩면까지의 도달시간 뿐만 아니라 평형점까지의 도달시간도 감소하게 되는 특성을 보이고자 한다. 본 논문은 회전 역진자을 이용한 시뮬레이션을 통해 제안된 알고리즘을 적용하여 타당성을 입증하였다.

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신경회로망을 이용한 가변 구조 제어 시스템의 구현 (Implementations of the variable structure control system using neural networks)

  • 양오;양해원
    • 전자공학회논문지B
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    • 제33B권8호
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    • pp.124-133
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    • 1996
  • This paper presents the implementation of variable structure control system for a linear or nonlinear system using neural networks. The overall control system consists of neural network controller and a reaching mode controller. While the former approximates the equivalent control input on the sliding surface, the latter is used to bring the entire system trajectories toward the sliding surface. No supervised learning procedures are needed and the weights of the neural network are tuned on-line automatically. The neural netowrk-based variable structure control system is applied to a nonlinare unstable inverted pendulum system through computer simulations, and implemented using a microcomputer (80486-50MHz) and applied to the DC servomotor position control system. Simulation and experimental results show the expected approximation sliding property is occurred. The proposed controller is compared with a PID controller and shows better performance than the PID controller in abrupt plant parameter change.

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