• Title/Summary/Keyword: sliding system

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Sliding Mode Control based on Disturbance Observer for Magnetic Levitation Positioning Stage

  • Zhang, Shansi;Ma, Shuyuan;Wang, Weiming
    • Journal of Electrical Engineering and Technology
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    • 제13권5호
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    • pp.2116-2124
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    • 2018
  • Magnetic levitation system with the advantages of non-contact, no friction and no wear can satisfy the requirement of high precision and high speed positioning. In this paper, magnetic levitation positioning stage which mainly consists of planar coil and HALBACH permanent magnet array and its control and driving system are designed. Magnetic levitation system is a highly nonlinear and strongly coupled complex system and its control performance can be influenced by the uncertainty and external disturbance. So exact feedback linearization method is used to realize exact linearization and decoupling, and a strategy of sliding mode control based on disturbance observer is proposed to compensate the uncertainty and external disturbance. Detailed proofs of observer's convergence property and system stability are derived. Both the simulation and experiment results verify the effectiveness of sliding mode control algorithm based on disturbance observer.

고 강인성 적분 최적 가변구조 제어기 (A Highly Robust Integral Optimal Variable Structure System)

  • 이정훈
    • 전기전자학회논문지
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    • 제9권2호
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    • pp.87-100
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    • 2005
  • 본 연구는 불확실성이 존재하는 다이나믹 시스템을 고 강인성 및 성능 사전 결정 제어를 하기 위하여 적분 최적 가변구조 시스템을 설계한다. 제안된 제어기에서는 적분 슬라이딩 면을 이용 리칭 문제를 완전히 제거하여 시스템이 초기 값에서부터 바로 슬라이딩하여 외란과 불확실성에 무관하게 사전에 결정된 슬라이딩 면을 슬라이딩 모드 상태로 추종하므로 고 강인성 제어가 이루어진다. 적분 슬라이딩 면이 정의하는 이상 슬라이딩 동특성을 상태방정식 형으로 얻고, 고급 최적 제어 이론을 통하여 최적 의미로 설계한다. 이는 바로 슬라이딩 면과 등가 제어입력의 설계가 된다. 사전에 선정된 슬라이딩 면 위에 슬라이딩 모드를 발생할 제어입력을 설계하였다. 그 결과 외란과 불확정성에도 불구하고 주어진 초기 값에서부터 원점까지 전체 슬라이딩 출력이 완전하게 보장받는다. 더구나 기존의 최적 VSS에서는 설계 성능의 강인성을 보장받기 어려운데 반하여, 제안된 IOVSS에서는 실제 출력의 예측과 사전 결정이 가능하다. 예제를 들어 제안된 알고리듬의 성능을 검진한다.

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Direct Adaptive Fuzzy Sliding Mode Control for Under-actuated Uncertain Systems

  • Su, Shun-Feng;Hsueh, Yao-Chu;Tseng, Cio-Ping;Chen, Song-Shyong;Lin, Yu-San
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제15권4호
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    • pp.240-250
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    • 2015
  • The development of the control algorithms for under-actuated systems is important. Decoupled sliding mode control has been successfully employed to control under-actuated systems in a decoupling manner with the use of sliding mode control. However, in such a control scheme, the system functions must be known. If there are uncertainties in those functions, the control performance may not be satisfactory.In this paper, the direct adaptive fuzzy sliding mode control is employed to control a class of under-actuated uncertain systems which can be regarded as a combination of several subsystems with one same control input. By using the hierarchical sliding control approach, a sliding control law is derived so as to make every subsystem stabilized at the same time. But, since the system considered is assumed to be uncertain, the sliding control law cannot be readily facilitated. Therefore, in the study, based on Lyapunov stable theory a fuzzy compensator is proposed to approximate the uncertain part of the sliding control law. From those simulations, it can be concluded that the proposed compensator can indeed cope with system uncertainties. Besides, it can be found that the proposed compensator also provide good robustness properties.

일차원 퍼지 규칙 슬라이딩 평면을 이용한 터미널 슬라이딩 모드 제어 (Terminal Sliding Mode Control Using One Dimensional Fuzzy Rule Type Sliding Surfaces)

  • 서삼준
    • 한국지능시스템학회논문지
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    • 제26권5호
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    • pp.402-408
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    • 2016
  • 본 논문에서는 퍼지 슬라이딩 평면의 개념을 터미널 슬라이딩 평면의 기울기를 선정하는데 적용한 일차원 퍼지규칙 슬라이딩 평면을 이용한 터미널 슬라이딩 제어기를 제안하였다. 터미널 슬라이딩 모드 제어기의 개념을 확장하여 연속인 도달법칙을 가지는 터미널 슬라이딩 모드 제어 입력을 제안하였다. 컴퓨터 모의실험에서 제안한 제어기는 터미널 슬라이딩 모드 제어기 보다 빠른 수렴 특성과 채터링이 발생하지 않는 특성을 보여주었으며 일차원 퍼지 규칙을 사용하여 계산량이 작다는 장점을 가지고 있다.

Formulation for seismic response of a ship-block system

  • Kuchaksarai, Masoud Moghaddasi;Bargi, Khosrow
    • Structural Engineering and Mechanics
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    • 제23권3호
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    • pp.293-308
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    • 2006
  • This paper presents a complete and consistent formulation to study the seismic response of a free-standing ship supported by an arrangement of n keel blocks which are all located in a dry dock. It is considered that the foundation of the system is subjected to both horizontal and vertical in plane excitation. The motion of the system is classified in eight different modes which are Rest (relative), Sliding of keel blocks, Rocking of keel blocks, Sliding of the ship, Sliding of both keel blocks and the ship, Sliding and rocking of keel blocks, Rocking of keel blocks with sliding of the ship, and finally Sliding and rocking of keel blocks accompanied with sliding of the ship. For each mode of motion the governing equations are derived, and transition conditions between different modes are also defined. This formulation is based on a number of fundamental assumptions which are 2D idealization for motion of the system, considering keel blocks as the rigid ones and the ship as a massive rigid block too, allowing the similar motion for all keel blocks, and supposing frictional nature for transmitted forces between contacted parts. Also, the rocking of the ship is not likely to take place, and the complete ship separation from keel blocks or separation of keel blocks from the base is considered as one of the failure mode in the system. The formulation presented in this paper can be used in its entirety or in part, and they are suitable for investigation of generalized response using suitable analytical, or conducting a time-history sensitivity analysis.

Sliding Mode Control of Spacecraft with Actuator Dynamics

  • Cheon, Yee-Jin
    • Transactions on Control, Automation and Systems Engineering
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    • 제4권2호
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    • pp.169-175
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    • 2002
  • A sliding mode control of spacecraft attitude tracking with actuator, especially reaction wheel, is presented. The sliding mode controller is derived based on quaternion parameterization for the kinematic equations of motion. The reaction wheel dynamic equations represented by wheel input voltage are presented. The input voltage to wheel is calculated from the sliding mode controller and reaction wheel dynamics. The global asymptotic stability is shown using a Lyapunov analysis. In addition the robustness analysis is performed for nonlinear system with parameter variations and disturbances. It is shown that the controller ensures control objectives for the spacecraft with reaction wheels.

Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems Using Fuzzy Models

  • Seo, Sam-Jun;Kim, Dong-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1262-1266
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    • 2003
  • Fuzzy sliding mode controller for a class of uncertain nonlinear dynamical systems is proposed and analyzed. 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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적분 슬라이딩 모드 제어기의 LMI 기반 설계 (LMI-based Design of Integral Sliding Mode Controllers)

  • 최한호
    • 제어로봇시스템학회논문지
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    • 제15권6호
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    • pp.563-566
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    • 2009
  • This paper presents an LMI-based method to design a integral sliding mode controller for a class of uncertain systems. Using LMIs we derive an existence condition of a sliding surface. And we give a switching feedback control law. Our method is a generalization of the previous integral sliding mode control design methods. Since our method is based on LMIs, it gives design flexibility for combining various useful design criteria that can be captured in the LMI-based formulation.

슬라이딩 모드 제어에 의한 불확정성을 가진 대규모 시간지연 선형 계통의 강인 분산 안정화 (Robust Decentralized Stabilization of Large-Scale Time-Delayed Linear Systems with Uncertainties via Sliding Mode Control)

  • 박장환;유정웅
    • 제어로봇시스템학회논문지
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    • 제5권2호
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    • pp.139-144
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    • 1999
  • The present paper is concerned with the robust decentralized stabilization problem of large-scale systems with time delays in the interconnections using sliding mode control. Based on Lyapunov stability theorem and H$_{\infty}$ theory, an existence condition of the sliding mode and a robust decentralized sliding mode controller are newly derived for large-scale systems under mismatched uncertainties. Finally, a numerical example is given to verify the validity of the results developed in this paper.

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SLIDING MODE MOULD LEVEL CONTROL IN CONTINUOUS CASTING PROCESS

  • Kueon, Yeong-Seob
    • 한국생산제조학회지
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    • 제7권4호
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    • pp.50-55
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    • 1998
  • Mould level control system for continuous casting process involves stick-slip friction in the sliding gate , time-delay, non-linearity, and certain uncertainties such as friction force variations between molten steel and the inner wall of mould. In this paper, sliding mode control technique was used to solve these complex control problem. The controller is then designed and implemented onto the continuous casting process. Testing result shows that sliding mode controller can decrease the fluctuating magnitude of the mould level and is superior to the existing PID controller.