• Title/Summary/Keyword: Fuzzy sliding mode control

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Fuzzy Sliding Mode Observer for Nonlinear System

  • Seo, Sam-Jun;Kim, Dong-Sik;Seo, Ho-Joon
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.42.2-42
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    • 2001
  • This paper deals with a fuzzy sliding mode observer for nonlinear systems. A nonlinear system is approximated by a multiple model Takagi Sugeno fuzzy system and then transformed into a canonical form for which a nonlinear observer is constructed. This study presents a type of fuzzy sliding mode observer that deals with matched and unmatched uncertainties in the plant dynamics very effectively. The proposed method was validated by the example of a inverted pendulum.

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Control of induction motors using adaptive fuzzy feedback linearization techniques (적응 퍼지 궤환선형화기법을 이용한 유도전동기의 제어)

  • 류지수;김정중;이기상
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1253-1256
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    • 1996
  • In this paper, a new nonlinear feedback linearization control scheme for induction motors is developed. The control scheme employs a fuzzy nonlinear identification scheme based on fuzzy basis function expansion to adoptively compensate the parameter variations, i.e. rotor resistance, mutual and self inductance etc. An important feature of the proposed control scheme is to incorporate the sliding mode controller into the scheme to speed up convergence rate. Simulation tests show the robust behavior of the proposed controller in the presence of the parameter uncertainties of the machine.

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A Study on the SIIM Fuzzy Quasi-Sliding Mode Control for the Double Inverted Pendulum on a Cart (수레-2축역진자 시스템의 SIIM 퍼지 의사-슬라이딩 모드 제어에 관한 연구)

  • Chai, Chang-Hyun;Kim, Seong-Ro
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.17 no.1
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    • pp.116-121
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    • 2018
  • In this paper, we propose the SIIM fuzzy Quasi-sliding mode controller for the system of a double inverted pendulum on a cart. Since it is difficult to handle this 6th-order system, we decoupled the entire system into three $2^{nd}$ order subsystem, and we designed the SIIM fuzzy Quasi-sliding mode controller for each subsystem, which was easy and did not require the derivation of the equivalent control. The stability of the entire system is guaranteed using Lyapunov function. The validity and robustness of the proposed controller are demonstrated through the computer simulation, and the results are compared with the results of former studies.

Self Tuning Adaptive Fuzzy Sliding Mode Control for Uncertain Nonlinear Systems (불확실한 비선형 계통에 대한 자기 동조 적응 퍼지 슬라이딩 모드 제어)

  • Kim Dong-Sik;Park Gwi-Tae;Seo Sam-Jun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.4
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    • pp.228-234
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    • 2005
  • In this paper, we proposed a self tuning adaptive fuzzy sliding control algorithms using gadient descent method to reduce chattering phenomenon which is viewed in variable control system. In design of FLC, fuzzy control rules are obtained from expert's experience and intuition and it is very difficult to obtain them. We proposed an adaptive algorithm which is automatically updated by consequence part parameter of control rules in order to reduce chattering phenomenon and simultaneously to satisfy the sliding mode condition. The proposed algorithm has the characteristics which are viewed in conventional VSC, e.g. insensitivity to a class of disturbance, parameter variations and uncertainties in the sliding mode. To demonstrate its performance, the proposed control algorithm is applied to an inverted pendulum system. The results show that both alleviation of chattering and performance are achieved.

Fuzzy-Sliding Mode Control for Chattering Reduction (채터링 감소를 위한 퍼지 슬라이딩모드 제어)

  • Lee, Tae-Kyoung;Han, Jong-Kil;Ham, Woon-Chul
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.5
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    • pp.393-398
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    • 2001
  • This paper presents a new method with time-varying boundary layer and input gain, variated by Fuzzy Logic Control(FLC) by means of the system state in Sliding Mode Control (SMC). In addition to the time-varying boundary layer, the time-varying range of the fuzzy membership function has an effect on not only chattering reduction but also fast response characteristics. On the basis of SMC with time-varying boundary and FLC with time-varying input and output range, a computer simulation for inverted pendulum results in elimination of the chattering phenomenon and fast response.

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Design and Evaluation of AFS and ARS Controllers with Sliding Mode Control and Fuzzy Logic Control Method (Sliding Mode Control 및 Fuzzy Logic Control 방법을 이용한 AFS 및 ARS 제어기 설계 및 성능 평가)

  • Song, Jeonghoon
    • Transactions of the Korean Society of Automotive Engineers
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    • v.21 no.2
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    • pp.72-80
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    • 2013
  • This study is to develop and evaluate an AFS and an ARS controllers to enhance lateral stability of a vehicle. A sliding mode control (SMC) and a fuzzy logic control (FLC) methods are applied to calculate the desired additional steering angle of AFS equipped vehicle or desired rear steer angle of ARS equipped vehicle. To validate AFS and ARS systems, an eight degree of freedom, nonlinear vehicle model and an ABS controllers are also used. Several road conditions are used to test the performances. The results showed that the yaw rate of the AFS and the ARS vehicle followed the reference yaw rate very well within the adhesion limit. However, the AFS improves the lateral stability near the limit compared with the ARS. Because the SMC and the FLC show similar vehicle responses, performance discrimination is small. On split-${\mu}$ road, the AFS and the ARS vehicle had enhanced the lateral stability.

Robust Vibration Control of Smart Structures via Discrete-Time Fuzzy-Sliding Modes (이산시간 퍼지-슬라이딩모드를 이용한 스마트구조물의 강건진동제어)

  • Choi, Seung-Bok;Kim, Myoung-Suk
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3560-3572
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    • 1996
  • This paper presents a new discrete-time fuzzy-sliding mode controller for robust vibration control of a smart structure featuring a piezofilm actuator. A governong equation of motion for the smart beam structure is derived and discrete-time codel with mismatched uncertainties such as parameter variations is constructed ina state space. A discrete-time sliding mode control system consisting of an equivalent controller and a discontinuous controller is formulated. In the design of the equivalent part, so called an equivalent controller separation method is adopted to achieve vzster convergence to a sliding surface without extension of a sliding region, in which the system robustness maynot be guaranteed. On the other hand, the discontinuous part is constructed on the basis of both the sliding and the convergence conditions using a time-varying feedback gain. The sliding moide controller is then incorporated with a fuzzy technique to appropriately determine principal control parameters such as a discountinuous feedback gain. Experimental implementation on the forced and random vibraiton controls is undertaken in order to demonstrate superior control performance of the proposed controller.

Error Reduction of Sliding Mode Control Using Sigmoid-Type Nonlinear Interpolation in the Boundary Layer

  • Kim, Yoo-K.;Jeon, Gi-J.
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1810-1815
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    • 2003
  • Sliding mode control with nonlinear interpolation in the boundary layer is proposed. A modified sigmoid function is used for nonlinear interpolation in the boundary layer and its parameter is tuned by a fuzzy logic controller. The fuzzy logic controller that takes the distance between the system state and the sliding surface as its input guides the choice of parameter of the modified sigmoid function and the parameter is on-line tuned. Owing to the decreased thickness, the proposed method has better tracking performance than the conventional linear interpolation method. To demonstrate its performance, the proposed control algorithm is applied to a simple nonlinear system model.

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Error Reduction of Sliding Mode Control Using Sigmoid-Type Nonlinear Interpolation in the Boundary Layer

  • Kim, Yoo-Kyung;Jeon, Gi-Joon
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.523-529
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    • 2004
  • Sliding mode control with nonlinear interpolation in the boundary layer is proposed. A modified sigmoid function is used for nonlinear interpolation in the boundary layer and its parameter is tuned by a fuzzy controller. The fuzzy controller that takes both the sliding variable and a measure of chattering as its inputs tunes the parameter of the modified sigmoid function. Owing to the decreased thickness of the boundary layer and the tuned parameter, the proposed method has superior tracking performance than the conventional linear interpolation method.

Self Learning Fuzzy Sliding Mode Controller for Nonlinear System

  • Seo, Sam-Jun;Kim, Dong-Sik
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.103.1-103
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    • 2002
  • In variable structure control algorithms, The control law used to realized the desired sliding mode dynamics is discontinuous on the switching manifold. However, due to imperfections in switching, such as time delays, the system trajectory chatters instead of sliding along the switching manifold. This chattering is undesirable because it may excite unmodeled high frequency dynamics in the physical system. In this paper, to overcome this drawback a self-organizing fuzzy sliding mode control algorithm using gradient descent method is proposed. The proposed method has the characteristics which are viewed in conventional VSC, e.g. insensitivity to a class of disturbance, parameter variations and uncertainties ill the sliding mode. To demonstrate its performance, the proposed control algorithm is applied to an inverted pendulum system. The results show that both alleviation of chattering and performance are achieved.

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