• Title/Summary/Keyword: 슬라이딩함수

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Nonlinear Control of an Automatic Transmission Using Sliding Mode (슬라이딩모드를 이용한 자동변속기의 비선형제어)

  • 조승호
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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    • pp.605-614
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    • 1995
  • In the automatic transmission using planetary gear there exists nonlinearities due to the finite difference between gear ratios, which yield torque hole during shift and influence on the ride quality and life of clutch. Based on the reaction carrier and converter turbine speed sliding functions are defined. Nonlinear closed-loop control laws are derived using them. Computer simulation shows that the closed loop design is better than the open loop design and semi-closed loop design.

Sliding Mode Speed Controller for the BLDC Motor having New Switching Surface (새로운 스위칭 평면을 갖는 슬라이딩 모드 속도 제어기)

  • 김세일;최중경;박승엽
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.3
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    • pp.689-696
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    • 2000
  • In this paper, an improved method is proposed to eliminate the chattering for Sliding Mode Controller. The differential-calculus of a switching function is converged to a particular constant or the proportional term so that the chattering in transient state is eliminated in the conventional method. However, by using the improved method, it is converged to its proportional-integral term so that the chattering is eliminated in transient state and steady state both. The computer simulation for brushless DC motor speed controller is used to compare the improved method with the conventional method and to verify the useful effect of the method in this paper.

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Adaptive Discrete Time Sliding-Mode Tracking Control of a Proportional Control Valve-Hydraulic System in the presence of friction (비선형 마찰특성을 고려한 비례제어밸브·유압실린더계의 적응 이산시간 슬라이딩모드 추적제어)

  • Yu, Hwan-Shin;Park, Hyung-Bae
    • Journal of Advanced Navigation Technology
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    • v.13 no.5
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    • pp.756-762
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    • 2009
  • As nonlinear friction, stick-slip friction in hydraulic actuators are a problem for accuracy and repeatability. Therefore friction compensation has been approached through various control algorithms. A Adaptive discrete time sliding mode tracking controller has been applied in order to compensate the nonlinear friction characteristics in a hydraulic Actuator. Based on the diophantine equation, a new discrete time sliding function is defined and utilized for the control law which includes a friction and modeling error. Robustness is increased by using both a projection algorithm and a sliding function-based nonlinear feedforward. From the results of simulation and experiment good tracking performance is achieved.

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ExperimPerformance Evaluation of Modified Sliding Mode Control Algorithm for Nonlinear Structures (비선형 구조물에 대한 수정 슬라이딩모드 제어알고리즘 성능 평가)

  • Lee, Sang-Hyun
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.2
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    • pp.147-155
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    • 2007
  • In this study, the performance of the modified sliding mode control proposed in the previous study is evaluated for seismic response control of nonlinear hysteretic structures. Modified sliding mode control(MSMC) utilizes the target derivative of Lyapunov function in order to calculate control force, and its performance was evaluated only lot linear structures in the previous study. However, considering that most structures subject to strong earthquake show nonlinear hysteretic behivior, the results from the previous study have limitations in practical application. The results from numerical analyses of single degree of freedom systems and base isolated system, which were described using Bouc-Wen model, indicate that the proposed MSMC algorithm shows better control performance than the existing sliding mode controller.

Tracking Control of Nonlinear System using the Variable Structure Control with Sliding Sector (슬라이딩 섹터를 갖은 가변구조제어를 이용한 비선형시스템의 추적제어)

  • Han, Jong-Kil;Son, Yong-Su
    • The Journal of the Korea institute of electronic communication sciences
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    • v.2 no.2
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    • pp.67-74
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    • 2007
  • Chattering phenomenon is still a large drawback of VSS. To overcome this problem, various approaches have been reported. A new notion of sliding sector has been proposed recently. Inside this sector, a kind of norm of the state decreases without control input. Therefore, so long as the state is constrained inside this sector, the norm of the state approaches to zero. The sliding sector theory is elementary study step and is studied about only linear systems. In this paper, new methods of the tracking control of unstable nonlinear systems using the sliding sector is proposed. This paper analyzes the stability, using Lyapunov function on the sliding sector. Through the computer simulations for an inverted pendulum system, it is verified that sliding sector control is capable to reduce the chattering.

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Nonlinear Control using the Variable Structure Control with Sliding Sector (슬라이딩 섹터를 갖은 가변구조제어를 이용한 비선형제어)

  • 한종길;손영수;배상현
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.8 no.4
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    • pp.807-814
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    • 2004
  • Chattering phenomenon is still a large drawback of VSS. To overcome this problem, various approaches have been reported. A new notion of sliding sector has been proposed recently. Inside this sector, a kind of norm of the state decreases without control input. Therefore, so long as the state is constrained inside this sector, the norm of the state approaches to zero. The sliding sector theory is elementary study step and is studied about only linear systems. In this paper, new methods of stabilizing unstable nonlinear systems using the sliding sector is proposed. This paper analyzes the stability, using Lyapunov function on the sliding sector. Through the computer simulations for an inverted pendulum system, it is verified that sliding sector control is capable to reduce the chattering.

Design of a Sliding Type Fuzzy Observer for Robot Motor Control (로봇모터 제어를 위한 슬라이딩형 퍼지관측기 설계)

  • Kim, Sang-Hoon;Kim, Jung-Hyun
    • Proceedings of the Korean Society of Computer Information Conference
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    • 2010.07a
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    • pp.59-62
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    • 2010
  • 로봇모터제어에 사용되는 서보전동기의 센서리스 운전에 대한 초기의 연구에서는 전동기의 전압과 전류를 측정하여 전동기 모델로부터 속도를 연산하는 방식을 취해왔으나, 근래에는 현대제어 이론 중 관측기 이론을 적용하여 속도 추정 및 센서리스 운전을 위한 다양한 연구가 시도되고 있다. 본 논문에서 설계한 슬라이딩형 퍼지 관측기의 속도추정 성능을 검증하기 위해 먼저 슬라이딩 관측기를 이용하여 전기자 전류의 도함수를 추정하고 속도관측기인 Luenberger 관측기의 이득을 퍼지 제어 기법을 이용하여 관측기 이득을 최적 값으로 선정하고 이것을 이용하여 직류 서보 전동기의 속도제어에 적용하였다.

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Fuzzy sliding mode controller design for improving the learning rate (퍼지 슬라이딩 모드의 속도 향상을 위한 제어기 설계)

  • Hwang, Eun-Ju;Cho, Young-Wan;Kim, Eun-Tai;Park, Mignon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.6
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    • pp.747-752
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    • 2006
  • In this paper, the adaptive fuzzy sliding mode controller with two systems is designed. The existing sliding mode controller used to $approximation{\^{u}}(t)$ with discrete sgn function and sat function for keeping the state trajectories on the sliding surface[1]. The proposed controller decrease the disturbance for uncertain control gain and This paper is concerned with an Adaptive Fuzzy Sliding Mode Control(AFSMC) that the fuzzy systems ate used to approximate the unknown functions of nonlinear system. In the adaptive fuzzy system, we adopt the adaptive law to approximate the dynamics of the nonlinear plant and to adjust the parameters of AFSMC. The stability of the suggested control system is proved via Lyapunov stability theorem, and convergence and robustness properties ate demonstrated. Futhermore, fuzzy tuning improve tracking abilities by changing some sliding conditions. In the traditional sliding mode control, ${\eta}$ is a positive constant. The increase of ${\eta}$ has led to a significant decrease in the rise time. However, this has resulted in higher overshoot. Therefore the proposed ${\eta}$ tuning AFSMC improve the performances, so that the controller can track the trajectories faster and more exactly than ordinary controller. The simulation results demonstrate that the performance is improved and the system also exhibits stability.

A New Robust Continuos VSCS by Saturation Function for Uncertain Nonlinear Plants (불확실 비선형 플랜트를 위한 포화 함수에 의한 새로운 강인한 연속 가변구조제어시스템)

  • Lee, Jung-Hoon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.48 no.3
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    • pp.30-39
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    • 2011
  • In this note, a systematic design of a new robust nonlinear continuous variable structure control system(VSCS) based on the modified state dependent nonlinear form is presented for the control of uncertain affine nonlinear systems with mismatched uncertainties and matched disturbance. After an affine uncertain nonlinear system is represented in the form of state dependent nonlinear system, a systematic design of a new robust nonlinear VSCS is presented. The uncertainty of the nonlinear system function is separated into the tow parts, i.e., state dependent term and state independent term for extension of target plants. To be linear in the closed loop resultant dynamics and in order to easily satisfy the existence condition of the sliding mode, the transformed linear sliding surface is applied. A corresponding control input is proposed to satisfy the closed loop exponential stability and the existence condition of the sliding mode on the linear transformed sliding surface, which will be investigated in Theorem 1. For practical application, the discontinuity of the control input as the inherent property of the VSS is improved dramatically. Through a design example and simulation studies, the usefulness of the proposed controller is verified.

Design of a Integral Sliding Mode Speed Controller having Chattering Alleviation Characteristics for the Sinusoidal type Brushless DC Motor (채터링 저감특성을 갖는 정현파형 브러시리스 직류전동기 (BLDC Motor)의 적분 슬라이딩 모드 속도제어기 설계)

  • Kim, Sei-Il;Choi, Jung-Keyng;Park, Seung-Yub
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.38 no.2
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    • pp.1-11
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    • 2001
  • In this paper, a chattering alleviation VSS controller for the sinusoidal type BLDC motor is designed. Dead Zone function is proposed to change the chattering occurring in the transient state from high frequency to low frequency and time varying gains arc applied for the control input to eliminate the steady state excessive chattering in the conventional ISM. The proposed Dead Zone function represents the sliding layer composed of two switching surfaces and if a state vector exists in this layer, the chattering don't occur. Simulation and experimental results confirm the useful effects of the above algorithm.

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