• Title/Summary/Keyword: the sliding mode

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Design of Sliding Mode Controller for Nonlinear System (비선형 계통에 대한 슬라이딩 모드 제어기의 설계)

  • Kim Min-Chan;Lee Jae-Dong;Park Seung-Kyu;Kwak Gun-Pyong;Ahn Ho-Kyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.2
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    • pp.69-75
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    • 2005
  • In this paper, the feedback linearization technique is used with the sliding mode control for nonlinear systems. This combination of the two control techniques is achieved by introducing a novel sliding surface which has the nominal dynamics of the original system controlled by feedback linearization technique. Its design is based on the augmented system whose dynamics have a higher order than that of the original system. The reaching phase is removed by using an initial virtual state which makes the initial sliding function equal to zero.

Noble Discrete Sliding Mode Control for Discrete Nonlinear System (비선형 계통에 대한 새로운 이산치 슬라이딩 모드제어)

  • Park, Seung-Kyu;Lee, Jae-Dong;Kwak, Gun-Pyung
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.912-914
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    • 1999
  • In this paper, the feedback linearization technique is used with the sliding mode control for discrete nonlinear systems. This combination of the two control techniques is achieved by Proposing a novel sliding surface which has the nominal dynamics of the original system controlled by feedback linearization technique. Its design is based on the augmented system whose dynamics have a higher order than that of the original system. The reaching Phase is removed by using an initial virtual state which makes the initial sliding function equal to zero.

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A New Robust Output Feedback Variable Structure Controller for Uncertain More Affine Nonlinear Systems with Mismatched Uncertainties and Matched Disturbance

  • Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.18 no.2
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    • pp.206-213
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    • 2014
  • In this note, a new robust nonlinear output feedback variable structure controller is first systematically and generally designed for the output control of more affine uncertain nonlinear systems with mismatched uncertainties and matched disturbance. A transformed integral output feedback sliding surface with a most simple form is applied in order to remove the reaching phase problems. The closed loop exponential stability and the existence condition of the sliding mode on the integral output feedback sliding surface is investigated with a corresponding output feedback control input in Theorem 1. For practical application the continuous implementation of the control input is made by the modified saturation function. The effectiveness of the proposed controller is verified through a design example and simulation study.

The Design of Sliding Mode Controller with Nonlinear Sliding Surfaces (비선형 스위칭 평면을 이용한 슬라이딩모드 제어기 설계)

  • Cho, Hyun-Seob
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.10 no.12
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    • pp.3622-3625
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    • 2009
  • This study develops 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. By appling TS algorithm to the regulation of the rionlinear 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. The effectiveness of the proposed control scheme is verified by simulation results.

A Study on the $H_{\infty}$ Controller of the Novel Sliding Mode - State Space Approach (새로운 슬라이딩 모드를 이용한 $H_{\infty}$ 제어기의 설계 - 상태공간 접근방법)

  • Kim, Min-Chan;Park, Seung-Kyu;Kwak, Gun-Pyong
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.915-917
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    • 1999
  • In this paper, a novel sliding surface is proposed by introducing a virtual state. This sliding surface has nominal dynamics of an original system and makes it possible that the Sliding Mode Control(SMC) technique is combined with the $H_{\infty}$ controller. Its design is based on the augument system whose dynamics have one higher order than that of the original system. The reaching phase is removed by setting an initial virtual state which makes the initial switching function equal to zero.

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Variable Structure Control Design for Time-Delay Systems (시간 지연 시스템을 위한 가변 구조 제어기 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.12
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    • pp.1208-1211
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    • 2010
  • We propose a variable structure control design method for a class of multivariable uncertain state-delayed systems which can be represented by polytopic models. In terms of LMIs, we derive a sufficient condition for the existence of a linear sliding surface guaranteeing the asymptotic stability of the sliding mode dynamics. We parameterize the sliding surface by using the solution of the LMI existence condition. We also give a switching feedback control strategy guaranteeing stable sliding mode. By using a numerical example, we show that our method supplements the existing results and it can be better than the existing results.

Robust Controller Design with Novel Sliding Mode Surface-Linear Optimal Control Case (새로운 스위칭 평면을 이용한 강인한 최적 제어기의 설계)

  • Park, Seung-Kyu;Ahn, Ho-Kyun;Kim, Tae-Won
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.446-448
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    • 1998
  • In this paper, a novel sliding surface is proposed by introducing a virtual state. This sliding surface has nominal dynamics of an original system and makes it possible that the Sliding Mode Control(SMC) technique is used with the various types of controllers. Its design is based on the augmented system whose dynamics have one higher order than that of the original system. The reaching phase is removed by using an initial virtual state which makes the initial switching function equal to zero.

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A Study on the Position Control of BLDC Motor with New Sliding Surface. (새로운 슬라이딩면을 가지는 BLDC 모터의 위치제어에 관한 연구)

  • Lee, Dae-Sik;Park, Soo-Sik
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.80-82
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    • 1997
  • A robust position control system for a BLDC motor using new sliding mode control strategy is presented. Using the new variable structure system, reaching phase problem is eliminated and transient response is largely improved by design of nonlinear sliding surface. The design of the sliding mode position controller is robust in motor parameter, load variations and disturbance. Experiment results show that the proposed approach can achieve accurate position motor tracking in face of large parameter variations and external disturbances, such as a robot arm, etc.

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A New Improved Continuous Variable Structure Tracking Controller For BLDD Servo Motors (브러쉬없는 직접구동 전동기를 위한 새로운 개선된 연속 가변구조 추적제어기)

  • Lee, Jung-Hoon
    • Journal of IKEEE
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    • v.9 no.1 s.16
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    • pp.47-56
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    • 2005
  • A new improved robust variable structure tracking controller is presented to provide an accurately prescribed tracking performance for brushless direct drive(BLDD) servo motors(SM) under uncertainties and load variations. A special integral sliding surface suggested for removing the reaching phase problems can define its ideal sliding mode and virtual ideal sliding trajectory from an initial position of SM. The tracking error caused by the nonzero value of the sliding surface is derived. A corresponding continuous control input with the disturbance observer is suggested to track a predetermined virtual ideal sliding trajectory within a prescribed value under all the uncertainties and load variations. The usefulness of the proposed algorithm is demonstrated through the comparative simulations for a BLDD SM under load variations.

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Sliding Mode Fuzzy Control for Wind Vibration Control of Tall Building (Sliding Mode Fuzzy Control을 사용한 바람에 의한 대형 구조물의 진동제어)

  • 김상범;윤정방
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.10a
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    • pp.79-83
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    • 2000
  • A sliding mode fuzzy control (SMFC) with disturbance estimator is applied to design a controller for the third generation benchmark problem on an wind-excited building. A distinctive feature in vibration control of large civil infrastructure is the existence of large disturbances, such as wind, earthquake, and sea wave forces. Those disturbances govern the behavior of the structure, however, they cannot be precisely measured, especially for the case of wind-induced vibration control. Since the structural accelerations are measured only at a limited number of locations without the measurement of the wind forces, the structure of the conventional control may have the feed-back loop only. General structure of the SMFC is composed of a compensation part and a convergent part. The compensation part prevents the system diverge, and the convergent part makes the system converge to the sliding surface. The compensation part uses not only the structural response measurement but also the disturbance measurement, so the SMFC has a feed-back loop and a feed-forward loop. To realize the virtual feed-forward loop for the wind-induced vibration control, disturbance estimation filter is introduced. the structure of the filter is constructed based on an auto regressive model for the stochastic wind force. This filter estimates the wind force at each time instance based on the measured structural responses and the stochastic information of the wind force. For the verification of the proposed algorithm, a numerical simulation is carried out on the benchmark problem of a wind-excited building. The results indicate that the present control algorithm is very efficient for reducing the wind-induced vibration and that the performance indices improve as the filter for wind force estimation is employed.

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