• Title/Summary/Keyword: time-varying sliding mode

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Robust Model-Following Controller for Uncertain Dynamical Systems by State-Space Representation (불확실한 동적 시스템의 상태공간 표현 강인 모델추종 제어기)

  • Park, Byung-Suk;Yoon, Ji-Sup;Kang, E-Sok
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.12
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    • pp.575-583
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    • 2001
  • It is hard to obtain good robust performance and robust stability for uncertain and time-varying system. The robust 2-DOF controller is frequently used to obtain the desired response and the good robustness. Two controllers can be independently designed. Generally, one controller reduces sensitivity to parameter variations, nonlinear effects, and other disturbances. On the other hand, the other controller reduces the error between the desired command and output. In this paper, the various robust perfect MFCs(model-following controllers) combined with TDC(Time Delay Control) are designed, and the imperfect stable MFC combined with TDC and SMC(Sliding Mode Control) is proposed. These controllers are based on the method of designing robust 2-DOF controllers for dynamic system with uncertainty. The performance of the proposed imperfect sable MFC has been evaluated through computer simulations. The simulation results indicate that the proposed controller shows the excellent performance characteristics for an overhead crane with uncertain and time-varying parameters.

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Combined Optimal Design of Flexible Beam with Sliding Mode Control System

  • Park, Jung-Hyen;Kim, Soon-Ho
    • Journal of Ocean Engineering and Technology
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    • v.17 no.4
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    • pp.59-65
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    • 2003
  • In order to achieve the desired lightweight and robust design of a structure, it is preferable to design a structure and its control system, simultaneously, which is termed the combined optimal design. A constant-cross-sectional area cantilever beam was chosen as the optimum design method, An initial load and a time-varying disturbance were applied at the free end of the beam. Sliding mode control was selected, due to its insensitivity to the disturbance, compared with other modes. It is known that the sliding mode control is robust to the disturbance and is uncertain, only if a matching condition is met, after giving a switching hyper plane. In this study, the optimum method was used for the design of the switching hyper plane, and the objective function of the optimum switching hyper plane was assumed to be the objective of the control system. The total weight of the structure was treated as a constraint, and the cross sectional areas of the beam were considered as design variables, the result being a nonlinear programming problem. To solve it, the sequential linear programming method was applied. As a result of the optimum design, the effect of attenuating vibrations has been substantially improved. Moreover, the lightweight design of the structure became possible as a result of the relationship of the weight of the structure to the control objective function.

Combined Optimal Design of Structure-Control Systems by Sliding Mode Control (슬라이딩모드 제어 기법을 이용한 구조-제어 시스템의 통합 최적 설계)

  • Park, Jung-Hyeon
    • Journal of the Korean Society for Precision Engineering
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    • v.19 no.10
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    • pp.45-51
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    • 2002
  • To achieve the lightweight and robust design of a structure, it is requested to design a structure and its control system simultaneously, which is called as the combined optimal design. A constant-cross-sectional area cantilever beam was chosen as an example for the applying the optimum design method. An initial load and a time varying disturbance were applied at the free end of the beam. Sliding mode control was selected due to its insensitiveness to the disturbance compared with other modes. It is known that the sliding mode control is robust to the disturbance and the uncertainty only if a matching condition is met, after giving a switching hyper plane. In this study, the optimum method was used for the design of the switching hyper plane and the objective function of the optimum switching hyper plane was assumed to be the objective one of the control system. The total weight of the structure was treated as a constraint and the cross sectional areas of the beam were considered as design variables, which means a nonlinear programming problem. The sequential linear programming method was applied to solve it. As a result of the optimum design, the effect of attenuating vibrations has been improved obviously. Moreover, lightweight design of the structure became possible from the relationship of the weight of the structure and the control objective function.

Design of Sliding Mode Controller Based on Adaptive Fault Diagnosis Observer for Nonlinear Continuous-Time Systems (비선형 연속 시간 시스템을 위한 적응 고장 진단 관측기 기반 슬라이딩 모드 제어기 설계)

  • Chang, Seung Jin;Choi, Yoon Ho;Park, Jin Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.9
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    • pp.822-826
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    • 2013
  • In this paper, we propose an AFDO (Adaptive Fault Diagnosis Observer) and a fault tolerant controller for a class of nonlinear continuous-time system under the nonlinear abrupt actuator faults. Together with its estimation laws, the AFDO which estimates that the actuator faults is designed by using the Lyapunov analysis. Then, based on the designed AFDO, an adaptive sliding mode controller is proposed as the fault tolerant controller. Using Lyapunov stability analysis, we also prove the uniform boundedness of the state, the output and the fault estimation errors, and the asymptotic stability of the tracking error under the nonlinear time-varying faults. Finally, we illustrate the effectiveness of the proposed diagnosis method and the control scheme thorough computer simulations.

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

  • 박창우;이장욱
    • Proceedings of the IEEK Conference
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    • 1998.10a
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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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Attitude Control of a Vehicle under the Disturbances by Sliding Mode Controller with Reaction Jets

  • Son, Sung-Han;Kim, Jinsu;Park, Kang-Bak;Teruo Tsuji;Tsuyoshi Hanamoto
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.166.6-166
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    • 2001
  • An attitude control of an air vehicle based on the variable structure control is proposed. For an air vehicle, minimum weight is required. Thus, it is desired to reduce the input energy. The optimal state portrait curve using time-varying sliding surface is proposed to reduce the control energy. Tracking performance of the closed loop system is guaranteed under the existence of parameter variation and external disturbances.

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Sensorless Indirect Field Oriented Control of Two-phase In­duction Motor by Sliding Mode Flux/Speed Observer

  • Kim Sam Young;Park Seong Su;Park Seung Yub
    • Proceedings of the IEEK Conference
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    • 2004.08c
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    • pp.622-627
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    • 2004
  • This paper investigated the speed sensorless indirect vector control of a two-phase induction motor to implement adjustable-speed drive for low-power applications. The sliding mode observer estimates rotor speed. The convergence of the nonlinear time-varying observer along with the asymptotic stability of the controller was analyzed. To define the control action which maintains the motion on the sliding manifold, an 'equivalent control' concept was used. It was simulated and implemented on a sensorless indirect vector drive for 150W two-phase induction motor. The simulation and experimental results demonstrated effectiveness of the estimation method.

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Sensorless Indirect Vector Control of Two-phase Induction Motor by Sliding Mode Flux/Speed Observer (슬라이딩 모드 자속/속도 관측기에 의한 2상 유도전동기의 센서리스 간접 벡터 제어)

  • Kim Sam-Young;Park Seong-Su;Park Seung-Yub
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.54 no.1
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    • pp.40-46
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    • 2005
  • This paper has investigated the speed sensorless indirect vectorcontrol of a two-phase induction motor to implement adjustable-speed drive for low-power applications. The sliding mode observer estimates rotor speed. The convergence of the nonlinear time-varying observer along with the asymptotic stability of the controller has been analyzed. To define the control action which maintains the motion on the sliding manifold, an "equivalent control" concept is used. It has been simulated and implemented on a sensorless indirect vector drive for 150W two-phase induction motor. The simulation and experimental results demonstrate effectiveness of the estimation method.

Robust maximum power point tracker using sliding mode controller for the single-stage grid-connected photovoltaic system (슬라이딩 모드 제어기를 사용한 계통연계형 태양광 발전시스템의 강인한 최대전력점 제어기 설계)

  • Kim, Il-Song;Park, Jin-Sik;Jung, Sin-Myung;Youn, Myung-Joong
    • Proceedings of the KIPE Conference
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    • 2005.07a
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    • pp.340-342
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    • 2005
  • A sliding mode controller for the grid-connected photovoltaic system has been presented. This controller is constructed from the time-varying sliding surface In order to control the sinusoidal inductor current and solar array power simultaneously. The proposed controller can achieve the tight regulation of current and power under the parameter variation environment.

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Nonlinear Sliding mode Control of Overhead Crane System (천정 크레인 시스템의 비선형 슬라이딩 모드 제어)

  • Kim, Do-Woo;Yoon, Ji-Sup;Park, Byung-Suk;Yang, Hai-Won;Kim, Hong-Phil
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.526-529
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    • 1998
  • In this paper, we proposed a nonlinear sliding mode controller to regulate the swinging angle of Overhead Crane System. Roughly speaking, the controller is designed to regulate an output(the swing angle) while providing internal stability. It is difficult to apply many of standard nonlinear control design techniques. In contrast to control that use a command generator and possibly a time-varying feedback, our control law is simple autonomous nonlinear controller. We analyze the stability of the closed-loop system using an $L_2$ Sliding surface conditions approach on a nonlinear feedback linearization of the system about the desired periodic orbit. One can easily extend this approach to analyze the robustness of the control system with respect to disturbances and parameter variations.

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