• Title/Summary/Keyword: Sliding plane

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Stereographic Analysis to Predict Rock Sliding Failure of Curved Slope (굴곡 사면의 암반 활동 파괴 예측을 위한 평사 투영 해석)

  • 윤운상;김정환
    • Proceedings of the Korean Geotechical Society Conference
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    • 2000.03b
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    • pp.457-464
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    • 2000
  • Stereographic method is a general and basic method to analyse sliding failure potential of rock slope. Region of failure analysis using stereographic method extend to curved slope from straight slope in this paper, Curved slope is defined as the multi-face slope with free surface more than two face and has different characteristics from straight single face slope. Individual daylight envelopes of free surfaces are combined into total daylight envelope of multi-face slope. So, sliding envelope of multi-face slope is the daylight envelope except friction cone. Specially, If only single joint set is developed in the slope, single plane sliding(or plane failure) is impossible in the single-face straight slope, but possible in the multi-face slope. In the multi-face slope with only one joint set, single plane sliding occurs when orientation of sliding plane is between two side slope orientation in the sliding envelope.

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Position Control of an Electro-hydraulic Servo System with Sliding Mode (전기유압 서보시스템의 슬라이딩 모드 위치제어)

  • Huh, Jun Young
    • Journal of Drive and Control
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    • v.18 no.3
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    • pp.16-22
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    • 2021
  • The variable structure controller has the characteristic that while in sliding mode, the system moves along the switching plane in the vicinity of the switching plane, so it is robust to the parameter fluctuations of the plant. However, a controller based on a variable structure may not meet the desired performance when it is commanded to track any input or exposed to disturbances. To solve this problem, a sliding mode controller based on the IVSC approach excluding an integrator is proposed in this study. The proposed sliding mode control was applied to the position control of a hydraulic cylinder piston. The sliding plane was determined by the pole placement and the control input was designed to ensure the existence of the sliding mode. The feasibility of the modeling and controller was reviewed by comparing it with a conventional proportional control through computer simulation using MATLAB software and experiment in the presence of significant plant parameter fluctuations and disturbances.

A Study on Shear Resistance Effect along Marginal Region of Sliding Mass using 3D Slope Stability Analysis (3차원 사면안정해석을 이용한 활동지괴 가장자리부의 전단저항에 관한 연구)

  • Seo Yong-Seok;Ohta Hidemasa;Chae Byung-Gon;Yoon Woon-Sang
    • The Journal of Engineering Geology
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    • v.14 no.4 s.41
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    • pp.451-460
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    • 2004
  • The strength of sliding plane is usually assigned on the whole sliding plane with same value in 2D limit equilibrium slope stability method. However, the potential sliding plane is divided into two or three parts which have different sliding resistances. According to the calculation results of 3D slope stability analyses using 4 types of slope cutting models, marginal sliding resistance could affect the safety of slope significantly. In this calculation two kinds of the sliding plane strengths were applied differently to the parts of bottom and margin of the model slope. The effect of marginal resistance was calculated quantitatively. In case of lower sliding resistance of the bottom, the safety factor becomes low in a margin cutting model. However, in case of higher sliding resistance of the bottom, the safety factor decreased slightly in a lower part cutting model and increased in a upper margin cutting model.

A study on the design of a path tracker and depth controller for autonomous underwater vehicles (무인 수중운동체의 경로추적기와 심도제어기 설계 연구)

  • Yang, Seung-Yun;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.1
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    • pp.45-55
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    • 1998
  • In this paper, a robust path tracker and depth controller of Autonomous Underwater Vehicle based on sliding mode control is presented. We have also designed augmented equivalent control inputs by analyzing the sliding mode with the reaching mode. This can enhance the reaching rate, and improve chattering problems, that is, noise caused by the control plane actuator of the vehicle, which is one of the problems that occur when sliding mode control is used. Also to resolve the steady state error generated in the path tracker under current effect, a modified sliding plane is constructed. Also a redesigned sliding plane and control input using transformation matrix is proposed to do easy design of MIMO depth controller. For state variables that cannot be measured directly, reduced order sliding mode control is used to design an observer. The performance of designed path tracker and depth controller is investigated by computer simulation. The results show that the proposed control system has robust performance to parameter variation, modelling error and disturbance.

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A Study on Time-Varying Sliding Regime of VSC System (가변구조제어계의 시변 슬라이딩 레짐에 관한 연구)

  • Kim, Joong-Wan;Lee, Man-Hyung
    • Journal of the Korean Society for Precision Engineering
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    • v.6 no.2
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    • pp.30-39
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    • 1989
  • Variable structure control (VSC) systems control the state vectors using sliding regime (SR) constructed switching logic, switching plane and control law. Saturation function switching logic is used to improve the drawback which occurs in traditional sign function switching logic. Switching plane with time-varying parameter is proposed to improve the drawback which occurs in switching plane with constant parameter and it is suggested the control law which has time-varying parameter. The stability of VSC system controlled by proposed time-varying SR is discussed, and the good control behavior was shown through computer simulation using proposed SR.

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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.

Velocity Control of an Electro-hydraulic Servo System with Integral Variable Structure Controller (적분 가변구조제어기를 갖는 전기유압 서보시스템의 속도제어)

  • Huh, J.Y.
    • Journal of Drive and Control
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    • v.18 no.4
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    • pp.52-58
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    • 2021
  • The variable structure controller is designed such that in sliding mode, the system moves along the switching plane in the vicinity of the switching plane, thus it is robust because it is not affected by the parameter fluctuations of the plant. However, a controller based on a variable structure may not meet the desired performance when it is commanded to track any input or is exposed to disturbances. This study proposes a sliding mode controller that follows the IVSC (Integral Variable Structure Control) approach with ELO (Extended Luenberger observer) to solve this problem. The proposed sliding mode control is applied to the velocity control of the hydraulic motor. The sliding plane was determined by the pole placement, and the control input was designed to ensure the existence of the sliding mode. The feasibility of modeling and controller are reviewed by comparing with conventional proportional-integral control through computer simulation using MATLAB software and experimenting on the cases of significant plant parameter fluctuations and disturbances.

Fuzzy sliding-mode control of a human arm in the sagittal plane with optimal trajectory

  • Ardakani, Fateme Fotouhi;Vatankhah, Ramin;Sharifi, Mojtaba
    • ETRI Journal
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    • v.40 no.5
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    • pp.653-663
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    • 2018
  • Patients with spinal cord injuries cannot move their limbs using their intact muscles. A suitable controller can be used to move their arms by employing the functional electrical stimulation method. In this article, a fuzzy exponential sliding-mode controller is designed to move a musculoskeletal human arm model to track an optimal trajectory in the sagittal plane. This optimal arm trajectory is obtained by developing a policy for the central nervous system. In order to specify the optimal trajectory between two points, two dynamic and static optimal criteria are applied simultaneously. The first dynamic objective function is defined to minimize the joint torques, and the second static optimization is offered to minimize the muscle forces at each moment. In addition, fuzzy logic is used to tune the sliding-surface parameter to enable an appropriate tracking performance. Simulation results are evaluated and compared with experimental data for upward and downward movements of the human arm.

Linear/Nonlinear Sliding Patch and Stuck Phenomena and Applications of Linear/Nonlinear Sliding Patch and Stuck (선형/비선형 슬라이딩 패치 및 스턱현상과 그 응용)

  • Kim, Jin-Wan;Ham, Woon-Chul
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.7
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    • pp.523-528
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    • 2000
  • In this short note the characteristics of a nonlinear system of which the state trajectories are oscillating in the phase plane are overviewed. The physical concept of stuck and sliding patch phenomena are also introduced by adding some switching functions and their stability on the sliding patches are analyzed by using the Lyapunov stability theory and Frobenius theorem.

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