• Title/Summary/Keyword: finite-time SMC

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Robust Control for Unknown Disturbance of Robotic System Using Prescribed Tracking Error Constraint Control and Finite-Time SMC (규정된 추종오차 구속제어와 유한시간 슬라이딩 모드 제어를 이용한 로봇시스템의 미지의 외란에 대한 강인제어)

  • Ryu, Hyun-Jea;Shin, Dong-Suk;Han, Seong-Ik
    • Journal of Institute of Control, Robotics and Systems
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    • v.22 no.5
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    • pp.320-325
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    • 2016
  • This paper presents a robust finite-time sliding mode control (SMC) scheme for unknown disturbance and unmodeled nonlinear friction and dynamics in the robotic manipulator. A finite-time SMC (FSMC) surface and finite-time sliding mode controller are constructed to obtain faster error convergence than the conventional infinite-time based SMC. By adding prescribed constraint control term to a finite-time SMC to compensate for unknown disturbance and uncertainties, a robust control scheme can be designed as well as faster convergence control. In addition, simpler controller structure is built by using feed-forwarding upper bound coefficients of each manipulator dynamic parameters instead of model-based control or adaptive observer to estimate unknown manipulator parameters. Simulation and experimental evaluations highlight the efficacy of the proposed control scheme for an articulated robotic manipulator.

A Nonlinear Sliding Mode Controller for IPMSM Drives with an Adaptive Gain Tuning Rule

  • Jung, Jin-Woo;Dang, Dong Quang;Vu, Nga Thi-Thuy;Justo, Jackson John;Do, Ton Duc;Choi, Han Ho;Kim, Tae Heoung
    • Journal of Power Electronics
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    • v.15 no.3
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    • pp.753-762
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    • 2015
  • This paper presents a nonlinear sliding mode control (SMC) scheme with a variable damping ratio for interior permanent magnet synchronous motors (IPMSMs). First, a nonlinear sliding surface whose parameters change continuously with time is designed. Actually, the proposed SMC has the ability to reduce the settling time without an overshoot by giving a low damping ratio at the initial time and a high damping ratio as the output reaches the desired setpoint. At the same time, it enables a fast convergence in finite time and eliminates the singularity problem with the upper bound of an uncertain term, which cannot be measured in practice, by using a simple adaptation law. To improve the efficiency of a system in the constant torque region, the control system incorporates the maximum torque per ampere (MTPA) algorithm. The stability of the nonlinear sliding surface is guaranteed by Lyapunov stability theory. Moreover, a simple sliding mode observer is used to estimate the load torque and system uncertainties. The effectiveness of the proposed nonlinear SMC scheme is verified using comparative experimental results of the linear SMC scheme when the speed reference and load torque change under system uncertainties. From these experimental results, the proposed nonlinear SMC method reveals a faster transient response, smaller steady-state speed error, and less sensitivity to system uncertainties than the linear SMC method.

Acquisition of Parameters for Impact Damage Analysis of Sheet Molding Compound Based on Artificial Neural Network (인공신경망 기반 SMC 복합재료의 충돌 손상 해석을 위한 파라메터 획득)

  • Lee, Sang-Cheol;Kim, Jeong
    • Composites Research
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    • v.34 no.2
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    • pp.115-122
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    • 2021
  • SMC(Sheet molding compound) composite is mainly used for forming of vehicle's body. Considering the car accident, it is essential to research the impact behavior and characteristics of materials. It is difficult to identify them because the impact process is completed in a short time. Therefore, the impact damage analysis using FE(finite element) model is required for the impact behavior. The impact damage analysis requires the parameters for the damage model of SMC composite. In this paper, ANN(artificial neural network) technique is applied to obtain the parameters for the damage model of SMC composite. The surrogate model by ANN was constructed with the result in LS-DYNA. By comparing the absorption energy in drop weight test with the result of ANN model, the optimized parameters were obtained. The acquired parameters were validated by comparing the results of the experiment, the FE model and the ANN model.

Design of Elliptical Sliding Surface Guaranteeing Finite Time Convergence (유한 시간 수렴을 보장하는 타원형 슬라이딩 모드 제어기의 설계)

  • Jo, Young-Hun;Lee, Yong-Hwa;Park, Kang-Bak
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.4
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    • pp.295-298
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    • 2011
  • Almost all of control methods proposed so far have been designed such that the overall system guarantees asymptotic stability. It implies that the output converges to zero but not reaches to zero in a finite time. In many actual cases, however, it is preferable to design the controller such that the output gets to zero in a finite time. In this paper, we proposed a novel elliptical sliding surface. To show the effectiveness of the proposed method, experimental results are given.

Finite-Time Sliding Mode Controller Design for Formation Control of Multi-Agent Mobile Robots (다중 에이전트 모바일 로봇 대형제어를 위한 유한시간 슬라이딩 모드 제어기 설계)

  • Park, Dong-Ju;Moon, Jeong-Whan;Han, Seong-Ik
    • The Journal of Korea Robotics Society
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    • v.12 no.3
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    • pp.339-349
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    • 2017
  • In this paper, we present a finite-time sliding mode control (FSMC) with an integral finite-time sliding surface for applying the concept of graph theory to a distributed wheeled mobile robot (WMR) system. The kinematic and dynamic property of the WMR system are considered simultaneously to design a finite-time sliding mode controller. Next, consensus and formation control laws for distributed WMR systems are derived by using the graph theory. The kinematic and dynamic controllers are applied simultaneously to compensate the dynamic effect of the WMR system. Compared to the conventional sliding mode control (SMC), fast convergence is assured and the finite-time performance index is derived using extended Lyapunov function with adaptive law to describe the uncertainty. Numerical simulation results of formation control for WMR systems shows the efficacy of the proposed controller.

Terminal sliding mode control of robot manipulators for PTP task

  • Park, Kang-Bark;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.267-270
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    • 1995
  • In this paper, a variable structure control scheme with a terminal sliding mode is proposed for robot manipulators. The proposed control scheme guarantees that the output tracking error converges to zero in finite time, and the overall system shows robust property against parametric uncertainties and external disturbances all the time.

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Velocity Control of Permanent Magnet Synchronous Motors using Model Predictive and Sliding Mode Cascade Controller (슬라이딩 모드 및 모델 예측 직렬형 제어기를 이용한 영구자석형 동기전동기의 속도제어)

  • Lee, Ilro;Lee, Youngwoo;Shin, Donghoon;Chung, Chung Choo
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.9
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    • pp.801-806
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    • 2015
  • In this paper, we propose cascade-form velocity controller for a permanent magnet synchronous motor (PMSM). The proposed controller consists of a sliding-mode controller (SMC) for the inner current control loop and a model-predictive controller (MPC) for the outer velocity control loop. With SMC, we can ensure that the current tracking error always converges to zero in finite time. The SMC is designed to track the desired currents. Additionally, with MPC, we can obtain the optimal velocity control input which minimizes the cost function. Constraint conditions for input and input variation are included in the MPC design. The simulation results are included to validate the performance of the proposed controller.

Numerical Study on The Injection-Compression Molding Characteristic of High Viscosity Plastic Fluids (고점도 유동장이 사출-압축 성형에 미치는 영향)

  • Park, Gyun-Myoung;Kim, Chung-Kyun
    • Tribology and Lubricants
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    • v.18 no.5
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    • pp.345-350
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    • 2002
  • Recently, as the development of manufacturing technique on SMC(sheet molding compound), various numerical and experimental approaches to injection and compression molding have been investigated. Injection and compression molding, however, has so various cases with complicated boundary condition that it is difficult to analyze mold characteristics precisely. In addition, since a slight change in process variables can significantly change the resulting mold thickness, a proper design is important to compression molding process. Therefore, in this study, the effects of various parameters on compression molding process have been investigated using FEM(finite element method) to formulate the melt front advancement during the mold filling process. To verify the results of present analysis, they are compared with those of reference. The results show a strong effect of initial charge volume, injection time and pressure as a result of variations in the rectangular charge shape.

Design of Extended Terminal Sliding Mode Control Systems (확장된 터미널 슬라이딩 모드 제어기의 설계)

  • Jo, Young-Hun;Lee, Yong-Hwa;Park, Kang-Bak
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.3
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    • pp.236-240
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    • 2011
  • The terminal sliding mode control schemes have been studied a lot since they can guarantee that the state error gets to zero in a finite time. However, the conventional terminal sliding surfaces have been designed using power function whose exponent is a rational number between 0 and 1, and whose numerator and denominator should be odd integers. It is clearly restrictive. Thus, in this paper, we propose a novel terminal sliding surface using power function whose exponent can be a real number between 0 and 1.

Calculation of Jominy Hardenability Curve of Low Alloy Steels from TTT/CCT data (TTT/CCT 데이터를 이용한 저합금강의 죠미니 경화능 곡선 계산)

  • Jung, Minsu;Son, YoonHo
    • Journal of the Korean Society for Heat Treatment
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    • v.32 no.1
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    • pp.17-28
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    • 2019
  • Jominy hardenability curves of low alloy steel containing less than 5 wt.% of alloying elements in total were calculated by applying Scheil's rule of additivity to pre-calculated isothermal transformation curve. Isothermal transformation curve for each phase in steel was approximated as a simple mathematical equation by using Kirkaldy's approach and all coefficients in the equation were estimated from experimental temperature-time-transformation (TTT) and/or continuous cooling transformation (CCT) data in the literature. Then jominy test with simple boundary conditions was performed in computer by applying the finite difference scheme. The resultant cooling curves at each location along a longitudinal direction of Jominy bar were applied to calculate phase fractions as well as mechanical properties such as micro Vickers hardness. The simulated results were compared with experimental CCT data and Jominy curves in the literature.