• Title/Summary/Keyword: the sliding mode

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Robust Adaptive Sliding Mode Controller for PMSM Servo Drives System (강인 적응성 슬라이딩을 이용한 PMSM 서보드라이브 시스템 제어기)

  • Park, Ki-Kwang;Han, Byung-Jo;Kim, Hong-Pil;Yang, Hai-Won
    • Proceedings of the KIEE Conference
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    • 2009.07a
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    • pp.1640_1641
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    • 2009
  • Dynamic friction and force ripple are the most predominant factors that affect the positioning accuracy of permanent magnet synchronous motor(PMSM) servo drives system, and it is desirable to compensate them in finite time with a continuous control law. In this paper, based on LuGre dynamic friction model, a robust adaptive skidding mode controller is proposed to compensate the nonlinear effect of friction and force ripple. The controller scheme consists of a PD component and a robust adaptive sliding mode controller for estimating the unknown system parameter. Using Lyapunov stability theorem, asymptotic stability analysis and position tracking performance are guaranteed. Simulation results well verify the feasibility and the effectiveness of the proposed scheme for high0precision motion trajectory tracking.

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A Study on a Sliding Mode Control Algorithm for Dynamic Positioning System of a Vessel (선박의 동적위치유지 시스템을 위한 Sliding Mode 제어 연구)

  • Young-Shik Kim;Jang-Pyo Hong
    • Journal of Navigation and Port Research
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    • v.47 no.4
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    • pp.256-270
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    • 2023
  • In this study, a sliding mode (SM) controller for dynamic positioning (DP) was specifically designed for a turret connection operation of a ship or an offshore structure in which an arbitrary point on the structure could be controlled as the motion center instead of the center of mass. The SM controller allows control of the arbitrary point and provides capability to manage uncertainties in the dynamics of ships and offshore structures, external forces caused by unknown changing marine environments, and transient performance of DP systems. The Jacobian matrix included in kinematic equations of the controlled object was modified to design the SM controller to control based on an arbitrary point of ships or offshore structures. To ensure robustness of the controller, the Lyapunov stability theory was applied in the design of the SM controller. In general, for robustness in DP control, gain scheduling based on a proportional-derivative (PD) control algorithm is employed. However, finding appropriate gains for gain scheduling complicates the application of DP systems. Therefore, in this study, the SM control algorithm was considered to mitigate the complexity of the DP controller for ships and offshore structures. To validate the proposed SM control algorithm, time-domain simulations were conducted and utilized to evaluate the performance of the control algorithm. The effectiveness of the proposed SM controller was assessed by comparing simulation results with results of a conventional PD control algorithm applied in DP control.

Design of Siding Mode Controller with Peturbation Estimation (외란 관측기를 가지는 슬라이딩모드 제어기 설계)

  • Kim, Nak-In;Lee, Jong-Won
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.24 no.4 s.175
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    • pp.866-873
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    • 2000
  • Sliding mode control(SMC) incorporated with perturbation compensation is developed here to reduce the low-frequency tracking error in the presence of wide-band frequency perturbations for a nonlinear dynamic system. The control scheme is designed for estimation of low frequency perturbations with employment of the Time Delay Control and low-pass filter. It is shown that the SMC with perturbation compensation is far superior to the conventional SMC in tracking control of the dynamic systems under model uncertainties and external disturbance conditions.

Design Of Adaptive Sliding Mode Control For Aircraft Anti-Braking System (항공기 Anti-Braking System을 위한 적응 슬라이딩 모드 제어기 설계)

  • Choi, Hyung-Sup;Lee, Won-Ju;Park, Mig-Non;Kim, Eun-Tai
    • Proceedings of the IEEK Conference
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    • 2008.06a
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    • pp.1083-1084
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    • 2008
  • This paper proposes the design of anti-braking system on aircraft and wheel slip ratio control using adaptive slide mode control. By maintaining the desired wheel slip ratio under runway conditions, we can obtain the maximal frictional force and reduce the braking range. In this paper, we apply an adaptive sliding mode control to aircraft brake system and it can guarantee the robustness under variations in brake characteristics. The performance of proposed controller is verified in simulations.

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The seismic reliability of two connected SMRF structures

  • Aval, Seyed Bahram Beheshti;Farrokhi, Amir;Fallah, Ahmad;Tsouvalas, Apostolos
    • Earthquakes and Structures
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    • v.13 no.2
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    • pp.151-164
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    • 2017
  • This article aims to investigate the possible retrofitting of a deficient building with soft story failure mode by connecting it to an adjacent building which is designed based on current code with friction dampers at all floors. Low cost and high performance reliability along with significant energy dissipation pertaining to stable hysteretic loops may be considered in order to choose the proper damper for connecting adjacent buildings. After connecting two neighbouring floors by friction dampers, the sliding forces of dampers at various stories are set in two arrangements: uniform sliding force and then variable sliding force. In order to account for the stochastic nature of the seismic events, incremental dynamic analyses are employed prior and after the installation of the friction dampers at the various floors. Based on these results, fragility curves and mean annual rate of exceedance of serviceability and ultimate limit states are obtained. The results of this study show that the collapse mode of the deficient building can affect the optimum arrangement of sliding forces of friction dampers at Collapse Prevention (CP) performance level. In particular, the Immediate Occupancy (IO) performance level is not tangible to the sliding force arrangement and it depends solely on sliding force value. Generally it can be claimed that this rehabilitation scheme can turn the challenge of pounding two adjacent buildings into the opportunity of dissipating a large amount of the seismic input energy by the friction dampers, thus improving significantly the poor seismic performance of the deficient structure.

Design of a Variable Structure Controller Using Nonlinear Fuzzy Sliding Surfaces (비선형 퍼지 슬라이딩면을 이용한 가변구조 제어기의 설계)

  • 이희진;손홍엽;김은태;조영환;박민용
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1997.10a
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    • pp.449-452
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    • 1997
  • In this paper, we suggest 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. As appling TS fuzzy algorithm to the regulation of the nonlinear 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. To demonstrate its performance, the proposed control algorithm is applied to a rotational inverted pendulum.

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An LMI-Based Sliding Surface Design Method for Linear Systems with Mismatched Uncertainties (비정합 불확실성을 갖는 선형 시스템을 위한 LMI 기반 슬라이딩 평면 설계법)

  • Choi, Han-Ho
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.9
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    • pp.409-413
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    • 2006
  • In this paper, we propose a new sliding surface design method for a class of uncertain systems with mismatched unstructured uncertainties. The uncertain system under consideration may have mismatched parameter uncertainties in the state matrix as well as in the input matrix. In terms of linear matrix inequalities (LMIs), we give a sufficient condition for the existence of linear sliding surfaces guaranteeing the asymptotic stability of the sliding mode dynamics. And, we give an LMI parameterization of such linear sliding surfaces together with switched feedback control laws. Our LMI condition can be less conservative than the existing conditions and our result supplement the existing results. Finally, we give a numerical example showing that our method can be better than the previous results.

Sliding Conditions at the Interface between Soil and Underground Structure (지반과 지하구조물 경계의 미끄러짐 조건에 관한 연구)

  • 김대상
    • Journal of the Earthquake Engineering Society of Korea
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    • v.6 no.1
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    • pp.7-11
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    • 2002
  • By focusing on the resonant vibration mode of soil-underground structure system, this paper obtained dynamic soil stiffness and easy sliding conditions at the interface between soil and underground structure. Multi-step method is employed to isolate two primary causes of soil-structure interaction. Mohr-Coulomb criterion is used to determine the threshold level of the sliding. To find out the conditions the interface slides easily, parametric studies are performed about the factors governing sliding, which are the size and location of underground structures, ground condition, the configuration of surface deposit and interface friction coefficients.

Time-varying sliding surface design using eigenvalue locus for high-order variable structure control systems (고차 가변구조 제어 시스템에서의 고유치 궤적을 이용한 시변 스위칭 평면 설계)

  • 이영성;김가규;최봉열
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.253-256
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    • 1996
  • In this paper, A new time-varying sliding surface design using eigenvalue locus is proposed to achieve fast and robust in a class of high-order uncertain dynamic system. A moving sliding surface(MSS) was proposed earlier for the second-order variable structure control systems(VSCS). This methodology led to fast and robust control responses of the second-order VSCS. However, the moving algorithm of the MSS was too complicated to be employed the high-order VSCS. To resolve this problem, we propose a new moving algorithm that switching surface moves such that the eigenvalues of equivalent system in the sliding mode have a predetermined locus. Using the proposed surface fast and robust behaviors are accomplished. The problem of chattering can be eliminated by using a boundary layer of switching surface. The efficiency of proposed algorithm is illustrated by an application to four-order workbench.

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A Study on Robustness Improvement of $H_{\infty}$ Control Using SVM (SVM을 이용한 $H_{\infty}$ 제어의 강인성 향상에 관한 연구)

  • Kim, Min-Chan;Yoon, Seong-Sik;Park, Seung-Kyu;Ahn, Ho-Gyun;Kwak, Gun-Pyong;Yoon, Tae-Sung
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.12 no.2
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    • pp.276-281
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    • 2008
  • This paper proposes a new sliding surface which can have the same dynamics of nominal system based on SVM(Support Vector Machines). The conventional sliding mode control can not have the properties of $H_{\infty}$ controller because its sliding surface has lower order dynamics than the original system. The additional states must be used to solve this problem. However, The sliding surface of this paper can have the dynamics of $H_{\infty}$ control system by using support vector machines without defining any additional dynamic state. By using SVM, the property of $H_{\infty}$ control system can be estimated as a relationship between the states. With this relationship, a new sliding surface can be designed and have $H_{\infty}$ control system properties. As a result, in spite of the parameter uncertainty, the proposed controller can have the same dynamic of nominal system controlled by $H_{\infty}$ controller.