• Title/Summary/Keyword: linearization

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Statistical Analysis of Random Ship Rolling Using Equivalent Linearization Method (등가선형화방법을 이용한 선체의 불규칙 횡동요 운동의 통계적 해석)

  • Dong-Soo Kim;Won-Kyoung Lee
    • Journal of the Society of Naval Architects of Korea
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    • v.30 no.4
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    • pp.39-45
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    • 1993
  • In order to analyze the rolling motion of a ship in random beam waves we have used the equivalent linearization method. The quadratic nonlinear damping, the cubic and quintic nonlinear restoring moments were added to a single degree of freedom linear equation of roll motion. The irregular excitation moment was assumed to be the Gaussian white noise. The statistical characteristic of the response by the equivalent linearization method was compared with the simulation result.

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Position Control of a 1/4 Car Suspension Simulator using a Feedback Linearization Controller (피드백 선형화 제어기를 사용한 1/4 차량 현가장치 시뮬레이터의 위치 제어)

  • Kim, T.H.;Lee, I.Y.
    • Journal of Drive and Control
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    • v.9 no.3
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    • pp.8-15
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    • 2012
  • In the study, a control strategy using a feedback linearization compensator and a disturbance observer was suggested and applied to a hydraulic control system for a vehicle suspension simulator. Although the hydraulic system has comparatively big external loads composed by constant and varying loads, it is ascertained that excellent control performances are obtained with the suggested control strategy.

Controller Synthesis of A Nonlinear System Using Input/Output Linearization and Compensation for Input Time-Delay (비선형 시스템의 입/출력 선형화 제어기 설계와 입력 시간-지연 보상)

  • Cho, Yong-Ho;Chong, Kil-To
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.768-773
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    • 2004
  • This work deals with the synthesis of discrete-time nonlinear controller for input time-delay existing nonlinear system and proposes a new effective method to compensate the influence of input time-delay. The controller is synthesised by using input/output linearization. Under the circumstance that input time-delay exist, controller have to produce future value that will be needed for system. On account of this reason described, a weighted average predictor of combined states is adopted. Using the discretization via Euler method, numerical simulations about Van der Pol system are performed to evaluate performance of the proposed method.

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Sliding Mode Control based on Disturbance Observer for Magnetic Levitation Positioning Stage

  • Zhang, Shansi;Ma, Shuyuan;Wang, Weiming
    • Journal of Electrical Engineering and Technology
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    • v.13 no.5
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    • pp.2116-2124
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    • 2018
  • Magnetic levitation system with the advantages of non-contact, no friction and no wear can satisfy the requirement of high precision and high speed positioning. In this paper, magnetic levitation positioning stage which mainly consists of planar coil and HALBACH permanent magnet array and its control and driving system are designed. Magnetic levitation system is a highly nonlinear and strongly coupled complex system and its control performance can be influenced by the uncertainty and external disturbance. So exact feedback linearization method is used to realize exact linearization and decoupling, and a strategy of sliding mode control based on disturbance observer is proposed to compensate the uncertainty and external disturbance. Detailed proofs of observer's convergence property and system stability are derived. Both the simulation and experiment results verify the effectiveness of sliding mode control algorithm based on disturbance observer.

A Robust Fault Detection method for Uncertain Systems with Modelling Errors (모델링 오차를 갖는 불확정 시스템에서의 견실한 이상 검출기)

  • 권오주;이명의
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.39 no.7
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    • pp.729-739
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    • 1990
  • This paper deals with the fault detection problem in uncertain linear/non-linear systems having both undermodelling and noise. A robust fault detection method is presented which accounts for the effects of noise, model mismatch and nonlinearities. The basic idea is to embed the unmodelled dynamics in a stochastic process and to use the nominal model with a predetermined fixed denominator. This allows the input /output relationship to be represented as a linear function of the system parameters and also facilitate the quatification of the effect of noise, model mismatch and linearization errors on parameter estimation by the Bayesian method. Comparisons are made via simulations with traditional fault detection methods which do not account for model mismatch or linearization errors. The new method suggested in this paper is shown to have a marked improvement over traditional methods on a number of simulations, which is a consequence of the fact that the new method explicitly for the effects of undermodelling and linearization errors.

Indirect Adaptive Sliding Mode Control Using Parameter Estimation of Hopfield Network (Hopfield 신경망의 파라미터 추정을 이용한 간접 적응 가변구조제어)

  • Ham, Jae-Hoon;Park, Tae-Geon;Lee, Kee-Sang
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.1037-1041
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    • 1996
  • Input-output linearization technique in nonlinear control does not guarantee the robustness in the presence of parameter uncertainty or unmodeled dynamics, etc. However, it has been used as an important preliminary step in achieving additional control objectives, for instance, robustness to parameter uncertainty and disturbance attenuation. An indirect adaptive control scheme based on input-output linearization is proposed in this paper. The scheme consists of a Hopfield network for process parameter identification and an adaptive sliding mode controller based on input-output linearization, which steers the system response into a desired configuration. A numerical example is presented for the trajectory tracking of uncertain nonlinear dynamic systems with slowly time-varying parameters.

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Development of Controller for EMS System using Nonlinear Feedback Linearization, regarding Uncertainty of System (시스템의 불확실성을 고려한 자기부상 시스템의 비선형 궤환 선형화 제어기)

  • Byun, Ji-Joon;Joo, Sung-Jun;Seo, Jin-Heon
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.345-347
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    • 1993
  • It is known that Feedback linearization has important limitations-the full state has to be measured; no robustness is guaranteed with respect to parameter uncertainty and unmodeled dynamics. In this paper, we construct a nonlinear feedback linearization controller for the system containing uncertain parameters and unknown states, in the case of EMS system with rail vibration. Performance of this controller is demonstrated by computer simulation.

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Load Position and Residual Vibration Control of an Offshore Crane System Based on Input-Output Linearization Theory

  • Le, Nhat-Binh;Lee, Kwon-Soon;Kim, Young-Bok
    • Journal of Navigation and Port Research
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    • v.41 no.5
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    • pp.337-344
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    • 2017
  • In the offshore crane system, the requirements on the operating safety are extremely high due to many external factors. Rope extension is one of the factors producing vertical vibration of load. In this study, the load is carried by the motor-winch actuator control and the rope is modeled as a mass-damper-spring system. To control the load position and suppress the vertical vibration of the load, a control system based on input-output linearization method is proposed. By the simulation and experiment results with pilot crane model, the effectiveness of proposed control method is evaluated and verified.

Shifting Controller Design via Exact Feedback Linearization of a Spherical Continuously Variable Transmission (구체무단변속기의 비선형 피드백제어기 설계)

  • Kim, Jung-Yun;Kim, Kye-Ree;Park, Yeong-Il;Park, Chong-Woo;Lee, Jang-Moo
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.110-115
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    • 2001
  • The spherical CVT, intended to overcome some of the limitations of existing CVT designs, is marked by its simple kinematic design, improved efficiency of the shift actuator, and IVT characteristics, i.e., the ability of smooth transition between the forward, neutral, and reverse states without the need for any brakes or clutches. And it has been promised much possibility of energy savings and various applications for small power capacity machinery. Due to the nonlinearity of the spherical CVT shifting dynamics, however the original open-loop system is inherently unstable. Hence a feedback controller is necessary to make the system stable and to achieve effective tracking performance. To do this, we designed a feedback controller that cancels nonlinearities and transforms the original nonlinear system dynamics into a stable and controllable linear one, based on the input-state linearization method.

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Seismic Capacity Required for the Safety Limit Design of High-rise RC Buildings under Long-period Ground Motions in Osaka, JAPAN and its Estimation Based on the Equivalent Linearization Method

  • Sanada, Yasushi;Yoshida, Hiroki;Awano, Masayuki
    • International Journal of High-Rise Buildings
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    • v.9 no.4
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    • pp.315-323
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    • 2020
  • In June 2016, the Ministry of Land, Infrastructure, Transport and Tourism (MLIT) in Japan delivered countermeasures against long-period ground motions caused by strong earthquakes along the Nankai trough. However, the countermeasures do not cover high-rise buildings equal to or shorter than 60 m in height, which do not require earthquake response analyses in the seismic design. Hence, in the present study, earthquake response analyses for such high-rise reinforced concrete (RC) buildings were performed under artificial ground motions assumed in the OS1 and OS2 regions to determine the base shear coefficients that satisfy a given safety demand. Furthermore, the results from the earthquake response analyses were estimated by the authors' proposed method based on the equivalent linearization method, showing good agreement and inspiring suggestions for more accurate and simplified estimations.