• Title/Summary/Keyword: nonlinearity

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Nonlinearity-Compensation Extended Kalman Filter for Handling Unexpected Measurement Uncertainty in Process Tomography

  • Kim, Jeong-Hoon;Ijaz, Umer Zeeshan;Kim, Bong-Seok;Kim, Min-Chan;Kim, Sin;Kim, Kyung-Youn
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1897-1902
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    • 2005
  • The objective of this paper is to estimate the concentration distribution in flow field inside the pipeline based on electrical impedance tomography. Special emphasis is given to the development of dynamic imaging technique for two-phase field undergoing a rapid transient change. Nonlinearity-compensation extended Kalman filter is employed to cope with unexpected measurement uncertainty. The nonlinearity-compensation extended Kalman filter compensates for the influence of measurement uncertainty and solves the instability of extended Kalman filter. Extensive computer simulations are carried out to show that nonlinearity-compensation extended Kalman filter has enhanced estimation performance especially in the unexpected measurement environment.

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Measurements of Nonlinearity in homodyne interferometer (Homodyne interferometer의 Non I inear ity 측정)

  • 김종윤;엄태봉;정규원;최태영;이건희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2000.11a
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    • pp.55-59
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    • 2000
  • Nonlinearity is one of the primary causes of error in precision length measurement using laser interferometer. It arises periodically. The periodical nonlinearity usually ranges from sub-naometre to several namertres. In the homodyne interferometer, it results from a number of factors including polarization mixing, imperfect optical clement, unequal gain of detectors, misalignment of axes between input beam and beam splitter. In this paper, we described a method for measuring and compensating the nonlinearity of homodyne interferometer using the elliptical least-square fitting technique associated with electric method and experimental results in one frequency polarization interferometer.

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Precision Position Control of Piezoactuator Using Inverse Hysteresis Model (역 히스테리시스 모델을 이용한 압전 구동기의 정밀위치 제어)

  • 김정용;이병룡;양순용;안경관
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.349-352
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    • 1997
  • A Piezoelectric actuator yields hysteresis effect due to its composed ferroelectric. Hysteresis nonlinearity is neglected when a piezoelectric actuator moves with short stroke. However when it moves with long stroke and high frequency, the hysteresis nonlinearity can not be neglected. The hysteresis nonlinearity of piezoelectric actuator degrades the control performance in precision position control. In this paper, in order to improve the control performance of piezoelectric actuator, an inverse modeling scheme is proposed to compensate the hysteresis nonlinearity problem. And feedforward-feedforward-feedback controller is proposed to give a good tracking performance. The Feedforward controller is inverse hysteresis model, and PID control is sued as a feedback controller. To show the feasibility of the proposed controller and hysteresis modeling, some experiments have been carried out. It is concluded hat the proposed control scheme gives good tracking performance.

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Study on the geometrical nonlinearity of the hinge mechanism used in a piezoactuator (압전구동기에 사용되는 힌지 메커니즘의 기구학적 비선형성에 관한 연구)

  • 김준형;김수현;곽윤근
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1638-1642
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    • 2003
  • Piezoactuator using a flexure hinge mechanism is often used in the precision stages. When the total size of the hinge mechanism become small compared with the deformation of the hinge mechanism, the geometrical nonlinearity makes a considerable error in the output displacement. In this research, the incremental method based on the matrix method is developed to model the effect of the geometrical nonlinearity. Developed modeling method is applied to derive the error of output displacement of the bridge-type hinge mechanism and its results are derived with respect to the design parameters. This method can be easily used to the design optimization of the hinge mechanism and analysis results show that the geometrical nonlinearity error should be considered to achieve a high accuracy to the piezoactuators.

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Nonlinearity compensation for laser interferometer using adaptive algorithm (적응형 알고리즘에 의한 레이저 간섭계의 비선형성 오차 보정)

  • Lee, Woo-Ram;Hong, Min-Suk;Choi, In-Sung;You, Kwan-Ho
    • Proceedings of the KIEE Conference
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    • 2006.04a
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    • pp.234-236
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    • 2006
  • Because of its long measurement range and ultra-precise resolution. the heterodyne laser interferometer systems are very common in various industry area such as semiconductor manufacturing. However the periodical nonlinearity property caused from frequency mixing is an obstacle to improve the high measurement accuracy in nanometer scale. In this paper to minimize the effect of nonlinearity, we propose an adaptive nonlinearity compensation algorithm. We first compute compensation parameters using least square (LS) with the capacitance displacement sensor as a reference input. We then update the parameters with recursive LS (RLS) while the values are optimized to modify the elliptical phase into circular one. Through comparison with some experimental results of laser system, we demonstrate the effectiveness of our proposed algorithm.

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Long-Term Aging Diagnosis of Rotor Steel Using Acoustic Nonlinearity

  • Kim, Chung-Seok;Park, Ik-Keun;Jhang, Kyung-Young;Hyun, Chang-Yong
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.6
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    • pp.642-649
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    • 2011
  • The long-term aging of ferritic 2.25CrMo steel was characterized using the acoustic nonlinear effect in order to apply to diagnose the degradation behavior of structural materials. We measured the acoustic nonlinearity parameter for each thermally aged specimen by the higher harmonic-generation technique. The acoustic nonlinearity parameter increased with aging time due to equilibrium M6C carbide precipitation, and has a favorable linear relation with Rockwell hardness. This study suggests that acoustic nonlinearity testing may be applicable to diagnostics on strength degradation in rotor steels.

Stabilization of Saturation Nonlinearity System using Describing Functions (기술함수를 사용한 포화 비선형성 시스템의 안정화)

  • Song, Ja-Youn
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2043-2045
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    • 2002
  • When the input is small, increase of the input leads to a corresponding increase of output, but when the input reaches a certain level, its further increase does produces little or no increase of the output. When this phenomenon happens, the device is said to be in saturation. Occurence of saturation amounts to reducing the gain of the device as the input signals are increased. An extreme case of saturation is the on-off or relay nonlinearity. On-off nonlinearitics have effects similar to those of saturation nonlinearities. Furthermore they can lead to "chattering" in the physical systems doc to their discontinuous nature. This paper presents stabilization method of saturation nonlinearity system using deadzone describing function etc.. And computer simulation results show that saturation nonlinearity can be eliminated due to deadzone nonlinearity.

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Vibration Analysis of Composite Laminated Plates Considered in Material-Nonlinearity (재료비선형을 고려한 복합적층판의 진동해석)

  • Seok, Keun-Yung;Kang, Joo-Won;Shin, Young-Shik
    • Journal of Korean Association for Spatial Structures
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    • v.6 no.4 s.22
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    • pp.45-52
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    • 2006
  • FRP laminated plates have strong material-nonlinearity. Through vibration Analysis of FRP laminated plates, the result of nonlinearity analysis is compared with the result of linearity analysis according to stacking angle and squency. This study is a fundamental study about displacement in nonlinearity dynamic behavior of FRP laminated plates.

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Detection of nonlinear structural behavior using time-frequency and multivariate analysis

  • Prawin, J.;Rao, A. Rama Mohan
    • Smart Structures and Systems
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    • v.22 no.6
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    • pp.711-725
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    • 2018
  • Most of the practical engineering structures exhibit nonlinearity due to nonlinear dynamic characteristics of structural joints, nonlinear boundary conditions and nonlinear material properties. Hence, it is highly desirable to detect and characterize the nonlinearity present in the system in order to assess the true behaviour of the structural system. Further, these identified nonlinear features can be effectively used for damage diagnosis during structural health monitoring. In this paper, we focus on the detection of the nonlinearity present in the system by confining our discussion to only a few selective time-frequency analysis and multivariate analysis based techniques. Both damage induced nonlinearity and inherent structural nonlinearity in healthy systems are considered. The strengths and weakness of various techniques for nonlinear detection are investigated through numerically simulated two different classes of nonlinear problems. These numerical results are complemented with the experimental data to demonstrate its suitability to the practical problems.

Effects of Material Nonlinearity on Seismic Responses of Multistoried Buildings with Shear Walls and Bracing Systems

  • Islam, Md. Rajibul;Chakraborty, Sudipta;Kim, Dookie
    • Architectural research
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    • v.24 no.3
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    • pp.75-84
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    • 2022
  • Scads of earthquake-resistant systems are being invented around the globe to ensure structural resistance against the lateral forces induced by earthquake loadings considering structural safety, efficiency, and economic aspects. Shear wall and Bracing systems are proved to be two of the most viable solutions for seismic strengthening of structures. In the present study, three numerical models of a G+10 storied building are developed in commercial building analysis software considering shear wall and bracing systems for earthquake resistance. Material nonlinearity is introduced by using plastic hinges. Analyses are performed utilizing two dynamic methods: Response Spectrum analysis and nonlinear Time-history analysis using Kobe and Loma Prieta earthquake data and results are compared to observe the nonlinear behavior of structures. The outcomes exposed that a significant increase in the seismic responses occurs due to the nonlinearity in the building systems. It was also found that building with shear wall exhibits maximum resistance and minimum nonlinearity when subjected to dynamic loadings.