• Title/Summary/Keyword: Quasi Stable

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Sliding Mode Control of Three-Phase Four-Leg Inverters via State Feedback

  • Yang, Long-Yue;Liu, Jian-Hua;Wang, Chong-Lin;Du, Gui-Fu
    • Journal of Power Electronics
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    • v.14 no.5
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    • pp.1028-1037
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    • 2014
  • To optimize controller design and improve static and dynamic performances of three-phase four-leg inverter systems, a compound control method that combines state feedback and quasi-sliding mode variable structure control is proposed. The linear coordinate change matrix and the state variable feedback equations are derived based on the mathematical model of three-phase four-leg inverters. Based on system relative degrees, sliding surfaces and quasi-sliding mode controllers are designed for converted linear systems. This control method exhibits the advantages of both state feedback and sliding mode control. The proposed controllers provide flexible dynamic control response and excellent stable control performance with chattering suppression. The feasibility of the proposed strategy is verified by conducting simulations and experiments.

(Σ, ∆)-Compatible Skew PBW Extension Ring

  • Hashemi, Ebrahim;Khalilnezhad, Khadijeh;Alhevaz, Abdollah
    • Kyungpook Mathematical Journal
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    • v.57 no.3
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    • pp.401-417
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    • 2017
  • Ever since their introduction, skew PBW ($Poincar{\acute{e}}$-Birkhoff-Witt) extensions of rings have kept growing in importance, as researchers characterized their properties (such as primeness, Krull and Goldie dimension, homological properties, etc.) in terms of intrinsic properties of the base ring, and studied their relations with other fields of mathematics, as for example quantum mechanics theory. Many rings and algebras arising in quantum mechanics can be interpreted as skew PBW extensions. Our aim in this paper is to study skew PBW extensions of Baer, quasi-Baer, principally projective and principally quasi-Baer rings, in the case when the base ring R is not assumed to be reduced. We just impose some mild compatibleness over the base ring R, and prove that these properties are stable over this kind of extensions.

Streaming Gas Clouds associated with the Circumnuclear Disk (CND) of our Galactic Center

  • Minh, Young Chol
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.1
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    • pp.41.3-41.3
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    • 2015
  • The supermassive black hole (SMBH) of our Galactic Center is surrounded by the circumnuclear disk (CND) in the radii of about 2-3 pc. New data from the Submillimeter Array and Green Bank Telescope clearly reveal the irregular and clumpy structures of the CND and its surroundings which may be a dynamically evolving integrated system. The CND seems to be the convergence of the various gas streamers inflowing, shaped mostly via local disturbances associated with, rather than a quasi-stationary stable structure.

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Band Electronic Structure Study of Two-Dimensional Organic Metal (BEDT-TTF)2Cu5I6 with a Polymer Anion Layer

  • Dae Bok Kang
    • Bulletin of the Korean Chemical Society
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    • v.12 no.5
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    • pp.515-517
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    • 1991
  • The electronic behavior of a organic metal $(BEDT-TTE)_2$${Cu_5}{I_6}$ observed to be stable at low temperatures was examined by performing tight-binding band electronic structure calculations. The suppression of a metal-insulator tansition is likely to originate from its quasi-two-dimensional Fermi surface with no nesting, in agreement with experiment.

GENERAL SYSTEM OF MULTI-SEXTIC MAPPINGS AND STABILITY RESULTS

  • Abasalt Bodaghi
    • Communications of the Korean Mathematical Society
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    • v.38 no.2
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    • pp.509-524
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    • 2023
  • In this study, we characterize the structure of the multivariable mappings which are sextic in each component. Indeed, we unify the general system of multi-sextic functional equations defining a multi-sextic mapping to a single equation. We also establish the Hyers-Ulam and Găvruţa stability of multi-sextic mappings by a fixed point theorem in non-Archimedean normed spaces. Moreover, we generalize some known stability results in the setting of quasi-𝛽-normed spaces. Using a characterization result, we indicate an example for the case that a multi-sextic mapping is non-stable.

Suppression of Output Distortion in a Gyroscope using Fiber Amplifier/Source by Tracking of Optimum Modulation Amplitude

  • Park, Hee-Gap
    • Journal of the Optical Society of Korea
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    • v.3 no.2
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    • pp.80-85
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    • 1999
  • We propose and demonstrate a new scheme for suppression of output distortion in an open-loop gyroscope employing an erbium-doped fiber amplifier/source (FAS). In addition to the main modulation for the rotation rate measurement, a small auxiliary modulation at a different frequency is used to extract an error signal, which is necessary for keeping the quasi-dc component of the feedback signal power at a constant level for varying rotation rate. By active tracking of the optimum modulation condition using this two-frequency modulation scheme, we obtain stable gyro output with suppressed distortion as well as stable FAS characteristics. We also calculate the distortion in the gyro response due to the feedback effect, from which we estimate the FAS gyro output distortion due to the residual ac feedback effect when the dc feedback effect is removed by the proposed scheme. The measured residual deviation agrees reasonably with the estimation.

Analysis on Mt. Umyeon Landslide Using Infinite Slope Stability Model (무한사면안정해석모형을 이용한 우면산 산사태 분석)

  • Lee, Gi-Ha;Oh, Sung-Ryul;Lee, Dae-Up;Jung, Kwan-Sue
    • Proceedings of the Korea Water Resources Association Conference
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    • 2012.05a
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    • pp.737-741
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    • 2012
  • 본 연구에서는 2011년 7월 27일 집중호우로 인한 서울시 우면산 산사태 지역을 대상으로 뿌리의 보강효과와 분포형 습윤지수를 고려한 GIS기반의 무한사면안 해석기법을 이용하여 사면안정해석을 실시하였다. 사면안정해석을 위한 지형 지질학적 매개변수는 수치지도, 정밀토양도 및 임상도(임상도와 영급도)로부터 추출하여 $10m{\times}10m$ 해상도의 공간분 포형 데이터베이스로 변환하였다. 또한, 분포형 습윤지수의 산정을 위한 비집수면적(specific catchment area)은 무한방향흐름 기법(IFD, infinity flow direction)을 이용하여 결정하였으며, 모형의 입력 강우자료는 서울시 서초와 남현 AWS의 산사태 발생초기와 종기시의 평균 일강우량을 적용하였다. 대상유역의 사면안정해석을 위해 격자별 안전률은 4개의 등급(unstable, quasi stable, moderately stable, stable)으로 구분하여 도시하였다. 산사태 발생인자별 분석결과, 무한사면안정해석기법을 이용하여 산정된 사면안전률은 사면경사에 매우 민감하게 반응하는 것으로 분석되었으며, 거주지 주변의 절개지 부근과 산지정상부근의 급경사지에서 불안정 지역이 집중적으로 분포하고 있음을 확인하였다.

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Fracture of Multiple Flaws in Uniaxial Compression (일축압축 상태하 다중 불연속면의 파괴에 대한 연구)

  • 사공명;안토니오보베
    • Tunnel and Underground Space
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    • v.11 no.4
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    • pp.301-310
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    • 2001
  • Gypsum blocks with sixteen flaws have been prepared and tested in uniaxial compression. Results from these experiments are compared with observations from the same material with two and three flaws. The results indicate that the cracking pattern observed in specimens wish multiple flaws is analogous to the pattern obtained in specimens with two and three flaws such as initiation and propagation of wing, and secondary cracks and coalescence. Wing cracks initiate at an angle with the flaw and propagate in a stable manner towards the direction of maximum compression. Secondary cracks initiate and propagate in a stable manner. As the load is increased, secondary cracks may propagate in an unstable manner and produce coalescence. Two types of secondary cracks are observed: quasi-coplanar, and oblique secondary cracks. Coalescence is produced by the linkage of two flaws: wing and/or secondary cracks. From the sixteen flaws test, four types of coalescence are observed. Observed types of coalescence and initiation stress of wing and secondary crackle depend on flaw geometries, such as spacing, continuity, flaw inclination angle, ligament angle, and steppings.

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Evaluation of Landing Stability of Lunar Lander Considering Various Landing Conditions (다양한 착륙환경변수를 고려한 달착륙선 착륙안정성 평가)

  • Jeong, Hyun-Jae;Lim, Jae Hyuk;Kim, Jin-Won
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.46 no.2
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    • pp.124-132
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    • 2018
  • In this paper, landing stability evaluation of lunar lander considering various landing conditions was performed. The status of landing stability of the lunar lander is classified into stable landing, conditionally stable landing due to sliding and unstable landing due to tip-over. In particular, the quasi-static tip-over equation was rearranged considering the phenomena of lowering the center of gravity and extension of foot-pad interval of the landing gear. These results were compared by finite element model analysis results using a commercial software ABAQUS and its validity and accuracy were verified. The verified finite element model was used for examining the tendency of various environmental variables such as landing conditions, friction coefficient, lateral speed and slope of ground.

Dynamic responses of an FPSO moored on sloped seabed under the action of environmental loads

  • Roy, Shovan;Banik, Atul K.
    • Ocean Systems Engineering
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    • v.8 no.3
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    • pp.329-343
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    • 2018
  • The inclination of seabed profile (sloped seabed) is one of the known topographic features which can be observed at different seabed level in the large offshore basin. A mooring system connected between the platform and global seabed is an integral part of the floating structure which tries to keep the floating platform settled in its own position against hostile sea environment. This paper deals with an investigation of the motion responses of an FPSO platform moored on the sloped seabed under the combined action of wave, wind and current loads. A three-dimensional panel discretization method has been used to model the floating body. To introduce the connection of multi-segmented non-linear elastic catenary mooring cables with the sloped seabed, a quasi-static composite catenary model is employed. The model and analysis have been completed by using hydrodynamic diffraction code AQWA. Validation of the numerical model has been successfully carried out with an experimental work published in the latest literature. The analysis procedure in this study has been followed time domain analysis. The study involves an objective oriented investigation on platform motions, in order to identify the effects of the slopped seabed, the action of the wave, wind and current loads and the presence of riser system. In the end, an effective analysis has been performed to identify a stable mooring model in demand of reducing structural responses of the FPSO.