• 제목/요약/키워드: polynomial stability

검색결과 116건 처리시간 0.024초

Highly accurate family of time integration method

  • Rezaiee-Pajand, Mohammad;Esfehani, S.A.H.;Karimi-Rad, Mahdi
    • Structural Engineering and Mechanics
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    • 제67권6호
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    • pp.603-616
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    • 2018
  • In this study, the acceleration vector in each time step is assumed to be a mth order time polynomial. By using the initial conditions, satisfying the equation of motion at both ends of the time step and minimizing the square of the residual vector, the m+3 unknown coefficients are determined. The order of accuracy for this approach is m+1, and it has a very low dispersion error. Moreover, the period error of the new technique is almost zero, and it is considerably smaller than the members of the Newmark method. The proposed scheme has an appropriate domain of stability, which is greater than that of the central difference and linear acceleration techniques. The numerical tests highlight the improved performance of the new algorithm over the fourth-order Runge-Kutta, central difference, linear and average acceleration methods.

An Enhanced Chebyshev Collocation Method Based on the Integration of Chebyshev Interpolation

  • Kim, Philsu
    • Kyungpook Mathematical Journal
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    • 제57권2호
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    • pp.287-299
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    • 2017
  • In this paper, we develop an enhanced Chebyshev collocation method based on an integration scheme of the generalized Chebyshev interpolations for solving stiff initial value problems. Unlike the former error embedded Chebyshev collocation method (CCM), the enhanced scheme calculates the solution and its truncation error based on the interpolation of the derivative of the true solution and its integration. In terms of concrete convergence and stability analysis, the constructed algorithm turns out to have the $7^{th}$ convergence order and the A-stability without any loss of advantages for CCM. Throughout a numerical result, we assess the proposed method is numerically more efficient compared to existing methods.

감쇠효과(減衰效果)를 고려한 비보존력계(非保存力系) 안정성(安定性) 해석(解析) (The Stability Analysis of Non-Conservative System including Damping Effects)

  • 김문영;장승필
    • 대한토목학회논문집
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    • 제10권3호
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    • pp.57-65
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    • 1990
  • 2절점 유한 요소법을 사용하여 비보존력을 받는 평면뼈대 구조물의 안정성문제를 취급하였다. 포물선 분포를 이루는 축방향력에 대한 가하적인 강도매트럭스, 비보존력의 방향변화를 고려하는 load correction stiffness matrix 그리고 내적 몇 외적감쇠효과를 고려하는 감쇠매트릭스들을 산정하고 이들을 고려한 매트릭스 운동방정식을 유도하였다. 이 방정식으로부터 얻어지는 고유치 문제들을 분석하므로써 감쇠하중의 영향이 고려된 비보존력계의 동적(動的) 안정성(安定性)을 조사하였다. 문헌들에서 취급된 예제들의 해석결과들과 본연구에 의한 결과들을 비교 분석하므로써 본 논문에서 제시한 이론의 정당성을 입증하였다.

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Intelligent Auto-Tuning for Adaptive Control of DC Motor System with Load Inertia of Great Variation

  • Woraphojn Khongphasook;Vipan Prijapanij;anant, Phornsuk-Ratiroch;Jongkol Ngamwiwit;Hiroshi Hirata
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.442-442
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    • 2000
  • The intelligent auto-tuning method fur a strongly stable adaptive control system of a DC motor with great load inertia variation is proposed. The stable characteristic polynomial that is designed by an optimal servo is specified for the adaptive pole placement control system. The appropriate adaptive control system can be derived, by adjusting automatically the weight of a performance criterion in optimal control by means of the fuzzy inference on the basis of the stability index.

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주파수역 설계를 통한 안정한 일반형 예측제어 (Stable Generalized Predictive Control Using Frequency Domain Design)

  • 윤강섭;이만형
    • 한국정밀공학회지
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    • 제18권11호
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    • pp.58-66
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    • 2001
  • GPC has been reported as a useful self-tuning control algorithm for systems with unknown time-delay and parameters. GPC is easy to understand and implement, and thus has won popularity among many practicing engineers. Despite its success, GPC does not guarantee is nominal stability. So, in this paper, GPC is rederived in frequency domain instead of in the time domain to guarantee its nominal stability. Derivation of GPC in frequency domain involves spectral factorization and Diophantine equation. Frequency domain GPC control law is stable because the zeros of characteristic polynomial are strictly Schur. Recursive least square algorithm is used to identify unknown parameters. To see the effectiveness of the proposed controller, the controller is simulated for a numerical problem that changes in dead-time, in order and in parameters.

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이족보형로봇의 전체 보행구간에서의 균형점 궤적 생성에 관한 연구 (A study on the ZMP Trajectory generation in multi step walking of IWR-III Biped Walking Robot)

  • 구자혁;최영하;최상호;김진걸
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 추계학술대회 논문집 학회본부 B
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    • pp.546-548
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    • 1998
  • This paper deals with ZMP trajectory generation in multi step walking of IWR-III(Inha Walking Robot) Biped Walking Robot. Biped walking is realized by combining 6-types of pre-defined steps and the actual ZMP can be used as a stability index of a robot. For the good tracking of actual ZMP, desired ZMP trajectory is generated during the whole walking time not for each step. Trajectory generation is performed considering velocities and accelerations of given via points using 5-th order polynomial interpolation method. As a result, balancing joints have a more smooth and continuous motion and actual ZMP has a better tracking ability. Numerical simulator is done by MATLAB to guarantee the walking of a robot satisfying the ZMP stability.

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Recent developments in the GENESIS code based on the Legendre polynomial expansion of angular flux method

  • Yamamoto, Akio;Giho, Akinori;Endo, Tomohiro
    • Nuclear Engineering and Technology
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    • 제49권6호
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    • pp.1143-1156
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    • 2017
  • This paper describes recent development activities of the GENESIS code, which is a transport code for heterogeneous three-dimensional geometry, focusing on applications to reactor core analysis. For the treatment of anisotropic scattering, the concept of the simplified Pn method is introduced in order to reduce storage of flux moments. The accuracy of the present method is verified through a benchmark problem. Next, the iteration stability of the GENESIS code for the highly voided condition, which would appear in a severe accident (e.g., design extension) conditions, is discussed. The efficiencies of the coarse mesh finite difference and generalized coarse mesh rebalance acceleration methods are verified with various stabilization techniques. Use of the effective diffusion coefficient and the artificial grid diffusion coefficients are found to be effective to stabilize the acceleration calculation in highly voided conditions.

Number of sampling leaves for reflectance measurement of Chinese cabbage and kale

  • Chung, Sun-Ok;Ngo, Viet-Duc;Kabir, Md. Shaha Nur;Hong, Soon-Jung;Park, Sang-Un;Kim, Sun-Ju;Park, Jong-Tae
    • 농업과학연구
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    • 제41권3호
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    • pp.169-175
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    • 2014
  • Objective of this study was to investigate effects of pre-processing method and number of sampling leaves on stability of the reflectance measurement for Chinese cabbage and kale leaves. Chinese cabbage and kale were transplanted and cultivated in a plant factory. Leaf samples of the kale and cabbage were collected at 4 weeks after transplanting of the seedlings. Spectra data were collected with an UV/VIS/NIR spectrometer in the wavelength region from 190 to 1130 nm. All leaves (mature and young leaves) were measured on 9 and 12 points in the blade part in the upper area for kale and cabbage leaves, respectively. To reduce the spectral noise, the raw spectral data were preprocessed by different methods: i) moving average, ii) Savitzky-Golay filter, iii) local regression using weighted linear least squares and a $1^{st}$ degree polynomial model (lowess), iv) local regression using weighted linear least squares and a $2^{nd}$ degree polynomial model (loess), v) a robust version of 'lowess', vi) a robust version of 'loess', with 7, 11, 15 smoothing points. Effects of number of sampling leaves were investigated by reflectance difference (RD) and cross-correlation (CC) methods. Results indicated that the contribution of the spectral data collected at 4 sampling leaves were good for both of the crops for reflectance measurement that does not change stability of measurement much. Furthermore, moving average method with 11 smoothing points was believed to provide reliable pre-processed data for further analysis.

Bernstein 다항식을 이용한 2-D FIR 필터에 관한 연구 (A Study on 2-D FIR Filter Using the Bernstein Polynomial)

  • 서현수;강경덕;김남호
    • 한국정보통신학회:학술대회논문집
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    • 한국해양정보통신학회 2005년도 추계종합학술대회
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    • pp.443-446
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    • 2005
  • 현대 사회가 방대한 양의 정보에 대한 획득, 저장 및 전송의 과정을 필요로 함에 따라, 신호처리의 중요성이 증가하고 있으며, 영상과 같은 2차원 신호에 대해서 다양한 형태의 디지털 필터가 설계되어 사용되고 있다. 이러한 디지털 필터에는 IIR(infinite impulse response) 필터와 FIR(finite impulse response) 필터가 있으며, 특히 구현이 용이하고 선형위상특성과 안정성을 가지는 FIR 필터가 많은 분야에서 적용되고 있다. 또한 FIR 필터의 설계에 있어서 통과대역과 저지대역에서의 평탄 특성은 중요한 요소이다. 본 논문에서는 Bernstein 다항식을 이용하여 2차원 Circular FIR 저역통과 필터를 설계하였으며, 통과대역과 저지대역에서 평탄한 특성을 나타내도록 하였다. 그리고 설계된 필터를 시뮬레이션하기 위해, AWGN이 중첩된 테스트 영상을 사용하였으며, 필터링 결과를 기존의 방법들과 비교하였다.

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안전성이 높은 다변수 Knapsack 암호시스템 (High-Secure Multivariable Knapsack Cryptosystem)

  • 이병수
    • 한국정보처리학회논문지
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    • 제2권4호
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    • pp.611-618
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    • 1995
  • 고도의 정보화 사회에서 데이터의 내용변경, 중요한 데이터의 불법적인 유출, 순 서 변경 그리고 미확인 송신자와 수신자등에 의하여 항상 위협을 받음으로써 데이터의 안전성이 요구되고 있다. 본 연구에서는 컴퓨터 통신의 안전을 위한 다변수 Knapsack 암호시스템을 제안하였다. 이 시스템은 기존의 Knapsack 암호시스템보다도 간단하면서 높은 안전성을 갖는다. 그리고 제안된 암호 시스템은 초증가벡터의 각 요소를 변형하 여 다변수 다항식으로 표현한 것을 암호벡터로 구성한다. 암호문의 복호는 비밀의 정 수와 초증가벡터를 사용하면 평문의 구해진다. 따라서 이 암호의 안전성은 비밀의 정 수를 다변수 다항식으로 나타내는 암호벡터에 대입할 때 암호벡터가 초증가벡터로 되 는 근을 구하는 것의 어려움에 근거하고 있다. 제안된 다변수 Knapsack 암호시스템의 타당성이 컴퓨터 시뮬레이션을 통하여 입증되었다.

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