• Title/Summary/Keyword: unified formula

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A New Unified Method for Anti-windup and Bumpless Transfer (누적방지 무충돌전환을 위한 새로운 통합형 기법)

  • Kim, Tae-Shin;Kwon, Oh-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.655-660
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    • 2009
  • In many real applications, the discrepancy problem between controller outputs and plant inputs or the abrupt variation problem of controller outputs can occur. These problems have a negative effect on control performance and stability. It is well-known that two phenomena called 'windup' and 'bump' cause these problems. So far these problems have been studied separately in each side of the anti-windup and the bumpless transfer. This paper proposes a new unified method combines the anti-windup and the bumpless transfer method using the linear quadratic minimization and a proper state space model representation for the anti-windup controller. The proposed method has a feature that it takes account of both the anti-windup and the bumpless transfer in one formula. Finally, we exemplify the performance of the proposed method via numerical examples using the controller switching between the anti-windup PID controller and the anti-windup LQ controller.

An Unified Bayesian Total Variation Regularization Method and Application to Image Restoration (통합 베이즈 총변이 정규화 방법과 영상복원에 대한 응용)

  • Yoo, Jae-Hung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.1
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    • pp.41-48
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    • 2022
  • This paper presents the unified Bayesian Tikhonov regularization method as a solution to total variation regularization. The integrated method presents a formula for obtaining the regularization parameter by transforming the total variation term into a weighted Tikhonov regularization term. It repeats until the reconstructed image converges to obtain a regularization parameter and a new weighting factor based on it. The experimental results show the effectiveness of the proposed method for the image restoration problem.

AN M/G/1 QUEUE WITH GENERALIZED VACATIONS AND EXHAUSTIVE SERVICE

  • Lim, Jong-Seul;Lee, Sang-Heon
    • Journal of applied mathematics & informatics
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    • v.6 no.1
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    • pp.309-320
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    • 1999
  • Models of single-server queues with vacations have been widely used to study the performance of many computer communi-cation and production systems. In this paper we analyze an M/G/1 queue with generalized vacations and exhaustive service. This sys-tem has been shown to possess a stochastic decomposition property. That is the customer waiting time in this system is distributed as the sum of the waiting time in a regular M/G/1 queue with no va-cations and the additional delay due to vacations. Herein a general formula for the additional delay is derived for a wide class of vacation policies. The formula is also extended to cases with multiple types of vacations. Using these new formulas existing results for certain vacation models are easily re-derived and unified.

The integration and implementation of interior point methods for linear programming (내부점 선형계획법의 통합과 구현)

  • Jin, Heui-Chae;Park, Soon-Dal
    • Journal of Korean Institute of Industrial Engineers
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    • v.21 no.3
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    • pp.429-439
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    • 1995
  • The Interior point method in linear programming is classified into two categories the affine-scaling method and the logarithmic barrier method. In this paper, we integrate those methods and implement them in one shared module. First, we analyze the procedures of two interior point methods and then find a unified formula in finding directions to improve the current solution and conditions to terminate the procedure. Second, we build the shared modules which can be used in each interior point method. Then these modules are experimented in NETLIB problems.

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CERTAIN UNIFIED INTEGRAL FORMULAS INVOLVING THE GENERALIZED MODIFIED k-BESSEL FUNCTION OF FIRST KIND

  • Mondal, Saiful Rahman;Nisar, Kottakkaran Sooppy
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.47-53
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    • 2017
  • Generalized integral formulas involving the generalized modified k-Bessel function $J^{b,c,{\gamma},{\lambda}}_{k,{\upsilon}}(z)$ of first kind are expressed in terms generalized Wright functions. Some interesting special cases of the main results are also discussed.

A Study on the Absorption of Thermal Stress on the Underground piping for the District heating (지역난방용 매설배관의 열응력 흡수에 관한 연구)

  • Kong Jae Hyang;Sin Byung Kug
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.14 no.1
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    • pp.81-88
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    • 2005
  • There have been many studies on generation equipment and plant piping, but there is no significant study result on the heat transportation pipe. As such, this study established basic theory on the compensated method among buried pipe for regional heating, and further obtained the following results by applying the conditions of AGFW and NCHPP respectively in calculation of friction and maximum installation distance for the buried pipe. Friction coefficient according to the types and physical properties of soil, friction and maximum installation distance were compared to set the application value of friction coefficient according to the location of works. Calculation formula of clay load to be applied for calculation of friction was introduced to the formula of AGFW and the formula of NCHPP that has been used in Nowon district since 1997 to determine the difference and applicability. $120^{\circ}C$ and $95^{\circ}C$ were applied in temperature difference for expansion volume to compare the arm length at the curve pipe so thai it can be reflected in the design in the future. Maximum installation distance according to thickness of pipe was compared to present the necessity of unified specification so that same kinds of pipe materials can be used for same kinds of works.

The Relation Between Local Magnitude and Moment Magnitude in the Southern Part of the Korean Peninsula (한반도 남부 지역의 지역규모와 모멘트규모의 관계)

  • Choi, HoSeon;Noh, MyungHyun;Choi, KangRyong
    • Journal of the Korean Geophysical Society
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    • v.7 no.3
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    • pp.185-192
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    • 2004
  • We calculate moment magnitudes of earthquakes occurred in the southern part of the Korean Peninsula from January, 2001 to February, 2004 and compare them with local magnitudes published by KMA(Korea Meteorological Administration) and KIGAM(Korea Institute of Geoscience and Mineral Resources). From this study, we find that local magnitudes of KIGAM have higher correlation with moment magnitudes than local magnitudes of KMA have. We induce a proper conversion formula by analyzing relation between published local magnitudes and calculated moment magnitudes. The induced formula can be used to unify kinds of magnitudes in earthquake catalogues and unified earthquake catalogues can be applied as necessary factors for analyzing earthquake characteristics, seismic hazards or attenuation formulas in the southern part of the Korean Peninsula.

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An Extension of Unified Bayesian Tikhonov Regularization Method and Application to Image Restoration (통합 베이즈 티코노프 정규화 방법의 확장과 영상복원에 대한 응용)

  • Yoo, Jae Hung
    • The Journal of the Korea institute of electronic communication sciences
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    • v.15 no.1
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    • pp.161-166
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    • 2020
  • This paper suggests an extension of the unified Bayesian Tikhonov regularization method. The unified method establishes the relationship between Tikhonov regularization parameter and Bayesian hyper-parameters, and presents a formula for obtaining the regularization parameter using the maximum posterior probability and the evidence framework. When the dimension of the data matrix is m by n (m >= n), we derive that the total misfit has the range of m ± n instead of m. Thus the search range is extended from one to 2n + 1 integer points. Golden section search rather than linear one is applied to reduce the time. A new benchmark for optimizing relative error and new model selection criteria to target it are suggested. The experimental results show the effectiveness of the proposed method in the image restoration problem.

Cyclic tests and numerical study of composite steel plate deep beam

  • Hu, Yi;Jiang, Liqiang;Zheng, Hong
    • Earthquakes and Structures
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    • v.12 no.1
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    • pp.23-34
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    • 2017
  • Composite steel plate deep beam (CDB) is proposed as a lateral resisting member, which is constructed by steel plate and reinforced concrete (RC) panel, and it is connected with building frame through high-strength bolts. To investigate the seismic performance of the CDB, tests of two 1/3 scaled specimens with different length-to-height ratio were carried out under cyclic loads. The failure modes, load-carrying capacity, hysteretic behavior, ductility and energy dissipation were obtained and analyzed. In addition, the nonlinear finite element (FE) models of the specimens were established and verified by the test results. Besides, parametric analyses were performed to study the effect of length-to-height ratio, height-to-thickness ratio, material type and arrangement of RC panel. The experimental and numerical results showed that: the CDBs lost their load-carrying capacity because of the large out-of plane deformation and yield of the tension field formed on the steel plate. By increasing the length-to-height ratio of steel plate, the load-carrying capacity, elastic stiffness, ductility and energy dissipation capacity of the specimens were significantly enhanced. The ultimate loading capacity increased with increasing the length-to-height ratio of steel plate and yield strength of steel plate; and such capacity increased with decreasing of height-to-thickness ratio of steel plate and gap. Finally, a unified formula is proposed to calculate their ultimate loading capacity, and fitting formula on such indexes are provided for designation of the CDB.

Critical buckling coefficient for simply supported tapered steel web plates

  • Saad A. Yehia;Bassam Tayeh;Ramy I. Shahin
    • Structural Engineering and Mechanics
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    • v.90 no.3
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    • pp.273-285
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    • 2024
  • Tapered girders emerged as an economical remedy for the challenges associated with constructing long-span buildings. From an economic standpoint, these systems offer significant advantages, such as wide spans, quick assembly, and convenient access to utilities between the beam's shallow sections and the ceiling below. Elastic-local buckling is among the various failure modes that structural designers must account for during the design process. Despite decades of study, there remains a demand for efficient and comprehensive procedures to streamline product design. One of the most pressing requirements is a better understanding of the tapered web plate girder's local buckling behavior. This paper conducts a comprehensive numerical analysis to estimate the critical buckling coefficient for simply supported tapered steel web plates, considering loading conditions involving compression and bending stresses. An eigenvalue analysis was carried out to determine the natural frequencies and corresponding mode shapes of tapered web plates with varying geometric parameters. Additionally, the study highlights the relative significance of various parameters affecting the local buckling phenomenon, including the tapering ratio of the panel, normalized plate length, and ratio of minimum to maximum compressive stresses. The regression analysis and optimization techniques were performed using MATLAB software for the results of the finite element models to propose a separate formula for each load case and a unified formula covering different compression and bending cases of the elastic local buckling coefficient. The results indicate that the proposed formulas are applicable for estimating the critical buckling coefficient for simply supported tapered steel web plates.