• Title/Summary/Keyword: quadratic convergence

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Optimized Power Control for CDMA System under Fast Channel Variance (빠른 채널 변화를 수반하는 CDMA 환경에서의 최적 전력 제어)

  • Kim, Hyung-Suck;Byun, Ji-Young;You, Kwan-Ho
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.246-248
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    • 2004
  • In this paper, we propose an optimal power control algorithm for CDMA cellular systems. The proposed power control algorithm is based on linear quadratic control theory. As the cellular system includes the changeability of system environment or various noise, Kalman filter is adapted to estimate the time-varying interference. This is the well-known linear quadratic Gaussian (LQG) theory. Through this algorithm, power transmission of each mobile with optimal one is more realistic. Simulation results show a fast convergence rate to optimal power value, and a rapid decreasing outage probability.

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A development of move limit strategy based on the accuracy of approximation for structural optimization (구조최적설계시 근사법의 정확도를 이용한 이동한계 전략의 개발)

  • Park, Young-Sun;Park, Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.21 no.8
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    • pp.1218-1228
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    • 1997
  • The move limit strategy is used to avoid the excessive approximation in the structural optimization. The size of move limit has been obtained by engineering experience. Recently, efforts based on analytic methods are performed by some researchers. These methods still have problems, such as prematurity or oscillation of the move limit size. The existing methods usually control the bound of design variables based on the magnitude. Thus, they can not properly handle the configuration variables based on the geometry in the configuration optimization. In this research, the size of move limit is calculated based on the accuracy of approximation. The method is coded and applied to the two-point reciprocal quadratic approximation method. The efficiency is evaluated through examples.

Model-based iterative learning control with quadratic criterion for linear batch processes (선형 회분식 공정을 위한 이차 성능 지수에 의한 모델 기반 반복 학습 제어)

  • Lee, Kwang-Soon;Kim, Won-Cheol;Lee, Jay-H
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.148-157
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    • 1996
  • Availability of input trajectories corresponding to desired output trajectories is often important in designing control systems for batch and other transient processes. In this paper, we propose a predictive control-type model-based iterative learning algorithm which is applicable to finding the nominal input trajectories of a linear time-invariant batch process. Unlike the other existing learning control algorithms, the proposed algorithm can be applied to nonsquare systems and has an ability to adjust noise sensitivity as well as convergence rate. A simple model identification technique with which performance of the proposed learning algorithm can be significantly enhanced is also proposed. Performance of the proposed learning algorithm is demonstrated through numerical simulations.

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An Implicit Stress Integration for the Constitutive Relationship of Clays (점토의 구성관계에 대한 내재적인 응력적분)

  • 오세붕
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.10a
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    • pp.92-98
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    • 1998
  • Nonlinear finite element analyses of one dimensional consolidation problem were performed using an anisotropic hardening constitutive model. For the analyses, the anisotropic hardening elasto-plastic constitutive model based on the generalized isotropic hardening(GIH) rule was implemented into a nonlinear finite element analysis program, PLASTIC. In order to preserve the accuracy of the finite element solution for nonlinear problems, an implicit stress integration algorithm was employed. A consistent tangent moduli could also ensure the quadratic convergence of Newton's method. As a result, the nonlinear solution was accurately calculated and was converged to be asymptotically quadratic. In a consolidation problem, the relationship between load and settlement and between settlement and time vertical was analyzed comparing with results using the Cam-clay type model and the final consolidation settlement and the duration of primary consolidation could be evaluated rigorously using the GIH constitutive model.

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Analysis of Anisotropic Plasticity of Additively Manufactured Structure using Modified Return Mapping Method (개선된 회귀착점 방법을 이용한 이방성 적층구조물의 소성해석)

  • Yang, Seung-Yong;Jin, Doo-Han;Kim, Jeoung-Han
    • Journal of Powder Materials
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    • v.29 no.4
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    • pp.303-308
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    • 2022
  • The plastic deformation behavior of additively manufactured anisotropic structures are analyzed using the finite element method (FEM). Hill's quadratic anisotropic yield function is used, and a modified return-mapping method based on dual potential is presented. The plane stress biaxial loading condition is considered to investigate the number of iterations required for the convergence of the Newton-Raphson method during plastic deformation analysis. In this study, incompressible plastic deformation is considered, and the associated flow rule is assumed. The modified return-mapping method is implemented using the ABAQUS UMAT subroutine and effective in reducing the number of iterations in the Newton-Raphson method. The anisotropic tensile behavior is computed using the 3-dimensional FEM for two tensile specimens manufactured along orthogonal additive directions.

A Study on LCMV Beamforming Method of Quadratic Pattern Constraints (2차패턴 구속의 LCMV 빔형성 방법 연구)

  • Lee, Kwan-Hyeong
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.15 no.5
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    • pp.343-348
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    • 2022
  • The STAP system suppresses clutter and jamming of the radar signal, but required a large number of samples for optimal performance. A large number of samples increases the signal processing computation. Therefore, there is need for a transformation method for reducing the signal rank. The LCMV beamforming method can easily set the distortion-free-constraint in the direction of arrival, and the beamforming scaling is excellent, so that overall rank can be reduced. In this study, the information of target is estimated using the proposed quadratic pattern constraints(QPC) and LCMV beamforming methods. The proposed method can perform beam pattern control in a desired direction according to the number of constraint conditions as a secondary pattern constraint condition. Through simulation, the performance of the propose method is verified. As a result on th simulation, the desired target was estimated when the proposed method had an angular resolution of 10 degrees or more, but it was not possible to accurately estimate the desired target when the angular resolution was less than 10 degrees.

Convergence Study on the Optimization for Suppression of Starch Hydrolysis using Rutin, Quercetin and Dietary Fiber Mixture Design (루틴, 퀘르세틴, 식이섬유 혼합물 설계를 이용한 전분소화 지연 효과의 최적화에 대한 융합 연구)

  • Oh, Imkyung;Bae, In Young
    • Journal of the Korea Convergence Society
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    • v.11 no.5
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    • pp.35-41
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    • 2020
  • This study was conducted to develop the efficient system for starch hydrolysis suppression using rutin, quercetin and dietary fiber through the statistical mixture design. The three components were replaced with wheat flour at the level of 10% and the mixed gel with three components was characterized by in vitro starch digestion. The mixture design was applied by simplex-centroid experimental model. The quadratic model (R2=0.86) was well fitted and the obtained regression equation indicated that the significant positive effects was observed in the quercetin and fiber mixture. Based on the statistical results, the best mixing ratio of quercetin and fiber was 72: 28 that led to the lowest predicted glycemic index (pGI). Their interactions on the pGI of starch digestibility were clearly visualized in the 3D surface plot. These results suggested that the mixture of quercetin and fiber interact strongly with wheat flour, consequently retarding starch hydrolysis by 15%.

CONVERGENCE OF THE NEWTON'S METHOD FOR AN OPTIMAL CONTROL PROBLEMS FOR NAVIER-STOKES EQUATIONS

  • Choi, Young-Mi;Kim, Sang-Dong;Lee, Hyung-Chun
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.5
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    • pp.1079-1092
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    • 2011
  • We consider the Newton's method for an direct solver of the optimal control problems of the Navier-Stokes equations. We show that the finite element solutions of the optimal control problem for Stoke equations may be chosen as the initial guess for the quadratic convergence of Newton's algorithm applied to the optimal control problem for the Navier-Stokes equations provided there are sufficiently small mesh size h and the moderate Reynold's number.

Fixed-point Iteration for the Plastic Deformation Analysis of Anisotropic Materials (이방성 재료의 소성변형 해석을 위한 고정점 축차)

  • Seung-Yong Yang;Jeoung Han Kim
    • Journal of Powder Materials
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    • v.30 no.1
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    • pp.29-34
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    • 2023
  • A fixed-point iteration is proposed to integrate the stress and state variables in the incremental analysis of plastic deformation. The Conventional Newton-Raphson method requires a second-order derivative of the yield function to generate a complicated code, and the convergence cannot be guaranteed beforehand. The proposed fixed-point iteration does not require a second-order derivative of the yield function, and convergence is ensured for a given strain increment. The fixed-point iteration is easier to implement, and the computational time is shortened compared with the Newton-Raphson method. The plane-stress condition is considered for the biaxial loading conditions to confirm the convergence of the fixed-point iteration. 3-dimensional tensile specimen is considered to compare the computational times in the ABAQUS/explicit finite element analysis.

THE METHOD OF QUASILINEARIZATION AND A THREE-POINT BOUNDARY VALUE PROBLEM

  • Eloe, Paul W.;Gao, Yang
    • Journal of the Korean Mathematical Society
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    • v.39 no.2
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    • pp.319-330
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    • 2002
  • The method of quasilinearization generates a monotone iteration scheme whose iterates converge quadratically to a unique solution of the problem at hand. In this paper, we apply the method to two families of three-point boundary value problems for second order ordinary differential equations: Linear boundary conditions and nonlinear boundary conditions are addressed independently. For linear boundary conditions, an appropriate Green\`s function is constructed. Fer nonlinear boundary conditions, we show that these nonlinearities can be addressed similarly to the nonlinearities in the differential equation.