• Title/Summary/Keyword: Convergent approach

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Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem (선형행렬부등식을 이용한 정적출력궤환 제어기 설계)

  • Kim Seogj-Joo;Kwon Soonman;Kim Chung-Kyung;Moon Young-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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    • pp.747-752
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    • 2004
  • This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.

A Design of 8192-point FFT Processor using a new CBFP Scaling Method (새로운 CBFP 스케일링 방법을 적용한 8192점 FFT프로세서 설계)

  • 이승기;양대성;박광호;신경욱
    • Proceedings of the IEEK Conference
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    • 2002.06b
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    • pp.113-116
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    • 2002
  • This paper describes a design of 8192-Point pipelined FFT/IFFT processor (PFFTSk) core for DVB-T and DMT-based VBSL modems. A novel two-step convergent block floating -point (75_CBFP) scaling method is proposed to improve the signal- to-quantization-noise ratio (SeNR) of FFT/IFFT results. Our approach reduces about 80% of memory when compared with conventional CBFP methods. The PFFTSk core, which is designed in VHDL and synthesized using 0.25-${\mu}{\textrm}{m}$ CMOS library, has about 76,300 gates, 390k bits RAM, and Twiddle factor ROM of 39k bits. Simulation results show that it can safely operate up to 50-MHz clock frequency at 2.5-V supply, resulting that a 8192-point FFT/IFFT can be computed every 164-$mutextrm{s}$. The SQNR of about 60-dB is achieved.

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A Synthetic Approach towards Crotonitenone (크로토니테논에 대한 합성방법)

  • Kim, Young-Kyoon
    • Journal of the Korean Wood Science and Technology
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    • v.23 no.4
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    • pp.98-107
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    • 1995
  • 천연물 중 casbene-type diterpenoid의 하나인 crotonitenone의 합성이 시도되었다. 합성 방법으로는 crotonitenone의 각 부분을 먼저 합성하여 이들을 합하는 방법(convergent method)을 적용하였으며, 각 부분이 최종물질에 적합한 sterochemistry를 갖게 하기 위하여 시작물질로는 chiron으로 S-(-)-citronellol과 IS-chrysanthemic acid를 사용하였다. 환구조를 형성하는데 중요한 역할을 할 TBDMS protecting group이 붙은 phosphonium salt(synthon A) 가 고압반응으로부터 고수율 (70%)로 생성되었다. 또한, 중요한 반응으로서 synthon A와 hydroxy lactone(synthon B)과의 Witting reaction이 성공적으로 이루어졌다. 그러나, TBDMS protecting group의 존재하에 이중 치환된 이중결합(disubstituted double bond)과 삼중치환된 것과의 선택적인 환원의 어려움으로 인하여 최종 물질의 합성방법이 재고되었으며 이에 대해 간단히 논하였다.

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Nonlinear Regression Analysis of Acid-Base Titration System (산-염기 적정 시스템의 비선형 회귀분석에 관한 고찰)

  • Park, Chung-Oh;Hong, Jae-Jin
    • Korean Journal of Clinical Laboratory Science
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    • v.40 no.1
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    • pp.18-25
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    • 2008
  • In classical titrimetric analyses, the major concern is the concentration of titrant, usually the aqueous solution of hydrochloric acid or sodium hydroxide, that could be changed as time goes by and it is accompanied with the inaccuracy of the resulting data. And the statistical approach, the nonlinear regression analysis, which is a well-known statistical method, was introduced to determine the accurate concentration of the titrant and the exact value of parameters, $K_a$, r, $C_a$, $C_b$, for 0.01 M aqueous solutions of analytes, sodium pyruvate, sodium acetate, sodium bicarbonate, ammonium hydroxide, ammonium chloride and acetic acid at $25^{\circ}C$. We used Gauss-Newton method for the linearlization of the nonlinear titration system and the two-parameter fitting showed appreciable convergent data for the parameters of the analytes set with the various range of $K_a$ value.

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A Non-Oriented DEA Game Cross Efficiency Model for Supplier Selection (비방향 DEA 게임 교차효율성을 이용한 공급업체 선정방법)

  • Lim, Sungmook
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.38 no.2
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    • pp.108-119
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    • 2015
  • This study intends to propose a non-oriented DEA based game cross-efficiency approach for supplier selection. With a discussion on the choice of DEA models and approaches that are most appropriate for supplier selection, we propose a game cross efficiency model based upon the non-oriented variable returns-to-scale RAM DEA by adapting the existing game cross efficiency model based upon the oriented constant returns-to-scale CCR DEA. We develop the RAM game cross efficiency model and a convergent iterative solution procedure to find the best game cross efficiency scores that constitute a Nash equilibrium. We illustrate the proposed model with two data sets of supplier selection, and demonstrate that significantly different results are obtained when compared with the existing approaches.

Free vibration analysis of beams with various interfaces by using a modified matched interface and boundary method

  • Song, Zhiwei;Li, Wei;He, Xiaoqiao;Xie, De
    • Structural Engineering and Mechanics
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    • v.72 no.1
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    • pp.1-17
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    • 2019
  • This paper proposes a modified matched interface and boundary (MMIB) method to analyze the free vibration of beams with various interfaces caused by steps, intermediate rigid and elastic supports, intermediate concentrated masses and spring-mass systems, etc. A new strategy is developed to determine the parameters in the iterative computation of MMIB. The MMIB procedures are established to deal with boundary conditions and various interface conditions, which overcomes the shortcoming of the traditional MIB. A number of examples are utilized to illustrate the performance of MMIB method. Numerical results indicate that the MMIB method is a highly accurate and convergent approach for solving interface problems.

Optimizing structural topology patterns using regularization of Heaviside function

  • Lee, Dongkyu;Shin, Soomi
    • Structural Engineering and Mechanics
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    • v.55 no.6
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    • pp.1157-1176
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    • 2015
  • This study presents optimizing structural topology patterns using regularization of Heaviside function. The present method needs not filtering process to typical SIMP method. Using the penalty formulation of the SIMP approach, a topology optimization problem is formulated in co-operation, i.e., couple-signals, with design variable values of discrete elements and a regularized Heaviside step function. The regularization of discontinuous material distributions is a key scheme in order to improve the numerical problems of material topology optimization with 0 (void)-1 (solid) solutions. The weak forms of an equilibrium equation are expressed using a coupled regularized Heaviside function to evaluate sensitivity analysis. Numerical results show that the incorporation of the regularized Heaviside function and the SIMP leads to convergent solutions. This method is tested using several examples of a linear elastostatic structure. It demonstrates that improved optimal solutions can be obtained without the additional use of sensitivity filtering to improve the discontinuous 0-1 solutions, which have generally been used in material topology optimization problems.

Feasibility study of improved particle swarm optimization in kriging metamodel based structural model updating

  • Qin, Shiqiang;Hu, Jia;Zhou, Yun-Lai;Zhang, Yazhou;Kang, Juntao
    • Structural Engineering and Mechanics
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    • v.70 no.5
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    • pp.513-524
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    • 2019
  • This study proposed an improved particle swarm optimization (IPSO) method ensemble with kriging model for model updating. By introducing genetic algorithm (GA) and grouping strategy together with elite selection into standard particle optimization (PSO), the IPSO is obtained. Kriging metamodel serves for predicting the structural responses to avoid complex computation via finite element model. The combination of IPSO and kriging model shall provide more accurate searching results and obtain global optimal solution for model updating compared with the PSO, Simulate Annealing PSO (SimuAPSO), BreedPSO and PSOGA. A plane truss structure and ASCE Benchmark frame structure are adopted to verify the proposed approach. The results indicated that the hybrid of kriging model and IPSO could serve for model updating effectively and efficiently. The updating results further illustrated that IPSO can provide superior convergent solutions compared with PSO, SimuAPSO, BreedPSO and PSOGA.

How do learners discover the topic in team project-based learning?: Analysis of Learners' Creative Activity in the process of selecting the topic

  • Kim, Hyekyung;Kim, Insu
    • Educational Technology International
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    • v.14 no.2
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    • pp.167-187
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    • 2013
  • Team project learning is a type of Project-Based Learning, which is an effective learning method for developing collaborative competency and interpersonal communication skills, as well as for developing cognitive competency such as critical thinking, creative thinking, and analytical skills. This research, conducted to analyze learning activities, focuses on students' creative thinking and activities in TPBL(Team Project-Based Learning). A qualitative approach including a reflective journal based on the 6 stages of TPBL, was adopted for this purpose. In this study, 69 reflective journals on the three stages (developing a theme, researching, theme-making) of 23 undergraduate students were categorized on the basis of three criteria: divergent thinking factors, convergent thinking factors and affective factors. The results show that the participants' journals demonstrated twenty-eight activities from nine cognitive factors and nine activities from three affective factors were derived from reflect journal. This finding indicates that more appropriate instructional strategies are needed for students to enhance their creative thinking skills and activities

Mixed Mode Analysis using Two-step Extension Based VCCT in an Inclined Center Crack Repaired by Composite Patching (복합재료 팻칭에 의한 중앙경사균열에서 2단계 확장 가상균열닫힘법을 사용한 혼합모우드해석)

  • Ahn, Jae-Seok;Woo, Kwang-Sung
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.32 no.1A
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    • pp.11-18
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    • 2012
  • This paper deals with the numerical determination of the stress intensity factors of cracked aluminum plates under the mixed mode of $K_I$ and $K_{II}$ in glass-epoxy fiber reinforced composites. For the stress intensity factors, two different models are reviewed such as VCCT and two-step extension method. The p-convergent partial layerwise model is adopted to determine the fracture parameters in terms of energy release rates and stress intensity factors. The p-convergent approach is based on the concept of subparametric element. In assumed displacement field, strain-displacement relations and 3-D constitutive equations of a layer are obtained by combination of 2-D and 1-D higher-order shape functions. In the elements, Lobatto shape functions and Gauss-Lobatto technique are employed to interpolate displacement fields and to implement numerical quadrature. Using the models and techniques considered, effects of composite laminate configuration according to inclined angles and adhesive properties on the performance of bonded composite patch are investigated. In addition to these, the out-of-plane bending effect has been investigated across the thickness of patch repaired laminate plates due to the change of neutral axis. The present model provides accuracy and simplicity in terms of stress intensity factors, stress distribution, number of degrees of freedom, and energy release rates as compared with previous works in literatures.