• 제목/요약/키워드: Problem of synthesis

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분석과 종합문제의 분류 기준에 대한 연구 -러시아 구세프의 수학교과서를 중심으로- (A study on the classification standards of the problem of analysis and synthesis)

  • 권영인;서보억
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제20권2호
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    • pp.231-248
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    • 2006
  • 수학적인 사고에는 여러가지 유형이 있는데 그 중에서 가장 기본이 되는 사고유형이 분석과 종합이다. 이러한 사고유형을 담고 있는 분석과 종합문제는 수학문제의 가장 중요한 근간이라고 할 수 있다. 이러한 분석과 종합문제에 대한 체계적인 분석과 구체적인 논의를 위해 러시아의 구세프 교수가 편찬한 수학교과서를 중심으로 이러한 두 가지 유형의 문제에 대한 분석을 실시한다. 또한, 역사적으로 제시되어진 분석과 종합에 대한 다양한 문헌연구를 통해 두 가지 사고유형의 분류에 대한 기본적인 기준을 설정하고, 이를 바탕으로 분석문제와 종합문제에 대한 구체적인 분류기준을 제시하고자 한다.

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종합평면을 사용한 면적 최적화에 관한 연구 (A Study on the area minimization using general floorplan)

  • 이용희;정상범이천희
    • 대한전자공학회:학술대회논문집
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    • 대한전자공학회 1998년도 추계종합학술대회 논문집
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    • pp.1021-1024
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    • 1998
  • Computer-aided design of VLSI circuits is usually carried out in three synthesis steps; high-level synthesis, logic synthesis and layout synthesis. Each synthesis step is further kroken into a few optimization problems. In this paper we study the area minimization problem in floorplanning(also known as the floorplan sizing problem). We propose the area minimization algorithms for general floorplans.

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혼합 $H_2/H_{$\infty}$$\mu$-설계이론을 이용한 3관성 문제의 해법 (Mixed $H_2/H_{$\infty}$ and $\mu$-synthesis Approach to the Coupled Three-Inertia Problem)

  • 최연욱
    • 제어로봇시스템학회논문지
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    • 제7권11호
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    • pp.896-903
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    • 2001
  • This study investigates the use of mixed $H_2/H_{$\infty}$ and $\mu$-synthesis to construct a robust controller for the benchmark problem. The model treated in the problem is a coupled three-inertial system that reflects the dynamics of mechanical vibrations. This kind of problem requires to be satisfied the robust performance (both in the time and frequency-domain specifications). We, first, adopt the mixed $H_2/H_{$\infty}$ theory to design a feedback controller K(s). Next, $\mu$-synthesis method is applied to the overall system to make use of structured parametric uncertainty. This process permits higher levels of controller authority and reduces the conservativeness of the controller. Finally, the feedforward controller is also used to improve the transient response of the output. We confirm that all design specifications except a complementary sensitivity condition can be achieved.

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Array pattern synthesis using semidefinite programming and a bisection method

  • Lee, Jong-Ho;Choi, Jeongsik;Lee, Woong-Hee;Song, Jiho
    • ETRI Journal
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    • 제41권5호
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    • pp.619-625
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    • 2019
  • In this paper, we propose an array pattern synthesis scheme using semidefinite programming (SDP) under array excitation power constraints. When an array pattern synthesis problem is formulated as an SDP problem, it is known that an additional rank-one constraint is generated inevitably and relaxed via semidefinite relaxation. If the solution to the relaxed SDP problem is not of rank one, then conventional SDP-based array pattern synthesis approaches fail to obtain optimal solutions because the additional rank-one constraint is not handled appropriately. To overcome this drawback, we adopted a bisection technique combined with a penalty function method. Numerical applications are presented to demonstrate the validity of the proposed scheme.

구분모드합성법과 부분구조합성법의 비교 (Comparison of Component Mode Synthesis and Substructure Synthesis Methods)

  • 곽문규;나성수;배병찬
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2006년도 춘계학술대회논문집
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    • pp.1348-1353
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    • 2006
  • This paper is concerned with the comparison of component mode synthesis md substructure synthesis methods. Those two methods were developed for the dynamic analysis of complex structure. However, the difference between two methods in solving the dynamic problem has never been explained. In this paper, a structure consisting of two beams is considered for the application of two methods. The dynamic formulation shows the characteristics and differences of two methods. The procedure for choosing proper substructure modes in each method is explained in detail. In addition, the advantage of the substructure synthesis method is discussed based on the numerical example. Numerical examples show how two methods are applied to the addressed problem.

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4절 기구의 3 위치 합성을 위한 구동 크랭크 고정점 영역상에서의 분기문제 해결 (Elimination of Branch Problem in Driving Crank Center point Plane for 3 Position Synthesis of 4 bar Mechanism)

  • 범진환;김학렬
    • 한국정밀공학회지
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    • 제12권6호
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    • pp.80-86
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    • 1995
  • A method of eliminating the branch problem in driving crank center point plane for 3 position synthesis of 4 bar mechanism is introduced. By studying various transformation characteristics from the circle point plane into the center poi t plane, the curves in the center point plane transformed from the filemon line in circle point plane are analytically obtained, which will seperate the whole center point plane into many sub-areas for the selec- tion of the center point of the driving crank. And a simple method to identify which of the sub-areas will cause the branch problem is also presented. The method will allow the selection of the center point of driving crank without the branch problem.

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전역좌표계에 근거한 부분구조합성법과 국부좌표계에 근거한 부분구조합성법의 비교 (Comparison of Substructure Synthesis Methods based on Global and Local Coordinates)

  • 곽문규;나성수;배병찬
    • 한국소음진동공학회논문집
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    • 제16권7호
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    • pp.712-719
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    • 2006
  • This paper is concerned with the comparison of substructure synthesis methods based on global and local coordinates. The substructure synthesis methods based on the global coordinates were first proposed for the dynamic analysis of complex structure and the substructure synthesis method based on the local coordinates was proposed to solve the dynamic problem of tree-like structure. However, the conceptual difference between two methods in solving the dynamic problem has never been explained. In this paper, a structure consisting of two beams is considered to show the conceptual difference of two methods. The dynamic formulation shows the characteristics and differences of two methods explicitly. The procedure for choosing proper substructure modes in each method is also explained in detail. In addition, the advantage of the substructure synthesis method based on the local coordinate system is discussed based on the numerical example. Numerical examples show how two methods are applied to the addressed problem.

혼합 H$_2$H$\infty$$\mu$-이론을 이용한 벤치마크 문제의 해법 (Mixed H$_2$H$\infty$and $\mu$-synthesis Approach to Coupled Three-Inertia Benchmark Problem)

  • 최연욱
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2000년도 제15차 학술회의논문집
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    • pp.22-22
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    • 2000
  • This study investigates the use of mixed $H_2/H_{\infty}$ and $\mu$-synthesis to construct a robust controller for the benchmark problem. The model treated in the problem is a coupled three-inertia system which reflects the dynamics of mechanical vibrations. We, first adopt the mixed $H_2/H_{\infty}$ the to design a feedback controller K(s). Next, $\mu$-synthesis method is applied to the overall system to make use of structured parametric uncertainty.

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TLU형 FPGA를 위한 순차회로 기술 매핑 알고리즘 (Technology Mapping of Sequential Logic for TLU-Type FPGAs)

  • 박장현;김보관
    • 한국정보처리학회논문지
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    • 제3권3호
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    • pp.564-571
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    • 1996
  • 본 논문에서는 새로운 ASIC 구조로 최근에 관심을 모으고 있는 TLU형 FPGA를 위한 순차회로 기술 매핑에 관한 것이다. 본 고에서 제안하는 TLU형 FPGA를 위한 순차회로 기술 매핑방법은 먼저 6개 또는 7개의입력을가지는 조합 및 순차 노드에대해서 전처리 기를 사용하여 한 출력 CLB에매핑하고, 매핑안된나머지 중 순차회로합병 조건에 만족 하는 6개 혹은 7개 입력 변수를 갖는 노드부터 CLB에 매핑한다. 본 고에서 제안한 순차 회로 기술 매핑 방법이 간단하면서 만족스런 수행 시간과 결과를 얻었다. 여러개의 벤치마크 화로를 sis-pga(map_together 및 map_scparate)순차회로 합성 시스템과 비교 하였으며, 실험결과는 본 시스템이 sis-pga 보다 17% 이상 성능이 좋다는 결과를 보여 주고 있다.

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모드합성법을 이용한 공작기계구조물의 동적 거동 해석 (Dynamic Analysis of Machine Tool Structure by Mode Synthesis Method)

  • 이영우;성활경
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 춘계학술대회 논문집
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    • pp.261-265
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    • 2002
  • In the machining tool avoid vibration problem have an effect on high precision as well as statical and thermal characteristics. Therefore overcome this problem is essential to advance of machine tool and machining skill. Even though vibration arises owing to a variety of causes, in this paper vibration analysis of column as a major part of machine tool structures is presented. At this procedure vibration analysis applied to mode synthesis method using a attachment mode .

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