• Korean Journal of Mathematics
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• 제7권2호
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• pp.207-213
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• 1999

In this paper we estimate a lower bound of the Banach-Mazur distance between a finite dimensional nonlocally convex space and its Banach envelope space by investigating the properties of the nonlocally convex space and the projection constant which are obtained by factoring the identity operator through $l^k_{\infty}$ on the quasi-normed spaces.

• Journal of Electrical Engineering and Technology
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• 제12권1호
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• pp.72-77
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• 2017

This paper proposes the explicit tuning rule of multi-loop PID controller for brushless direct current motors to predict the system behaviors in time and frequency domains, using properties of the convex combination method. The convex set of the proposed controllers formulates the envelope to satisfy the performances in time and frequency domains. The final control parameters are determined by solving the convex optimization problem subject to the constraints which are represented as convex set of time domain performances. The effectiveness of the proposed control method is shown in the numerical simulation, in which controller tuning algorithm and dynamics of brushless DC motor are well taken into account.

• 한국경영과학회지
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• 제22권3호
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• pp.11-22
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• 1997

The aim of this paper is to develop the B & B type algorithms for globally minimizing concave function under 0-1 knapsack constraint. The linear convex envelope underestimating the concave object function is introduced for the bounding operations which locate the vertices of the solution set. And the simplex containing the solution set is sequentially partitioned into the subsimplices over which the convex envelopes are calculated in the candidate problems. The adoption of cutting plane method enhances the efficiency of the algorithm. These mean valid inequalities with respect to the integer solution which eliminate the nonintegral points before the bounding operation. The implementations are effectively concretized in connection with the branching stategys.

• 한국융합학회논문지
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• 제7권5호
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• pp.213-219
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• 2016

본 논문에서는 한 개의 선형 제약식 하에서 의사결정변수가 상한 값을 갖는 오목 함수 최소화 문제를 다룬다. 제시된 분지 한계 해법은 단체를 분할 단위로 사용하였다. 오목함수를 가장 단단하게 하한추정하는 볼록덮개함수를 단체 상에서 유일하게 구할 수 있기 때문이다. 분지가 일어날 때마다 후보 단체로부터 1 차원 낮은 2 개의 하위 단체들이 생성된다. 이 때 후보 단체에 포함되어 있던 가능해 집합은 각각의 하위 단체로 분할된다. 한계 연산 절차는 선형인 볼록 덮개 함수를 목적 함수로 하는 선형계획법을 부문제로 정의하고 해를 구한다. 부문제의 최적 목적함수 값으로부터 최적 오목목적함수의 하한과 상한을 갱신하고, 원문제의 최적해를 포함하지 않는 단체들을 고려 대상에서 제외시킨다. 본 해법의 최대 장점은 하위 단체로 분할될수록 부문제들의 크기가 점점 작아진다는데 있다. 이것은 한계 연산의 계산량이 줄어든다는 것을 의미한다. 본 연구의 결과는 배낭 제약식 유형의 제약식 하에서의 오목 함수 최소화 문제의 해법을 개발하는데 응용될 수 있을 것이다.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2003년도 추계학술대회논문집
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• pp.60-65
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• 2003

In this study, for estimating responses of a controlled structure and determining the maximum control force of velocity-dependent damping devices, three estimation models such as Fourier envelope convex model, probability model, and Newmark design spectrum are used. For this purpose, a procedure proposed by Gupta (1990) for estimating spectral velocity using pseudo-spectral velocity which is given by the estimation models is used and modified to consider the effects of increased damping ratio by the damping device. Time history results indicate that Newmark design spectrum gives the best estimation of maximum control force for over all period structures.

• Wind and Structures
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• 제29권5호
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• pp.323-337
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• 2019

Wind tunnel testing technique has been established as a powerful experimental method for predicting wind-induced loads on high-rise buildings. Accurate assessment of the design wind load combinations for tall buildings on the basis of wind tunnel tests is an extremely important and complicated issue. The traditional design practice for determining wind load combinations relies partly on subjective judgments and lacks a systematic and reliable method of evaluating critical load cases. This paper presents a novel optimization-based framework for determining wind tunnel derived load cases for the structural design of wind sensitive tall buildings. The peak factor is used to predict the expected maximum resultant responses from the correlated three-dimensional wind loads measured at each wind angle. An optimized convex hull is further developed to serve as the design envelope in which the peak values of the resultant responses at any azimuth angle are enclosed to represent the critical wind load cases. Furthermore, the appropriate number of load cases used for design purposes can be predicted based on a set of Pareto solutions. One 30-story building example is used to illustrate the effectiveness and practical application of the proposed optimization-based technique for the evaluation of peak resultant wind-induced load cases.

• 한국소음진동공학회논문집
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• 제14권6호
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• pp.503-511
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• 2004

본 연구에서는 푸리에 모델, 확률 모델, 그리고 Newmark 설계 스펙트럼 방법과 같은 응답예측 모델을 사용하여 속도의존형 감쇠장치에 의해 제어되는 구조물의 응답과 제어기의 최대제어력을 예측하였다. 이를 위해, 유사 속도로부터 실제 속도를 예측하는 방법이 제안되었으며, 이 방법은 감쇠장치에 의해 증가되는 감쇠비의 실제속도에 대한 효과를 고려한다. 시간이력해석결과는 정확한 최대제어력을 예측하기 위해서는 실제속도가 사용되어야 하며, 제안된 방법에 의해 수정된 Newmark 설계 스펙트럼이 가장 전 주기구간에 걸쳐 정확한 예측 값을 산정함을 보여준다.