• Title/Summary/Keyword: 부등식

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A study of the Hydraulic & Hydrologic Causes on the Road Drainage Poor Site (노면배수 취약구간의 수리.수문 원인 분석)

  • Lee, Man-Seok;Lee, Kyung-Ha;Kang, Min-Soo;Kim, Heung-Rae
    • International Journal of Highway Engineering
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    • v.13 no.2
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    • pp.133-138
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    • 2011
  • This study aims to compare hydraulic & hydrologic design characteristics by examining generated on weak points for road drainage poor sites. More appropriated methodology of rainfall-intensity calculated is to consider minutely rainfall-intensity decision method for road drainage basins. To use non-uniform flow analysis methodology for road surface drainage facilities inlet spacing decision methods is better than present experience inlet spacing decision equations.

Output Feedback Robust $H^infty$ Control for Uncertain Fuzzy Dynamic Systems (불확실성을 갖는 퍼지 시스템의 출력궤환 견실 $H^infty$ 제어)

  • Lee, Kap-Lai;Kim, Jong-Hae;Park, Hong-Bae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.6
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    • pp.15-24
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    • 2000
  • This paper presents an output feedback robust H$\infty$ control problem for a class of uncertain nonlinear systems, which can be represented by an fuzzy dynamic model. The nonlinear system is represented by Takagi-Sugeno fuzzy model, and the control design is carried out on the basis of the fuzzy model. Using a single quadratic Lyapunov function, the globally exponential stability and disturance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust H$\infty$ controllers are given in terms of linear matrix inequalities(LMIs). Constructive algorithm for design of robust H$\infty$ controller is also developed. The resulting controller is nonlinear and automatically tuned based on fuzzy operation.

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Estimation of Mechanical Properties of Concrete in Early Age by Resonance Frequency Test (공명주기식 동탄성계수를 이용한 초기재령 콘크리트의 역학적 성질 예측)

  • Kim, Jin-Keun;Kiim, Hoon;Noh, Jae-Ho
    • Magazine of the Korea Concrete Institute
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    • v.7 no.5
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    • pp.164-171
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    • 1995
  • Drying shrinkage and hydration heat are important factors on the initiation of the crack in con crete at early age. Therefore, the stress caused by hydration heat and drying shrinkage should be .analyzed to predict whether the crack occurrs or not. And, mechanical properties of early age concrete is also required for the predicting crack formation In this study, non-destructive test method of resonance frequency was used to find the relation between dynamic modulus and mechanical properties of concrete in early age. Test results were compared with existing equations, and a new equation based on test. results in this study and other data was also proposed

Cracking Behavior of Concrete Box Culvert for Power Transmission Due to Drying Shrinkage (전력구 콘크리트 구조물의 건조수축 균열특성에 관한 연구)

  • Woo, Sang-Kyun;Chu, In-Yeop;Kim, Ki-Jung;Lee, Yun
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.20 no.1
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    • pp.1-8
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    • 2016
  • The purpose of this study is to predict the cracking behavior and suggest the method of controlling the cracking in concrete box culvert for power transmission due to differential drying shrinkage. Drying shrinkage cracking is mainly influenced by the moisture diffusion coefficient that determines moisture diffusion rate inside concrete structures. In addition to the diffusion coefficient, surface coefficient of concrete surface and relative humidity of ambient air simultaneously affect the moisture evaporation from concrete inside to external air outside. Within the framework of drying shrinkage cracking mechanism, it is necessary to perform the numerical analysis, which involves these three influencing factors to predict and control the shrinkage cracking of concrete. In this study, moisture diffusion and stress analysis cor responding to drying shrinkage on concrete box culvert are performed with consideration of diffusion coefficient, surface coefficient, and relative humidity of ambient air. From the numerical results, it is found that cracking behavior due to differential drying shrinkage of box culvert shows the different feature according to three influencing factors and the methodology of controlling of drying shrinkage cracks can be suggested from this study.

An analysis of changing interests in mathematics and strategic thinking reflected in small group drawing activities using graphs and inequations - With Grafeq software - (그래프와 부등식 영역의 소집단 그림그리기 활동에서 나타나는 수학에 대한 흥미변화 및 전략적 사고분석 -Grafeq 활용을 중심으로-)

  • Shin, In-Sun;Park, Kyung-Min
    • Communications of Mathematical Education
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    • v.26 no.2
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    • pp.177-203
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    • 2012
  • The purpose of this research was to look at whether small group drawing activities can be applied to learning content that combine mathematics and art, by analyzing the changes in $10^{th}$ grade students' interests in mathematics and particular features of their strategic thinking that were reflected in small group drawing activities using graphs and inequations. The results of the study are as follows: 1. The small group drawing activity using graphs and inequations demonstrated that students interests in mathematics could experience positive changes. 2. The small group drawing activity using graphs and inequations was effective in stimulating the students' strategic thinking skills, which are higher level thinking activities necessary for creating problem solving. As the students went through the whole process of accomplishing a complete goal, the students engaged in integrated thinking activities that brought understandings of basic graphs and inequations together, and were also found to use such higher level thinking functions needed in achieving creative problem solving such as critical thinking, flexible thinking, development-oriented thinking, and inferential thinking. 3. The small group drawing activity using graphs and in equations could be expected to constitute learning content that integrate mathematics and art, and is an effective solution in boosting students' strengths in mathematics by way of activities that consider students' unique cognitive and qualitative peculiarities and through integration with art.

Decoupled Optimal Load Flow (분할최적전력조류계산)

  • 양흥석;박영문;이봉용;백영식
    • 전기의세계
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    • v.28 no.10
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    • pp.35-40
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    • 1979
  • 최적전력조류계산 앨고리즘에서 분할최적전력조류계산 앨고리즘을 유도하였고, 주요점은 적정스텝의 결정과 부등식제약조건을 사용치 않은 점이다. 실규모계통에 지용하여 약0.5[%]의 비용절감을 달성하였는바, 이것은 년 약30억[원]에 해당되며, 겸하여 온라인운전의 가능성을 제시하였다.

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Robust $H_$ Control of Continuous and Discrete Time Descriptor Systems with Parameter Uncertainties (파라미터 불확실성을 가지는 연속/이산 특이시스템의 견실 $Η_2$ 제어)

  • 이종하;김종해;박홍배
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.40 no.4
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    • pp.251-263
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    • 2003
  • This paper presents matrix inequality conditions for Η$_2$control and Η$_2$controller design method of linear time-invariant descriptor systems with parameter uncertainties in continuous and discrete time cases, respectively. First, the necessary and sufficient condition for Η$_2$control and Η$_2$ controller design method are expressed in terms of LMI(linear matrix inequality) with no equality constraints in continuous time case. Next, the sufficient condition for Hi control and Η$_2$controller design method are proposed by matrix inequality approach in discrete time case. Based on these conditions, we develop the robust Η$_2$controller design method for parameter uncertain descriptor systems and give a numerical example in each case.

Development of Robust Intelligent Digital Controller for Smart Space (스마트 스페이스 구축을 위한 강인 지능형 디지털 제어기 개발)

  • Joo, Young-Hoon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.18 no.1
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    • pp.60-65
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    • 2008
  • In this paper, we concern the stability of smart space by using the robust digital controller. The proposed methodologies are based on the intelligent digital redesign (IDR). More precisely, we represent the nonlinear and uncertain analog system as the Takaki-Sugeno (T-S) fuzzy model. Then the IDR problem can be reduced to find the digital gains minimizing the norm distance between the closed-loop states of the analog and digital control. Its constructive conditions are expressed as the linear matrix inequalities (LMIs). At last, a numerical example, HVAC system, is demonstrated to visualize the feasibility of the proposed methodology.

Improved TI-FCM Clustering Algorithm in Big Data (빅데이터에서 개선된 TI-FCM 클러스터링 알고리즘)

  • Lee, Kwang-Kyug
    • Journal of IKEEE
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    • v.23 no.2
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    • pp.419-424
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    • 2019
  • The FCM algorithm finds the optimal solution through iterative optimization technique. In particular, there is a difference in execution time depending on the initial center of clustering, the location of noise, the location and number of crowded densities. However, this method gradually updates the center point, and the center of the initial cluster is shifted to one side. In this paper, we propose a TI-FCM(Triangular Inequality-Fuzzy C-Means) clustering algorithm that determines the cluster center density by maximizing the distance between clusters using triangular inequality. The proposed method is an effective method to converge to real clusters compared to FCM even in large data sets. Experiments show that execution time is reduced compared to existing FCM.

A Study of Robust Vibration Control for a Multi-Layer Structure (다층상구조물의 강인 진동제어에 관한 연구)

  • Kim, Chang-Hwa;Jung, Byung-Gun;Jung, Hae-Jong
    • Journal of Advanced Marine Engineering and Technology
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    • v.33 no.8
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    • pp.1212-1219
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    • 2009
  • In this paper, a state feedback gain controller using linear matrix inequality(LMI) for the multi-objective synthesis is designed, in the multi-layer structure with integral type servo system. The design objectives include $H_{\infty}$ performance, asymptotic disturbance rejection, time-domain constraints, on the closed-loop pole location. The results of computer simulation show the validity of the designed controller.