• Title/Summary/Keyword: Mathematical problem

Search Result 3,803, Processing Time 0.033 seconds

The design method research of the control system for Autonomous Underwater Vehicle (AUV) using Linear Matrix Inequality (LMI)

  • Nasuno, Youhei;Shimizu, Etsuro;Aoki, Taro;Yomamoto, Ikuo;Hyakudome, Tadahiro;Tsukioka, Satoshi;Yoshida, Hiroshi;Ishibashi, Shojiro;Ito, Masanori;Sasamoto, Ryoko
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 2005.06a
    • /
    • pp.1060-1065
    • /
    • 2005
  • An Independent Administrative Corporation Japan Agency for Marine-Earth Science and Technology (JAMSTEC) is developing light-and-small Autonomous Underwater Vehicles (AUV)$^{1)}$, named 'MR-X1' (Marine Robot Experimental 1), which can cruise, investigate and observe by itself without human's help. In this paper, we consider the motion control problem of 'MR-X1' and derive a controller. Since the dynamic property of 'MR-X1' is changed by the influence of the speed, the mathematical model of 'MR-X1' becomes the nonlinear model. In order to design a controller for 'MR-X1', we generally apply nonlinear control theories or linear control theories with some constant speed situation. If we design a controller by applying Linear Quadratic (LQ) optimal control theory, the obtained controller only compensates t e optimality at the designed speed situation, and does not compensate the stability at another speed situations. This paper proposes a controller design method using Linear Matrix Inequalities (LMIs)$^{2),3),4)}$, which can adapt the speed variation of 'MR-X1'. And examples of numerical analysis using our designed controller are shown.

  • PDF

Development of LED TV Panel Brightness Uniformity Correction System (LED TV 패널 밝기 균일화 보정 시스템 개발)

  • Park, Je Sung;Lee, Won Woo;Jian, Zhangye;Joo, Hyonam;Kim, Joon Seek
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.22 no.5
    • /
    • pp.382-388
    • /
    • 2016
  • When Flat Panel Display (FPD) is made with backlight module, such as LED TV, it inherently suffers from the non-uniform backlight luminance problem that results in un-even brightness distribution throughout the TV screen. If the luminance of each pixel location of a TV screen as a function of the driving voltage can be measured, it can be used to compensate the non-uniformity of the backlight module. We use a carefully calibrated imaging system to take pictures of a TV screen at different levels of brightness and generate the compensation functions for the driving circuitry to correct the luminance level at each pixel location. Making use of the fact that the luminance of the screen is normally brightest at around the center of the screen and gradually decreases toward the border of the screen, the luminance of the whole TV screen is approximated by a mathematical function of the pixel locations. The parameters of the function are computed in the least square sense by the values of both the pixel luminance sent from the driving circuit and the grayscale value measured from the image taken by the imaging system. To justify the correction system, a simple second order polynomial function is used to approximate the luminance across the screen. When the driving circuit voltage is corrected according to the measured function, the variance of the screen luminance is reduced to one tenth of the one measured from the un-corrected TV screen.

Implementation of Web-based Learning Tool using Skemp's Theory and Its applications to Multiplication and Division Operations in Elementary School Math Education (Skemp 이론을 적용한 웹기반 학습도구 구현 및 초등학교 수학 교육의 곱셈과 나눗셈 영역으로의 적용)

  • Song, Ui-Sung;Park, Eun-Kyeong;Park, So-Young;Gil, Joon-Min
    • Journal of The Korean Association of Information Education
    • /
    • v.14 no.4
    • /
    • pp.517-525
    • /
    • 2010
  • Because the existing Skemp's play activities learning has only been done on the offline, the hassles of learning paper production, the understanding of achievement levels, and the difficulty of feedback and compensation have been pointed out as a serious problem. Therefore, the aim of this study is to develop web-based learning tool applied the Skemp's play activities for elementary school students who learn mathematical skills easily in the web environment. To demonstrate the effectiveness of implemented web-based learning tool, we have analyzed questionnaire survey conducted for academic achievement of the third grade elementary school students. The analysis results show that for improving the ability of multiplication and division operation, the learning using web-based tool applied the Skemp's play activities is more effective than the learning based on the existing educational process and the result is statistically significant at the 5% significance level.

  • PDF

A Study of Hydrodynamic Forces Acting on a Ship Hull Under Lateral Low Speed Motion (저속 횡 이동하는 선박의 선체에 작용하는 유체력에 관한 연구)

  • 이윤석;김순갑
    • Journal of the Korean Institute of Navigation
    • /
    • v.23 no.2
    • /
    • pp.29-42
    • /
    • 1999
  • An accurate method of estimating ship maneuverability needs to be developed to evaluate precisely and improve the maneuverability of ships according to the water depth. In order to estimate maneuverability by a mathematical model. The hydrodynamic forces acting on a ship hull and the flow field around the ship in maneuvering motion need to be estimated. The ship speed new the berth is very low and the fluid flow around a ship hull is unsteady. So, the transient fluid motion should be considered to estimate the drag force acting on the ship hull. In the low speed and short time lateral motion, the vorticity is created by the body and grow up in the acceleration stage and the velocity induced by the vorticity affect to the body in deceleration stage. For this kind of problem, CFD is considered as a goof tool to understand the phenomena. In this paper, the 2D CFD code is used for basic consideration of the phenomena to solve the flow in the cross section of the ship considering the ship is slender and the water depth is large enough. The flow fields Added and hydrodynamic forces for the some prescribed motions are computed and compared with the preliminary experiment results. The comparison of the force with measurement is shown a fairly good agreement in tendency. The 3D Potential Calculation based on the Hess & Smith Theory is employed to predict the surge, sway added mass and yaw added moment of inertia of hydrodynamic coefficients for M/V ESSO OSAKA according to the water depth. The results are also compared with experimental data. Finally, the sway added mass of hydrodynamic coefficients for T/S HANNARA is suggested in each water depth.

  • PDF

Traffic Asymmetry Balancing in OFDMA-TDD Cellular Networks

  • Foutekova, Ellina;Sinanovic, Sinan;Haas, Harald
    • Journal of Communications and Networks
    • /
    • v.10 no.2
    • /
    • pp.137-147
    • /
    • 2008
  • This paper proposes a novel approach to interference avoidance via inter-cell relaying in cellular OFDMA-TDD (orthogonal frequency division multiple access - time division duplex) systems. The proposed scheme, termed asymmetry balancing, is targeted towards next-generation cellular wireless systems which are envisaged to have ad hoc and multi-hop capabilities. Asymmetry balancing resolves the detrimental base station (BS)-to-BS interference problem inherent to TDD networks by synchronizing the TDD switching points (SPs) across cells. In order to maintain the flexibility of TDD in serving the asymmetry demands of individual cells, inter-cell relaying is employed. Mobile stations (MSs) in a cell which has a shortage of uplink (UL) resources and spare downlink (DL) resources use free DL resources to off-load UL traffic to cooperating MSs in a neighboring cell using ad hoc communication. In an analogous fashion DL traffic can be balanced. The purpose of this paper is to introduce the asymmetry balancing concept by considering a seven-cell cluster and a single overloaded cell in the center. A mathematical model is developed to quantify the envisaged gains in using asymmetry balancing and is verified via Monte Carlo simulations. It is demonstrated that asymmetry balancing offers great flexibility in UL-DL resource allocation. In addition, results show that a spectral efficiency improvement of more than 100% can be obtained with respect to a case where the TDD SPs are adapted to the cell-specific demands.

Prediction of Carbonation Progress for Concrete Structures Considering Change of Atmospheric Environment (대기환경변화를 고려한 콘크리트 구조물의 중성화 예측)

  • Lee, Chang-Soo;Yoon, In-Seok
    • Journal of the Korea Concrete Institute
    • /
    • v.15 no.4
    • /
    • pp.574-584
    • /
    • 2003
  • The most common deterioration cause of concrete structures in urban environment is carbonation. Recently, the $CO_2$ concentration and temperature at atmosphere is sharply increased with time due to global warming phenomena. In this study, the climate scenario IS92a, which was suggested by the IPCC, is used to consider temperature and atmospheric $CO_2$ concentration change in the model of service life prediction. The modified mathematical solution, which was based on the Fick's 1st law of diffusion, was used to reflect concrete materials properties such as the degree of hydration of concrete with elapsed time, and important parameters, which associated with deterioration rate. The techniques of service life prediction are developed introducing the method of reliability and stochastic concept to consider microclimatic condition in Seoul, South Korea. From the result of service life prediction, concrete containing high W/C ratio is shown fast carbonation rate due to $CO_2$ concentration increase. It is concluded that the deterioration of concrete structures due to carbonation is insignificant problem on the conditions that below W/C 55%, well curing concrete.

Implementation and Analysis of Performance Estimation Model of H.264/AVC Baseline Profile Decoder (H.264/AVC Baseline Profile Decoder의 성능 예측 모델의 구현과 분석)

  • Moon, Kyoung-Hwan;Song, Yong-Ho
    • Journal of the Institute of Electronics Engineers of Korea CI
    • /
    • v.44 no.3
    • /
    • pp.108-123
    • /
    • 2007
  • As H.264/AVC standard has proven to be a key technology of multimedia application, many researches to improve H.264/AVC standard are actively conducted. Those researches are conducted in various ways such as algorithm analysis and improvement or structure enhancement for reducing bottlenecks of performance. Even though targets and directions of those studies are not the same, performance of H.264/AVC standard is commonly analyzed in the early phase. In analysis phase, potential problems with H.264/AVC standard are identified and the most critical problem which has serious effects on performance is determined. Therefore, analysis phase is one of the important steps to decide overall directions and targets of the research. This research proposes a mathematical model which can be used in the early performance analysis phase to estimate performance in conducting research of improving the performance of H.264/AVC Baseline Profile decoder. The proposed model is designed by considering many variables of H.264/AVC decoder operation so that it is easy to predict its performance according to changes in each element.

A Deep Learning-Based Face Mesh Data Denoising System (딥 러닝 기반 얼굴 메쉬 데이터 디노이징 시스템)

  • Roh, Jihyun;Im, Hyeonseung;Kim, Jongmin
    • Journal of IKEEE
    • /
    • v.23 no.4
    • /
    • pp.1250-1256
    • /
    • 2019
  • Although one can easily generate real-world 3D mesh data using a 3D printer or a depth camera, the generated data inevitably includes unnecessary noise. Therefore, mesh denoising is essential to obtain intact 3D mesh data. However, conventional mathematical denoising methods require preprocessing and often eliminate some important features of the 3D mesh. To address this problem, this paper proposes a deep learning based 3D mesh denoising method. Specifically, we propose a convolution-based autoencoder model consisting of an encoder and a decoder. The convolution operation applied to the mesh data performs denoising considering the relationship between each vertex constituting the mesh data and the surrounding vertices. When the convolution is completed, a sampling operation is performed to improve the learning speed. Experimental results show that the proposed autoencoder model produces faster and higher quality denoised data than the conventional methods.

A Study of Theoretical Method and Application to Laboratory Tests for Three-dimensional Transient Seepage Analysis (삼차원(三次元) 침투류해석(浸透流解析)을 위한 이론적(理論的) 방법(方法)과 실험적용예(實驗適用例)에 관(關)한 고찰(考察))

  • Jin, Byung Ik;Kim, Jae Hong
    • KSCE Journal of Civil and Environmental Engineering Research
    • /
    • v.4 no.2
    • /
    • pp.13-24
    • /
    • 1984
  • The main part of this thesis deals with a three-dimensional transient seepage flow, discussing its fundamental conception into Which the mathematical analysis was introduced based upon the finite element method, propriety of geometrical analysis and flow movement of seepage water. As is commented in the body of the report, the saturated-unsaturated method with respect to the free water surface method is revealed to have the relative merits and demerits. Generally, the unknown sections in the form of free water surface matters in case that tunnels or pores appear. On the other hand, the applicable range is quite large and variable to the methods accordingly. Also, an example as to the seepage analysis in the rock bed section is described. An unfavorable time-consuming problem is inevitale because the complicated and widely multifarious joints and faults are responsible for the intensity of seepage flow.

  • PDF

Study on Difference in Elementary School Students' Mathematics Academic Achievement by Gender and Residential Area (초등학교 수학 학업성적에서의 성별 거주지역별 차이)

  • Lee, Soon Joo
    • Education of Primary School Mathematics
    • /
    • v.15 no.3
    • /
    • pp.177-187
    • /
    • 2012
  • The purpose of this study was to analysis the gender differences in the academic achievement and the difference of academic achievement by the residential area in elementary school. Common phenomenon was observed in the result of the differences between male and female students' academic achievement and the ratio of achievement level. Female students' score was higher in 3rd grade elementary school but in 4th and 5the grade this phenomenon was gradually weakened. The following are the results of analysis of elementary school students' mathematics academic achievement in three areas(big city, small city and rural area). In the result was proved that the problem of the gap between the urban and rural areas has continued in the 21st century.