• Title/Summary/Keyword: 쌍선형 변환

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Robust Intelligent Digital Redesign of Nonlinear System with Parametric Uncertainties (불확실성을 갖는 비선형 시스템의 강인한 지능형 디지털 재설계)

  • Sung, Hwa-Chang;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.16 no.2
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    • pp.138-143
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    • 2006
  • This paper presents intelligent digital redesign method for hybrid state space fuzzy-model-based controllers. For effectiveness and stabilization of continuous-time uncertain nonlinear systems under discrete-time controller, Takagi-Sugeno(TS) fuzzy model is used to represent the complex system. And global approach design problems viewed as a convex optimization problem that we minimize the error of the norm bounds between nonlinearly interpolated linear operators to be matched. Also, by using the bilinear and inverse bilinear approximation method, we analyzed nonlinear system's uncertain parts more precisely. When a sampling period is sufficiently small, the conversion of a continuous-time structured uncertain nonlinear system to an equivalent discrete-time system have proper reason. Sufficiently conditions for the global state-matching of the digitally controlled system are formulated in terms of linear matrix inequalities (LMIs). Finally, a TS fuzzy model for the chaotic Lorentz system is used as an . example to guarantee the stability and effectiveness of the proposed method.

Design of Continuous-Time System Using Bilinear Transformation (쌍선형 변환에 의한 연속 시간계의 설계)

  • Kim, Sang-Bong;An, Hwi-Ung
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.25 no.3
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    • pp.137-142
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    • 1989
  • A pole assignment problem in a specified region is solved using a bilinear transformation method. It is well known that the problem designing discrete-time system or vice versa is called redesign problem, But there is not so much study that is cyclic type of design, i.e. from continuous system to discrete system and from the latter to the former system. In this paper, the cyclic type of design for the continuous-time system is proposed using the bilinear transformation. In the view of a pole assignment method with poles in a specified region, it will be possible to design a regulator or a servo system considering damping ratio, stability degree and band with which are resulted to the characteristics of the closed-loop system.

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Registration between High-resolution Optical and SAR Images Using linear Features (선형정보를 이용한 고해상도 광학영상과 SAR 영상 간 기하보정)

  • Han, You-Kyung;Kim, Duk-Jin;Kim, Yong-Il
    • Korean Journal of Remote Sensing
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    • v.27 no.2
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    • pp.141-150
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    • 2011
  • Precise image-to-image registration is required to process multi-sensor data together. The purpose of this paper is to develop an algorithm that register between high-resolution optical and SAR images using linear features. As a pre-processing step, initial alignment was fulfilled using manually selected tie points to remove any dislocations caused by scale difference, rotation, and translation of images. Canny edge operator was applied to both images to extract linear features. These features were used to design a cost function that finds matching points based on their similarity. Outliers having larger geometric differences than general matching points were eliminated. The remaining points were used to construct a new transformation model, which was combined the piecewise linear function with the global affine transformation, and applied to increase the accuracy of geometric correction.

Design of Servo Control System Using Bilinear Transformation Approach (쌍선형 변환법을 이용한 서어보 제어계 설계)

  • Kim, Sang-Bong;An, Hwi-Ung;Ji, Seok-Geun
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.26 no.1
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    • pp.81-87
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    • 1990
  • In this paper, a new design method in which transient response behavior of a servo~system can be improved, is proposed using a bilinear transformation method which assigns the poles of the closed-loop system in a specified region. The servo-system is a dynamic system which follows the given reference input automatically. In the above meaning, the design of a servo-system is similar to a regulator design problem for the extended system which is resulted from the given system and the reference input by the well known internal moel principle. In the design problem of servo control system, it is supposed that the proposed design method has more practical meaning in comparison to the other design methods, in the views of assigning the characteristic roots of the closed loop system in a specified region satisfying a design specification for the given transient response rather than in the exact positions of the poles. The applicability of the design method proposed in this paper was proved by the simulation results for the angle control problem of an electrical servo mechanism.

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Image Registration of Drone Images through Association Analysis of Linear Features (선형정보의 연관분석을 통한 드론영상의 영상등록)

  • Choi, Han Seung;Kim, Eui Myoung
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.35 no.6
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    • pp.441-452
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    • 2017
  • Drones are increasingly being used to investigate disaster damage because they can quickly capture images in the air. It is necessary to extract the damaged area by registering the drones and the existing ortho-images in order to investigate the disaster damage. In this process, we might be faced the problem of registering two images with different time and spatial resolution. In order to solve this problem, we propose a new methodology that performs initial image transformation using line pairs extracted from images and association matrix, and final registration of images using linear features to refine the initial transformed result. The applicability of the newly proposed methodology in this study was evaluated through experiments using artifacts and the natural terrain areas. Experimental results showed that the root mean square error of artifacts and the natural terrain was 1.29 pixels and 4.12 pixels, respectively, and relatively high accuracy was obtained in the region with artifacts extracted a lot of linear information.

Feature-based Image Mosaicing With Rotation and Scale Change (영상의 회전과 크기를 고려한 특징기반 영상 모자이킹)

  • 고종호;이칠우
    • Proceedings of the Korea Multimedia Society Conference
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    • 2000.04a
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    • pp.157-160
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    • 2000
  • 본 논문은 제약되지않은 카메라에서 얻은 영상중 회전과 크기 변화를 가진 두 장의 디지털 영상을 자동적으로 하나의 통합된 영상으로 모자이킹 하는 방법에 대해 기술한다. 기존에 제시되었던 영상 모자이킹 방법은 영상의 중첩 영역이 많이 존재하거나 회전이 거의 없는 경우만을 고려하고, 카메라 제약이 많이 존재하였다. 우선, 한 쌍의 영상으로부터 각각 특징점을 찾고, 각 특징 점에 대하여 위상을 측정하여 계층적으로 매칭을 하는 방법을 제안한다. 다음으로 비선형 이승오차 최적화 알고리즘을 이용해 최적의 변환행렬을 구한후 , 변환 행렬에 대해 하나의 영상을 만들어내는 과정을 기술한다.

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Oversampled Sigma-Delta A/D Converters Designed by Bilinear Transform (쌍선형 변환에 의한 과표본화율의 시그마-델타 A/D 변환율)

  • Park, Chong-Yeun
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.27 no.5
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    • pp.808-815
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    • 1990
  • This paper treats with the design method for the single loop oversampled Sigma-Delta A/D converter with one delay and the digital integrator. Such an integrator was kgenerated by means of the bilinear transform of the analog integrator. The frequency spectrums of the quantizer and the decimator output signal are evaluated by FFT respectively. With the performance evaluation system, the values of SNR are obtained versus the input sinusoidal signal amplitude, frequency, the oversampling ratio, the DC-input level, the loop gain and the limitting value of the integrator. As compared with existing results, values of SNR versus the input signal amplitude and the oversampling ratio for the suggested system are about 6dB higher then previously reported results respectively. Furthermore, this approach achieves an about 60dB input dynamic range.

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Effects of the decorrelation and the noise on the coincidence detection in a optical system with entangled photons (얽힘상태 광을 이용한 광학계에서 광손실 및 잡음이 동시계수에 미치는 영향)

  • 김헌오;고정훈;김태수
    • Proceedings of the Optical Society of Korea Conference
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    • 2001.02a
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    • pp.246-247
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    • 2001
  • 짧은 파장의 레이저 빔이 비선형 결정에 입사할 때 긴 파장의 두 광으로 자발적으로 변환하는 매개 하향변환(parametric down-convension; PDC)과정을 통해서 양자적 상관관계를 갖는 광원을 얻을 수 있다. PDC 과정은 에너지 보존 (w$_{p}$ = w$_{s}$ + w$_{i}$)과 운동량 보존 (k$_{p}$ = k$_{s}$ + k$_{i}$)에 해당하는, 위상조화 (phase matching) 조건이 잘 만족할 때 효과적으로 일어난다. PDC에서 광자들이 아주 짧은 시간에 쌍으로 발생한다는 것과 이러한 광자쌍을 동시에 측정하는(coincidence count; 동시계수) 방법을 이용하면 효과적으로 신호와 잡음을 분리해 낼수 있고, 배경(background)이나 잡음(noise)보다 미약한 신호를 통해서도 정보를 전달할 수 있는 가능성을 제공해준다. (중략)

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선형 대수의 가르침에 고려하여야 할 사항에 관한 연구

  • Choe, Yeong-Han
    • Communications of Mathematical Education
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    • v.18 no.2 s.19
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    • pp.93-108
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    • 2004
  • Wassily Leontief가 미국 경제의 모델에 선형 대수를 적용한 이론으로 1973년에 노벨 경제학상을 받은 후로는 인문${\cdot}$사회 과학(특히 상경(商經) 분야)을 전공하는 사람에게도 선형 대수는 큰 관심 분야가 되었다. 그래서 1980년대 부터는 대학의 기초 과목으로써 선형 대수를 가르치는 것은 유행처럼 퍼졌고 또 가르침에 관한 연구도 활발하여졌다. 현행 우리나라의 초${\cdot}$${\cdot}$고등 학교의 수학과 교육과정(이른바 “제 7차 개정”) 속에는 선형대수의 내용이 어느 정도 있으나 학생들에게 확실한 개념을 갖도록 가르치고 있지 않다. 수직선, 순서 쌍, n-겹수, 직교 좌표, 벡터 등 해석기하적인 내용과 선형 방정식계의 풀이법(가우스${\cdot}$조르단 소거법을 쓰지 않는 풀이법) 등 일반 대수적인 내용은 다루지만 선형 변환, 벡터 공간의 구조 등은 다루지 않는다. m${\sim}$n 행렬은 수학II에 나와 있긴 하나 소개하는 정도에 그친다. 한편 과학 계열 고등학교 학생을 위한 "고급 수학"에는 비교적 많은 양의 선형 대수의 내용이 있다. 일반 계열 고등학교의 수학에서도 선형 대수의 내용을 확장하고 학생들에게 확실한 개념을 갖도록 가르쳐서 이들이 대학에 진학하여 전공 분야에서 아무 어려움이 없도록 하는 것이 바람직하다.

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Automatic Registration Between KOMPSAT-2 and TerraSAR-X Images (KOMPSAT-2 영상과 TerraSAR-X 영상 간 자동기하보정)

  • Han, You-Kyung;Byun, Young-Gi;Chae, Tae-Byeong;Kim, Yong-Il
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.29 no.6
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    • pp.667-675
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    • 2011
  • In this paper, we propose an automatic image-to-image registration between high resolution multi-sensor images. To do this, TerraSAR-X image was shifted according to the initial translation differences of the x and y directions between images estimated using Mutual Information method. After that, the Canny edge operator was applied to both images to extract linear features. These features were used to design a cost function that finds matching points based on the similarities of their locations and gradient orientations. For extracting large number of evenly distributed matching points, only one point within each regular grid constructed throughout the image was extracted to the final matching point pair. The model, which combined the piecewise linear function with the global affine transformation, was applied to increase the accuracy of the geometric correction, and the proposed method showed RMSE lower than 5m in all study sites.