• Title/Summary/Keyword: Bilinear Method

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Composite Control for Weakly Coupled Bilinear Systems with Successive Galerkin Approximation (연속적 Galerkin 근사를 이용한 정규 섭동 쌍일차 시스템에 대한 합성 제어)

  • Kim, Young-Joong;Kim, Beom-Soo;Lim, Myo-Taeg
    • Proceedings of the KIEE Conference
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    • 2001.07d
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    • pp.1996-1998
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    • 2001
  • This paper presents the closed-loop composite control for weakly coupled bilinear systems with a quadratic performance criterion. The Riccati equation for weakly coupled bilinear system is decomposed into three reduced Riccati equations by the weak coupling theory, and we obtain optimal solutions of each reduced Riccati equation using successive Galerkin approximation(SGA). We design the composite control law that consists of optimal solutions of each reduced Riccati equation. The proposed algorithm reduces the disadvantages of SGA method.

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Bilinear System Analysis using Triangular orthogonal Functions (삼각함수를 이용한 쌍일차 시스템의 상태 해석)

  • Cho, Young-Ho;Shim, Jae-Sun
    • Proceedings of the KIEE Conference
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    • 2007.10a
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    • pp.267-268
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    • 2007
  • This paper presents the new algebraic iterative algorithm of the bilinear system analysis using triangular orthogonal functions(TR) and the Picard's method. TR representation does not need any integration to evaluate the coefficients, thereby reducing a lot of computational burden. the proposed algorithm is more accuracy than BPF's. it is verified through simulation.

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Image Magnification using Fuzzy Method for Ultrasound Image of Abdominal Muscles (복부 초음파 영상에서의 퍼지 기법을 이용한 영상 확대)

  • Kim, Kwang-Baek;Lee, Hae-Jung
    • Journal of the Korea Society of Computer and Information
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    • v.16 no.4
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    • pp.23-28
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    • 2011
  • Ultrasound images for the abdominal muscles are complicated enough to have difficulty in interpreting their results. For better interpretation, magnifying the original image is necessary but its magnified image could be deteriorated and suffer from information loss. Thus, in this paper, we propose a magnifying method that reduces the gap between the original image and the magnified one in quality using a fuzzy method with weights for its brightness and interpolation. The proposed method extracts information of pixels in magnified image that have most similar characteristics of the original one by applying fuzzy membership function. In the process, the difference in the brightness between pixels of the magnified image and the original one using bilinear interpolation method and the weight value using the interpolation from multiplied values of four pixels are supplied to the fuzzy membership function. In this experiment, the proposed method reduces the cloudy phenomenon appears commonly compared to the bilinear interpolation method among those qualitative issues of image interpretation.

Dual-Limit Cycle Oscillation of 2D Typical Section Model considering Structural Nonlinearities (구조 비선형을 고려한 이차원 단면 날개 모델의 이중 제한 주기 운동)

  • Shin, Won-Ho;Bae, Jae-Sung;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.5
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    • pp.28-33
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    • 2005
  • Nonlinear aeroelastic characteristics of a two dimensional typical section model with bilinear plunge spring are investigated. Doublet-point method(DPM) is used for the calculation of supersonic unsteady aerodynamic forces which are approximated by using the minimum-state approximation. For nonlinear flutter analysis structural nonlinearity is represented by an asymmetric bilinear spring and is linearized by using the describing function method. The linear and nonlinear flutter analyses indicate that the flutter characteristics are significantly dependent on the frequency ratio. From the nonlinear flutter analysis, various types of limit cycle oscillations are observed in a wide range of air speeds below or above the linear flutter boundary. The nonlinear flutter characteristics and the nonlinear aeroelastic responses are investigated.

A Study on the Analysis of Bilinear Systems via Fast Walsh Transform (고속 월쉬 변환을 이용한 쌍일차계의 해석에 관한 연구)

  • 김태훈;심재선
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.16 no.1
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    • pp.85-91
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    • 2002
  • Generally when the orthogonal functions are used in system analysis, the time consuming processes of high order matrix inversion for finding the Kronecker products and the truncation errors are occurred. In this paper, a method for the system analysis of bilinear systems via fast walsh transform is devised. This method requires neither the inversion of large matrices nor the cumbersome procedures for finding Kronecker products. Thus, both the computing time and required memory size can be significantly reduced.

Low Complexity Hybrid Interpolation Algorithm using Weighted Edge Detector (가중치 윤곽선 검출기를 이용한 저 복잡도 하이브리드 보간 알고리듬)

  • Kwon, Hyeok-Jin;Jeon, Gwang-Gil;Jeong, Je-Chang
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.3C
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    • pp.241-248
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    • 2007
  • In predictive image coding, a LS (Least Squares)-based adaptive predictor is an efficient method to improve image edge predictions. This paper proposes a hybrid interpolation with weighted edge detector. A hybrid approach of switching between bilinear interpolation and EDI (Edge-Directed Interpolation) is proposed in order to reduce the overall computational complexity The objective and subjective quality is also similar to the bilinear interpolation and EDI. Experimental results demonstrate that this hybrid interpolation method that utilizes a weighted edge detector can achieve reduction in complexity with minimal degradation in the interpolation results.

The Free Edge Stress Singularity At An Interface of Bilinear Material Structure (탄성 선형 경화 재료로 구성된 복합 구조물의 자유 경계면에서 나타나는 응력특이도)

  • 정철섭
    • Computational Structural Engineering
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    • v.10 no.3
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    • pp.185-193
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    • 1997
  • The order of the stress singularity that occurs at the termination of an interface between materials exhibiting bilinear stress-strain response under plane strain conditions has been calculated, The governing equation of elasticity together with traction-free boundary condition and interface continuity condition defines a two-point boundary value problem. The stress components near the free edge are assumed to be proportional to r/sup s-1/, with solutions existing only for certain values of s. Finding these values entails the solution of an eigenvalue problem. Because it has been impossible to integrate the differential equations analytically, the integration has been performed numerically with a shooting method coupled with a Newton improvement scheme.

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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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A Temperature Control of Thermal Power Plant Superheater System using Iterative Method (반복적 방법을 이용한 화력발전소 과열기 시스템의 온도제어)

  • Sang-Hyuk Lee;Ju-Sik Kim
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.13 no.4
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    • pp.47-55
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    • 1999
  • In this paper, we construct the controller for the heat exchanger system using iterative method. For awlying the linear quadratic control theory to the heat exchanger system which is represented by the bilinear system, we fomrulate the bilinear system to execute iteration We also propose Extended Kalman Filter to estimate bilinear system state for the purpose of state feedback controller design. We also awly the iterative controller to the thennal power plant superheater system temperature control, and computer simulation show that the estimated value follows the superheater steam temperature under the variation of the external inputs, and that the output steam temperature is properly maintained.tained.

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Finding Declinations Using Lookup Tables and Bilinear Interpolation in the Application of Digital Magnetic Compass

  • Yim, Jeong-Bin;Kim, Dae-Hee
    • Journal of Navigation and Port Research
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    • v.36 no.9
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    • pp.699-706
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    • 2012
  • This paper describes Declination interpolation method in the application of Digital Magnetic Compass(DMC) with small capacity memory for relatively low-priced system. The purpose of this study is to find accurate declination values using Declination Lookup Table(DLT) and Secular Variation Table(SVT) with the Bilinear interpolation method having four points data only. World Magnetic Model with Gauss coefficients produced by NOAA is used in the calculation of DLT and SVT at desired years. To verify the applicability of the proposed method, the simulation tests and the error analysis are carried out in this work. As results from tests, the interpolation error is within 0.01 degree that is much enough to implement high accurate DMC comparing with commercial DMCs on the market. In summary, the declination interpolation method, proposed in this study, can be useful in the application of DMC.