• Title/Summary/Keyword: piecewise-linear system

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Automatic Registration of High Resolution Satellite Images using Local Properties of Tie Points (지역적 매칭쌍 특성에 기반한 고해상도영상의 자동기하보정)

  • Han, You-Kyung;Byun, Young-Gi;Choi, Jae-Wan;Han, Dong-Yeob;Kim, -Yong-Il
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.28 no.3
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    • pp.353-359
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    • 2010
  • In this paper, we propose the automatic image-to-image registration of high resolution satellite images using local properties of tie points to improve the registration accuracy. A spatial distance between interest points of reference and sensed images extracted by Scale Invariant Feature Transform(SIFT) is additionally used to extract tie points. Coefficients of affine transform between images are extracted by invariant descriptor based matching, and interest points of sensed image are transformed to the reference coordinate system using these coefficients. The spatial distance between interest points of sensed image which have been transformed to the reference coordinates and interest points of reference image is calculated for secondary matching. The piecewise linear function is applied to the matched tie points for automatic registration of high resolution images. The proposed method can extract spatially well-distributed tie points compared with SIFT based method.

Modeling and Control of Switched Mode Power Module (스위칭 모드 파워 모듈의 이산영역 모델링 및 제어)

  • Kwak, Jae-Hyuk;Lim, Joon-Hong
    • Proceedings of the KIEE Conference
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    • 2000.07d
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    • pp.2675-2677
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    • 2000
  • 본 논문에서는 광대역 입력전압에 대응 할 수 있는 직류 변환 장치(DC-DC Converter)의 제어기의 모델링 및 제어 방법에 대해서 제안한다. 일반적으로 직류 변환 장치의 주된 목적은 입력되는 직류 전압에 대해서 출력전압을 지속적이고 안정적으로 유지해 주는 것이다. 따라서, 안정적인 출력 전압을 얻는 방법으로서 제어되지 않은 직류 변환 장치에 입력전압을 안정적으로 공급해주는 방법도 고려해 볼 수 있으나, 이릴 경우 입력전류의 변화나 입력 전압이 지속적으로 변하는 경우에 대처 하기 어렵다. 따라서, 이러한 문제점들을 해결하기 위해서 출력전압을 궤환 시키고 이 신호에 의해 직류 변환 장치를 제어하는 방법을 고려한다. 또한, 단순한 제어기를 사용할 경우 그 입력전압의 범위가 소자의 한계와 안정성으로 인하여 국한적으로 한정되므로, 이러한 문제를 해결하기 위해 다수의 컨버터를 연결하고 이것을 프로세서를 사용하여 제어하는 방법을 설계한다. 모델링된 직류 변환 장치는 불연속선형 시스템(Piecewise Linear System)으로 해석되어 질 수 있으며, 아울러 각기 다른 입력 범위에서 동작하는 컨버터들에 대해서도 모델링되어야 한다. 또한 일정 간격의 입력 범위내에서 서로 다른 컨버터들을 동작시켜 줄 수 있는 방법도 고려한다. MATLab을 이용하여 파워 컨버터의 성능을 입증하고, 아울러 실제 회로의 실험을 통하여 결과를 검증한다.

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Design of Controller for Affine Takagi-Sugeno Fuzzy System with Parametric Uncertainties via BMI

  • Lee, Sang-In;Joo, Young-Hoon;Park, Jin-Bae
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.658-662
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    • 2004
  • This paper develops a stability analysis and controller synthesis methodology for a continuous-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties. Affine T-S fuzzy system can be an advantage because it may be able to approximate nonlinear functions to high accuracy with fewer rules than the homogeneous T-S fuzzy systems with linear consequents only. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of bilinear matrix inequalities (BMIs). A simulation example is given to illustrate the application of the proposed method.

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A Fuzzy Linear Programming Problem with Fuzzy Convergent Equality Constraints (퍼지 융합 등식 제약식을 갖는 퍼지 선형계획법 문제)

  • Oh, Se-Ho
    • Journal of the Korea Convergence Society
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    • v.6 no.5
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    • pp.227-232
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    • 2015
  • The fuzzy linear programming(FLP) is the useful approach to many real world problems under uncertainty. This paper deals with a FLP whose objective value is fuzzy. And the right hand sides of convergent equality constraints are fuzzy numbers. We assume that the membership function of the objective value is piecewise linear and those of the right hand side are trapezoidal. Each of these trapezoidal functions can be algebraically replaced with three linear functions. Then the FLP problem is transformed into the Zimmermann's symmetric model. The fuzzy solution based on the max-min rule can be obtained by solving the crisp linear programming problem derived from the symmetric model. A numerical example has illustrated our approach. The application of our approach to the inconsistent linear system can enable generate us to get define the useful and flexible inexact solutions within acceptable tolerance. Further research is required to generalize the membership function.

ELASTOKINEMATIC ANALYSIS OF A SUSPENSION SYSTEM WITH LINEAR RECURSIVE FORMULA

  • KANG J. S.
    • International Journal of Automotive Technology
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    • v.6 no.4
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    • pp.375-381
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    • 2005
  • This paper presents linear algebraic equations in the form of recursive formula to compute elastokinematic characteristics of a suspension system. Conventional methods of elastokinematic analysis are based on nonlinear kinematic constrant equations and force equilibrium equations for constrained mechanical systems, which require complicated and time-consuming implicit computing methods to obtain the solution. The proposed linearized elastokinematic equations in the form of recursive formula are derived based on the assumption that the displacements of elastokinematic behavior of a constrained mechanical system under external forces are very small. The equations can be easily computerized in codes, and have the advantage of sharing the input data of existing general multi body dynamic analysis codes. The equations can be applied to any form of suspension once the type of kinematic joints and elastic components are identified. The validity of the method has been proved through the comparison of the results from established elastokinematic analysis software. Error estimation and analysis due to piecewise linear assumption are also discussed.

A NEW APPROACH FOR ASYMPTOTIC STABILITY A SYSTEM OF THE NONLINEAR ORDINARY DIFFERENTIAL EQUATIONS

  • Effati, Sohrab;Nazemi, Ali Reza
    • Journal of applied mathematics & informatics
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    • v.25 no.1_2
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    • pp.231-244
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    • 2007
  • In this paper, we use measure theory for considering asymptotically stable of an autonomous system [1] of first order nonlinear ordinary differential equations(ODE's). First, we define a nonlinear infinite-horizon optimal control problem related to the ODE. Then, by a suitable change of variable, we transform the problem to a finite-horizon nonlinear optimal control problem. Then, the problem is modified into one consisting of the minimization of a linear functional over a set of positive Radon measures. The optimal measure is approximated by a finite combination of atomic measures and the problem converted to a finite-dimensional linear programming problem. The solution to this linear programming problem is used to find a piecewise-constant control, and by using the approximated control signals, we obtain the approximate trajectories and the error functional related to it. Finally the approximated trajectories and error functional is used to for considering asymptotically stable of the original problem.

The System of Non-Linear Detector over Wireless Communication (무선통신에서의 Non-Linear Detector System 설계)

  • 공형윤
    • Proceedings of the IEEK Conference
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    • 1998.06a
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    • pp.106-109
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    • 1998
  • Wireless communication systems, in particular, must operate in a crowded electro-magnetic environmnet where in-band undesired signals are treated as noise by the receiver. These interfering signals are often random but not Gaussian Due to nongaussian noise, the distribution of the observables cannot be specified by a finite set of parameters; instead r-dimensioal sample space (pure noise samples) is equiprobably partitioned into a finite number of disjointed regions using quantiles and a vector quantizer based on training samples. If we assume that the detected symbols are correct, then we can observe the pure noise samples during the training and transmitting mode. The algorithm proposed is based on a piecewise approximation to a regression function based on quantities and conditional partition moments which are estimated by a RMSA (Robbins-Monro Stochastic Approximation) algorithm. In this paper, we develop a diversity combiner with modified detector, called Non-Linear Detector, and the receiver has a differential phase detector in each diversity branch and at the combiner each detector output is proportional to the second power of the envelope of branches. Monte-Carlo simulations were used as means of generating the system performance.

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An approximation of the M/M/s system where customers demand random number of servers (고객(顧客)이 임의수(任意數)의 Server 를 원하는 M/M/s system 의 개산법(槪算法))

  • Kim, Seong-Sik
    • Journal of Korean Institute of Industrial Engineers
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    • v.7 no.1
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    • pp.5-11
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    • 1981
  • In the case of numerical implementation, the exact solution method for the M/M/s system where customers demand multiple server use [2] reveals limitations, if a system has large number of servers or types of customers. This is due to the huge matrices involved in the course of the calculations. This paper offers an approximation scheme for such cases. Capitalizing the characteristics of the service rate curve of the system, this method approximates the service rate as a piecewise linear function. With the service rates obtained from the linear function for each number of customers n (n=0. 1. 2,$\cdots$), ${\mu}(n)$, steady-state probabilities and measures of performance are found treating this system as an ordinary M/M/s system. This scheme performs well when the traffic intensity of a system is below about 0.8. Some numerical examples are presented.

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Nonlinear Modeling of Super-RENS Disc Systems Using a SCPWL Model (SCPWL 모델을 이용한 Super-RENS 디스크 시스템의 비선형 모델링)

  • Seo, Man-Jung;Jeon, Seok-Hun;Im, Sung-Bin
    • Journal of the Institute of Electronics Engineers of Korea TC
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    • v.47 no.12
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    • pp.24-30
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    • 2010
  • The super-resolution near-field structure (super-RENS) disc system is the most promising one for next-generation optical data storage systems to succeed the Blu-ray disc (BD). In this paper, we apply the simplicial canonical piecewise-linear (SCPWL) model to modeling super-RENS read-out signals since reliable and accurate channel modeling is essential for performance analysis and development of equalizers for super-RENS systems. The validity of this model is verified using radio frequency (RF) signal samples obtained from a super-RENS disc, The experiment results on modeling indicate that the SCPWL model can be efficiently utilized for the nonlinear modeling of the super-RENS systems.

EXPLICIT BOUNDS FOR THE TWO-LEVEL PRECONDITIONER OF THE P1 DISCONTINUOUS GALERKIN METHOD ON RECTANGULAR MESHES

  • Kim, Kwang-Yeon
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.4
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    • pp.267-280
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    • 2009
  • In this paper we investigate a simple two-level additive Schwarz preconditioner for the P1 symmetric interior penalty Galerkin method of the Poisson equation on rectangular meshes. The construction is based on the decomposition of the global space of piecewise linear polynomials into the sum of local subspaces, each of which corresponds to an element of the underlying mesh, and the global coarse subspace consisting of piecewise constants. This preconditioner is a direct combination of the block Jacobi iteration and the cell-centered finite difference method, and thus very easy to implement. Explicit upper and lower bounds for the maximum and minimum eigenvalues of the preconditioned matrix system are derived and confirmed by some numerical experiments.

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