• 제목/요약/키워드: General Inverse

검색결과 331건 처리시간 0.032초

SIMPLE FORMULATIONS ON CIRCULANT MATRICES WITH ALTERNATING FIBONACCI

  • Sugi Guritman
    • 대한수학회논문집
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    • 제38권2호
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    • pp.341-354
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    • 2023
  • In this article, an alternating Fibonacci sequence is defined from a second-order linear homogeneous recurrence relation with constant coefficients. Then, the determinant, inverse, and eigenvalues of the circulant matrices with entries in the first row having the formation of the sequence are formulated explicitly in a simple way. In this study, the method for deriving the formulation of the determinant and inverse is simply using traditional elementary row or column operations. For the eigenvalues, the known formulation from the case of general circulant matrices is simplified by considering the specialty of the sequence and using cyclic group properties. We also propose algorithms for the formulation to show how efficient the computations are.

Development of Inverse Dynamic Controller for Industrial robots with HyRoHILS system

  • Yeon, Je-Sung;Kim, Eui-Jin;Lee, Sang-Hun;Park, Jong-Hyeon;Hur, Jong-Sung
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1972-1977
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    • 2005
  • In this work, an inverse dynamic control method is developed to enhance tracking performance of industrial robots, which effectively deal with the nonlinear dynamic interferential forces. In general, the DFF (Dynamic Feed-Forward) controller and the CTM (Computed-Torque Method) controller are used for dynamic control for industrial robots. We study on the practical issues for implementing these inverse dynamic controllers via simulations and experiments. We develop the dynamic models in two different ways. One is a model designed through Newton-Euler method for real time computation and the other is a model designed through SimMechanics for evaluating the developed controller via simulations. We evaluate the nominal performance and robustness of the controller via simulations and experiments using serial 4-DOF HyRoHILS (Hyundai Robot Hardware-In-the-Loop Simulation) system. The results show that the inverse dynamic controller is effective and practically useful for a real control structure.

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구조적 불확실성을 갖는 비선형 시스템의 안정화 역최적제어 (Stabilization Inverse Optimal Control of Nonlinear Systems with Structural Uncertainty)

  • 조도현;이철;이종용
    • 전자공학회논문지 IE
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    • 제46권4호
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    • pp.49-56
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    • 2009
  • 본 논문에서는 구조적 불확실성을 갖는 비선형 시스템에 대한 안정화 역 최적 제어를 고려하였다. 제어 Lyapunov 함수를 기초로, 대역적 점근적 안정도를 제안한다. 이로부터 역 최적 제어를 위한 최소의 제약조건을 유도한다. 이 결과를 이용하여 불확실성을 갖는 비선형시스템의 역 최적 제어기에 적용하였으며, 기존의 결과를 확장한 것이다. 본 연구에서 고려된 비선형 시스템은 가장 많이 표현되며 제안된 방법의 효율성을 검증하기 위하여 시뮬레이션을 하였다.

변위제약을 받는 평면트러스 구조물의 형태해석기법에 관한 연구 (A Study on the Shape Analysis Method of Plane Truss Structures under the Prescribed Displacement)

  • 문창훈;한상을
    • 전산구조공학
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    • 제11권1호
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    • pp.217-226
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    • 1998
  • 본 논문은 변위제약모드를 갖는 트러스구조물의 형태해석을 목적으로 하였으며, 이를 위하여 해의 존재조건과 무어-펜로즈(Moore-Penrose) 일반역행렬을 이용하였다. 또한, 수치해석과정에서의 변위제약모드로는 호몰로지변형(homologous deformation)을 고려하여 해석하였고, 다음으로 다양한 변위제약모드와 절점에 작용하는 하중비를 만족하는 구조물의 형태를 구하였다. 본 논문에서의 형태해석문제는 지정된 변위를 만족하는 구조물의 형태를 찾는 일종의 역문제(inverse problem)로서 일반적인 구조해석과정과는 반대되는 입장에서 접근하였다. 또한, 본 논문에서는 수치해석과정에서 근사해의 정도를 향상시키기 위하여 뉴튼-랩슨법을 사용하였고, 수치해석예제로서 부재의 배열형태에 따라 3가지모델을 선택하였으며, 이들 모델을 통하여 적용한 해석기법의 정확성과 효율성을 검증하였다.

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GENERAL NONCONVEX SPLIT VARIATIONAL INEQUALITY PROBLEMS

  • Kim, Jong Kyu;Salahuddin, Salahuddin;Lim, Won Hee
    • Korean Journal of Mathematics
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    • 제25권4호
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    • pp.469-481
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    • 2017
  • In this paper, we established a general nonconvex split variational inequality problem, this is, an extension of general convex split variational inequality problems in two different Hilbert spaces. By using the concepts of prox-regularity, we proved the convergence of the iterative schemes for the general nonconvex split variational inequality problems. Further, we also discussed the iterative method for the general convex split variational inequality problems.

ON CHARACTERIZATIONS OF CONTINUOUS DISTRIBUTIONS BY CONDITIONAL EXPECTATIONS OF UPPER RECORD VALUES

  • Jin, Hyun-Woo;Lee, Min-Young
    • 충청수학회지
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    • 제25권3호
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    • pp.501-505
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    • 2012
  • In this paper, general classes of continuous distributions are characterized by considering the conditional expectations of functions of upper record statistics. The specific distribution considered as a particular case of the general class of distribution are Exponential, Exponential Power(EP), Inverse Weibull, Beta Gumbel, Modified Weibull(MW), Weibull, Pareto, Power, Singh-Maddala, Gumbel, Rayleigh, Gompertz, Extream value 1, Beta of the first kind, Beta of the second kind and Lomax.

주파수 영역에서 다변수 학습제어기의 설계 (Design of multivariable learning controller in frequency domain)

  • 김원철;조진원;이광순
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.760-765
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    • 1993
  • A multivariable learning control is designed in frequency domain. A general to of feedback assisted learning scheme is considered and an inverse model based learning algorithm is derived through convergence analysis in frequency domain. Performance of the proposed control method is evaluated through numerical simulation.

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점진 전개기법 및 유한요소 역해석법을 이용한 자동차 패널 트리밍 라인 설계 (Trimming Line Design using Incremental Development Method and Finite Element Inverse Method)

  • 정완진;박춘달;송윤준;오세욱
    • 소성∙가공
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    • 제15권6호
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    • pp.445-452
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    • 2006
  • In most of automobile body panel manufacturing, trimming process is generally performed before flanging. To find feasible trimming line is crucial in obtaining accurate edge profile after flanging. Section-based method develops blank along manually chosen section planes and find trimming line by generating loop of end points. This method suffers from inaccurate results of edge profile. On the other hand, simulation-based method can produce more accurate trimming line by iterative strategy. In this study, new fast simulation-based method to find feasible trimming line is proposed. Finite element inverse method is used to analyze the flanging process because final shape after flanging can be explicitly defined and most of strain paths are simple in flanging. In utilizing finite element inverse method, the main obstacle is the initial guess generation for general mesh. Robust initial guess generation method is developed to handle genera] mesh with very different size and undercut. The new method develops final triangular mesh incrementally onto the drawing tool surface. Also in order to remedy mesh distortion during development, energy minimization technique is utilized. Trimming line is extracted from the outer boundary after finite element inverse method simulation. This method has many advantages since trimming line can be obtained in the early design stage. The developed method is verified by shrink/stretch flange forming and successfully applied to the complex industrial applications such as door outer flanging process.

반복 샘플링법을 사용한 임의 역산란 패턴을 위한 유전율 포텐셜 합성에 관한 연구 (A Study on the Synthesis of Dielectric Constant Potential for Arbitrary Inverse Scattering Pattern Using an Iterative Sampling Method)

  • 남준석;박의준
    • 대한전자공학회논문지TC
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    • 제40권10호
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    • pp.150-158
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    • 2003
  • 라인 소스에 의한 빔 패턴 합성 문제에서 소스 분포함수와 빔 패턴간의 관계는 푸리에 변환쌍으로 표현 될 수 있다. 본 연구에서는 원하는 lobe형 빔 패턴을 만족시키는 라인 소스 분포함수를 반복 샘플링을 통한 비선형 역변환법을 사용하여 합성하는 일반적인 방법을 제안한다. 이 방법은 유전 매질에 TE 및 TM 평면파 입사시 원하는 역산란 반사계수를 갖도록 하는 연속적으로 분포된 유전율 합성에 적용될 수 있으며, 임의 반사계수를 갖는 전송선로 합성에도 적용될 수 있는 장점을 가진다. 대역저지 공간 필터 및 분산 특성을 갖는 전송선로 필터에 적용, 분석하므로서 제안한 방법의 타당성을 보인다.

역공학과 해석적 방법을 이용한 관재벌지시험에서의 관재물성치 결정 (Determination of Material Properties of Tube using Inverse Engineering and Analytic Method in Tube Bulge Test)

  • 김태준;김낙수
    • 대한기계학회논문집A
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    • 제27권9호
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    • pp.1508-1516
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    • 2003
  • In numerical analysis for hydroforming process, the stress calculation is effected by flow stress which is general obtained by stress-strain relationship from uni-axial tension test, so the result of the analysis, especially in tube hydroforming, has limitation of accuracy, tubes are made in roll-forming process and become work-hardened. Then roll forming process causes material properties between rolling direction and circumstantial direction of the tube to be different. So it is difficult to predict material behavior in the process condition of bi-axial stress state. In this study, the flow stress of the tube is determined by inverse engineering approach and bulge test that is widely used for formability test in the condition of bi-axial stress. And Hill's quadratic yield function and flow rule are used to consider the anisotropy of the tube in the roll forming process.