• 제목/요약/키워드: Interval matrix

검색결과 169건 처리시간 0.021초

Interval finite element method for complex eigenvalues of closed-loop systems with uncertain parameters

  • Zhang, XiaoMing;Ding, Han
    • Structural Engineering and Mechanics
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    • 제26권2호
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    • pp.163-178
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    • 2007
  • In practical engineering, the uncertain concept plays an important role in the control problems of the vibration structures. In this paper, based on matrix perturbation theory and interval finite element method, the closed-loop vibration control system with uncertain parameters is discussed. A new method is presented to develop an algorithm to estimate the upper and lower bounds of the real parts and imaginary parts of the complex eigenvalues of vibration control systems. The results are derived in terms of physical parameters. The present method is implemented for a vibration control system of the frame structure. To show the validity and effectiveness, we compare the numerical results obtained by the present method with those obtained by the classical random perturbation.

불완전한 전반부 정합 하에서의 관측기 기반 구간 2형 T-S 퍼지 시스템의 H 퍼지 제어기 설계 (Observer-based H Fuzzy Controller Design of Interval Type-2 Takagi-Sugeno Fuzzy Systems Under Imperfect Premise Matching)

  • 황성환;박진배;주영훈
    • 전기학회논문지
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    • 제66권11호
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    • pp.1620-1627
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    • 2017
  • In this paper, we design an observer-based $H_{\infty}$ fuzzy controller for interval type-2 Takagi-Sugeno (T-S) fuzzy systems under imperfect premise matching. The designed observer-based controller can effectively estimate the state of the system and make fuzzy system satisfy the $H_{\infty}$ disturbance attenuation performance. Using the slack matrix, the derived stabilization condition is expressed in terms of a linear matrix inequality. Finally, the effectiveness of the proposed method is verified through a simulation example.

Modeling radon diffusion equation in soil pore matrix by using uncertainty based orthogonal polynomials in Galerkin's method

  • Rao, T.D.;Chakraverty, S.
    • Coupled systems mechanics
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    • 제6권4호
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    • pp.487-499
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    • 2017
  • This paper investigates the approximate solution bounds of radon diffusion equation in soil pore matrix coupled with uncertainty. These problems have been modeled by few researchers by considering the parameters as crisp, which may not give the correct essence of the uncertainty. Here, the interval uncertainties are handled by parametric form and solution of the relevant uncertain diffusion equation is found by using Galerkin's Method. The shape functions are taken as the linear combination of orthogonal polynomials which are generated based on the parametric form of the interval uncertainty. Uncertain bounds are computed and results are compared in special cases viz. with the crisp solution.

이산푸리에변환에 기초한 Prony 법과 전력계통의 진동모드 추정 (A Prony Method Based on Discrete Fourier Transform for Estimation- of Oscillation Mode in Power Systems)

  • 남해곤;심관식
    • 대한전기학회논문지:전력기술부문A
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    • 제54권6호
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    • pp.293-305
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    • 2005
  • This paper describes an improved Prony method in its speed, accuracy and reliability by efficiently determining the optimal sampling interval with use of DFT (discrete Fourier transformation). In the Prony method the computation time is dominated by the size of the linear prediction matrix, which is given by the number of data times the modeling order The size of the matrix in a general Prony method becomes large because of large number of data and so does the computation time. It is found that the Prony method produces satisfactory results when SNR is greater than three. The maximum sampling interval resulting minimum computation time is determined using the fact that the spectrum in DFT is inversely proportional to sampling interval. Also the process of computing the modes is made efficient by applying Hessenberg method to the companion matrix with complex shift and computing selectively only the dominant modes of interest. The proposed method is tested against the 2003 KEPCO system and found to be efficient and reliable. The proposed method may play a key role in monitoring in real time low frequency oscillations of power systems .

기하 공차의 수학적 표현 : 1편 (Mathematical Representation of Geometric Tolerances : Part 1)

  • 박상호;이건우
    • 한국정밀공학회지
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    • 제13권6호
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    • pp.78-89
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    • 1996
  • Every mechanical component is fabricated with the variations in its size and shape, and the allowable range of the variation is specified by the tolerance in the design stage. Geometric tolerances specify the size or the thickness of each shape entity itself or its relative position and orientation with respect to datums. Since the range of shape variation can be represented by the variation of the coordinate system attached to the shape, the transformation matrix of the coordinate system would mathematically express the range of shape variation if the interval numbers are inserted for the elements of the transformation matrix. For the shape entity specified by the geometric tolerance with reference to datums, its range of variation can be also derived by propagating the transformation matrices composed of interval numbers. The propagation depends upon the order of precedence of datums.

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CONFIDENCE CURVES FOR A FUNCTION OF PARAMETERS IN NONLINEAR REGRESSION

  • Kahng, Myung-Wook
    • Journal of the Korean Statistical Society
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    • 제32권1호
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    • pp.1-10
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    • 2003
  • We consider obtaining graphical summaries of uncertainty in estimates of parameters in nonlinear models. A nonlinear constrained optimization algorithm is developed for likelihood based confidence intervals for the functions of parameters in the model The results are applied to the problem of finding significance levels in nonlinear models.

새로운 구간 분해 방법을 이용한 구간 시변지연을 갖는 선형시스템의 안정성 (Stability of Linear Systems with Interval Time-varying Delay via New Interval Decomposition)

  • 김진훈
    • 전기학회논문지
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    • 제60권9호
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    • pp.1748-1753
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    • 2011
  • In this paper, we consider the stability of linear systems with an interval time-varying delay. It is known that the adoption of decomposition of delay improves the stability result. For the interval time-delay case, they applied it to the interval of time-delay and got less conservative results. Our basic idea is to apply the general decomposition to the low limit of delay as well as interval of time-delay. Based on this idea, by using the modified Lyapunov-Krasovskii functional and newly derived Lemma, we present a less conservative stability criterion expressed as in the form of linear matrix inequality(LMI). Finally, we show, by well-known two examples, that our result is less conservative than the recent results.

Confidence Interval Estimation Using SV in LS-SVM

  • Seok, Kyung-Ha
    • Journal of the Korean Data and Information Science Society
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    • 제14권3호
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    • pp.451-459
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    • 2003
  • The present paper suggests a method to estimate confidence interval using SV(Support Vector) in LS-SVM(Least-Squares Support Vector Machine). To get the proposed method we used the fact that the values of the hessian matrix obtained by full data set and SV are not different significantly. Since the suggested method implement only SV, a part of full data, we can save computing time and memory space. Through simulation study we justified the proposed method.

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단백질 동정을 위한 Mowse 스코어링 방법의 성능 개선 (Performance Improvement of Mowse Scoring Method for Protein Identification)

  • 정민아;김치연
    • 한국정보통신학회논문지
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    • 제11권10호
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    • pp.1880-1885
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    • 2007
  • 본 논문은 단백질 동정에 이용하는 펩타이드-매스 핑거프린팅 툴 중 하나인 Mowse의 성능을 개선하는 방법을 제안한다. Mowse에서 빈발 요소 행렬은 단백질과 펩타이드 질량에 대하여 일정한 간격으로 생성되어 행렬의 각 원소의 값은 펩타이드의 빈발횟수에 따라 계산된다. 현재 이러한 행렬을 생성하는데 있어서 정해진 간격으로 생성되는데 이러한 간격의 값이 작아질수록 스코어링 값은 정확해진다. 그러나 이러한 간격의 값이 작아질수록 행렬의 크기는 증가하게 되며 이에 따라 스코어링 계산의 복잡도도 증가하게 된다. 본 논문에서는 행렬의 크기를 현재와 같이 유지하면서 스코어 링 값을 정확하게 계산하기 위한 새로운 방법을 제안한다. 현재 Mowse에서 검색 대상이 되는 단백질 데이터베이스의 분포를 고려하여 비선형적으로 행렬의 간격의 값을 정하는 방법 즉, 임의의 단백질 질량 값이 많은 곳에서는 행렬의 간격을 작게 결정하는 반면 단백질 질량 값이 적은 곳에서는 행렬의 간격을 크게 결정하는 방법을 새롭게 제안하였다. 또한, 성능평가는 Mowse 스코어링 방법과 본 논문에서 제안한 새로운 스코어링 방법에 관하여 수행하고 분석결과를 제시하였다.

보호구간이 없는 OFDM 시스템을 위한 성능 향상 기법 (Performance Improvement Technique for an OFDM System without Guard Interval)

  • 김성훈;박중후;최진규
    • 한국통신학회논문지
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    • 제30권5A
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    • pp.382-388
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    • 2005
  • 이동 통신 시스템이 발전함에 따라서 점점 더 대용량의 고속 데이터 전송을 할 수 있는 시스템이 필요하게 되었다. 이러한 시스템으로 주목을 받는 것이 OFDM (Orthogonal Frequency Division Multiplexing) 시스템이다. 그러나 OFDM 시스템에서는 ISI (Inter-Symbol Interference)의 영향을 줄이기 위해 보호구간 (Guard Interval)을 삽입하기 때문에 데이터 전송률과 대역폭 효율이 떨어지는 단점이 있다. 본 논문에서는 보호구간이 없는 OFDM 시스템의 성능을 향상시키는 기법을 제안한다. 우선 다중 경로 채널 환경에서 다중 경로 신호를 추정하여 수신된 신호에서 제거함으로써 간섭을 줄일 수 있는 PIC (Parallel Interference Cancellation) 기법에 대해서 살펴본다. 또한 인접 심볼 때문에 생기는 간섭성분에 대한 Cross-Correlation 행렬을 구하고 그것의 역행렬을 이용하여 전송된 신호를 추정하는 Pseudo-Decorrelator 방법을 사용한 성능 향상 기법을 제안한다. 컴퓨터 모의실험을 실시하여 제안된 시스템의 성능을 평가하고, 보호구간이 없는 OFDM 시스템과 PIC기법을 적용한 시스템의 성능과 비교한다.