• Title/Summary/Keyword: convergent series

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선형행렬부등식을 이용한 정적출력궤환 제어기 설계 (Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem)

  • 김석주;권순만;김춘경;문영현
    • 대한전기학회논문지:시스템및제어부문D
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    • 제53권11호
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    • pp.747-752
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    • 2004
  • This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.

Adaptive cutting force controller for milling processes by using AC servodrive current measurements

  • Kim, Jongwon
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1996년도 한국자동제어학술회의논문집(국내학술편); 포항공과대학교, 포항; 24-26 Oct. 1996
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    • pp.840-843
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    • 1996
  • This paper presents an adaptive cutting force controller for milling process, which can be attached to most commercial CNC machining centers in a practical way. The cutting forces of X,Y and Z axes measured indirectly from the use of currents drawn by AC feed-drive servo motors. A typical model for the feed-drive control system of a horizontal machining center is developed to analyze cutting force measurement from the drive motor. The pulsating milling forces can be measured indirectly within the bandwidth of the current feedback control loop of the feed-drive system. It is shown that indirectly measured cutting force signals can be used in the adaptive controller for cutting force regulation. The robust controller structure is adopted in the whole adaptive control scheme. The conditions under which the whole scheme is globally convergent and stable are presented. The suggested control scheme has been implemented into a commercial machining center, and a series of cutting experiments on end milling and face milling processes are performed. The adaptive controller reveals reliable cutting force regulating capability under various cutting conditions.

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SOLVING HIGHER-ORDER INTEGRO-DIFFERENTIAL EQUATIONS USING HE'S POLYNOMIALS

  • Mohyud-Din, Syed Tauseef;Noor, Muhammad Aslam
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제13권2호
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    • pp.109-121
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    • 2009
  • In this paper, we use He's polynomials for solving higher order integro differential equations (IDES) by converting them to an equivalent system of integral equations. The He's polynomials which are easier to calculate and are compatible to Adomian's polynomials are found by using homotopy perturbation method. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Several examples are given to verify the reliability and efficiency of the proposed method.

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VARIATIONAL DECOMPOSITION METHOD FOR SOLVING SIXTH-ORDER BOUNDARY VALUE PROBLEMS

  • Noor, Muhammad Aslam;Mohyud-Din, Syed Tauseef
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1343-1359
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    • 2009
  • In this paper, we implement a relatively new analytical technique by combining the traditional variational iteration method and the decomposition method which is called as the variational decomposition method (VDM) for solving the sixth-order boundary value problems. The proposed technique is in fact the modification of variatioanal iteration method by coupling it with the so-called Adomian's polynomials. The analytical results of the equations have been obtained in terms of convergent series with easily computable components. Comparisons are made to verify the reliability and accuracy of the proposed algorithm. Several examples are given to check the efficiency of the proposed algorithm. We have also considered an example where the VDM is not reliable.

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MODIFIED DECOMPOSITION METHOD FOR SOLVING INITIAL AND BOUNDARY VALUE PROBLEMS USING PADE APPROXIMANTS

  • Noor, Muhammad Aslam;Noor, Khalida Inayat;Mohyud-Din, Syed Tauseef;Shaikh, Noor Ahmed
    • Journal of applied mathematics & informatics
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    • 제27권5_6호
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    • pp.1265-1277
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    • 2009
  • In this paper, we apply a new decomposition method for solving initial and boundary value problems, which is due to Noor and Noor [18]. The analytical results are calculated in terms of convergent series with easily computable components. The diagonal Pade approximants are applied to make the work more concise and for the better understanding of the solution behavior. The proposed technique is tested on boundary layer problem; Thomas-Fermi, Blasius and sixth-order singularly perturbed Boussinesq equations. Numerical results reveal the complete reliability of the suggested scheme. This new decomposition method can be viewed as an alternative of Adomian decomposition method and homotopy perturbation methods.

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접지된 유전체층 위에 위치한 스트립 격자구조의 회절에 대한 급속한 수렴해에 관한 연구 (On the Fast Convergent Solution for Diffraction by a Strip Grating with a Grounded Dielectric Layer)

  • 조진균;이상훈;조영기
    • 전자공학회논문지A
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    • 제28A권9호
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    • pp.680-684
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    • 1991
  • The scattering problem of a transverse electric (TE) plane wave by strip grating with a dielectric slab over a ground plane is analyzed by the method of moments. By use of equivalence principle, surface magnetic current density on the shorted slot is expanded in a series of Chebyshev polynomial a satisfying the appropriate edge condition. Numerical results for reflection coefficient are obtained and compared with other available results. Our numerical results obtained from the present method are in good agreement with other result available in the literature.

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Cloud Storage Security Deduplication Scheme Based on Dynamic Bloom Filter

  • Yan, Xi-ai;Shi, Wei-qi;Tian, Hua
    • Journal of Information Processing Systems
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    • 제15권6호
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    • pp.1265-1276
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    • 2019
  • Data deduplication is a common method to improve cloud storage efficiency and save network communication bandwidth, but it also brings a series of problems such as privacy disclosure and dictionary attacks. This paper proposes a secure deduplication scheme for cloud storage based on Bloom filter, and dynamically extends the standard Bloom filter. A public dynamic Bloom filter array (PDBFA) is constructed, which improves the efficiency of ownership proof, realizes the fast detection of duplicate data blocks and reduces the false positive rate of the system. In addition, in the process of file encryption and upload, the convergent key is encrypted twice, which can effectively prevent violent dictionary attacks. The experimental results show that the PDBFA scheme has the characteristics of low computational overhead and low false positive rate.

유전체 판상의 주기적인 스트립 회절격자에 의한 TE 산란의 해 (Solution for TE Scattering by a Periodic Strip Grating with a Dielectric Slab)

  • 이상훈;조영기
    • 대한전자공학회논문지
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    • 제27권11호
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    • pp.20-24
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    • 1990
  • 본 논문에서는 유전체 판상의 스트립 회절격자에 의한 TE 평면파의 산란문제에 관한 효율적인 수렴해를 제시하였다. 본 논문의 방법은 등가 원리에 따라서 단락된 슬롯 위에 놓여진 등가 자계 전류를 적절한 모서리 조건을 만족하는 Chebyshev 다항식의 급수로서 전개하는데 기초를 둔다. 본 논문의 정확도와 수렴 속도를 입증하기 위해 반사 계수와 투과 계수에 대한 수치적인 결과를 계산하여 다른 결과와 비교하였다.

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Investigation of the Convergence Behavior with Fluctuation Features in the Fourier Modal Analysis of a Metallic Grating

  • Kim, Hwi;Park, Gwanwoo;Kim, Changsoon
    • Journal of the Optical Society of Korea
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    • 제16권3호
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    • pp.196-202
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    • 2012
  • We observe that the transmission and reflection efficiencies of a one-dimensional metallic grating under transverse-magnetic illumination calculated using the Fourier modal method (FMM) with the Fourier factorization rules have peculiar fluctuations, albeit small in magnitude, as the number of field harmonics increases. It is shown that when the number of Fourier terms for the electromagnetic field is increased from that in the conventional FMM, the fluctuations due to non-convergent highly evanescent eigenmodes can be eliminated. Our examination reveals that the fluctuations originate from the Gibbs phenomenon inherent in the Fourier-series representation of a permittivity function with discontinuities, and from non-convergence of highly evanescent internal Bloch eigenmodes.

Theoretical Computation of the Capacitance of an Asymmetric Coplanar Waveguide

  • Song, Chan Mi;Kwon, Gina;Lee, Jong Min;Lee, Kang-Yoon;Yang, Youngoo;Hwang, Keum Cheol
    • Journal of Electrical Engineering and Technology
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    • 제13권1호
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    • pp.393-399
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    • 2018
  • An electrostatic boundary-value problem of a dielectric-wedge-backed, double-slotted conducting wedge is investigated to analyze an asymmetric coplanar waveguide with an infinite dielectric thickness using the Mellin transform and a mode-matching method. Our theoretical solution based on eigenfunction expansion and residue calculus is a rigorous and fast-convergent series form. Numerical computations are conducted to evaluate the potential field, capacitance, and characteristic impedance for various structures of the asymmetric coplanar waveguide. The computed results show good agreement with the simulated results.