• 제목/요약/키워드: norm function

검색결과 310건 처리시간 0.021초

원형평판의 붕괴문제에 관한 유한차분 완전 하계해 (Complete lower bound solutions of circular plate collapse problems by a finite difference method)

  • 허훈
    • 대한기계학회논문집
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    • 제14권6호
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    • pp.1382-1390
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    • 1990
  • 본 연구에서는 Yang의 이론을 바탕으로 여러가지 원형집중하중을 받는 원형평 판에 관한 최대하계해를 구하고자 한다.앞서 열거한 문헌에서는 여러가지 해석법이 제시되었으나, 문제의 성격에 비하여 그 해법이 매우 복잡하였다. 본 논문에서는 원 형평판에 관한 해법으로서 전산기를 응용하여 가능한 한 단순한 해법으로 최대화기법 에 의한 완전한 해를 얻기 위한 시도를 제시하고자 한다.

Structural damage identification based on transmissibility assurance criterion and weighted Schatten-p regularization

  • Zhong, Xian;Yu, Ling
    • Structural Engineering and Mechanics
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    • 제82권6호
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    • pp.771-783
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    • 2022
  • Structural damage identification (SDI) methods have been proposed to monitor the safety of structures. However, the traditional SDI methods using modal parameters, such as natural frequencies and mode shapes, are not sensitive enough to structural damage. To tackle this problem, this paper proposes a new SDI method based on transmissibility assurance criterion (TAC) and weighted Schatten-p norm regularization. Firstly, the transmissibility function (TF) has been proved a useful damage index, which can effectively detect structural damage under unknown excitations. Inspired by the modal assurance criterion (MAC), TF and MAC are combined to construct a new damage index, so called as TAC, which is introduced into the objective function together with modal parameters. In addition, the weighted Schatten-p norm regularization method is adopted to improve the ill-posedness of the SDI inverse problem. To evaluate the effectiveness of the proposed method, some numerical simulations and experimental studies in laboratory are carried out. The results show that the proposed method has a high SDI accuracy, especially for weak damages of structures, it can precisely achieve damage locations and quantifications with a good robustness.

Robust Multiuser Detection Based on Least p-Norm State Space Filtering Model

  • Zha, Daifeng
    • Journal of Communications and Networks
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    • 제9권2호
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    • pp.185-191
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    • 2007
  • Alpha stable distribution is better for modeling impulsive noises than Gaussian distribution in signal processing. This class of process has no closed form of probability density function and finite second order moments. In general, Wiener filter theory is not meaningful in S$\alpha$SG environments because the expectations may be unbounded. We proposed a new adaptive recursive least p-norm Kalman filtering algorithm based on least p-norm of innovation process with infinite variances, and a new robust multiuser detection method based on least p-norm Kalman filtering. The simulation experiments show that the proposed new algorithm is more robust than the conventional Kalman filtering multiuser detection algorithm.

Global torque optimization of redundant manipulator using dynamic programming

  • Shim, Ick-Chan;Yoon, Yong-San
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.811-814
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    • 1997
  • In this paper, the torque optimization of a kinematically redundant manipulator for minimizing the torque demands is discussed. The minimum torque solution based on a local optimization has been known to encounter the instability problem and then the global torque optimization was suggested as one of the alternatives. Herein, by adopting the infinity-norm rather than the 2-norm for the magnitude of torques, we are to propose a new cost function more advantageous to the avoidance of torque limits. By the way, a solution to the global torque optimization formulated with the new cost function can not be obtained by the previous methods due to their difficulties such as inability to treat discontinuous cost functions and various constraints on the joint variables. Thus, to overcome those deficiencies, we are developing a new approach using the dynamic programming. The effectiveness of the proposed method is shown through simulation examples for a 3-link planar redundant manipulator.

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On the Properties of $\gamma$-.$\varepsilon$ for $H_\infty$ Control by State Feedback and Computation of the Infimum of $H_\infty$ Norm

  • Tian, Dong;Ohta, Michio
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국제학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.562-565
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    • 1993
  • It is well known that H$_{\infty}$ control problem involves solving an algebraic Riccati equation which includes a pair of parameters (.gamma., .epsilon.). Focusing on .epsilon. the maximum of .epsilon.. We discuss in this paper about the properties between the H$_{\infty}$ norm of a trnsfer function matrix and the parameters(.gamma., .epsilon.). We can change the algebraic relattion between .gamma. and .epsilon. by the similarity transformation of a considered system and we can find a proper transformation to get a simple quadratic algebraic equation between .gamma. and .epsilon.. This relation provide the H$_{\infty}$ norm of a transfer function.on.

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Receding Horizon $H_{\infty}$ Predictive Control for Linear State-delay Systems

  • Lee, Young-Sam
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.2081-2086
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    • 2005
  • This paper proposes the receding horizon $H_{\infty}$ predictive control (RHHPC) for systems with a state-delay. We first proposes a new cost function for a finite horizon dynamic game problem. The proposed cost function includes two terminal weighting terns, each of which is parameterized by a positive definite matrix, called a terminal weighting matrix. Secondly, we derive the RHHPC from the solution to the finite dynamic game problem. Thirdly, we propose an LMI condition under which the saddle point value satisfies the well-known nonincreasing monotonicity. Finally, we shows the asymptotic stability and $H_{\infty}$-norm boundedness of the closed-loop system controlled by the proposed RHHPC. Through a numerical example, we show that the proposed RHHC is stabilizing and satisfies the infinite horizon $H_{\infty}$-norm bound.

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Weight 최소화법을 이용한 외로 설계 (A Circuit Design Using Weight Minimization Method)

  • 김희석;임제택
    • 대한전자공학회논문지
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    • 제22권2호
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    • pp.82-89
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    • 1985
  • MCO 문제의 해석을 하기 위한 weight P-norm방법을 연구하여 새로운 non-inferior해를 구하였다. Weight 최소화방법을 MOSFET NAND 게이트에 적용하여 최적 non-inferior해를 구하였다. 또한 본 논문에서 응용한 최소화방법은 목적함수가 non-convex일때도 적용된다. 본 논문의 최소화 방법의 결과를 Lightner의 결과와 비교하여 효율성을 입증하였다.

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선형계수확장 기반의 새로운 웨이블릿 워터마킹 (A New Wavelet Watermarking Based on Linear Bit Expansion)

  • 박영일;김석태
    • 한국통신학회논문지
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    • 제32권1C호
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    • pp.16-22
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    • 2007
  • 본 논문에서는 선형계수확장 기반의 웨이블릿 워터마킹 기법을 제안하였다. 워터마크의 안정성을 위해 먼저 워터마크에 대해 Arnold 변환을 한 후, 선형계수확장을 적용하여 확대된 워터마크를 웨이블릿 변환 된 영상의 저주파대에 일정한 강도로 삽입하였으며 추출 시에는 기존 방법과 달리 F-노름(norm) 함수를 적용하였다. 실험결과 본 논문에서 제안한 방법은 충실도와 강인성 측면에서 우수한 특성을 가짐을 확인하였다.