• Title/Summary/Keyword: norm function

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Effects of Calf Sleeve on the Muscle Function of Ankle Joint (종아리 기능성 의류가 발목 관절 근기능에 미치는 영향)

  • Kim, Al-Chan
    • Journal of the Korea Convergence Society
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    • v.13 no.5
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    • pp.307-312
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    • 2022
  • The purpose of this study was to investigate the effects of wearing functional clothing over calf muscles on the muscle function of the calf and to verify whether functional clothing can increase calf muscle function. The participants of the study were 21 male students from University B who had no lower extremity abnormality. The measurement method was measured at 30°/sec and 120°/sec angle speed before and after wearing functional clothing on the right and left calves using Humac Norm of CSMI, a constant speed muscle function measuring instrument. No significant difference was observed during dorsiflexion when wearing functional clothing, but in plantar flexion, muscle strength and muscle endurance were significantly increased. Therefore, wearing functional clothing over the calves showed a positive effect on improving exercise function, and future research suggests a study comparing the degree of muscle function improvement between those wearing functional clothing and those not wearing it for athletes training ahead of the competition.

Anti-sparse representation for structural model updating using l norm regularization

  • Luo, Ziwei;Yu, Ling;Liu, Huanlin;Chen, Zexiang
    • Structural Engineering and Mechanics
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    • v.75 no.4
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    • pp.477-485
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    • 2020
  • Finite element (FE) model based structural damage detection (SDD) methods play vital roles in effectively locating and quantifying structural damages. Among these methods, structural model updating should be conducted before SDD to obtain benchmark models of real structures. However, the characteristics of updating parameters are not reasonably considered in existing studies. Inspired by the l norm regularization, a novel anti-sparse representation method is proposed for structural model updating in this study. Based on sensitivity analysis, both frequencies and mode shapes are used to define an objective function at first. Then, by adding l norm penalty, an optimization problem is established for structural model updating. As a result, the optimization problem can be solved by the fast iterative shrinkage thresholding algorithm (FISTA). Moreover, comparative studies with classical regularization strategy, i.e. the l2 norm regularization method, are conducted as well. To intuitively illustrate the effectiveness of the proposed method, a 2-DOF spring-mass model is taken as an example in numerical simulations. The updating results show that the proposed method has a good robustness to measurement noises. Finally, to further verify the applicability of the proposed method, a six-storey aluminum alloy frame is designed and fabricated in laboratory. The added mass on each storey is taken as updating parameter. The updating results provide a good agreement with the true values, which indicates that the proposed method can effectively update the model parameters with a high accuracy.

H∞ Control of T-S Fuzzy Systems Using a Fuzzy Basis- Function-Dependent Lyapunov Function (퍼지 기저함수에 종속적인 Lyapunov 함수를 이용한 T-S 퍼지 시스템의 H∞ 제어)

  • Choi, Hyoun-Chul;Chwa, Dong-Kyoung;Hong, Suk-Kyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.7
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    • pp.615-623
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    • 2008
  • This paper proposes an $H_{\infty}$ controller design method for Takagi-Sugeno (T-S) fuzzy systems using a fuzzy basis-function-dependent Lyapunov function. Sufficient conditions for the guaranteed $H_{\infty}$ performance of the T-S fuzzy control system are given in terms of linear matrix inequalities (LMIs). These LMI conditions are further used for a convex optimization problem in which the $H_{\infty}-norm$ of the closed-loop system is to be minimized. To facilitate the basis-function-dependent Lyapunov function approach and thus improve the closed-loop system performance, additional decision variables are introduced in the optimization problem, which provide an additional degree-of-freedom and thus can enlarge the solution space of the problem. Numerical examples show the effectiveness of the proposed method.

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

  • Piao Yong-Ri;Kim Seok-Tae
    • Proceedings of the Korean Institute of Information and Commucation Sciences Conference
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    • 2006.05a
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    • pp.167-170
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    • 2006
  • This study proposes a new wavelet watermark technique based on the Linear Bit Expansion. To ensure the security of the watermark, it is Amold Transformed before embedding. Then the wavelet transformation of watermark and original images is processed. Since the size of the watermark image is a quarter of the original site, it uses linear bit-expansion to enlarge the watermark image. Lastly, watermark is inserted in a given intensity to the corresponding low frequency subbands of the wavelet-transformed images proposed in this paper. When detecting the presence of watermark, the similarity between extracted watermark and the original watermark is compared applying the F norm function.

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Cpk Index Estimation under Tw (the weakest t-norm)-based Fuzzy Arithmetic Operations

  • Hong, Dug-Hun
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.8 no.3
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    • pp.170-174
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    • 2008
  • The measurement of performance of a process considering both the location and the dispersion of information about the process is referred to as the process capacity indices (PCIs) of interest, $C_{pk}$. This information is presented by the mean and standard deviation of the producing process. Linguistic variables are used to express the evaluation of the quality of a product. Consequently, $C_{pk}$ is defined with fuzzy numbers. Lee [Eur. J. Oper. Res. 129(2001) 683-688] constructed the definition of the $C_{pk}$ index estimation presented by fuzzy numbers and approximated its membership function using the "min" - norm based Zadeh's extension principle of fuzzy sets. However, Lee's result was shown to be invalid by Hong [Eur. J. Oper. Res. 158(2004) 529-532]. It is well known that $T_w$ (the weakest t-norm)-based addition and multiplication preserve the shape of L-R fuzzy numbers. In this paper, we allow that the fuzzy numbers are of L-R type. The object of the present study is to propose a new method to calculate the $C_{pk}$ index under $T_w-based$ fuzzy arithmetic operations.

A REGULARIZED CORRECTION METHOD FOR ELLIPTIC PROBLEMS WITH A SINGULAR FORCE

  • Kim, Hyea-Hyun
    • Journal of the Korean Mathematical Society
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    • v.49 no.5
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    • pp.927-945
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    • 2012
  • An approximation of singular source terms in elliptic problems is developed and analyzed. Under certain assumptions on the curve where the singular source is defined, the second order convergence in the maximum norm can be proved. Numerical results present its better performance compared to previously developed regularization techniques.

$H^{\infty}$ Optomal Control Using the Lagrange Multiplier Method (Lagrange 승산자 방법을 이용한$H^{\infty}$최적제어)

  • 전재완;윤한오;박홍배;김수중
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.40-45
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    • 1991
  • This paper deals with the design of feedback controllers which minimize the $H^{\infty}$-norm of the weighted sensitivity function. Using the Lagrange multiplier method and the Nevanlinna-Pick interpolation theory, an algorithm which stabilizes a plant and makes the output to track the reference signal is proposed..

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$H^{\infty}$-optimization using the modified interpolation algorithm (개선된 보간 알고리즘을 이용한 $H^{\infty}$-최적화)

  • 이태형;윤한오;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10a
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    • pp.46-51
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    • 1991
  • An algorithm of finding a solution to an $H^{\infty}$-minimization problem is proposed, and the solution is obtained explicity in terms of closed-form. We construct an optimal controller subject to the interpolation constraints such that $H^{\infty}$-norm and the minimized value of transfer function matrix are equal.l.

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HARMONIC LITTLE BLOCH FUNCTIONS ON THE UPPER HALF-SPACE

  • Yi, HeungSu
    • Korean Journal of Mathematics
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    • v.5 no.2
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    • pp.127-134
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    • 1997
  • On the setting of the upper half-space of the euclidean n-space, we study some properties of harmonic little Bloch functions and we show that for a given harmonic little Bloch function $u$, there exists unique harmonic conjugates of $u$, which are also little Bloch functions with appropriate norm bounds.

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