• Title/Summary/Keyword: Cubic Form

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A Globally Stabilizing Model Predictive Controller for Neutrally Stable Linear Systems with Input Constraints

  • Yoon, Tae-Woong;Kim, Jung-Su;Jadbabaie, Ali;Persis, Claudio De
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1901-1904
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    • 2003
  • MPC or model predictive control is representative of control methods which are able to handle physical constraints. Closed-loop stability can therefore be ensured only locally in the presence of constraints of this type. However, if the system is neutrally stable, and if the constraints are imposed only on the input, global aymptotic stability can be obtained; until recently, use of infinite horizons was thought to be inevitable in this case. A globally stabilizing finite-horizon MPC has lately been suggested for neutrally stable continuous-time systems using a non-quadratic terminal cost which consists of cubic as well as quadratic functions of the state. The idea originates from the so-called small gain control, where the global stability is proven using a non-quadratic Lyapunov function. The newly developed finite-horizon MPC employs the same form of Lyapunov function as the terminal cost, thereby leading to global asymptotic stability. A discrete-time version of this finite-horizon MPC is presented here. The proposed MPC algorithm is also coded using an SQP (Sequential Quadratic Programming) algorithm, and simulation results are given to show the effectiveness of the method.

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A study for Ripple effect and Dye Characteristic of Ripple Finished Cotton Fabrics (Ripple가공(加工) 면직물(綿織物)의 Ripple효과(效果)와 꼭두서니염색(染色) 연구(硏究))

  • Choi, Jeong-Im;Kim, Jong-Jun;Jeon, Dong-Won
    • Journal of Fashion Business
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    • v.11 no.4
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    • pp.101-110
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    • 2007
  • Since cotton fabrics with ripple finish treatment form wavy furrows on the surface or bumpy patterns, air circulation during wearing is good and the fabric is cool to the touch. The finishing principle is based on the mercerization, which utilizes the fact that cotton fibers contract in a concentrated NaOH solution. In this study, as fabric specimens, cotton fabrics with yarn counts of 40's, 60's and 80's were used. Concentrations of the NaOH solutions were 15%, 25%, and 35%. After dyeing fabrics using Rubia akane nakai, color and other properties were measured. As the concentration of the NaOH solution increased, the fabric became thicker and denser, and the number of occurrence of the prominence and depression per unit length became larger. The color of the region contracted by ripple finish became darker after dyeing, while the color of the untreated region became lighter, which enhanced the cubic effect of the ripple finish. As the count of the cotton yarn increased, the dyeability became better. As the concentration of the NaOH solution increased, the air permeability became lower.

Formation and evolution of mini halos around a dwarf galaxy sized halo - Candidate sites for the primordial globular clusters

  • Chun, Kyungwon;Shin, Jihye;Kim, Sungsoo S.
    • The Bulletin of The Korean Astronomical Society
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    • v.40 no.2
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    • pp.34.2-34.2
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    • 2015
  • We aim to investigate the formation of primordial globular clusters (GCs) in the isolated dwarf galaxy (${\sim}10^{10}M_{sun}$) with cosmological zoom-in simulations. For this, we modified cosmological hydrodynamic code, GADGET-3, in a way to include the radiative heating/cooling that enables gas particles cool down to T~10K, reionization (z < 8.9) of the Universe, UV shielding ($n_{shield}$ > $0.014cm^{-3}$), and star formation. Our simulation starts in a cubic box of a side length 1Mpc/h with 17 million particles from z = 49. The mass of each dark matter (DM) and gas particle is $M_{DM}=4.1{\times}10^3M_{sun}$ and $M_{gas}=7.9{\times}10^2M_{sun}$, respectively, thus the GC candidates can be resolved with more than hundreds particles. We found the following results: 1) mini halos with the more interactions before merging into the main halo form the more stars and thus have the higher star mass fraction ($M_{star}/M_{total}$), 2) the mini halos with the high $M_{star}/M_{total}$ can survive longer and thus spiral into closer to the galactic center, 3) the majority of them spiral into bulge, but some of them can survive until the last as baryon-dominated system, like the GC.

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Sub-pixel Image Magnification Using Adaptive Linear Interpolation (적응적인 선형 보간을 이용한 부화소 기반 영상 확대)

  • Yoo, Hoon
    • Journal of Korea Multimedia Society
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    • v.9 no.8
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    • pp.1000-1009
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    • 2006
  • We propose an adaptive linear interpolation locating sub-pixels. We utilize a pixel-based parameter in the conventional linear interpolation. To optimally obtain the parameter, we propose a generic interpolation structure including a low pass filter and minimum mean square error. We also propose a simple version of the generic interpolation method, which obtain a closed-form solution. Simulation results show that the proposed method is superior to the state-of-the-art methods such as warped distance linear interpolation and shifted linear interpolation, as well as the conventional method such as the linear interpolation and the cubic convolution interpolation in terms of the subjective and objective image quality.

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Nonlinear free vibration and post-buckling of FG-CNTRC beams on nonlinear foundation

  • Shafiei, Hamed;Setoodeh, Ali Reza
    • Steel and Composite Structures
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    • v.24 no.1
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    • pp.65-77
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    • 2017
  • The purpose of this research is to study the nonlinear free vibration and post-buckling analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) beams resting on a nonlinear elastic foundation. Uniformly and functionally graded distributions of single walled carbon nanotubes as reinforcing phase are considered in the polymeric matrix. The modified form of rule of mixture is used to estimate the material properties of CNTRC beams. The governing equations are derived employing Euler-Bernoulli beam theory along with energy method and Hamilton's principle. Applying von $K\acute{a}rm\acute{a}n's$ strain-displacement assumptions, the geometric nonlinearity is taken into consideration. The developed governing equations with quadratic and cubic nonlinearities are solved using variational iteration method (VIM) and the analytical expressions and numerical results are obtained for vibration and stability analysis of nanocomposite beams. The presented comparative results are indicative for the reliability, accuracy and fast convergence rate of the solution. Eventually, the effects of different parameters, such as foundation stiffness, volume fraction and distributions of carbon nanotubes, slenderness ratio, vibration amplitude, coefficients of elastic foundation and boundary conditions on the nonlinear frequencies, vibration response and post-buckling loads of FG-CNTRC beams are examined. The developed analytical solution provides direct insight into parametric studies of particular parameters of the problem.

Surveying the Daily Pumpage for Irrgating Paddy Rice in the Han River Basin (한강수계의 관개용수 일별 양수량 조사)

  • 임상준;박승우;김상민;김현준
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.42 no.1
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    • pp.57-65
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    • 2000
  • The objective of this paper are to present a realistic methodology to estimate the daily water supply rates form irrigation pumping stattions, to validate it with the field data, and to report the daily irrigation pumping rates from the Han river basin. Five-year historical pumping records were collected from seventy-three pumping stations in the Han river basin. And the daily pumping rates were estimated from the electrical consumption records. The pumping patterns from the stations were analyzed and the results were applied to ungauged pumping stations in the basin. The method was appliedto five stations which were field monitored during the irragation periods in 1998. The relative errors between the observed and simulated water pumpage ranged from 1.4 to 7.0 percent. This indicates that the proposed method is valid to apply for estimating the pumping rates for agricultural lands. During 1993 to 1997, the annual average water pumpaging from the Han river and the tributaries were 350 million cubic meter. The annual water supply from the pumping stations varied from 973 to 1.377 mm in depth and the mean was 1,170 mm. The major factor affecting the annual variations was attributed to the rainfall during the growing seasons.

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Expression Trend and Characteristics of Pixel in Contemporary Fashion (현대패션에 나타난 픽셀의 표현 경향과 특성)

  • Kim, Sun Young
    • Korean Journal of Human Ecology
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    • v.24 no.3
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    • pp.407-421
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    • 2015
  • This study examined the pixel's expression trend and nature featured in contemporary fashion, which works as a basic unit symbolizing the digital image, paying attention to its formativeness. The work through this process aimed at suggesting an opportunity for recognition about pixel image utilized as a formative component beyond its simple meaning of unit and providing the fundamental materials for usage in creative fashion design reflecting the digital emotion in the future, In research method, literature review was followed on pixel and the empirical study about its image was also performed that was found in the modern fashion. As a result, the trend in pixel has these characteristics. Its first nature lies in its plane expression. It was printed as mosaic or graphic grid image or expressed through patchwork technique. Also, rather than a certain form or figure, its unique image was emphasized according to the applied color, size, and position. Second, a stepwise pattern in pixel was applied to external format for part of clothing, eye glass and necktie, indicating some interest and wit. Third, in application to plane and external shape, the graphically modernized effect was realized, not to mention the illusive image with cubic expression. As shown, the characteristics in contemporary fashion via pixel expression were given in fantastic image, optical humor, and reflection of digital value.

On the Vibration Characteristics of Surface Blasting (지표발파의 진동특성에 관한 기초연구)

  • 양형식
    • Tunnel and Underground Space
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    • v.2 no.2
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    • pp.199-211
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    • 1992
  • Blasting vibrations of 3 quarries and 5 construction sites were measured and investigated with two reference data. Square and cubic root scaled distance were similar in fitness to peak particle velocity of individual blasting site, but the former is better fitted in total. It was suggested that the limit scaled distance for domestic surface blasting be 40kg/$\textrm{cm}^2$ for 10mm/s level and 60kg/$\textrm{cm}^2$ for 5mm/s level, which were lower than the OSM's regulation. Prevailing vibration components were in the order of radial, vertical and transverse directions. Prevailing vibration components were in the order of radial, vertical and transverse directons. Site factors K and m were 242 and -1.283 for all studied area, 357 and -1.348 for construction sites, 118 and -1.160 for quarries. Most prevailing frequency was in the range of 10~2Hz. Overlapping effect of delayed blasting vibrations were insignificant. Vibration history of delayed blasting was longer than simultaneous blasting, and it became longer as measuring distance increased. Wave form and predominant frequencies were more complicated for delayed blasting than instantaneous blasting. The influence of blasting scale and measuring distance were not significant to determine peak particle velocity equation.

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Structural and Spectroscopic Investigation of Ceria Nanofibers Fabricated by Electrospinning Process

  • Hwang, Ah-Reum;Park, Ju-Yun;Kang, Yong-Cheol
    • Bulletin of the Korean Chemical Society
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    • v.32 no.9
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    • pp.3338-3342
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    • 2011
  • We fabricated ceria ($CeO_2$) nanofibers by applying a mixed solution of polyvinylpyrrolidone (PVP) and various concentrations of cerium nitrate hydrate ($Ce(NO_3)_3$) ranging from 15.0 to 26.0 wt % by the electrospinning process. Ceria nanofibers were obtained after calcining PVP/$Ce(NO_3)_3$ nanofiber composites at 873 and 1173 K. The SEM images indicated that the diameters of $CeO_2$ nanofibers calcined at 873 and 1173 K were smaller than those of nanofibers obtained at RT. As the amount of cerium increased, the diameter of $CeO_2$ nanofibers increased. XRD analysis revealed that the ceria nanofibers were in cubic form. TEM results revealed that the ceria nanofibers were formed by the interconnection of Ce oxide nanoparticles. The ceria nanofibers obtained at low concentrations of Ce (CeL) showed spotty ring patterns indicated that the ceria nanofibers were polycrystalline structure. And the ceria nanofibers obtained at high concentration of Ce (CeH) showed fcc (001) diffraction pattern. XPS study indicated that the oxidation of Ce shifted from $Ce^{3+}$ to $Ce^{4+}$ as the calcination temperature increased.

Minimization of Surface Roughness for High Speed Machining by Surface Fitting (곡면 Fitting을 이용한 고속가공 표면거칠기의 최소화)

  • Jung Jong-Yun;Cho Hea-Young;Lee Choon-Man;Moon Dug-Hee
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.27 no.2
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    • pp.37-43
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    • 2004
  • High speed machining is a machining process which cuts materials with the fast movement and rotation of a spindle in a machine tool. It reduces machining time because of the high feed and the high speed of a spindle. In addition it gets rid of post processes for high precision machining. When the high speed machining is applied to especially hardened steel, operators should select the proper parameters of machining. This can produce machining surfaces which is qualified with good surface roughness. This paper presents a method for selecting machining parameters to minimize surface roughness with high speed machining in cutting the hardened steels. Experimental data for surface roughness are collected in a machining shop based on the cutting feed and the spindle rotation. The data fits in hi-cubic polynomial surface of mathematical form. From the model this research minimize the surface roughness to find the optimal values of the feed and the spindle speed. This paper presents a program which automatically generates optimal solutions from the raw data of experiments.