• Title/Summary/Keyword: Linearization Method

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Reentry Guidance for Korean Space Plane Based on Reference Drag Following (한국형 우주비행기의 기준 항력 추종 기반 재진입 유도 기법)

  • Yoon, Da-In;Kim, Young-Won;Lee, Chang-Hun;Choi, Han-Lim;Ryu, Hyeok
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.8
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    • pp.637-648
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    • 2021
  • This paper aims to propose new reentry guidance for Korean Space plane (KSP). Similar to the Space Shuttle guidance concept, a reference drag profile is first determined to satisfy several flight path constraints and boundary conditions, and the proposed guidance commands are realized in a way to track the predetermined reference drag profile. To this end, the drag dynamics is examined. The investigation uncovers that the dynamics characteristics of the drag and the flight path angle are considerably different. Based on this fact, the proposed guidance commands are determined using the time-scale separation technique and the feedback linearization methodology. The key feature of the proposed guidance lies in its simple structure and a clear working mechanism. Therefore, the proposed method is simple to implement compared to existing methods. Numerical simulations are performed to investigate the performance of the proposed method.

Mid-course Trajectory Optimization for Boost-Glide Missiles Based on Convex Programming (컨벡스 프로그래밍을 이용한 추진-활공 유도탄의 중기궤적 최적화)

  • Kwon, Hyuck-Hoon;Hong, Seong-Min;Kim, Gyeong-Hun;Kim, Yoon-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.1
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    • pp.21-30
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    • 2021
  • Mid-course trajectory of the missiles equipped with seeker should be designed to detect target within FOV of seeker and to maximize the maneuverability at the point of transition to terminal guidance phase. Because the trajectory optimization problems are generally hard to obtain the analytic solutions due to its own nonlinearity with several constraints, the various numerical methods have been presented so far. In this paper, mid-course trajectory optimization problem for boost-glide missiles is calculated by using SOCP (Second-Order Cone Programming) which is one of convex optimization methods. At first, control variable augmentation scheme with a control constraint is suggested to reduce state variables of missile dynamics. And it is reformulated using a normalized time approach to cope with a free final time problem and boost time problem. Then, partial linearization and lossless convexification are used to convexify dynamic equation and control constraint, respectively. Finally, the results of the proposed method are compared with those of state-of-the-art nonlinear optimization method for verification.

Seismic structural demands and inelastic deformation ratios: a theoretical approach

  • Chikh, Benazouz;Mebarki, Ahmed;Laouami, Nacer;Leblouba, Moussa;Mehani, Youcef;Hadid, Mohamed;Kibboua, Abderrahmane;Benouar, Djilali
    • Earthquakes and Structures
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    • v.12 no.4
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    • pp.397-407
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    • 2017
  • To estimate the structural seismic demand, some methods are based on an equivalent linear system such as the Capacity Spectrum Method, the N2 method and the Equivalent Linearization method. Another category, widely investigated, is based on displacement correction such as the Displacement Coefficient Method and the Coefficient Method. Its basic concept consists in converting the elastic linear displacement of an equivalent Single Degree of Freedom system (SDOF) into a corresponding inelastic displacement. It relies on adequate modifying or reduction coefficient such as the inelastic deformation ratio which is usually developed for systems with known ductility factors ($C_{\mu}$) and ($C_R$) for known yield-strength reduction factor. The present paper proposes a rational approach which estimates this inelastic deformation ratio for SDOF bilinear systems by rigorous nonlinear analysis. It proposes a new inelastic deformation ratio which unifies and combines both $C_{\mu}$ and $C_R$ effects. It is defined by the ratio between the inelastic and elastic maximum lateral displacement demands. Three options are investigated in order to express the inelastic response spectra in terms of: ductility demand, yield strength reduction factor, and inelastic deformation ratio which depends on the period, the post-to-preyield stiffness ratio, the yield strength and the peak ground acceleration. This new inelastic deformation ratio ($C_{\eta}$) is describes the response spectra and is related to the capacity curve (pushover curve): normalized yield strength coefficient (${\eta}$), post-to-preyield stiffness ratio (${\alpha}$), natural period (T), peak ductility factor (${\mu}$), and the yield strength reduction factor ($R_y$). For illustrative purposes, instantaneous ductility demand and yield strength reduction factor for a SDOF system subject to various recorded motions (El-Centro 1940 (N/S), Boumerdes: Algeria 2003). The method accuracy is investigated and compared to classical formulations, for various hysteretic models and values of the normalized yield strength coefficient (${\eta}$), post-to-preyield stiffness ratio (${\alpha}$), and natural period (T). Though the ductility demand and yield strength reduction factor differ greatly for some given T and ${\eta}$ ranges, they remain take close when ${\eta}>1$, whereas they are equal to 1 for periods $T{\geq}1s$.

Variance Estimation for General Weight-Adjusted Estimator (가중치 보정 추정량에 대한 일반적인 분산 추정법 연구)

  • Kim, Jae-Kwang
    • The Korean Journal of Applied Statistics
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    • v.20 no.2
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    • pp.281-290
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    • 2007
  • Linear estimator, a weighted sum of the sample observation, is commonly adopted to estimate the finite population parameters such as population totals in survey sampling. The weight for a sampled unit is often constructed by multiplying the base weight, which is the inverse of the first-order inclusion probability, by an adjustment term that takes into account of the auxiliary information obtained throughout the population. The linear estimator using the weight adjustment is often more efficient than the one using only the bare weight, but its valiance estimation is more complicated. We discuss variance estimation for a general class of weight-adjusted estimator. By identifying that the weight-adjusted estimator can be viewed as a function of estimated nuisance parameters, where the nuisance parameters were used to incorporate the auxiliary information, we derive a linearization of the weight-adjusted estimator using a Taylor expansion. The method proposed here is quite general and can be applied to wide class of the weight-adjusted estimators. Some examples and results from a simulation study are presented.

A Modified HE Technique to Enhance Image Contrast for Scaled Image on Small-sized Mobile Display (휴대단말기용 소형 디스플레이의 영상 컨트라스트 향상을 위한 변형된 HE 기법 연구)

  • Chung, Jin-Young;Hossen, Monir;Jeong, Kyung-Hoon;Kang, Dong-Wook;Kim, Ki-Doo
    • Proceedings of the KIEE Conference
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    • 2008.10b
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    • pp.137-138
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    • 2008
  • This paper proposes the modified image contrast enhancement technique for small-sized display of mobile handset. Sample images are user interface images, in which scaled up wVGA($800{\times}480$) from qVGA($320{\times}240$) that we can see easily in mobile handset. The display size of mobile handset is relatively small, so the goal of this paper is to simplify image contrast enhancement algorithm based on conventional HE (Histogram Equalization) algorithm and improve computational effectiveness to minimize power consumption in real hardware IC. In this paper, we adopt HE technique, which is classical and widely used for image contrast enhancement. At first, the input frame image is partitioned to temporal sub-frames and then analyzes gray level histogram of each sub-frame. In case that the analyzed histogram of some sub-frames deviates so much from reference level (it means that the sub-frame image components consist of too bright ones or dark ones), apply DHE(Dynamic Histogram Equalization) algorithm. In the other case, apply classical Histogram Linearization (or Global HE) algorithm. Also we compare the HE technique with gamma LUT (Look-Up Table) method, which is known as the simplest technique to enhance image contrast.

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A Study on the Structural Reliability (구조물(構造物)의 신뢰성(信賴性)에 관한 소고(小考) -원형단면의 인장재를 중심으로-)

  • Son, Seung Yo
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.5 no.2
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    • pp.51-57
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    • 1985
  • In the design of civil engineering structures, the designers are invariably faced to the uncertainties and the randomness of the design parameters such as material properties and loads. Even when the structures are built, the actual geometries of the structures are also subject to their random variations from their nominal design values. Thus, the reliability of a structure in terms of these uncertainties and variations becomes a matter of great concern to the structural designers. This study employs the First Order Second Moment Method to evluate numerically the reliability of a simple tension member and discusses the influence on the final failure probability of that structure due to: 1) use of equivalent normal distribution in place of non-normal distribution, 2) linearization of non linear limit state equation. A discussion is also made on the necessity of fundamental studies on the distrubution characteristics of the strength of locally produced construction materials and those of the loads frequently encountered in the structural design.

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A Study on the Color Management Plan of Digital Printing for Indoor and Outdoor Advertisement (옥내외 광고용 디지털 인쇄의 색 관리 방안에 관한 연구)

  • Kim, Ju-Jung;Oh, Sung-Sang;Cho, Ga-Ram;Lee, Jae-Soo
    • Journal of the Korean Graphic Arts Communication Society
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    • v.31 no.1
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    • pp.15-37
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    • 2013
  • Split digital printing into interior and outdoors on present advertisement. When is printing machine for interior mainly, use ink of water-based type. Equipment of this type embodies high resolution, but ink special quality light stability is weak. Also, when is printing machine for outdoors, printing machines of solvent or UV type are used because of water resistance and light stability. This printing machines hard to embody ink special quality high resolution mainly. And because outside is far visibility range, is uncommon in case high resolution requires embodiment. Therefore, high resolution of inside is water-based type considering this item and outside printing machine of low resolution solvent type mainly announce. Also, divide into eco-friendly latex ink type that is announced to water-based, solvent, UV according to ink type and the latest market using in occasion of digital printing machine used as advertisement industry. Color management that is been consistent of original image has a lot of difficulties by using substrate that is also various to digital printing machine for such various advertisement. But, consumers is rising realization about color or desire about quality improvement of color gradually in interior outside advertisement market. So, require solution method. Therefore, in this paper, eco-friendly ink use applied device calibration through linearization in done latex digital printing machine to basis. And studied right color management plan of digital printing for interior outside advertisement through three steps such as G7 calibration application and ICC profile application.

Assessing the effect of inherent nonlinearities in the analysis and design of a low-rise base isolated steel building

  • Varnavaa, Varnavas;Komodromos, Petros
    • Earthquakes and Structures
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    • v.5 no.5
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    • pp.499-526
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    • 2013
  • Seismic isolation is an effective method for the protection of buildings and their contents during strong earthquakes. This research work aims to assess the appropriateness of the linear and nonlinear models that can be used in the analysis of typical low-rise base isolated steel buildings, taking into account the inherent nonlinearities of the isolation system as well as the potential nonlinearities of the superstructure in case of strong ground motions. The accuracy of the linearization of the isolator properties according to Eurocode 8 is evaluated comparatively with the corresponding response that can be obtained through the nonlinear hysteretic Bouc-Wen constitutive model. The suitability of the linearized model in the determination of the size of the required seismic gap is assessed, under various earthquake intensities, considering relevant methods that are provided by building codes. Furthermore, the validity of the common assumption of elastic behavior for the superstructure is explored and the alteration of the structural response due to the inelastic deformations of the superstructure as a consequence of potential collision to the restraining moat wall is studied. The usage of a nonlinear model for the isolation system is found to be necessary in order to achieve a sufficiently accurate assessment of the structural response and a reliable estimation of the required width of the provided seismic gap. Moreover, the simulations reveal that the superstructure's inelasticity should be taken into account, especially if the response of the structure under high magnitude earthquakes is investigated. The consideration of the inelasticity of the superstructure is also recommended in studies of structural collision of seismically isolated structures to the surrounding moat wall, since it affects the response.

Seismic Evaluation of Low-rise RC Building in korea (국내 저층구조물의 내진성능평가)

  • Park, Jin Hwa;Ahn, Tea Sang;Seo, Hyun Sik;Kim, Sang Dea
    • 한국방재학회:학술대회논문집
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    • 2011.02a
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    • pp.29-29
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    • 2011
  • 국내에서 기존건축물의 내진성능평가 기법이 연구되기 시작한지 20여 년간 다양한 평가방법이 제안되었다. 그러나, 제안된 평가방법은 미국이나 일본의 평가 방법을 도입 및 수정하는 내용이 주가 되어 국내실정에 맞지 않는 부분도 많이 발견되었다. 따라서 국내에서 제안된 기존 건축물의 내진성능 평가기법, 지진피해예측에 근거한 보강건축물의 합리적인 선정방법 및 이들 건축물에 적합한 내진보강방법 등의 연구는 아직까지 초보적인 단계라고 할 수 있다. 이에 본 연구의 목적은 이러한 평가 기법을 적용한 국내 저층구조물의 내진성능을 평가하는 것이다. 저층구조물의 내진성능을 평가하기 위하여 1988년 내진설계가 도입되기 이전에 건립된 4층 규모의 학교구조물을 해석대상 구조물로 선정하였다. 대상 해석구조물의 내진성능평가는 일본의 내진성능 평가법을 참고하여 평가절차가 다소 복잡한 부분을 국내 실정에 맞게 개선시킨 내진화 우선도 평가방법과 정밀한 내진성능을 평하는 방법으로 세계적으로 널리 사용되고 있는 ATC-40 성능평가방법에서 등가단자유 모델로 변환 과정에서 등가유효감쇠 및 등가유효주기 산정 관계식의 문제점을 개선한 FEMA-440의 선형화 성능평가방법(Linearization Method)을 사용하여 구조물의 성능을 평가하였다. 내진 성능 평가를 위해 현재 전 세계적으로 널리 사용되고 있는 구조물 비선형 전용 해석 프로그램인 Perform-3D를 이용하여 해석을 수행하였다. 본 연구를 통해 기존 저층구조물로 선정한 학교구조물에 대한 내진성능을 평가한 결과, 내진화 우선도 평가법 및 FEMA-440의 내진성능 평가는 유사한 경향의 결과를 나타내었고, 두 평가결과를 요약하면 Y방향은 보와 기둥에 끼인 조적벽체의 영향으로 별도의 내진성능이 향상 보강이 필요없으나, X방향은 창문하부 허리 조적벽 등의 영향으로 다소 취성적인 내진성능을 보유하고 있어 충분한 내진성능 확보를 위한 추가적인 보강이 필요한 것으로 판단된다.

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A Research on the Bandwidth Extension of an Analog Feedback Amplifier by Using a Negative Group Delay Circuit (마이너스 군지연 회로를 이용한 아날로그 피드백 증폭기의 대역폭 확장에 관한 연구)

  • Choi, Heung-Gae;Kim, Young-Gyu;Shim, Sung-Un;Jeong, Yong-Chae;Kim, Chul-Dong
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.21 no.10
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    • pp.1143-1153
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    • 2010
  • In this paper, we propose an alternative method to increase the distortion cancellation bandwidth of an analog RF feedback power amplifier by using a negative group delay circuit(NGDC). A limited distortion cancellation bandwidth due to the group delay(GD) mismatch discouraged the use of feedback technique in spite of its powerful linearization performance. With the fabricated NGDC with positive phase slope over frequency, the feedback amplifier of the proposed topology experimentally achieved adjacent channel leakage ratio(ACLR) improvement of 15 dB over 50 MHz bandwidth at wideband code division multiple access(WCDMA) downlink band when tested with 2-carrier WCDMA signal. At an average output power of 28 dBm, ACLR of 25.1 dB is improved to obtain -53.2 dBc at 5 MHz offset.