• 제어로봇시스템학회논문지
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• 제7권11호
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• pp.896-903
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• 2001

This study investigates the use of mixed $H_2/H_{$\infty}$ and $\mu$-synthesis to construct a robust controller for the benchmark problem. The model treated in the problem is a coupled three-inertial system that reflects the dynamics of mechanical vibrations. This kind of problem requires to be satisfied the robust performance (both in the time and frequency-domain specifications). We, first, adopt the mixed $H_2/H_{$\infty}$ theory to design a feedback controller K(s). Next, $\mu$-synthesis method is applied to the overall system to make use of structured parametric uncertainty. This process permits higher levels of controller authority and reduces the conservativeness of the controller. Finally, the feedforward controller is also used to improve the transient response of the output. We confirm that all design specifications except a complementary sensitivity condition can be achieved.

• Journal of applied mathematics & informatics
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• 제42권2호
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• pp.379-390
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• 2024

This study proposes a fuzzy inventory model for managing large-scale production, incorporating cost considerations. The model accounts for two types of expenditure scenarios-parametric and exponential. Uncertainty surrounds holding costs, setup costs, and demand rates. The approach considers a supply chain system with a complex manufacturing process, factoring in transportation costs based on the quantity of goods and distance between the supplier and retailer. The initial crisp model is then transformed into a fuzzy simulation, incorporating specific fuzzy variables affecting inventory costs. The proposed method significantly reduces overall inventory costs for the entire supply chain. Retailer demand is linked to inventory levels, and vendor/distributor storage deteriorates over time. The fuzzy condition assumes hexagonal variables for all associated factors. The study employs the signed distance method for defuzzification to determine the optimal order quantity with hexagonal fuzzy numbers. Mathematical examples are provided to illustrate the practicality of the proposed approach.

• 한국터널지하공간학회 논문집
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• 제6권1호
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• pp.25-40
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• 2004

밀장전한 암반발파공에서 화약폭발로 전파되는 초음속 충격파는 암반중에 전파되면서 차자로 저음속 충격파, 소성파, 탄성파로 변화된다. 이 연구는 발파압력파의 최대압력 도달시간 산정에 중점을 두었고 연계된 논문 I (the companion paper)에서는 최대 발파업력 산정에 중점을 두었다. 이 연구에서 최대압력 도달시간을 화약밀도, 단열지수, 폭광파속도, 감쇠지수, 동적항복강도, 소성파속도, 암반밀도, 탄성파속도, Hugoniot 상수의 함수식으로 유도하였다 최대합력 도달시간에 대한 매개변수분석 결과 암반특성치가 화약특성치보다 더 크게 영향을 미쳤다. 최대압력 도달시간의 확률분포는 화약과 암반 특성치의 확률분포로부터 Rosenblueth 확률모델로 조합하여 산출되었다. 화약과 암반특성의 불확정성이 발파진동의 불확정성에 미치는 영향을 수치해석으로 분석하였다. 불확정성 분석결괴 화약특성보다 암반특성의 불확정성이 발파진동에 더 크게 영향을 미쳤다. 수치해석 분석결괴 최대 발파양력과 최대양력 도달시간의 바인 하중재하율이 발파진동에 큰 영향을 미쳤다. 또한 화약특성보다 암반특성이 하중재하율에 더 크게 영향을 미쳤다.

• 한국지진공학회논문집
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• 제28권5호
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• pp.285-294
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• 2024

Seismic fragility curves present the conditional probability of damage to target structures due to external seismic load and are widely used in various ways. When constructing such a seismic fragility curve, it is essential to consider various types and numbers of ground motions. In general, the earthquake occurrence characteristics of an area where the target structure of the seismic fragility curve exists are analyzed, and based on this, appropriate ground motions are selected to derive the seismic fragility curve. If the number of selected ground motions is large, the diversity of ground motions is considered, but a large amount of computational time is required. Conversely, if the number of ground motions is too small, the diversity of ground motions cannot be considered, which may distort the seismic fragility curve. Therefore, this study analyzed the relationship between the number of ground motions considered when deriving the seismic fragility curve and the parameters of the seismic fragility curve. Using two example structures, numerical analysis was performed by selecting a random number of ground motions from a total of two hundred, and a seismic fragility curve was derived based on the results. Analysis of the relationship of the parameter of the seismic fragility curve and the number of selected ground motions was performed. As the number of ground motions considered increases, uncertainty in ground motion selection decreases, and when deriving seismic fragility curves considering the same number of ground motions, uncertainty increases relatively as the degree of freedom of the target structure increases. However, considering a relatively large number of ground motions, uncertainty appeared insignificant regardless of increased degrees of freedom. Finally, it is possible that the increase in the number of ground motions could lower the epistemic uncertainty and thus improve the reliability of the results.

• 한국수자원학회논문집
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• 제55권3호
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• pp.177-189
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• 2022

본 연구는 저빈도·고강도의 확률강우량 산정을 위해, 대규모 기후 앙상블 모의실험으로 생성된 d4PDF (Data for Policy Decision Making for Future Change)를 적용하는 것을 목적으로 수행되었다. 또한, d4PDF를 이용하여 산정된 확률강우량과 관측 자료 및 빈도해석을 통해서 산정된 확률강우량을 비교함으로써 빈도해석 과정의 적용에 따라 발생하는 불확실성을 분석하였다. 이와 같은 연구는 금산, 임실, 전주, 장수 관측소를 대상으로 수행되었다. d4PDF 자료는 총 50개의 앙상블로 구성되어있으며, 하나의 앙상블은 60년동안의 기상자료를 제공하기 때문에 한 지점에서 3,000개의 연 최대 일 강우량을 수집하는 것이 가능했다. 이와 같은 d4PDF의 특징을 토대로 본 연구는 빈도해석 방법을 적용하지 않고, 3000개의 연 최대 일강수량을 비모수적 접근법(Non-parametric approach)에 따라 규모별로 나열하여, 10년부터 1000년의 재현기간을 갖는 확률강우량을 산정했다. 그 후, 관측 자료와 Gumbel 및 GEV (General extreme value) 분포를 토대로 산정된 확률강우량과의 편차를 산정하였다. 그 결과, 재현기간과 관측 기간의 차이가 증가할수록 이 편차가 증가하였으며, 이 결과는 짧은 관측 기간과 빈도해석의 적용은 재현기간이 증가할수록 신뢰하기 어려운 확률강우량을 제시한다는 것을 의미한다. 반면에, d4PDF는 대규모 표본을 이용함으로써 이와 같은 불확실성을 최소화시켜 합리적인 저빈도·고강도의 확률강우량을 제시하였다.

• 동력기계공학회지
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• 제17권3호
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• pp.72-81
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• 2013

Many articles have been published about a 2-degree of freedom model that includes the lateral and yaw motions for controller synthesis in intelligent transport system applications. In this paper, a 3-degree of freedom linear model that includes the roll motion is developed to design a robust steering controller for lane following maneuvers using ${\mu}$-synthesis. This linear perturbed system includes a set of parametric uncertainties in cornering stiffness and unmodelled dynamics in steering actuators. The state-space model with parametric uncertainties is represented in linear fractional transformation form. Design purpose can be obtained by properly choosing the frequency dependent weighting functions. The objective of this study is to keep the tracking error and steering input energy small in the presence of variations of the cornering stiffness coefficients. Furthermore, good ride quality has to be achieved against these uncertainties. Frequency-domain analyses and time-domain numerical simulations are carried out in order to evaluate these performance specifications of a given vehicle system. Finally, the simulation results indicate that the proposed robust controller achieves good performance over a wide range of uncertainty for the given maneuvers.

• 한국안전학회지
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• 제35권3호
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• pp.49-57
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• 2020

In comparison with the existing static reliability analysis methods, the dynamic reliability analysis(DyRA) method is more suitable for estimating the failure probability of a structure subjected to earthquake excitations because it can take into account the frequency characteristics and damping capacity of the structure. However, the DyRA is known to have an issue of numerical stability due to the uncertainty in random sampling of the earthquake excitations. In order to solve this numerical stability issue in the DyRA approach, this study proposed two earthquake-scale factors. The first factor is defined as the ratio of the first earthquake excitation over the maximum value of the remaining excitations, and the second factor is defined as the condition number of the matrix consisting of the earthquake excitations. Then, we have performed parametric studies of two factors on numerical stability of the DyRA method. In illustrative example, it was clearly confirmed that the two factors can be used to verify the numerical stability of the proposed DyRA method. However, there exists a difference between the two factors. The first factor showed some overlapping region between the stable results and the unstable results so that it requires some additional reliability analysis to guarantee the stability of the DyRA method. On the contrary, the second factor clearly distinguished the stable and unstable results of the DyRA method without any overlapping region. Therefore, the second factor can be said to be better than the first factor as the criterion to determine whether or not the proposed DyRA method guarantees its numerical stability. In addition, the accuracy of the numerical analysis results of the proposed DyRA has been verified in comparison with those of the existing first-order reliability method(FORM), Monte Carlo simulation(MCS) method and subset simulation method(SSM). The comparative results confirmed that the proposed DyRA method can provide accurate and reliable estimation of the structural failure probability while maintaining the superior numerical efficiency over the existing methods.

• Journal of Radiation Protection and Research
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• 제41권2호
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• pp.149-154
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• 2016

Background: Any real application of Bayesian inference must acknowledge that both prior distribution and likelihood function have only been specified as more or less convenient approximations to whatever the analyzer's true belief might be. If the inferences from the Bayesian analysis are to be trusted, it is important to determine that they are robust to such variations of prior and likelihood as might also be consistent with the analyzer's stated beliefs. Materials and Methods: The robust Bayesian inference was applied to atmospheric dispersion assessment using Gaussian plume model. The scopes of contaminations were specified as the uncertainties of distribution type and parametric variability. The probabilistic distribution of model parameters was assumed to be contaminated as the symmetric unimodal and unimodal distributions. The distribution of the sector-averaged relative concentrations was then calculated by applying the contaminated priors to the model parameters. Results and Discussion: The sector-averaged concentrations for stability class were compared by applying the symmetric unimodal and unimodal priors, respectively, as the contaminated one based on the class of ${\varepsilon}$-contamination. Though ${\varepsilon}$ was assumed as 10%, the medians reflecting the symmetric unimodal priors were nearly approximated within 10% compared with ones reflecting the plausible ones. However, the medians reflecting the unimodal priors were approximated within 20% for a few downwind distances compared with ones reflecting the plausible ones. Conclusion: The robustness has been answered by estimating how the results of the Bayesian inferences are robust to reasonable variations of the plausible priors. From these robust inferences, it is reasonable to apply the symmetric unimodal priors for analyzing the robustness of the Bayesian inferences.

• 한국터널지하공간학회 논문집
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• 제5권2호
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• pp.161-174
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• 2003

터널의사결정체계중의 하나인 DAT기법의 효용성 평가를 위해서 현재 시공중인 2차로 병설터널현장에 적용하였다. 이를 위해 지질조건, 굴착패턴, 설계단가 등으로부터 지질모듈과 시공모듈 자료를 입력하고, 병설터널 시공과정 모사를 위해 위치별로 다양한 시뮬레이션을 수행하였다. 그 결과 다양한 공기-공사비 분포를 얻을 수 있었으며, 각 시공과정마다 각기 다른 분포 특성을 분석하였다. "each cycle" 시뮬레이션은 공기분포에 비해 공사비의 불확실성 분포가 더 크게 나타났으며, "one time" 시뮬레이션에 비해 공기분포의 불확실성은 작게 나타남을 알 수 있었다. 향후 현장자료의 지속적인 갱신과 다양한 매개변수 연구를 통해 이러한 불확실성을 줄여나갈 것이다.

• 한국농공학회논문집
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• 제57권5호
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• pp.1-12
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• 2015

The study aimed to project inflows and demmands for the agricultural reservoir watersheds in South Korea considering a variety of regional characteristics and the uncertainty of future climate information. The study bias-corrected and spatially downscaled retrospective daily Global Climate Model (GCM) outputs under Representative Concentration Pathways (RCP) 4.5 and 8.5 emission scenarios using non-parametric quantile mapping method to force Soil and Water Assessment Tool (SWAT) model. Using the historical simulation, the skills of un-calibrated SWAT model (without calibration process) was evaluated for 5 reservoir watersheds (selected as well-monitored representatives). The study then, evaluated the performance of 9 GCMs in reproducing historical upstream inflow and irrigation demand at the five representative reservoirs. Finally future inflows and demands for 58 watersheds were projected using 9 GCMs projections under the two RCP scenarios. We demonstrated that (1) un-calibrated SWAT model is likely applicable to agricultural watershed, (2) the uncertainty of future climate information from different GCMs is significant, (3) multi-model ensemble (MME) shows comparatively resonable skills in reproducing water balances over the study area. The results of projection under the RCP 4.5 and RCP 8.5 scenario generally showed the increase of inflow by 9.4% and 10.8% and demand by 1.4% and 1.7%, respectively. More importantly, the results for different seasons and reservoirs varied considerably in the impacts of climate change.