• 제목/요약/키워드: Uncertainty Theory

검색결과 571건 처리시간 0.035초

시간지연을 갖는 불확정성 선형 시스템의 강인 안정성에 관한 연구 (A Study on Robust Stability of Uncertain Linear Systems with Time-delay)

  • 이희송;마삼선;유정웅;김진훈
    • 대한전기학회논문지:전력기술부문A
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    • 제48권5호
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    • pp.615-621
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    • 1999
  • In this paper, we consider the robust stability of uncertain linear systems with time-delay in the time domain. The considered uncertainties are both the unstructured uncertainty which is only Known its norm bound and the structured uncertainty which is known its structured. Based on Lyapunov stability theorem and{{{{ { H}_{$\infty$ } }}}} theory known as Strictly Bounded Real Lemma (SBRL), we present new conditions that guarantee the robust stability of system. Also, we extend this to multiple time-varying delays systems and large-scale systems, respectively. Finally, we show the usefulness of our results by numerical examples.

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Improving streamflow and flood predictions through computational simulations, machine learning and uncertainty quantification

  • Venkatesh Merwade;Siddharth Saksena;Pin-ChingLi;TaoHuang
    • 한국수자원학회:학술대회논문집
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    • 한국수자원학회 2023년도 학술발표회
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    • pp.29-29
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    • 2023
  • To mitigate the damaging impacts of floods, accurate prediction of runoff, streamflow and flood inundation is needed. Conventional approach of simulating hydrology and hydraulics using loosely coupled models cannot capture the complex dynamics of surface and sub-surface processes. Additionally, the scarcity of data in ungauged basins and quality of data in gauged basins add uncertainty to model predictions, which need to be quantified. In this presentation, first the role of integrated modeling on creating accurate flood simulations and inundation maps will be presented with specific focus on urban environments. Next, the use of machine learning in producing streamflow predictions will be presented with specific focus on incorporating covariate shift and the application of theory guided machine learning. Finally, a framework to quantify the uncertainty in flood models using Hierarchical Bayesian Modeling Averaging will be presented. Overall, this presentation will highlight that creating accurate information on flood magnitude and extent requires innovation and advancement in different aspects related to hydrologic predictions.

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다중최적화기법을 이용한 강우-유사-유출 예측 불확실성 평가 (Assessment of Rainfall-Sediment Yield-Runoff Prediction Uncertainty Using a Multi-objective Optimization Method)

  • 이기하;유완식;정관수;조복환
    • 한국수자원학회논문집
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    • 제43권12호
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    • pp.1011-1027
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    • 2010
  • 모형의 구조, 모델링에 사용되는 자료, 매개변수 등에 포함된 다양한 불확실성 원인들은 수문모의 및 예측결과에 있어 불확실성을 야기한다. 본 연구에서는 강우-유출 및 강우-유사유출 모의가 가능한 분포형 강우-유사-유출 모형을 용담댐 상류유역인 천천유역에 적용하여 수문곡선 및 유사량곡선의 재현성을 평가하고, 다중최적화기법인 MOSCEM을 이용하여 강우-유출 모듈, 강우-유사유출 모듈의 매개변수를 독립적으로 보정한 경우(Case I과 II), 그리고 두 모듈이 결합된 강우-유사-유출 모형의 매개변수를 동시에 보정한 경우(Case III)에 대하여 Pareto 최적해를 추정하고, 이에 따른 수문 예측결과의 불확실성을 평가한다. 매개변수 불확실성의 전이에 따른 수문곡선의 불확실성 평가 결과(Case I), 모의기간 동안 고유량보다는 저유량 부분에서 불확실성 범위가 두드러졌으며, 이에 반해, 유사량곡선의 경우(Case II) 저농도보다는 고농도 부분에서 불확실성 범위가 넓게 분포하였다. 강우-유사-유출 모형의 매개변수의 불확실성을 동시에 추정한 경우 수문곡선 및 유사량곡선 모두 Case I과 II에 비해 모의기간 전반에 걸쳐 불확실성 범위가 넓게 분포되었으며, 매개 변수의 불확실성으로 인해 대상유역내 격자별 침식 및 퇴적 공간분포 양상이 상이하게 나타났다.

Oral Health Diagnosis by Using Combination of Evidence in Dezert-Smarandache Theory

  • Fadhillah, Muhammad Kamil;Listio, Syntia;Choi, Yong Keum;Lee, Hyun
    • International journal of advanced smart convergence
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    • 제7권4호
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    • pp.185-196
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    • 2018
  • Based on World Health Organization (WHO) children and adults have a problem with their oral health, such as Dental cavities and periodontal disease. It is not easy to obtain the high convince level of result of the dental and periodontal diseases. Because each of them have different degrees of uncertainty and there have several discounting factors (error rates) in different of survey. To solve this problem we propose the Dezert-Smarandache Theory (DSmT) for efficient combination of uncertain, imprecise and highly conflicting sources of information. Moreover, we apply the SEFP as a context reasoning. Finally, we make the simulation by using 12 surveys and compare Propotional Conflict Redistribution 5 (PCR5) and Dempster-Shafer Theory (DST) to show the belief or probability for the low, a heavy, high and ultra-high risk situation.

BL-Algebras Based on Soft Set Theory

  • Jun, Young-Bae;Zhan, Jianming
    • Kyungpook Mathematical Journal
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    • 제50권1호
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    • pp.123-129
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    • 2010
  • Molodtsov introduced the concept of soft sets, which can be seen as a new mathematical tool for dealing with uncertainty. In this paper, we initiate the study of soft BL-algebras by using the soft set theory. The notion of filteristic soft BL-algebras is introduced and some related properties are investigated.

회전 관절형 로봇 매니플레이터의 강인제어 (Robust Control of a Robot Manipulator with Revolute Joints)

  • 신규현;이수한
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2002년도 추계학술대회 논문집
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    • pp.435-438
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    • 2002
  • In this paper, a robust controller is proposed to control a robot manipulator which is governed by highly nonlinear dynamic equations. The controller is computationally efficient since it does not require the dynamic model or parameter values of a robot manipulator. It, however, requires uncertainty bounds which are derived by using properties of serial link robot dynamics. The stability of the robot with the controller is proved by Lyapunov theory. The results of computer simulations show that the robot system is stable, and has excellent trajectory tracking performance.

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Bayesian estimation of tension in bridge hangers using modal frequency measurements

  • Papadimitriou, Costas;Giakoumi, Konstantina;Argyris, Costas;Spyrou, Leonidas A.;Panetsos, Panagiotis
    • Structural Monitoring and Maintenance
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    • 제3권4호
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    • pp.349-375
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    • 2016
  • The tension of an arch bridge hanger is estimated using a number of experimentally identified modal frequencies. The hanger is connected through metallic plates to the bridge deck and arch. Two different categories of model classes are considered to simulate the vibrations of the hanger: an analytical model based on the Euler-Bernoulli beam theory, and a high-fidelity finite element (FE) model. A Bayesian parameter estimation and model selection method is used to discriminate between models, select the best model, and estimate the hanger tension and its uncertainty. It is demonstrated that the end plate connections and boundary conditions of the hanger due to the flexibility of the deck/arch significantly affect the estimate of the axial load and its uncertainty. A fixed-end high fidelity FE model of the hanger underestimates the hanger tension by more than 20 compared to a baseline FE model with flexible supports. Simplified beam models can give fairly accurate results, close to the ones obtained from the high fidelity FE model with flexible support conditions, provided that the concept of equivalent length is introduced and/or end rotational springs are included to simulate the flexibility of the hanger ends. The effect of the number of experimentally identified modal frequencies on the estimates of the hanger tension and its uncertainty is investigated.

Uncertainty effects of soil and structural properties on the buckling of flexible pipes shallowly buried in Winkler foundation

  • Khemis, Asma;Chaouche, Abdelmadjid Hacene;Athmani, Allaeddine;Tee, Kong Fah
    • Structural Engineering and Mechanics
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    • 제59권4호
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    • pp.739-759
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    • 2016
  • The failure of civil engineering systems is a consequence of decision making under uncertain conditions. Generally, buried flexible pipes are designed for their transversal behavior to prevent from the important failure mode of buckling. However, the interaction effects between soil and pipe are neglected and the uncertainties in their properties are usually not considered in pipe design. In this regard, the present research paper evaluates the effects of these uncertainties on the uncertainty of the critical buckling hoop force of flexible pipes shallowly buried using the subgrade reaction theory (Winkler model) and First-Order Second-Moment (FOSM) method. The results show that the structural uncertainties of the studied pipes and those of the soil properties have a significant effect on the uncertainty of the critical buckling hoop force, and therefore taking into account these latter in the design of the shallowly flexible pipes for their buckling behavior is required.

베이지안 접근법과 모수불확실성을 반영한 보험위험 측정 모형 (Bayesian analysis of insurance risk model with parameter uncertainty)

  • 조재린;지혜수;이항석
    • Journal of the Korean Data and Information Science Society
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    • 제27권1호
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    • pp.9-18
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    • 2016
  • 모수불확실성을 반영하는 손실모형으로는 Heckman과 Meyers가 제안한 모형이 주로 인용되고 있다. 이 모형은 모수 자체가 어떤 확률분포를 따른다는 가정을 하고 있으며 IAA, Swiss Solvency Test, EU Solvency II 등에서 참고하고 있다. 반면 베이지안 기법을 이용한 연구는 모수에 대한 선험적 정보 즉, 사전분포를 이용하여 모수불확실성을 반영한다. 그러나 현실에서는 두 가지 방법을 동시에 고려해야 하는 상황이 빈번히 발생한다. 이에 본 연구는 Heckman-Meyers의 모형과 베이지안 접근법을 동시에 고려한 베이지안 H-M CRM모형을 제안하고 그 특성을 분석하였다.

Uncertainty in Scenarios and Its Impact on Post Closure Long Term Safety Assessment in a Potential HLW Repository

  • Y.S. Hwang;Kim, S-K;Kang, C-H
    • Nuclear Engineering and Technology
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    • 제35권2호
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    • pp.108-120
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    • 2003
  • In assessing the long term post closure radiological safety assessment of a potential HLW repository in Korea, three categories of uncertainties exist. The first one is the scenario uncertainty where series of different natural events are translated into written statements. The second one is the modeling uncertatinty where different mathematical models are applied for an identical scenario. The last one is the data uncertainty which can be expressed in terms of probabilistic density functions. In this analysis, three different scenarios are seleceted; a small well scenario, a radiolysis scenario, and a naturally discharged scenario. The MASCOT-K and the AMBER, probabilistic safety assessment codes based on connection of sub-modules and a compartment theory respectively, are applied to assess annual individual doses for a generic biosphere. Results illustrate that for a given scenario, predictions from two different codes fairly match well each other But the discrepancies for the different scenarios are significant. However, total doses are still well below the guideline of 2 mRem/yr. Detailed analyses with model and data uncertainties are underway to further assure the safety of a Korean reference dispsoal concept.