• 제목/요약/키워드: moment convergence

검색결과 214건 처리시간 0.203초

부력 및 모멘트 제어를 이용한 수중글라이더의 안정화: 피드백 선형화 접근법 (Stabilization of Underwater Glider by Buoyancy and Moment Control: Feedback Linearization Approach)

  • 지성철;이호재;김문환;문지현
    • 한국해양공학회지
    • /
    • 제28권6호
    • /
    • pp.546-551
    • /
    • 2014
  • This paper addresses a feedback linearization control problem for the nonlinear dynamics of an underwater glider system. We consider the buoyancy and moment as control inputs, which come from the mass variation and elevator control, respectively. Moment-to-force coupling increases the nonlinearities, which make the controller design difficult. By using a feedback linearization technique, we convert the nonlinear underwater glider to an equivalent linear model and design a linear controller. The controller for the equivalent converted linear system is designed using sufficient conditions in terms of linear matrix inequalities. Then, the control input of the nonlinear model of an underwater glider is formulated from the linear control input. An experimental examination is implemented to verify the effectiveness of the proposed technique.

Nonparametric Detection of a Discontinuity Point in the Variance Function with the Second Moment Function

  • Huh, Jib
    • Journal of the Korean Data and Information Science Society
    • /
    • 제16권3호
    • /
    • pp.591-601
    • /
    • 2005
  • 지금까지 회귀모형에서 불연속점의 추정은 주로 평균함수에 대해 연구되어져 왔다. 분산함수는 평균함수와 더불어 회귀모형의 연구에 매우 중요한 함수이며 이 함수가 불연속일 때의 연구는 활발히 이루어지지 않았다. Delgado와 Hidalgo (2000)와 Perron(2001)은 시계열모형에서는 비모수적 추정법에 의해 분산함수의 추정을 연구하였다. Huh와 Kang (2004)은 Perron의 추정법을 회귀모형에 적용하여 분산함수의 불연속점의 추정에 대하여 연구하였고, Perron의 추정량보다 수렴속도가 개선된 불연속점 추정량을 제안하였다 이러한 분산함수의 추정들은 잔차의 제곱을 이용한 것으로 평균함수의 추정이 필수적이다. 결국, 전체적인 계산량이 늘어나게 되고, 늘어난 만큼 불연속점 추정의 정도가 벌어지게 될 것이다. 만약, 평균함수가 연속이고 분산함수만 불연속이라면 굳이 잔차를 이용하여 분산함수의 불연속점을 추정할 필요 없다. 분산함수만 불연속점을 가지므로 이차적률함수의 불연속점이 곧 분산함수의 불연속점이므로 이차함수의 불연속점을 추정하는 것으로 충분하다. 평균함수와 분산함수 모두 불연속이라면 불연속점의 위치가 같으므로 평균함수의 불연속점의 위치를 추정하면 분산함수의 불연속점의 위치를 추정하게 되는 것이다. 따라서 이 논문에서는 이차적률함수의 불연속점을 추정하는 방법을 제안하였고 이 제안된 추정량들의 수렴속도가 잔차를 이용한 Huh와 Kang의 분산함수의 불연속점 추정량의 수렴속도와 같음을 보였고, 모의실험 결과에서는 우수함을 보여주었다.

  • PDF

CONVERGENCE PROPERTIES FOR THE PARTIAL SUMS OF WIDELY ORTHANT DEPENDENT RANDOM VARIABLES UNDER SOME INTEGRABLE ASSUMPTIONS AND THEIR APPLICATIONS

  • He, Yongping;Wang, Xuejun;Yao, Chi
    • 대한수학회보
    • /
    • 제57권6호
    • /
    • pp.1451-1473
    • /
    • 2020
  • Widely orthant dependence (WOD, in short) is a special dependence structure. In this paper, by using the probability inequalities and moment inequalities for WOD random variables, we study the Lp convergence and complete convergence for the partial sums respectively under the conditions of RCI(α), SRCI(α) and R-h-integrability. We also give an application to nonparametric regression models based on WOD errors by using the Lp convergence that we obtained. Finally we carry out some simulations to verify the validity of our theoretical results.

Probabilistic computation of the structural performance of moment resisting steel frames

  • Ceribasi, Seyit
    • Steel and Composite Structures
    • /
    • 제24권3호
    • /
    • pp.369-382
    • /
    • 2017
  • This study investigates the reliability of the performance levels of moment resisting steel frames subjected to lateral loads such as wind and earthquake. The reliability assessment has been performed with respect to three performance levels: serviceability, damageability, and ultimate limit states. A four-story moment resisting frame is used as a typical example. In the reliability assessment the uncertainties in the loadings and in the capacity of the frame have been considered. The wind and earthquake loads are assumed to have lognormal distribution, and the frame resistance is assumed to have a normal distribution. In order to obtain an appropriate limit state function a linear relation between the loading and the deflection is formed. For the reliability analysis an algorithm has been developed for determination of limit state functions and iterations of the first order reliability method (FORM) procedure. By the method presented herein the multivariable analysis of a complicated reliability problem is reduced to an S-R problem. The procedure for iterations has been tested by a known problem for the purpose of avoiding convergence problems. The reliability indices for many cases have been obtained and also the effects of the coefficient of variation of load and resistance have been investigated.

A performance based strategy for design of steel moment frames under blast loading

  • Ashkezari, Ghasem Dehghani
    • Earthquakes and Structures
    • /
    • 제15권2호
    • /
    • pp.155-164
    • /
    • 2018
  • Design of structures subjected to blast loads are usually carried out through nonlinear inelastic dynamic analysis followed by imposing acceptance criteria specified in design codes. In addition to comprehensive aspects of inelastic dynamic analyses, particularly in analysis and design of structures subjected to transient loads, they inherently suffer from convergence and computational cost problems. In this research, a strategy is proposed for design of steel moment resisting frames under far range blast loads. This strategy is inspired from performance based seismic design concepts, which is here developed to blast design. For this purpose, an algorithm is presented to calculate the capacity modification factors of frame members in order to simplify design of these structures subjected to blast loading. The present method provides a simplified design procedure in which the linear dynamic analysis is preformed, instead of the time-consuming nonlinear dynamic analysis. Nonlinear and linear analyses are accomplished in order to establish this design procedure, and consequently the final design procedure is proposed as a strategy requiring only linear structural analysis, while acceptance criteria of nonlinear analysis is implicitly satisfied.

APPROXIMATION BY GENUINE LUPAŞ-BETA-STANCU OPERATORS

  • KUMAR, ALOK;VANDANA, VANDANA
    • Journal of applied mathematics & informatics
    • /
    • 제36권1_2호
    • /
    • pp.15-28
    • /
    • 2018
  • In this paper, we introduce a Stancu type generalization of genuine LupaŞ-Beta operators of integral type. We establish some moment estimates and the direct results in terms of classical modulus of continuity, Voronovskaja-type asymptotic theorem, weighted approximation, rate of convergence and pointwise estimates using the Lipschitz type maximal function. Lastly, we propose a king type modification of these operators to obtain better estimates.

PRECISE ASYMPTOTICS OF MOVING AVERAGE PROCESS UNDER ?-MIXING ASSUMPTION

  • Li, Jie
    • 대한수학회지
    • /
    • 제49권2호
    • /
    • pp.235-249
    • /
    • 2012
  • In the paper by Liu and Lin (Statist. Probab. Lett. 76 (2006), no. 16, 1787-1799), a new kind of precise asymptotics in the law of large numbers for the sequence of i.i.d. random variables, which includes complete convergence as a special case, was studied. This paper is devoted to the study of this new kind of precise asymptotics in the law of large numbers for moving average process under $\phi$-mixing assumption and some results of Liu and Lin [6] are extended to such moving average process.

교축방향 인장이음에 관한 연구 (The Study of Longitudinal Joint with Tensile Grip Connection in Highway Bridges)

  • 서성탁
    • 한국산업융합학회 논문집
    • /
    • 제9권2호
    • /
    • pp.155-160
    • /
    • 2006
  • 합성상판을 시공하는 경우 교축방향에 분할된 저강판을 접합 일체화해야 한다. 본 논문에서는 강 콘크리트 합성상판을 대상으로 3종류의 배력철근 방향 이음구조를 제안하며, 보 공시체에 의한 정적 정점피로 실험한다. 그 결과 보의 피로실험 결과 저강판 혹은 고력볼트가 피로파단 하였으며, 3차원 FEM해석에 이음부의 휨 강성도 및 피로강도에 대해서 해석적으로 검토된다.

  • PDF

THE SEQUENTIAL UNIFORM LAW OF LARGE NUMBERS

  • Bae, Jong-Sig;Kim, Sung-Yeun
    • 대한수학회보
    • /
    • 제43권3호
    • /
    • pp.479-486
    • /
    • 2006
  • Let $Z_n(s,\;f)=n^{-1}\;{\sum}^{ns}_{i=1}(f(X_i)-Pf)$ be the sequential empirical process based on the independent and identically distributed random variables. We prove that convergence problems of $sup_{(s,\;f)}|Z_n(s,\;f)|$ to zero boil down to those of $sup_f|Z_n(1,\;f)|$. We employ Ottaviani's inequality and the complete convergence to establish, under bracketing entropy with the second moment, the almost sure convergence of $sup_{(s,\;f)}|Z_n(s,\;f)|$ to zero.

모멘트 변화와 객체 크기 비율을 이용한 객체 행동 및 위험상황 인식 (Object-Action and Risk-Situation Recognition Using Moment Change and Object Size's Ratio)

  • 곽내정;송특섭
    • 한국멀티미디어학회논문지
    • /
    • 제17권5호
    • /
    • pp.556-565
    • /
    • 2014
  • This paper proposes a method to track object of real-time video transferred through single web-camera and to recognize risk-situation and human actions. The proposed method recognizes human basic actions that human can do in daily life and finds risk-situation such as faint and falling down to classify usual action and risk-situation. The proposed method models the background, obtains the difference image between input image and the modeled background image, extracts human object from input image, tracts object's motion and recognizes human actions. Tracking object uses the moment information of extracting object and the characteristic of object's recognition is moment's change and ratio of object's size between frames. Actions classified are four actions of walking, waling diagonally, sitting down, standing up among the most actions human do in daily life and suddenly falling down is classified into risk-situation. To test the proposed method, we applied it for eight participants from a video of a web-cam, classify human action and recognize risk-situation. The test result showed more than 97 percent recognition rate for each action and 100 percent recognition rate for risk-situation by the proposed method.