• 제목/요약/키워드: Saddle Point

검색결과 116건 처리시간 0.024초

잣죽의 제조과정에서 반응표면분석에 의한 관능적 특성의 최적 모니터링

  • 장선;이범수;은종방
    • 한국식품저장유통학회:학술대회논문집
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    • 한국식품저장유통학회 2003년도 제23차 추계총회 및 국제학술심포지움
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    • pp.225.1-225
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    • 2003
  • 잣을 이용한 쌀가루즉석죽 제조조건의 최적화와 제조조건에 따른 관능적 특성을 4차원 반응표면분석에 의하여 모니터링 하였다. 죽의 제조에 이용되는 잣은 가루같이 으깬 것을 첨가하는 것이 바람직하였다. 관능적 특성에 의한 잣죽의 점성에 대한 최적조건은 주입액의 양과 잣의 첨가비율이 각각 쌀가루 무게의 15.52배, 16%, 가열조리시간 7.79 분이었으며 이때 $R^2$는 0.9518, 관능평점은 7.45, 임계점은 maximum point였다. 색상에 대한 최적조건은 19.09배, 45%, 2.16분($R^2$=0.7917)이었고 관능평점은 5.44, saddle point였으며, 맛에 대한 최적조건은 12.90배, 22%, 11.40분($R^2$=0.9361), 관능평점은 7.11, maximum point였고, 향에 대한 최적조건은 15.06배, 20%, 4.9분($R^2$=0.8372), 관능평점은 6.16, saddle point였다. 관능적 특성을 모두 만족시켜주는 최적조건은 주입액의 양과 잣의 첨가비율이 각각 쌀가루무게의 16.86배와 15%, 가열조리시간 5.48분이었고 이때 $R^2$는 0.9738, 관능적 평점은 7.69, 임계점은 maximum point였다. 관능적 특성 중 점성은 맛과 전반적기호도에 큰 영향을 주었으며 상관계수는 각각 0.8173($R^2$=0.0001), 0.7878($R^2$=0.0002)이었고 맛은 향과 전반적인 기호도와 밀접한 관계가 있으며 상관계수는 각각 0.5196($R^2$=0.0325)과 0.7004($R^2$=0.0017)이었다.

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Some Properties on Receding Horizon $H_{\infty}$ Control for Nonlinear Discrete-time Systems

  • Ahn, Choon-Ki;Han, Soo-Hee;Kwon, Wook-Hyun
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.460-465
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    • 2004
  • In this paper, we present some properties on receding horizon $H_{\infty}$ control for nonlinear discrete-time systems. First, we propose the nonlinear inequality condition on the terminal cost for nonlinear discrete-time systems. Under this condition, noninceasing monotonicity of the saddle point value of the finite horizon dynamic game is shown to be guaranteed. We show that the derived condition on the terminal cost ensures the closed-loop internal stability. The proposed receding horizon $H_{\infty}$ control guarantees the infinite horizon $H_{\infty}$ norm bound of the closed-loop systems. Also, using this cost monotonicity condition, we can guarantee the asymptotic infinite horizon optimality of the receding horizon value function. With the additional condition, the global result and the input-to-state stable property of the receding horizon value function are also given. Finally, we derive the stability margin for the saddle point value based receding horizon controller. The proposed result has a larger stability region than the existing inverse optimality based results.

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센서 네트워크 환경에서 움직이는 소스 신호의 협업 검출 기법 (Cooperative Detection of Moving Source Signals in Sensor Networks)

  • 뉴엔후낫민;팜츄안;홍충선
    • 정보과학회 논문지
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    • 제44권7호
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    • pp.726-732
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    • 2017
  • 무선 센서 네트워크의 분산 센싱 및 예측에 대한 실제 Application에서 네트워크 환경 센싱 기능은 움직이는 소스 신호의 잡음 및 많은 센싱 정보들 때문에 매우 동적인 기능을 요구한다. 최근의 Distributed Online Convex Optimization 프레임워크는 분산된 방식으로 센서 네트워크를 통해 확률적인 학습 문제를 해결하기 위한 유망한 접근법으로 개발되었다. 기존의 Distributed Saddle Point Algorithm (DSPA)의 학습 결과에서 수렴 속도와 안정성은 이동성의 영향을 받을 수 있다. 이에 본 논문에서는 움직이는 소스 신호 시나리오의 동시 검출에서 예측을 안정화하고 보다 나은 수렵 속도를 달성하기 위해 통합 Sliding Windows 메커니즘을 제안한다.

표적 정보량을 최대화하는 피동 호밍궤적에 관한 고찰 (A Study on Passive Homing Trajectory for Maximizing Target Information)

  • 나원상;신효상;정보영;황익호
    • 전기학회논문지
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    • 제68권1호
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    • pp.172-181
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    • 2019
  • This paper deals with the problem of generating the energy optimal trajectory which is intended to enhance the target tracking performance of a passive homing missile. Noticing that the essence of passive target tracking is the range estimation problem, the target information gathered by passive measurements can be readily analyzed by introducing the range estimator designed in line-of-sight(LOS) frame. Moreover, for the linear filter structure of the suggested range estimator, the cost function associated with the target information is clearly expressed as a function of the line-of-sight rate. Based on this idea, the optimal missile trajectory maximizing the target information is obtained by solving the saddle point problem for an indefinite quadratic cost which consists of the target information and the energy. It is shown that, different from the previous heuristic approaches, the guidance command producing the optimal passive homing trajectory is produced by the modified proportional navigation guidance law whose navigation constant is determined by the weighting coefficient for target information cost.

막응력과 휨을 고려한 RC 쉘의 설계와 극한거동 (Combined membrane and flexural reinforcement design in RC shells and ultimate behavior)

  • 민창식
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 1998년도 가을 학술발표논문집(II)
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    • pp.405-411
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    • 1998
  • An iterative numerical computational algorithm is presented to design a plate of shell element subjected to membrane and flexural forces. Based on equilibrium consideration, equations for capacities of top and bottom reinforcements in two orthogonal directions have been derived. The amount of reinforcement is determined locally, i. e., for each sampling point, from the equilibrium between applied and internal forces. One case of design is performed for a hyperbolic paraboloid saddle shell (originally used by Lin and Scordelis) to check the design strength against a consistent design load, therefore, to verify the adequacy of design practice for reinforced concrete shells. Based on nonlinear analyses performed, the analytically calculated ultimate load exceeded the design ultimate load from 14-43% for an analysis with relatively low to high tension stiffening, ${\gamma}$ =5~20 cases. For these cases, the design method gives a lower bound on the ultimate load with respect to Lower bound theorem. This shows the adequacy of the current practice at least for this saddle shell case studied. To generalize the conclusion many more designs-analyses are performed with different shell configurations.

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고주파 래틀링 소음의 기초 연구 (A Basic Study of High Frequency Rattling Noise)

  • 이금정;박철희;주재만
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.88-93
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    • 1998
  • Since rattling noise, which occur in mechanical linkage with free play or glove boxes in passenger cars, play an important role in the generation of industrial noise and vibration, it is interest to study these dynamics. A difference equations are derived which described the motions of a mass constrained by pre-compressed spring and forced by a high frequency base excitation. Two types of saddle are founded from these difference equations and the stable and unstable manifolds are constructed in these saddle point. For a certain region in a parameter space of exciting displacement and coefficient of restitution, transversal intersections of stable and unstable manifolds exist. Therefore it is founded that there are large families of periodic and irregular non-periodic motions in rattling system i.e. chaos motion is observed.

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Static and dynamic stability of a single-degree-of-freedom autonomous system with distinct critical points

  • Sophianopoulos, D.S.
    • Structural Engineering and Mechanics
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    • 제4권5호
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    • pp.529-540
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    • 1996
  • The dynamic buckling mechanism of a single-degree-of-freedom dissipative/nondissipative gradient system is thoroughly studied, employing energy criteria. The model is chosen in such a manner, that its corresponding static response is associated with all types of distinct critical points. Under a suddenly applied load of infinite duration, it is found that dynamic buckling, occurring always through a saddle, leads to an escaped motion, which is finally attracted by remote stable equilibrium positions, belonging sometimes also to complementary paths. Moreover, although the existence of initial imperfection changes the static behaviour of the system from limit point instability to bifurcation, it is established that the proposed model is dynamically stable in the large, regardless of the values of all other parameters involved.

ON BIFURCATION MODES AND FORCED RESPONSES IN COUPLED NONLINEAR OSCILLATORS

  • Pak, Chol-Hui;Shin, Hyeon-Jae
    • Journal of Theoretical and Applied Mechanics
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    • 제1권1호
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    • pp.29-67
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    • 1995
  • A procedure is formulated, in this paper, to compute the bifurcation modes born by the stability change of normal modes, and to compute the forced responses associated with bifurcation modes in inertially and elastically coupled nonlinear oscillators. It is assumed that a saddle-loop is formed in Poincare map at the stability chage of normal modes. In order to test the validity of procedure, it is applied to one-to-one internal resonant systems in which the solutions are guaranteed within the order of a small perturbation parameter. The procedure is also applied to the exact system in which normal modes are written in exact form and the stability of normal modes can be exactly determined. In this system the stability change of normal modes occurs several times so that various types of bifurcation modes are created. A method is described to identify a fixed point on Poincare map as one of bifurcation modes. The limitations and advantage of proposed procedure are discussed.

돌출된 표면위의 층류유동에 대한 전산 해석적 연구 (II) - 위상학적, 기구학적 연구 - (Numerical Study of Laminar Flow over a Protruding Surface (II) - Topological and Kinematical Studies -)

  • 황종연;양경수
    • 대한기계학회논문집B
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    • 제23권11호
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    • pp.1426-1433
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    • 1999
  • Topological and kinematical studies of the singular points found in flows around a surface-mounted cube in a channel are presented. Numerical simulation was carried out using high-resolution grid systems. Singular points(saddles and nodes) were found around the cube, which satisfy the topological rules suggested by Hunt et al. As the Reynolds number increases, the structure of vortices around the cube becomes complex and the number of singular points increases. Nevertheless, the rule governing the numbers of singular points is still valid. This confirms that our simulation is correct from topological and kinematical point of view, and enables one to infer complex flow patterns in our simulation.

미강과 배아로부터 β-glucan의 추출조건 최적화 및 기능성 생리활성 (Optimization of β-Glucan Extraction Process from Rice Bran and Rice Germ Using Response Surface Methodology)

  • 전주영;박지해;김세환;최용희
    • 산업식품공학
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    • 제13권1호
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    • pp.8-15
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    • 2009
  • 본 연구에서는 미강과 배아로부터의 ${\beta}$-glucan 추출 공정 최적화를 위해 반응표면 분석법으로 모니터링 하였다. 중 심합성계획법에 따라 추출 온도($X_1$), 추출 시간($X_2$), 추출온도($X_3$)를 요인변수(Xn)로 하고 미강 추출물의 전자공여 능($Y_1$), 배아 추출물의 전자공여능($Y_2$), 미강 추출물의 total phenolics($Y_3$), 배아 추출물의 total phenolics($Y_4$), 미강 추출물의 ${\beta}$-glucan 함량($Y_5$), 배아 추출물의 ${\beta}$-glucan 함량 ($Y_6$)을 종속변수로 하여 시행하였다. 실험 결과 미강 추출물의 전자공여능도는 추출 온도에 영향을 받음을 알 수 있었다. 안장점에서 추출 조건은 추출 온도는 $60.41^{\circ}C$, 추출 시간은 2.75 min, 에탄올 농도 92.60%로 예측되었으며 이 때 84.02%로 비교적 높은 항산화 활성을 보여주었다. 배아 추출물의 전자공여능도의 안장점에서 추출 조건은 추출 온도 $54.40^{\circ}C$, 추출 시간 2.23 min, 에탄올 농도 87.52%였다. 미강 추출물의 total phenolics는 추출 온도와 에탄올 농도에 영향을 크게 받은 것으로 나타났고 안장점에서 추출 조건은 추출 온도 $40.26^{\circ}C$, 추출 시간 6.69 min, 에탄올 농도 98.56%로 예측 되었고 배아 추출물의 total phenolics는 최소점에서 추출온도 $53.67^{\circ}C$, 추출 시간 9.19 min, 에탄올 농도 95.73%에서 최대값을 나타내었다. 미강 추출물의 ${\beta}$-glucan 함량은 안장점일 때 추출 조건이 추출 온도 $64.69^{\circ}C$, 추출 시간 7.70 min, 에탄올 농도 96.23%로 나타났다. 배아 추출물의 ${\beta}$-glucan 함량은 추출 시간에 영향을 크게 받았으며 최소점에서 추출 온도 $50.03^{\circ}C$, 추출 시간 2.10 min, 에탄올 농도 87.82%에서 미강 추출물에서보다 더 높은 최대값을 나타내었다.