• 제목/요약/키워드: time step

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HS 최적화 알고리즘을 이용한 계단응답과 연속시스템 인식 (Identification of Continuous System from Step Response using HS Optimization Algorithm)

  • 이태봉;손진근
    • 전기학회논문지P
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    • 제65권4호
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    • pp.292-297
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    • 2016
  • The first-order plus dead time(FOPDT) and second-order plus dead time(SOPDT), which describes a linear monotonic process quite well in most chemical and industrial processes and is often sufficient for PID and IMC controller tuning. This paper presents an application of heuristic harmony search(HS) optimization algorithm to the identification of linear continuous time-delay systems from step response. This recently developed HS algorithm is conceptualized using the musical process of searching for a perfect state of harmony. It uses a stochastic random search instead of a gradient search so that derivative information is unnecessary. The effectiveness of the proposed identification method has been demonstrated through a number of simulation examples.

MATHEMATICAL UNDERSTANDING OF CONSCIOUSNESS AND UNCONCIOUSNESS

  • LEE, NAMI;KIM, EUN YOUNG;SHIN, CHANGSOO
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제21권2호
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    • pp.75-79
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    • 2017
  • This paper approaches the subject of consciousness and unconsciousness from a mathematical point of view. It sets up a hypothesis that when unconscious state becomes conscious state, high density energy is released. We argue that the process of transformation of unconsciousness into consciousness can be expressed using the infinite recursive Heaviside step function. We claim that differentiation of the potential of unconsciousness with respect to time is the process of being conscious in a world where only time exists, since the thinking process never have any concrete space. We try to attribute our unconsciousness to a special solution of the multi-dimensional advection partial differential equation which can be represented by the finite recursive Heaviside step function. Mathematical language explains how the infinitive neural process is perceived and understood by consciousness in a definitive time.

Shrinkage analysis of reinforced concrete floors using shrinkage-adjusted elasticity modulus

  • Au, F.T.K.;Liu, C.H.;Lee, P.K.K.
    • Computers and Concrete
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    • 제4권6호
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    • pp.437-456
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    • 2007
  • The shrinkage of large reinforced concrete floors often gives rise to cracking problems. To identify the problematic areas, shrinkage movement analysis is often carried out by finite element method with proper creep and shrinkage models using step-by-step time integration. However as the full stress history prior to the time interval considered is necessary, with the increase in the number of time intervals used, the amount of computations increases dramatically. Therefore a new method using the shrinkage-adjusted elasticity modulus (SAEM) is introduced so that analysis can be carried out using one single step. Examples are presented to demonstrate its usefulness.

Adaptive Algorithm with Time-Varying Step-Size Using Orthogonality Principles

  • Park, Jung-Hoon;Son, Kyung-Sik;Park, Jang-Sik
    • 한국멀티미디어학회:학술대회논문집
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    • 한국멀티미디어학회 2001년도 추계학술발표논문집
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    • pp.46-50
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    • 2001
  • Adaptive signal processing is used to acoustic echo canceller. adaptive noise canceller and adaptive algorithm among adaptive algorithms is mainly used because the structure is simple and computa LMS algorithm has trade-off between the converge speed and the steady state error. In this paper, step-size of adaptive algorithm is varied with orthogonality Principles of optimal filter to get fasts though small steady state error. Time varying step-size is determined proportional to the maximum vector of LMS algorithm. As results of simulations, the adaptive algorithm with proposed time-v compared with conventional ones.

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Accelerating CFD-DEM simulation of dilute pneumatic conveying with bends

  • Du, Jun;Hu, Guoming;Fang, Ziqiang;Gui, Wenjie
    • International Journal of Fluid Machinery and Systems
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    • 제8권2호
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    • pp.84-93
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    • 2015
  • The computational cost is expensive for CFD-DEM simulation, a larger time step and a simplified CFD-DEM model can be used to accelerate the simulation. The relationship between stiffness and overlap in non-linear Hertzian model is examined, and a reasonable time step is determined by a new single particle test. The simplified model is used to simulate dilute pneumatic conveying with different types of bends, and its applicability is verified by compared with the traditional model. They are good agreement in horizontal-vertical case and vertical-horizontal case, and show a significant differences in horizontal-horizontal case. But the key features of particle rope formed in different types of bends can be obtained by both models.

Optimal Trajectory Control for Robort Manipulators using Evolution Strategy and Fuzzy Logic

  • 박진현;김현식;최영규
    • 제어로봇시스템학회지
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    • 제1권1호
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    • pp.16-16
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    • 1995
  • Like the usual systems, the industrial robot manipulator has some constraints for motion. Usually we hope that the manipulators move fast to accomplish the given task. The problem can be formulated as the time-optimal control problem under the constraints such as the limits of velocity, acceleration and jerk. But it is very difficult to obtain the exact solution of the time-optimal control problem. This paper solves this problem in two steps. In the first step, we find the minimum time trajectories by optimizing cubic polynomial joint trajectories under the physical constraints using the modified evolution strategy. In the second step, the controller is optimized for robot manipulator to track precisely the optimized trajectory found in the previous step. Experimental results for SCARA type manipulator show that the proposed method is very useful.

Optimal Trajectory Control for RobortManipulators using Evolution Strategy and Fuzzy Logic

  • Park, Jin-Hyun;Kim, Hyun-Sik;Park, Young-Kiu
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권1호
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    • pp.16-20
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    • 1999
  • Like the usual systems, the industrial robot manipulator has some constraints for motion. Usually we hope that the manipulators move fast to accomplish the given task. The problem can be formulated as the time-optimal control problem under the constraints such as the limits of velocity, acceleration and jerk. But it is very difficult to obtain the exact solution of the time-optimal control problem. This paper solves this problem in two steps. In the first step, we find the minimum time trajectories by optimizing cubic polynomial joint trajectories under the physical constraints using the modified evolution strategy. In the second step, the controller is optimized for robot manipulator to track precisely the optimized trajectory found in the previous step. Experimental results for SCARA type manipulator show that the proposed method is very useful.

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준3차원 동수역학 모형의 입력변수가 충격파 전파에 미치는 영향 (Influence of Input Parameters on Shock Wave Propagation in Quasi-3D Hydrodynamic Model)

  • 이동섭;김형준;송창근
    • 한국안전학회지
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    • 제32권2호
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    • pp.112-116
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    • 2017
  • Present study investigated the influence of time step size, turbulent eddy viscosity, and the number of layer on rapid and unsteady propagation of dam break flow. When the time step size had a value such that it resulted in Cr of 0.89, a significant numerical oscillation was observed in the vicinity of the wave front. Higher turbulent viscosity ensured smooth and mild slope of velocity and water stage compared with the flow behavior by no viscosity. The vertical velocity at the lower layer positioned near the bottom showed lower velocity compared with other layers.

FDM에 의한 응고해석시 계산기간 단축을 위한 Algorithm연구 (Efficient Algorithm for the Solidification Simulation by FDM)

  • 이재경;전주매;전기찬
    • 한국주조공학회지
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    • 제14권5호
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    • pp.412-418
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    • 1994
  • Efficient algorithm for the solidification simulation by FDM is described from the practical point of views. If a proper time step ${\Delta}t$ is selected, the calculation is accelerated by implicit algorithm with the temperature recovery method of latent heat method. The implicit routine in the calculation is processed by SOR method(relaxation factor=1.5, truncation error=$10^{-4}$). The calculation is more accelerated by linear-interpolated explicite algorithm with a time step larger than the minimum value of the time step. This explicit method, which is applicable to the practical casting simulation problems, produces almost same results with about 40% faster calculation speed compared with the conventional explicit method.

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A Simple Volume Tracking Method For Compressible Two-Phase Flow

  • SHYUE KEH-MING
    • 천문학회지
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    • 제34권4호
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    • pp.237-241
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    • 2001
  • Our goal is to present a simple volume-of-fluid type interface-tracking algorithm to compressible two-phase flow in two space dimensions. The algorithm uses a uniform underlying Cartesian grid with some cells cut by the tracked interfaces into two subcells. A volume-moving procedure that consists of two basic steps: (1) the update of volume fractions in each grid cell at the end of the time step, and (2) the reconstruction of interfaces from discrete set of volume fractions, is employed to follow the dynamical behavior of the interface motion. As in the previous work with a surface-tracking procedure for general front tracking (LeVeque & Shyue 1995, 1996), a high resolution finite volume method is then applied on the resulting slightly nonuniform grid to update all the cell values, while the stability of the method is maintained by using a large time step wave propagation approach even in the presence of small cells and the use of a time step with respect to the uniform grid cells. A sample preliminary numerical result for an underwater explosion problem is shown to demonstrate the feasibility of the algorithm for practical problems.

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