• 제목/요약/키워드: Discrete-time state equation

검색결과 53건 처리시간 0.023초

비구조화된 불확실성과 시변 지연을 갖는 이산 시스템의 안정 조건 (Stability Condition of Discrete System with Time-varying Delay and Unstructured Uncertainty)

  • 한형석
    • 한국항행학회논문지
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    • 제22권6호
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    • pp.630-635
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    • 2018
  • 본 논문에서는 시변 지연이 있는 선형 이산 시스템에 비구조화된 불확실성이 존재하는 경우에 대하여 시스템의 안정성을 다룬다. 고려된 시스템은 지연 없는 상태변수와 지연 상태 변수에 대한 시스템 행렬들은 시불변이나 지연시간이 구간범위에서 시변으로 변동하고, 크기에 대한 정보만을 얻을 수 있는 비구조화된 비선형 불확실성이 있는 시스템이다. 기존의 많은 결과들은 시변지연과 비구조화된 불확실성을 동시에 고려하지 못하고 한 가지 요소만 고려하여 연구되었다. 본 논문에서는 이 두 가지 요소를 모두 고려하여 새로운 안정조건을 도출하였고, 한 가지 요소만 고려한 기존 연구 결과와 비교하였다. 새로운 안정조건은 기존의 결과를 포함하는 매우 효과적인 수식으로 제안되며, 이는 복잡한 선형행렬부등식 혹은 리아프노프 방정식 등과 같은 복잡한 수치계산을 요구하지 않는 간단한 부등식이다. 수치예제를 통하여 제안된 안정조건이 기존의 결과들을 포함할 수 있음을 보이고 확장성과 효용성이 우수함을 확인한다.

Insights from LDPM analysis on retaining wall failure

  • Gili Lifshitz Sherzer;Amichai Mitelman;Marina Grigorovitch
    • Computers and Concrete
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    • 제33권5호
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    • pp.545-557
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    • 2024
  • A real-case incident occurred where a 9-meter-high segment of a pre-fabricated concrete separation wall unexpectedly collapsed. This collapse was triggered by improperly depositing excavated soil against the wall's back, a condition for which the wall segments were not designed to withstand lateral earth pressure, leading to a flexural failure. The event's analysis, integrating technical data and observational insights, revealed that internal forces at the time of failure significantly exceeded the wall's capacity per standard design. The Lattice Discrete Particle Model (LDPM) further replicates the collapse mechanism. Our approach involved defining various parameter sets to replicate the concrete's mechanical response, consistent with the tested compressive strength. Subsequent stages included calibrating these parameters across different scales and conducting full-scale simulations. These simulations carried out with various parameter sets, were thoroughly analyzed to identify the most representative failure mechanism. We developed an equation from this analysis that quickly correlates the parameters to the wall's load-carry capacity, aligned with the simulation. Additionally, our study examined the wall's post-peak behavior, extending up to the point of collapse. This aspect of the analysis was essential for preventing failure, providing crucial time for intervention, and potentially averting a disaster. However, the reinforced concrete residual state is far from being fully understood. While it's impractical for engineers to depend on the residual state of structural elements during the design phase, comprehending this state is essential for effective response and mitigation strategies after initial failure occurs.

두 탑 PSA공정의 상세 동적모사 및 초기운전조건 결정 (Rigorous dynamic simulation and determination of initial operating conditions for two-bed PSA processes)

  • 황덕재;문일
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1997년도 한국자동제어학술회의논문집; 한국전력공사 서울연수원; 17-18 Oct. 1997
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    • pp.1520-1523
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    • 1997
  • A rigorous dynamic simulation was performed in binary gas mixture H$_{2}$/CO (70:30 vol.%) to determinate start-up operating conditions of PSA(Pressure Swing Adsorption) processes. The rigorous dynamic model for the PSA process contains an Ergun equation for expressing the pressure drop in a bed, and valve equations to compute the boundary pressure change of the bed. As the result of the continuous dynamic simulation of 100 operating cyles in various initial conditions, the unsteady-state appeared in the early period and the cyclic steady-state came out about 20th cycle in feed condition and vaccum condition, and 30th cycle in pure H$_{2}$ condition. As time goes by valve equations made change the pressure at each end of the bed in ressurization, countercurrunt-depressurization and pressure equalization steps. The H$_{2}$ purity and the recovery is 99.99% and 86.73% respectively, which is slightly higher than the experimental data. Main contributiion of this study includes supplying fundamental technologies of handling combined variables PSA processes by developing rigorous models.

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Model 추종형 Servo Controller에 의한 위치제어계의 설계 (The Design of Position Controll System by Model Following Servo Controller)

  • 장기효;하홍곤;홍창희
    • 한국통신학회논문지
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    • 제16권1호
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    • pp.1-12
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    • 1991
  • In this paper the design and construction of discrete model following servo dontroller on the position control system is proposed. The operational time delay of the plant in the controller which is proposed, is considered and the system which is added by the integral compensation in first order difference equation is constructed. By applying the optimal regulator method to the system, the method which find the optimal state feedback gain is developed theoretically. The output of a model which is correspond to a DC Servo motor follow quickly the speed response of a DC Servo motor and the velocity error in ansteady-state is reduced in zero and the position response is controlled correctly, the performance of the controller is contoller is confirmed by Computer Simulation.

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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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궤도결정을 위한 비선형 필터 (Nonlinear Filter for Orbit Determination)

  • 윤장호
    • 항공우주시스템공학회지
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    • 제10권1호
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    • pp.21-28
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    • 2016
  • Orbit determination problems have been interest of many researchers for long time. Due to the high nonlinearity of the equation of motion and the measurement model, it is necessary to linearize the both equations. To avoid linearization, the filter based on Fokker-Planck equation is designed. with the extended Kalman filter update mechanism, in which the associated Fokker-Planck equation was solved efficiently and accurately via discrete quadrature and the measurement update was done through the extended Kalman filter update mechanism. This filter based on the DQMOM and the EKF update is applied to the orbit determination problem with appropriate modification to mitigate the filter smugness. Unlike the extended Kalman filter, the hybrid filter based on the DQMOM and the EKF update does not require the burdensome evaluation of the Jacobian matrix and Gaussian assumption for the system, and can still provide more accurate estimations of the state than those of the extended Kalman filter especially when measurements are sparse. Simulation results indicate that the advantages of the hybrid filter based on the DQMOM and the EKF update make it a promising alternative to the extended Kalman filter for orbit estimation problems.

부분공간법에 의한 페루프 시스템의 동정 (Identification of Closed Loop System by Subspace Method)

  • 이동철;배종일;홍순일;김종경;조봉관
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2003년도 하계학술대회 논문집 D
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    • pp.2143-2145
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    • 2003
  • In the linear system identification using the discrete time constant coefficients, there is a subspace method based on 4SID recently much suggested instead of the parametric method like as the maximum likelihood method. The subspace method is not related with the impulse response and difference equation in its input-output equation, but with the system matrix of the direct state space model from the input-output data. The subspace method is a very useful tool to adopt in the multivariable system identification, but it has a shortage unable to adopt in the closed-loop system identification. In this paper, we are suggested the methods to get rid of the shortage of the subspace method in the closed-loop system identification. The subspace method is used in the estimate of the output prediction values from the estimating of the state space vector. And we have compared the results with the outputs of the recursive least square method in the numerical simulation.

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Prediction of initiation time of corrosion in RC using meshless methods

  • Yao, Ling;Zhang, Lingling;Zhang, Ling;Li, Xiaolu
    • Computers and Concrete
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    • 제16권5호
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    • pp.669-682
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    • 2015
  • Degradation of reinforced concrete (RC) structures due to chloride penetration followed by reinforcement corrosion has been a serious problem in civil engineering for many years. The numerical simulation methods at present are mainly finite element method (FEM) and finite difference method (FDM), which are based on mesh. Mesh generation in engineering takes a long time. In the present article, the numerical solution of chloride transport in concrete is analyzed using radial point interpolation method (RPIM) and element-free Galerkin (EFG). They are all meshless methods. RPIM utilizes radial polynomial basis, whereas EFG uses the moving least-square approximation. A Galerkin weak form on global is used to attain the discrete equation, and four different numerical examples are presented. MQ function and appropriate parameters have been proposed in RPIM. Numerical simulation results are compared with those obtained from the finite element method (FEM) and analytical solutions. Two case of chloride transport in full saturated and unsaturated concrete are analyzed to test the practical applicability and performance of the RPIM and EFG. A good agreement is obtained among RPIM, EFG, and the experimental data. It indicates that RPIM and EFG are reliable meshless methods for prediction of chloride concentration in concrete structures.

회귀방법에 의한 초음파 진단기의 측면해상도 개선에 관한 연구 (A recursive scheme for improvement of the lateral resolution in B-scan ultrasonography)

  • 김선일;민병구;고명삼
    • 전기의세계
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    • 제31권3호
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    • pp.204-208
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    • 1982
  • The objective of this paper is to present a digital method for improving the lateral resolution of the B-scan images in the medical applications of ultrasound. The method is based upon a mathematical model of the lateral blurring caused by the finite beam width of the transducers. This model provides a simple method of applying a recursive scheme for image restoration with fast computation time. The point spread function (P.S.F.) can be measured by the reflective signals after scanning the small pins located along the depth of interest. From the measured P.S.F., one can compute the coefficient matrices of the inverse discrete-time dynamic state variable equation of the blurring process. Then, a recursive scheme for deblurring is applied to the recorded B-scan to improve the lateral resolution. One major advantage of the present recursive scheme over the transform method is in its applicability for the space-variant imaging, such as in the case of the rotational movement of transducer.

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입력지연을 갖는 이산시간 선형시스템을 위한 예측기 피드백 제어기의 강인성 해석 (Robustness Analysis of Predictor Feedback Controller for Discrete-Time Linear Systems with Input Delays)

  • 최준영
    • 전기전자학회논문지
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    • 제23권4호
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    • pp.1265-1272
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    • 2019
  • 본 논문에서는 상수 입력지연을 갖는 이산시간 선형시스템을 위한 기존의 예측기 피드백 제어기의 구조적 모델 불확실성에 대한 강인성을 해석한다. 상수 입력지연을 1차 PdE (Partial difference Equation)로 모델링하여 입력지연을 PdE 상태변수로 대체하고 백스테핑 변환을 적용하여 목표 시스템을 구축한다. 목표 시스템을 기반으로 전체 상태변수를 포함하는 명시적 리아푸노프 함수를 구성하여 안정성이 유지되는 구조적 모델 불확실성의 최대 크기의 존재를 증명하고 예측기 피드백 제어기의 강인성을 확립한다. 모의실험을 통하여 모델 불확실성이 존재하는 경우에도 닫힌 루프 시스템의 안정성이 유지되는 것을 예증하고 예측기 피드백 제어기의 강인성을 검증한다.