• Title/Summary/Keyword: discrete time model

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AERODYNAMIC SENSITIVITY ANALYSIS FOR NAVIER-STOKES EQUATIONS

  • Kim, Hyoung-Jin;Kim, Chongam;Rho, Oh-Hyun;Lee, Ki Dong
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.3 no.2
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    • pp.161-171
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    • 1999
  • Aerodynamic sensitivity analysis codes are developed via the hand-differentiation using a direct differentiation method and an adjoint method respectively from discrete two-dimensional compressible Navier-Stokes equations. Unlike previous other researches, Baldwin-Lomax algebraic turbulence model is also differentiated by hand to obtain design sensitivities with respect to design variables of interest in turbulent flows. Discrete direct sensitivity equations and adjoint equations are efficiently solved by the same time integration scheme adopted in the flow solver routine. The required memory for the adjoint sensitivity code is greatly reduced at the cost of the computational time by allowing the large banded flux jacobian matrix unassembled. Direct sensitivity code results are found to be exactly coincident with sensitivity derivatives obtained by the finite difference. Adjoint code results of a turbulent flow case show slight deviations from the exact results due to the limitation of the algebraic turbulence model in implementing the adjoint formulation. However, current adjoint sensitivity code yields much more accurate sensitivity derivatives than the adjoint code with the turbulence eddy viscosity being kept constant, which is a usual assumption for the prior researches.

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DISCRETE TIME DYNAMIC MODEL FOR TELESCOPE AUTO-GUIDING SYSTEM (망원경의 자동추적장치를 위한 이산시간 동적모델 분석)

  • Lee, Joon-Hwa
    • Journal of Astronomy and Space Sciences
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    • v.24 no.4
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    • pp.431-450
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    • 2007
  • In the auto-guiding system for obtaining a long exposure astrophotography, CCD camera is usually used for measuring guide errors which are affected by optical dispersion and mechanical disturbances. In this paper, a discrete time dynamic model and a performance index are proposed for analysing the auto-guiding system. The optimal gain for proportional control is derived considering the optical dispersion and the disturbances. Some experiments are provided to illustrate that the optimal control gain is lower as the optical dispersion is higher.

An Estimating System for the CO2 Emissions using Discrete Event Simulation (이산 사건 시뮬레이션을 활용한 건설공정 CO2 배출량 추정 시스템)

  • Yi, Chang-Yong;Gwak, Han-Seong;Lee, Dong-Eun
    • Proceedings of the Korean Institute of Building Construction Conference
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    • 2014.05a
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    • pp.196-197
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    • 2014
  • Low carbon construction is an important operation management goal such as cost, time, and quality in construction community. This paper introduces a system which measures the variability of carbon dioxide amounts. First, this system allows creating construction operation models of which the level of detail is breakdown into the work task level. Second, the system implements sensitivity analysis along with a ranges of resources that are allocated in an operation model. It facilitates to find the optimal resource combination using the operation performances such as the amount of emissions, operation completion time, and cost. Lastly, it identifies the best fit probability distribution functions of performance criteria given a certain resource combination. It allows project manager to query the percentages to complete the operation within a limitation specified by the system users.

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Point and interval estimation for a simple step-stress model with Type-I censored data from geometric distribution

  • Arefi, Ahmad;Razmkhah, Mostafa
    • Communications for Statistical Applications and Methods
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    • v.24 no.1
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    • pp.29-41
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    • 2017
  • The estimation problem of expected time to failure of units is studied in a discrete set up. A simple step-stress accelerated life testing is considered with a Type-I censored sample from geometric distribution that is a commonly used distribution to model the lifetime of a device in discrete case. Maximum likelihood estimators as well as the associated distributions are derived. Exact, approximate and bootstrap approaches construct confidence intervals that are compared via a simulation study. Optimal confidence intervals are suggested in view of the expected width and coverage probability criteria. An illustrative example is also presented to explain the results of the paper. Finally, some conclusions are stated.

A Quantitative Performance Index for Discrete-time Observer-based Monitoring Systems (이산관측기에 근거한 감지시스템을 위한 정량적 성능지표)

  • Huh, Kun-Soo;Kim, Sang-Jin
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.10
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    • pp.138-148
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    • 1995
  • While Model-based Monitoring systems based on state observer theory have shown much promise in the laboratory, they have not been widely accepted by industry because, inpractice, these systems often have poor performance with respect to accuracy, band-width, reliability(false alarms), and robustness. In this paper, the linitations of the deterministic discrete-time state observer are investigated quantitatively from the machine monitoring viewpoint. The limitations in the transient and steady-state observer performance are quantified as estimation error bounds from which performance indices are selected. Each index represents the conditioning of the corresponding performance. By utilizing matrix norm theory, an unified main index is determined, that dominates all the indices. This index could from the basis for an observer design methodology that should improve the performance of model-based monitoring systems.

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A new scheme for discrete implicit adaptive observer and controller (이산형 적응관측자 및 제어기의 새로운 구성)

  • 고명삼;허욱열
    • 전기의세계
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    • v.30 no.12
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    • pp.822-831
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    • 1981
  • Many different schemes of the adaptive observer and controller have been developed for both continuous and discrete systems. In this paper we have presented a new scheme of the reduced order adaptive observer for the single input discrete linear time invariant plant. The output equation of the plant, is transformed into the bilinear form in terms of system parameters and the states of the state variable filters. Using the plant output equation the discrete implicit adaptive observer based on the similar philosophy to Nuyan and Carroll is derived and the parameter adaptation algorithm is derived based on the exponentially weighted least square method. The adaptive model following control system is also constructed according to the proposed observer scheme. The proposed observer and controller are rather than simple structure and have a fast adaptive algorithm, so it may be expected that the scheme is suitable to the practical application of control system design. The effectiveness of the algorithm and structure is illustrated by the computer simulation of a third order system. The simulation results show that the convergence speed is proportinal to the increasing of weighting factor alpha, and that the full order and reduced order observer have similar convergence characteristics.

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Design of the Robust Controller for the Discrete-Time Nonlinear System with Time-Delay Via Fuzzy Approach (퍼지 기법을 이용한 시간 지연을 가지는 이산시간 비선형 시스템에 대한 강인 제어기 설계)

  • Kim, Taek-Ryong;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2005.07d
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    • pp.2723-2725
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    • 2005
  • In this paper, a robust $H{\infty}$ stabilization problem to a uncertain discrete-time nonlinear systems with time-delay via fuzzy static output feedback is investigated. The Takagi-Sugeno (T-S) fuzzy model is employed to represent an uncertain nonlinear systems with time-delayed state. Then parallel distributed compensation technique is used for designing of the robust fuzzy controller. Using a single Lyapunov function, the globally asymptotic stability and disturbance attenuation of the closed-loop fuzzy control system are discussed. Sufficient conditions for the existence of robust $H{\infty}$ controllers are given in terms of linear matrix inequalities via similarity transform and congruence transform technique.

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A study on the co-operative modeling between discrete-event system and continuous-time system for UAV system (UAV를 위한 이산사건 및 연속시간 시스템간의 연동 모델링에 대한 연구)

  • Kang, Kwang-Chun;Choi, Sung-Do;You, Yong-Jun
    • Journal of the Korea Society for Simulation
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    • v.15 no.1
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    • pp.43-50
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    • 2006
  • The major objective of this paper is to propose a hybrid simulation environment for autonomous UAV system by integrating the continuous-time model with discrete-event model. Proposed system is able to support high autonomous behavior by combining the planner, recognizer, and controller model to deal with the HL20 AIRPLANE model. Thus, the high level decision may be efficiently issued even upon the unexpected circumstance. The proposed system model has been successfully verified by several simulation test performed on the DEVS simulation S/W environment.

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Digital Control of An Inverted Pendulum by Using Intelligent Digital Redesign (지능형 디지탈 재설계를 이용한 도립 진자의 디지탈 제어)

  • Chang, Wook;Joo, Young-Hoon;Park, Jin-Bae
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.50 no.10
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    • pp.457-463
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    • 2001
  • This paper presents a simple and new digital redesign algorithm for fuzzy-model-based controllers. In the first stage, a continuous-time TS fuzzy model is constructed for a given continuous-time nonlinear system and a corresponding continuous-time fuzzy-model-based controller is established based on the existing controller synthesis algorithms. In the second stage, the continuous-time fuzzy-model-based controller is converted to equivalent discrete-time fuzzy-model-based controller, aiming at maintaining the property of the analogue controlled system, which are called intelligent digital redesign. Finally, the proposed method is applied to the digital control of inverted pendulum system to shows the effectiveness and the effectiveness and the feasibility of the method.

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Robust Discrete-Time Sliding Mode Control of Vehicle Steering System with Uncertainty (불확실성을 포함한 차량 조향장치의 강인 이산시간 슬라이딩 모드 제어)

  • Kim, Han-Me;Kim, Doo-Hyung;Park, Kyoung-Taik
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.4
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    • pp.295-301
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    • 2012
  • This paper deals with the design of robust DSMC (Discrete-Time Sliding Mode Control) scheme in order to overcome system uncertainty in steering system with mechanically joined structure. The proposed control scheme is one of robust control schemes based on system dynamics. Therefore, system dynamics required is not obtained from physical law but SCM (Signal Compression Method) through experiment in order to avoid complicate mathematical development and save time. However, SCM has a shortcoming that is the limitation of with $2^{nd}$ order linear model which does not include the dynamic of high-frequency band. Thus, considering system uncertainty, DSMC is designed. In addition, to reduce the chattering problem of DSMC, DSMC is derived from the reaching law and the Lyapunov stability condition. It is found that the proposed control scheme has robustness in spite of the perturbation of system uncertainty through computer simulation.