• Title/Summary/Keyword: reduced order equation

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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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Reduced Order Luenberger State Observer Design for the Jackknifing Phenomenon Prevention of Articulated Vehicles using GPS (위성항법시스템을 이용한 연결식 차량의 잭나이핑 현상 예방을 위한 축소차수 상태관측기 설계)

  • Lee, Byung-Seok;Heo, Moon-Beom
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.7
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    • pp.688-698
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    • 2012
  • This paper deals with ROLSO (Reduced Order Luenberger State Observer) design to prevent jackknifing phenomenon of articulated vehicles consisting of the tractor and semi-trailer by using GPS. In addition, by applying the regulator system using ROLSO feedback system, simulation's result presents that articulated vehicle's states are stabilized than the human's PR time (Preception Response time) rapidly. This simulation verifies that the automatic control of articulated vehicle's can be applied for the accident prevention for the time that the driver is unable to manage with the sudden accident. For this simulation, by using the equation of planar motion, the modeling of the articulated vehicle was performed. This modeling was expressed in the state space model. And FOLSO (Full Order Luenberger State Observer), ROLSO were designed by using the state space model of an articulated vehicle's dynamics.

Design of Optimal Controller for the Congestion in ATM Networks (ATM망의 체증을 해결하기 위한 최적 제어기 설계)

  • Jung Woo-Chae;Kim Young-Joong;Lim Myo-Taeg
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.6
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    • pp.359-365
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    • 2005
  • This paper presents an reduced-order near-optimal controller for the congestion control of Available Bit Rate (ABR) service in Asynchronous Transfer Mode (ATM) networks. We introduce the model, of a class of ABR traffic, that can be controlled using a Explicit Rate feedback for congestion control in ATM networks. Since there are great computational complexities in the class of optimal control problem for the ABR model, the near-optimal controller via reduced-order technique is applied to this model. It is implemented by the help of weakly coupling and singular perturbation theory, and we use bilinear transformation because of its computational convenience. Since the bilinear transformation can convert discrete Riccati equation into continuous Riccati equation, the design problems of optimal congestion control can be reduced. Using weakly coupling and singular perturbation theory, the computation time of Riccati equations can be saved, moreover the real-time congestion control for ATM networks can be possible.

Modal analysis of asymmetric/anisotropic rotor system using modulated coordinates (변조좌표계를 이용한 비대칭/비등방 회전체의 모드 해석)

  • 서정환;홍성욱;이종원
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.304-309
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    • 2003
  • A new modal analysis method for rotor systems with periodically time-varying parameters is proposed. The essence of method is to introduce modulated coordinates to derive the equivalent time-invariant equation. This paper presents a modal analysis method using modulated coordinates fur general rotors, of which rotating and stationary parts both possess asymmetric properties. The equation of motion with time-varying parameters is transformed to an infinite order matrix equation with the time-invariant parameters. A theory of modal analysis for the system is presented with the infinite order equation and a couple of reduced order equations. A numerical example with simple asymmetric rotor is provided to demonstrate the effectiveness of the proposed method

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Approximation of the State Variables of the Original System from the Balanced Reduced Model (발란싱축소화로 구한 축소모델로부터 원 시스템 상태변수를 구하는 방법)

  • 정광영
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.333-333
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    • 2000
  • When the generalized singular perturbation method is used for model reduction, the state variables of the original system is reconstructed from the reduced order model. The state reduction error is defined, which shows how well the reconstructed state variables approximate the state variables of the original system equation.

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Stability analysis in BWRs with double subdiffusion effects: Reduced order fractional model (DS-F-ROM)

  • Gilberto Espinosa-Paredes;Ricardo I. Cazares-Ramirez;Vishwesh A. Vyawahare;Erick-G. Espinosa-Martinez
    • Nuclear Engineering and Technology
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    • v.56 no.4
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    • pp.1296-1309
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    • 2024
  • The aim of this work is to explore the effect of the double subdiffusion on the stability in BWRs. A BWR novel reduced order model with double subdiffusion effects: reduced order fractional model (DS-F-ROM) to describe the neutron and heat transfer processes was proposed for this study. The double subdiffusion was developed with a fractional-order two-equation model, and with different fractional-orders and relaxation times. The stability analysis was carried out using the root-locus method and change from the s to the W domain and were confirmed using the time-domain evolution of neutron flux for a unit step change in reactivity. The results obtained using the reduced fractional-order model are presented for different anomalous diffusion coefficient values. Results are compared with normal diffusion and P1 equations, which are obtained straightforwardly with DS-ROM when relaxation time tends to zero, and when the anomalous diffusion coefficient tends to one, respectively.

Analysis of a cantilever cylindrical shell by an approximate thory (근사이론에 의한 Cantilever원통쉘의 해석)

  • ;;Lee, Young Shine
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.3
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    • pp.183-192
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    • 1981
  • The present study gives an apprximate equation of circular cylindrical shell on the basis of Flugges's exact theory. The longitudinal bending moment .MU.$\_$x/ and circumferential strain .epsilon.$\_$.theta. are assumed to be small to be small and have been neglected. The governing equation of the cylindrical shell, which is generaly presented as 8th order partial differential equation, is reduced into a 4th order partial differential equation for axial coordinate. To verify the validity and accuracy of this approximate theory, the cantilever cylindrical shell subjected to a concentrated load is analyzed. The maximum errors of longitudinal stress and deflection are about 10 percent compared with the analysis by flugge's theory and are about 15 percent with experimental results.

A study of cut-off tool life equation by response surface methodology (應答表面法에 의한 切斷바이트의 工具壽命式에 關한 硏究)

  • 김원익;이충경;송지복;최만성
    • Journal of the korean Society of Automotive Engineers
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    • v.10 no.2
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    • pp.54-60
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    • 1988
  • This paper presents a study of tool-life equation on cut-off test by the statistical approach, referred to as response surface methodology instead of a conventional one-variable at a time method. It is the merit of response surface methodology that the test time is reduced to minimize the size and accurate analysis can be done. The reliability of such an equation can also be estimated. Two independent variables, cutting speed and feed rate, were investigated. A first order modeling equation is presented in this project. The results of this study are as follows that tool-life in cut-off operation is affected by cutting speed more than feed, and first order tool-life predicting equations are in good agreement with experimental results.

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Transonic Flutter Analysis Using Euler Equation and Reduced order Modeling Technique (오일러 방정식 및 저차모델링 기법을 활용한 천음속 플러터 해석)

  • Kim, Dong-Hyun;Kim,, Yo-Han;Kim, Myung-Hwan;Ryu, Gyeong-Joong;Hwang, Mi-Hyun
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2011.04a
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    • pp.339-344
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    • 2011
  • In the past much effort has been made to utilize advanced computational fluid dynamic (CFD) programs for aeroelastic simulations and analysis. However, it is limited in the field of unsteady aeroelasticity due to enormous size of computer memory and unreasonably long CPU time. Recently, AAEMS(Aerodynamics is Aeroelasticity minus Structure) was developed for linear time-invariant, coupled fluid-structure systems. In this paper, to demonstrate further the efficiency and accuracy of the new model reduction method, we successfully examine AGARD 445.6 wing modeled by FLUENT CFD, FSIPRO3D and NASTRAN FEM(Finite Element Method) programs. Using the ROM(Reduced Order Modeling) one can predict flutter boundary as a function of the dynamic pressure.

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Detachment of Vane Tip in a Positive Displacement Vane Pump (베인 이간 현상에 관한 연구)

  • 문호지;조명래;한동철
    • Proceedings of the Korean Society of Tribologists and Lubrication Engineers Conference
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    • 1997.04a
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    • pp.204-209
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    • 1997
  • This paper reports on the theoretical study of the vane motions in a positive displacement vane pump. Vane detachment cause the pressure fluctuation, noise, wear in cam ring, and decrease the volumetric efficiency. Dynamic equation of vane motion and flow continuity equation have been modeled and solved simultaneously using 4th order Runge-Kutta method. As results of analysis, vane detachment occurs due to pressure overshoot by excess compression in the pumping chamber. Amount of vane detachment has been reduced by decreasing the pressure overshoot.

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