• Title/Summary/Keyword: State variable

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A new Dynamic Switching Function for Output feedback Variable Structure Control (출력궤환가변구조제어를 위한 동적스위칭함수의 제안과 응용)

  • 이기상;송명현;조상호
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.7
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    • pp.706-717
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    • 1991
  • In order to remove the assumption of full state availability which is one of the major difficulties with the practical realization of variable structure control systems,a new switching function with a dynamic structure is proposed. And the control performances of the output feedback variable structure control systems with the dynamic switching function are evaluated through simulation studies. The proposed dynamic switching function is driven by small number of measured output and input variables while conventional static switching function requires full state information. Therefore, the proposition of the dynamic swiching function makes practical implementation of output feedback variable structure control scheme possible for the systems with unmeasurable state variables, high order systems and large scale systems that the conventional variable structure control schemes with static switching function cannot be applied. In the variable structure control systems with the dynamic switching function, desired control performance can be guaranteed by proper choice of design parameters such as poles of switching function dynamic equation and switching control gains even though small number of measured output and input variables are provided as shown in simulation resuls.

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The Time Correlation Function Near (and at) a Stable Steady State, When a Chemical System Relaxes from the Unstable Steady State$^*$

  • Lee, Dong-Jae;Ryu, Moon-Hee;Lee, Jong-Myung
    • Bulletin of the Korean Chemical Society
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    • v.6 no.2
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    • pp.91-95
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    • 1985
  • The dynamic properties near (and at) a stable steady state are discussed, when a chemical system relaxes from the unstable steady state. The time-dependent correlation length for the fluctuating variable near a stable steady state is explicitly obtained by introducing the probability average for the variable satisfying the rate equation. The study is carried out about the effect of nonlinearity on the correlation length near (and at) a stable steady state.

State-Variable Analysis of RLC Networks Using Bryant-Bashkow A Matrix (Bryant-Bashkow A 마트릭스를 이용한 RLC회로망의 상태변수적 해석)

  • Kyun Hyon Tchah
    • 전기의세계
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    • v.20 no.5
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    • pp.19-22
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    • 1971
  • This paper deals with the state-variable analysis of the arbitrary RLC lumped linear time-invariant networks. A formulation technique for determining a set of state equation using Bryant-Bashkow A Matrix and by means of the procedure setting up the terminal equation is discussed.

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Single-Phase Self-Excited Induction Generator with Static VAR Compensator Voltage Regulation for Simple and Low Cost Stand-Alone Renewable Energy Utilizations Part I : Analytical Study

  • Ahmed, Tarek;Noro, Osamu;Soshin, Koji;Sato, Shinji;Hiraki, Eiji;Nakaoka, Mutsuo
    • KIEE International Transactions on Power Engineering
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    • v.3A no.1
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    • pp.17-26
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    • 2003
  • In this paper, the comparative steady-state operating performance analysis algorithms of the stand-alone single-phase self-excited induction generator (SEIG) is presented on the basis of the two nodal admittance approaches using the per-unit frequency in addition to a new state variable de-fined by the per-unit slip frequency. The main significant features of the proposed operating circuit analysis with the per-unit slip frequency as a state variable are that the fast effective solution could be achieved with the simple mathematical computation effort. The operating performance results in the simulation of the single-phase SEIG evaluated by using the per-unit slip frequency state variable are compared with those obtained by using the per-unit frequency state variable. The comparative operating performance results provide the close agreements between two steady-state analysis performance algorithms based on the electro-mechanical equivalent circuit of the single-phase SEIG. In addition to these, the single-phase static VAR compensator; SVC composed of the thyristor controlled reactor; TCR in parallel with the fixed excitation capacitor; FC and the thyristor switched capacitor; TSC is ap-plied to regulate the generated terminal voltage of the single-phase SEIG loaded by a variable inductive passive load. The fixed gain PI controller is employed to adjust the equivalent variable excitation capacitor capacitance of the single-phase SVC.

On Some Teaching Problems Related to the Learning of Variable Concept in School Mathematics (학교 수학의 변수 개념 학습과 관련된 몇 가지 지도 문제에 대하여)

  • 김남희
    • School Mathematics
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    • v.1 no.1
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    • pp.19-37
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    • 1999
  • In this study, we examined some matters related to the learning of variable concept in school mathematics on the basis of the theoretical foundation from the previous studies(e.g. Davis, 1975; Rosnick, 1981; IK chemann, 1981; Wagner, 1983.) and practices on variable concept teaching by evaluating the current state of that. Matters be discussed are as follows; the use of symbol for place holders in elementary mathematics, the dealing with sets those elements are literals and operations of such sets, the teaching of dummy variable, the construction of literal expressions that contains variables, the labeling indeterminates as a constant, the change in the exact meaning of variable according to the function concept, the teaching of a generalization by means of variables. After considering on these matters that are connected with the teaching-learning of variable concept, we suggested the alternative proposal to the current state of variable concept teaching.

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Design Sensitivity Analysis for the Optimal Shape Design of Magnetostatic Problems (정자계 문제의 형상 최적 설계를 위한 설계 민감도 해석)

  • Koh, Chang-Seop;Hahn, Song-Yop;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 1992.07b
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    • pp.567-569
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    • 1992
  • Design sensitivity analysis is proposed for the optimal shape design of three dimensional magnetostatic problems. The direct differentiation method is introduced for design sensitivity analysis and the boundary element method with reduced magnetic scalar potential as the state variable is used to analyze the magnetic characteristics. In the direct differentiation method, the design sensitivity, defined as the total derivative of the objective function with respect to the design variables, is calculated based on the variation of the state variable with respect to the design variable. And the variation of He state variable is calculated by differentiating the both sides of the system matrix equation obtained by applying boundary element method. Through the numerical example with simple electromagnet, the usefullness is proved.

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Design Sensitivity Analysis for the Optimal Shape Design of Three-Dimensional Magnetostatic Problems (3차원 정자계 문제의 형상 최적설계를 위한 설계 민감도 해석)

  • 고창섭;정현교;한송엽
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.41 no.8
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    • pp.850-857
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    • 1992
  • Design sensitivity analysis is proposed for the optimal shape design of three-dimensional magnetostatic problems. The direct differentiation method is introduced for design sensitivity analysis and the boundary element method with reduced magnetic scalar potential as the state variable is used to analyze the magnetic characteristics. In the direct differentiation method, the design sensitivity, defined as the total derivative of the objective function with respect to the design variables, is calculated based on the variation of the state variable with respect to the design variable. And the variation of the state variable is calculated by differetiating the both sides of the system matrix equation obtained by applying boundary element method. Through the numerical example with simple electromagnet, the usefulness is proved.

Tracking Control of IPMSM using the Active Disturbance Rejection Control (매입형 영구자석 동기전동기의 능동외란제거제어를 이용한 추종제어)

  • Jeon, Yong-Ho;Chae, Seong-Byeong
    • The Journal of the Korea institute of electronic communication sciences
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    • v.17 no.5
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    • pp.859-866
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    • 2022
  • Active disturbance rejection control is a method in which the disturbance is removed from the controller by estimating the state variable using the Luenberger observer. The Luenberger observer is estimated by defining a nonlinear term including disturbance with constant characteristics in a steady state as a state variable. It can be shown that the speed tracking performance is improved by compensating the estimated state variable to the PI controller and the IP controller. The disturbance removal performance of the tracking control can be confirmed by observing that the estimated state error is within 1.9 [%] in the case of load fluctuation and the steady-state state tracking error converges to zero.

A study on the speaker adaptation in CDHMM usling variable number of mixtures in each state (CDHMM의 상태당 가지 수를 가변시키는 화자적응에 관한 연구)

  • 김광태;서정일;홍재근
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.35S no.3
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    • pp.166-175
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    • 1998
  • When we make a speaker adapted model using MAPE (maximum a posteriori estimation), the adapted model has one mixture in each state. This is because we cannot estimate a number of a priori distribution from a speaker-independent model in each state. If the model is represented by one mixture in each state, it is not well adadpted to specific speaker because it is difficult to represent various speech informationof the speaker with one mixture. In this paper, we suggest the method using several mixtures to well represent various speech information of the speaker in each state. But, because speaker-specific training dat is not sufficient, this method can't be used in every state. So, we make the number of mixtures in each state variable in proportion to the number of frames and to the determinant ofthe variance matrix in the state. Using the proposed method, we reduced the error rate than methods using one branch in each state.

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Optimum Controller Design of a Water Cooler for Machine Tools Based on the State Space Model (상태공간 모델링에 의한 공작기계용 수냉각기의 최적제어기 설계)

  • Jeong, Seok-Kwon;Kim, Sang-Ho
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.23 no.12
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    • pp.782-790
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    • 2011
  • Typical temperature control methods of a cooler for machine tools are hot-gas bypass and compressor variable speed control. The hot-gas bypass system has been widely used to control the cooler temperature in many general industrial fields. On the contrary, the compressor variable speed control is focused on special fields such as aerospace and high precision machine tools which need high precision control. The variable speed control system usually has two control variables such as target temperature and superheat. In other words, the variable speed control system is basically multi-input multi-output(MIMO) system. In spite of MIMO system, the proportional integral derivative(PID) feedback control methodology that based on single-input single-output (SISO) system is generally used for designing the variable speed control system. Therefore, it is inevitable to describe transfer functions for dynamic behaviors of every controlled variables and decide the PID gains with tremendous iteration process. Moreover, the designed PID gains do not provide optimum system performances. To solve these problems, high performance controller design method based on a state space model is suggested in this paper. An optimum controller is designed to minimize both control errors and energy inputs. This method was more simple to describe dynamic behaviors and easier to design the cooler controller which is MIMO system.