• Title/Summary/Keyword: 등식

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A study on the experimental fabrication and analysis of power IGBT (Power IGBT의 개발에 관한 연구)

  • 성만영;김영식;박정훈;박성희
    • Electrical & Electronic Materials
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    • v.6 no.3
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    • pp.261-268
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    • 1993
  • LIGBT의 전압-전류 특성을 디자인 파라미터와 공정 파라미터를 포함한 SPICE Simulation으로 확인하였다. 중요한 파라미터는 p-body와 n$^{-}$층 그리고 p$^{+}$ 애노드로 구성된 pnp bipolar transistor의 수평전류이득이었다. 이 전류 이득은 Ebers-Moll등식으로 얻었다. LIGBT의 On 저항은 채절 저항(R$_{E}$ )과 인가된 게이트 전압에 종속되는 유효 벌크 저항(R2)으로 구성되며 On 저항의 해석과 모델링은 디바이스의 디자인 조건을 최적화하기 위해서 기하학적 구조와 도핑 프로파일에 따른 물리적 특성으로부터 전개하여 특성해석을 위한 모델링을 실시하여 제시하였다.

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Design of Robust Fuzzy Controllers via Inverse Optimal Approach (역최적화 방법을 이용한 강인한 퍼지 제어기의 설계)

  • 곽기호;임재환;박주영
    • Journal of the Korean Institute of Intelligent Systems
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    • v.11 no.6
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    • pp.477-486
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    • 2001
  • In this paper , we study the problem of designing TS(Takagi-Sugeno) fuzzy controllers for the systems that can be approximated or represented by the TS fuzzy model. The main strategy used in this paper is the inverse optimal approach, in which the cost function is determined later than the Lyapunov function and its corresponding control input satisfying the design requirements such as stability, decay rate, and robustness against uncertainty. This approach is useful because it yields controllers satisfying the inherent robustness of optimal controllers as well as the considered design goals. The design procedures established in this paper are all in the from of solving LMIs(Iinear matrix inequalities). Since the LMIs arising in the design procedures can be solved within a given tolerance by the interior point methods. the design method of the paper are efficient in practice. The applicability of the proposed design procedures is demonstrated by design examples.

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H Control for Discrete-Time Fuzzy Markovian Jump Systems with State and Input Time Delays (상태 및 입력 시간지연을 갖는 이산 퍼지 마코비안 점프 시스템의 H 제어)

  • Lee, Kap-Rai
    • Journal of the Korean Institute of Intelligent Systems
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    • v.22 no.1
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    • pp.28-35
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    • 2012
  • This paper presents the method for $H_{\infty}$ fuzzy controller design of discrete-time fuzzy Markovian jump systems with state and input time delays. The Takagi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the fuzzy Markovian jump systems with state and input time delays. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller is given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficiency of the proposed design method.

Development of reliable $H_\infty$ controller design algorithm for singular systems with failures (고장 특이시스템의 신뢰 $H_\infty$ 제어기 설계 알고리듬 개발)

  • 김종해
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.4
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    • pp.29-37
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    • 2004
  • This paper provides a reliable H$_{\infty}$ state feedback controller design method for delayed singular systems with actuator failures occurred within the prescribed subset. The sufficient condition for the existence of a reliable H$_{\infty}$ controller and the controller design method are presented by linear matrix inequality(LMI), singular value decomposition, Schur complements, and changes of variables. The proposed controller guarantees not only asymptotic stability but also H$_{\infty}$ norm bound in spite of existence of actuator failures. Since the obtained sufficient condition can be expressed as an LMI fen all variables can be calculated simultaneously. Moreover, the controller design method can be extended to the problem of robust reliable H$_{\infty}$ controller design method for singular systems with parameter uncertainties, time-varying delay, and actuator failures. A numerical example is given to illustrate the validity of the result.

Design of Robust and Non-fragile $H_{\infty}$ Kalman-type Filter for System with Parameter Uncertainties: PLMI Approach (변수 불확실성을 가지는 시스템에 대한 견실비약성 $H_{\infty}$ 칼만형필터 설계: PLMI 접근법)

  • Kim, Joon Ki;Yang, Seung Hyeop;Bang, Kyung Ho;Park, Hong Bae
    • Journal of the Institute of Electronics and Information Engineers
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    • v.49 no.10
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    • pp.181-186
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    • 2012
  • In this paper, we describe the synthesis of robust and non-fragile Kalman filter design for a class of uncertain linear system with polytopic uncertainties and filter gain variations. The sufficient condition of filter existence, the design method of robust non-fragile filter, and the measure of non-fragility in filter are presented via LMIs(Linear Matrix Inequality) technique. And the obtained sufficient condition can be represented as PLMIs(parameterized linear matrix inequalities) that is, coefficients of LMIs are functions of a parameter confined to a compact set. Since PLMIs generate infinite LMIs, we use relaxation technique, find the finite solution for robust non-fragile filter, and show that the resulting filter guarantees the asymptotic stability with parameter uncertainties and filter fragility. Finally, a numerical example will be shown.

Non-fragile robust guaranteed cost control for descriptor systems with parameter uncertainties (변수 불확실성 특이시스템의 비약성 강인 보장비용 제어)

  • Kim, Jong-Hae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.1
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    • pp.59-66
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    • 2007
  • In this paper, we consider the non-fragile robust guaranteed cost state feedback controllers design method for descriptor systems with parameter uncertainties and static state feedback controller with multiplicative uncertainty. The sufficient condition of controller existence, the design method of non-fragile robust guaranteed cost controller, the measure of non-fragility in controller, the upper bound of guaranteed cost performance measure to minimize the guaranteed cost are presented via LMI(linear matrix inequality) technique. Also, the sufficient condition can be rewritten as LMI form in terms of transformed variables through singular value decomposition, some changes of variables, and Schur complements. Therefore, the obtained non-fragile robust guaranteed cost controller satisfies the asymptotic stability and minimizes the guaranteed cost for the closed loop descriptor systems with parameter uncertainties and controller fragility. Finally, a numerical example is given to illustrate the design method.

A Fuzzy Linear Programming Problem with Fuzzy Convergent Equality Constraints (퍼지 융합 등식 제약식을 갖는 퍼지 선형계획법 문제)

  • Oh, Se-Ho
    • Journal of the Korea Convergence Society
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    • v.6 no.5
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    • pp.227-232
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    • 2015
  • The fuzzy linear programming(FLP) is the useful approach to many real world problems under uncertainty. This paper deals with a FLP whose objective value is fuzzy. And the right hand sides of convergent equality constraints are fuzzy numbers. We assume that the membership function of the objective value is piecewise linear and those of the right hand side are trapezoidal. Each of these trapezoidal functions can be algebraically replaced with three linear functions. Then the FLP problem is transformed into the Zimmermann's symmetric model. The fuzzy solution based on the max-min rule can be obtained by solving the crisp linear programming problem derived from the symmetric model. A numerical example has illustrated our approach. The application of our approach to the inconsistent linear system can enable generate us to get define the useful and flexible inexact solutions within acceptable tolerance. Further research is required to generalize the membership function.

Development of non-fragile $H_{\infty}$ controller design algorithm for singular systems (특이시스템의 비약성 $H_{\infty}$ 제어기 설계 알고리듬 개발)

  • Kim, Jong-Hae
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.42 no.6
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    • pp.9-14
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    • 2005
  • In this paper, we consider the synthesis of non-fragile $H_{\infty}$ state feedback controllers for singular systems and static state feedback controller with multiplicative uncertainty. The sufficient condition of controller existence, the design method of non-fragile $H_{\infty}$ controller, and the measure of non-fragility in controller are presented via LMI(linear matrix inequality) technique. Also, the sufficient condition can be rewritten as LMI form in terms of transformed variables through singular value decomposition, some changes of variables, and Schur complements. Therefore, the obtained non-fragile $H_{\infty}$ controller guarantees the asymptotic stability and disturbance attenuation of the closed loop singular systems within a prescribed degree. Moreover, the controller design method can be extended to the problem of robust and non-fragile $H_{\infty}$ controller design method for singular systems with parameter uncertainties. Finally, a numerical example is given to illustrate the design method.

H Fuzzy Control for Discrete-Time Nonlinear Markovian Jump Systems with Time Delay (시간지연을 갖는 이산 비선형 마코비안 점프 시스템의 H 퍼지 제어)

  • Lee, Kap-Rai;Lee, Kyung-Hee
    • Journal of the Korean Institute of Intelligent Systems
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    • v.19 no.6
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    • pp.779-786
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    • 2009
  • This paper deals with $H_{\infty}$ fuzzy control problem of discrete-time nonlinear Markovian jump systems with time delay. The Takgi and Sugeno fuzzy model is employed to represent a delayed nonlinear system that possesses Markovian jump parameters. A stochastic mode dependent Lyapunov function is employed to analyze the stability and $H_{\infty}$ disturbance attenuation performance of the Markovian jump fuzzy system with time delay. Stochastic Lyapunov function is dependent on the operation modes of the system. A sufficient condition for the existence of fuzzy $H_{\infty}$ controller are given in terms of matrix inequalities. Also numerical example is presented to illustrate the efficient of the proposed design methods.

Vorticity Based Analysis of the Viscous Flow around an Impulsively Started Cylinder (와도를 기저로 한 초기 순간 출발하는 실린더 주위의 점성유동해석)

  • Kwang-Soo Kim;Jung-Chun Suh
    • Journal of the Society of Naval Architects of Korea
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    • v.35 no.4
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    • pp.1-10
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    • 1998
  • This paper presents a vorticity-based numerical method for analyzing an incompressible Newtonian viscous flow around an impulsively started cylinder. The Navier-Stockes equations have a natural Helmholtz decomposition. The vorticity transport equation and the pressure equation are derived from this decoupled form. The associated boundary conditions are dynamic for the vorticity and pressure variables representing the coupling relation between them and the force balance on the wall. The various numerical treatments for solving the governing equations are introduced. According to Wu et al.(1994), the boundary conditions are decoupled, keeping the dynamic relation between vorticity and pressure. The vorticity transport equation is formulated by FVM and TVD(Total Variation Diminishing) scheme is used for the convection term. An integral approach similar to the panel method is used to obtain the velocity field for a given vorticity field and the pressure field, instead of the conventional differential approaches. In the numerical process, the structured grid is generated. The results are compared to existing numerical and analytic results for the validity of the present method.

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