• Title/Summary/Keyword: condition parameter

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Necessary Conditions of Optimal Distributed Parameter Control Systems (분포정수계통의 최적제어 필요조건)

  • Kyung Gap Yang
    • 전기의세계
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    • v.19 no.2
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    • pp.21-23
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    • 1970
  • Necessary conditions of optimal distributed parameter control systems, Hamiltons coanonical equations, welerstress condition, transversality condition and boundary condition are obtained, when the control function is constrained and the performance index takes on the general form. Also it is concluded that the lumped parameter system is the special case of the distributed parameter system.

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Delay-dependent and Parameter-dependent Robust Stability for Discrete-time Delayed Uncertain Singular Systems (이산시간 지연 불확실 특이시스템의 지연 종속 및 변수 종속 강인 안정성)

  • Kim, Jong-Hae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.59 no.4
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    • pp.788-792
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    • 2010
  • The problem of delay-dependent and parameter-dependent robust stability condition for discrete-time uncertain singular systems with polytopic uncertainty and interval time-varying delay is considered. A new robust stability condition based on parameter-dependent Lyapunov function is derived in terms of LMI (linear matrix inequality). Moreover, the proposed robust stability condition is a general condition for both singular and non-singular systems. A numerical example is presented to demonstrate the effectiveness of the proposed method.

EXISTENCE OF OPTIMAL SOLUTION AND OPTIMALITY CONDITION FOR PARAMETER IDENTIFICATION OF AN ECOLOGICAL SPECIES SYSTEM

  • LI CHUNFA;FENG ENMIN
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.273-286
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    • 2005
  • Parameter identification problem of a three species (predator, mutualist-prey, and mutualist) ecological system with reaction-diffusion phenomenon is investigated in this paper. The mathematical model of the parameter identification problem is constructed and continuous dependence of the solution for the direct problem on the parameters identified is obtained. Finally, the existence of optimal solution and an optimality necessary condition for the parameter identification problem are given.

Analysis of the Parameter Convergence Rate for an Adaptive Identifier (적응추정자에 대한 파라메터 수렴속도의 해석)

  • Kim, Sung-Duck
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.38 no.2
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    • pp.127-136
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    • 1989
  • This paper describes the parameter convergence properties of an adaptive system to identify a single-input single-output plant model. It is demonstrated that, by using power spectrum analysis, the persistency of excitation (PE) condition in order to guarantee the exponential stability of the adaptive control system can be transformed into the positive definite behavior for the auto-correlation function matrix of adaptive signal. The existence of parameter nominal values can be analyzed by this condition and the convergence rates of parameter are determined by examining the auto-correlation function. We may use the sufficient richness (SR) of input spectrum instead of the PE condition to analyze the parameter boundedness. It can be shown that the eigen values of the auto-correlation function are always related with adaptive gain, input amplitude and positions or numbers of input spectra. In each case, the variation of parameter convergence rate can be also verified.

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A Study on the Parameter Estimation of DURUMI-II for the Fixed Right Elevator Using Flight Test Data

  • Park Wook-Je;Kim Eung-Tai;Seong Kie-Jeong;Kim Yeong-Cheol
    • Journal of Mechanical Science and Technology
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    • v.20 no.8
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    • pp.1224-1231
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    • 2006
  • The stability and control derivatives of DURUMI-lI UAV using the flight test are obtained. The flight test data is gathered from the normal flight condition (normal mode) and the flight condition assumed as the right elevator fixed (fault mode). Using real-time parameter estimation techniques, applied to Fourier transform regression method, simulates the aircraft motion. From the result, the fault of control surface is to be detected. In this paper, the results of the real- time parameter estimation techniques are compared with the results of the Advanced Aircraft Analysis (AAA). Using the aerodynamic derivatives, it provides the base line of normal/failure for the control surface by using the on-line parameter estimation of Fourier transform regression. In flight, this approach maybe helpful to detect and isolate the fault of primary control surface. It is explained how to perform the flight condition assumed as the right elevator fixed in the flight test. Also, it is mentioned how to switch between the normal flight condition and the assumed fault flight condition.

A Study about Optimization of Laser_repair Condition in EDS Area to Improve the Speed Parameter of High Speed DRAM (High Speed DRAM의 Speed 특성 향상을 위한 EDS Laser_Repair Condition 최적화 방안 연구)

  • Kim, Li-Soon;Han, Young-Shin;Lee, Chil-Gee
    • Journal of the Institute of Electronics Engineers of Korea SD
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    • v.39 no.11
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    • pp.1-6
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    • 2002
  • This study is about optimization of Laser Repair Condition in EDS Line to improve AC and DC characteristic of high speed DRAM. The margin of AC parameter can be improved by forcing the proper DC generator levels and also improved by cutting the optional fuse about characteristics.

Proposal of a New Parameter for Extra Straining Effects (이차적인 변형률효과를 나타내는 새로운 변수의 제안)

  • 명현국
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.1
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    • pp.184-192
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    • 1994
  • The parameters such as Richardson numbers or stability parameters are widely used to account for the extra straining effects due to three-dimensionality, curvature, rotation, swirl and others arising in paractical complex flows. Existing expressions for the extra strain in turbulence models such as $k-{\epsilon}$ models, however, do not satisfy the tensor invariant condition representing the coordinate indifference. In the present paper, considering the characteristics of both the mean strain rate and the mean vorticity, a new parameter to deal with the extra straining effects is proposed. The new parameter has a simple form and satisfies the tensor invariant condition. A semi-quantitative analysis between the present and previous parameters for several typical complex flows suggests that the newly proposed parameter is more general and adequate in representing the extra straining effects than the previous ad-hoc parameters.

ON THE INVERSE PROBLEM FOR STURM-LIOUVILLE OPERATOR WITH A NONLINEAR SPECTRAL PARAMETER IN THE BOUNDARY CONDITION

  • Mamedov, Khanlar R.
    • Journal of the Korean Mathematical Society
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    • v.46 no.6
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    • pp.1243-1254
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    • 2009
  • The inverse scattering problem is investigated for some second order differential equation with a nonlinear spectral parameter in the boundary condition on the half line [0, $\infty$). In the present paper the coefficient of spectral parameter is not a pure imaginary number and the boundary value problem is not selfadjoint. We define the scattering data of the problem, derive the main integral equation and show that the potential is uniquely recovered.

Robustness of Independent Modal Space Control for Parameter and Modal Filter Errors (파라메터오차 및 모달필터오차에 대한 독립모달공간 제어기법의 강인성 해석)

  • Hwang, Jai-Hyuk;Kim, Joon-Soo
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.20 no.11
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    • pp.3549-3559
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    • 1996
  • In this study, the effect of parameter and modal filter errors on the vibration control characteristics of flexible structures is analyzed for IMSC ( Independent Modal Space Control). If the control force is designed on the basis of the mathematical model with the parameter and modal filter errors, the closed-loop performance of the vibration control system will be degraded depending on the magnitude of the errors. An asymptotic stability condition of the system with parameter and modal filter errors has more significant effect on the stability condition of the system with parameter and modal filter errors has been drived using Lyapunov approach. It has been found that modal filter error has more significant effect on the stability of closed-loop system than parameter error does. The extent of the response deviation of the closed-loop system is also derived and evaluated using operator thchniques.