• Title/Summary/Keyword: Invariant Condition

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Optimal Output P and PI Feedback for Discrete Time Systems (리산시스템을 위한 최적출력 P&PI궤환)

  • 신현철;변증남
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.17 no.6
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    • pp.38-43
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    • 1980
  • For linear discrete-time time-invariant multi-input mufti-output systems, a necessary condition which an optimal output Proportional feedback gains must satisfr is deiived. Quadratic performance index is used. The result is extended to the desi01 problem for determining optimal output proportional plus integral feedback gains. For illustration, an example problem is solved and discussed.

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OPERATOR DOMAINS ON FUZZY SUBGROUPS

  • Kim, Da-Sig
    • Communications of the Korean Mathematical Society
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    • v.16 no.1
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    • pp.75-83
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    • 2001
  • The various fuzzy subgroups of a group which are admissible under operator domains are studied. In particular, the classes of all inner automorphisms, automorphisms, and endomorphisms are applied on the fuzzy subgroups of a group. As results, several theorems and examples concerning the fuzzy subgroups following from these kinds of operator domains are obtained. Moreover, we prove that a necessary condition for a fuzzy subgroup to be characteristic is that the center of the fuzzy subgroup is characteristic.

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Robust control using the sliding mode observer in the presence of unmatched uncertainties (비정합조건 하의 슬라이딩 모드 관측기를 이용한 강인 제어)

  • 한상철;박인규;함운철
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.334-334
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    • 2000
  • In this paper, sliding mode observer design principles based on the equivalent control approach are discussed for the systems which may not satisfy the matching conditions. We propose a new approach for designing a sliding observer and the proof of the stability of the state reconstruction error system for time-invariant systems using the Lyapunov method. The reaching time to the sliding surface, the sliding dynamics of the system, the stability of the reconstruction error system via Lyapunov method, sufficient conditions for the existence of the sliding mode are studied.

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ON THE S1-EULER CHARACTERISTIC OF THE SPACE WITH A CIRCLE ACTION ii

  • HAN, SNAG-EON
    • Honam Mathematical Journal
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    • v.24 no.1
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    • pp.93-101
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    • 2002
  • The $S^1$-Eule characteristics of X is defined by $\bar{\chi}_{S^1}(X)\;{\in}\;HH_1(ZG)$, where G is the fundamental group of connected finite $S^1$-compact manifold or connected finite $S^1$-finite complex X and $HH_1$ is the first Hochsch ild homology group functor. The purpose of this paper is to find several cases which the $S^1$-Euler characteristic has a homotopic invariant.

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On the Optimal Control in the Linear Time Invariant System with non Terminal Boundary Conditions

  • Lee, Bong-Jin
    • Nuclear Engineering and Technology
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    • v.5 no.3
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    • pp.214-222
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    • 1973
  • The linear sequence method is expanded in such a way that it may be applied to the boundary problem with non terminal state condition and its possibility under the existence of a corresponding costate vector P(t) is found. For an application a couple of the concrete physical models are illustrated and examined the effect of the sequence.

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Time Delay Estimation of Two Signals in Wavelet Transform Domain (WT 평면에서의 두 신호 시지연 추정)

  • Kim, Jae-Kuk;Lee, Young-Seok;Kim, Sung-Hwan
    • The Journal of the Acoustical Society of Korea
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    • v.16 no.4
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    • pp.5-10
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    • 1997
  • In this paper, a new time delay estimation algorithm, WTD-LMSTDE was proposed. This method has great improvement in convergence rate relative to the time domain approach by decreasing the eigen value spread of input signal autocorrelation matrix. The performance of the algorithm was evaluated for the cases of time invariant time delay and time varying time delay. In the case of time invariant time delay, the estimation accuracy of WTD-LMSTDE was better than that of LMSTDE from 3.3% to 12.5% with respect to SNR. In the case of time varying time delay, the mean error power of WTD-LMSTDE in linear increased delay environment was decreased about 2.4dB compared to that of LMSTDE under noise-free condition. As a result, we showed that the performance of WTD-LMSTDE is better than of LMSTDE.

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Implementation of real-time optical pattern recognition system using a photorefractive correlator with improved shift-invariant property (변이불변 특성이 개선된 광굴절 상관기를 이용한 실시간 광 패턴인식 시스템 구현)

  • 김성완;김철수;김종찬;김종윤;이승희;김수중
    • Journal of the Korean Institute of Telematics and Electronics D
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    • v.35D no.3
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    • pp.63-69
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    • 1998
  • In this paper, a new input method is proposed to improve shift-invariant property of a photorefractive correlator andwe implemented real-time optical pattern recognition system using it. In the conventional photorefractive correlator, it is vrey difficult to satisfy the Bragg condition in the pattern recognition process. So, correlation peak is decreased heavily for the shift of input image. If a liquid crystal television(LCTV) without an anlyzer is used as input device, we can get the correlation result regardless of shift of input image because beam path is not changed during storage of holographic filter and correlation process. Also recording time of a holographic matched filter in photorefractive crystal is reduced and the correlation peak is increased because incident beam on the LCTV is transmitted completely. Therefore total optical efficiency is improved. We compared and analyzed the correlation results of proposed photorefractive correlator by computer simulation and optical experiment. We used a BaTiO$_{3}$ single crystal which has high diffraction efficiency in optical experiment.

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Longitudinal Flight Dynamic Modeling and Stability Analysis of Flapping-wing Micro Air Vehicles (날갯짓 비행 로봇의 세로방향 비행 동역학 모델링 및 안정성 해석)

  • Kim, Joong-Kwan;Han, Jong-Seob;Kim, Ho-Young;Han, Jae-Hung
    • Journal of Institute of Control, Robotics and Systems
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    • v.21 no.1
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    • pp.1-6
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    • 2015
  • This paper investigates the longitudinal flight dynamics and stability of flapping-wing micro air vehicles. Periodic external forces and moments due to the flapping motion characterize the dynamics of this system as NLTP (Non Linear Time Periodic). However, the averaging theorem can be applied to an NLTP system to obtain an NLTI (Non Linear Time Invariant) system which allows us to use a standard eigen value analysis to assess the stability of the system with linearization around a reference point. In this paper, we investigate the dynamics and stability of a hawkmoth-scale flapping-wing air vehicle by establishing an LTI (Linear Time Invariant) system model around a hovering condition. Also, a direct time integration of full nonlinear equations of motion of the flapping-wing micro air vehicle is conducted to see how the longitudinal flight dynamics appear in the time domain beyond the reference point, i.e. hovering condition. In the study, the flapping-wing air vehicle exhibited three distinct dynamic modes of motion in the longitudinal plane of motion: two stable subsidence modes and one unstable oscillatory mode. The unstable oscillatory mode is found to be a combination of a pitching velocity state and a forward/backward velocity state.

Prediction of the Radiated Noise from the Vehicle Intake System (자동차 흡기계의 방사소음 예측에 대한 연구)

  • Kim, Hoi-Jeon;Ih, Jeong-Guon;Lee, Seong-Hyun;Shinoda, K.;Kitahara, S.
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11b
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    • pp.105-108
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    • 2005
  • The radiated noise from the automotive intake system should be predicted at the design stage. To this end, the precise measurement of in-duct acoustic source parameters of the intake system, i.e., the source strength and source impedance, is essential. Most of previous works on the measurement of acoustic source parameters were performed under a fixed engine speed condition. However, the requirement of vehicle manufacturer is the noise radiation pattern as a function of engine speed. In this study, the direct method was employed to measure the source parameters of engine intake system under a fixed engine speed and engine run-up condition. It was noted that the frequency spectra of source impedance hardly changes with varying the engine speed. Thus, it is reasonable to calculate the source strength under the engine run-up condition by assuming that source impedance is invariant with engine speed. Measured and conventional source models, i.e., constant pressure source, constant velocity source, and non-reflective source, were utilized to predict insertion loss and radiated sound pressure level. A reasonable prediction accuracy of radiated sound pressure level spectra from the intake system was given in the test vehicle when using the measured source characteristics which were acquired under the operating condition.

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A Consideration on the Identifiability for Blind Signal Separation in MIMO LTI Channels (MIMO LTI 채널에서의 블라인드 신호분리시의 식별성에 대한 고찰)

  • Kwon, Soon-Man;Kim, Seog-Joo;Lee, Jong-Moo;Kim, Choon-Kyung;Cho, Chang-Hee
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.265-267
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    • 2004
  • A blind separation problem in a multiple-input-multiple-output (MIMO) linear time-invariant (LTI) system with finite-alphabet inputs is considered. A discrete-time matrix equation model is used to describe the input-output relation of the system in order to make full use of the advantages of modern digital signal processing techniques. At first, ambiguity problem is investigated. Then, based on the results of the investigation, a new identifiability condition is proposed for the case of an input-data set which is widely used in digital communication. A probability bound such that an arbitrary input matrix satisfies the identifiability condition is derived. Finally, Monte-Carlo simulation is performed to demonstrate the validity of our suggestions.

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