• Title/Summary/Keyword: K-linearization

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Simple Spectral Calibration Method and Its Application Using an Index Array for Swept Source Optical Coherence Tomography

  • Jung, Un-Sang;Cho, Nam-Hyun;Kim, Su-Hwan;Jeong, Hyo-Sang;Kim, Jee-Hyun;Ahn, Yeh-Chan
    • Journal of the Optical Society of Korea
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    • v.15 no.4
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    • pp.386-393
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    • 2011
  • In this study, we report an effective k-domain linearization method with a pre-calibrated indexed look-up table. The method minimizes k-domain nonlinear characteristics of a swept source optical coherence tomography (SS-OCT) system by using two arrays, a sample position shift index and an intensity compensation array. Two arrays are generated from an interference pattern acquired by connecting a Fabry-Perot interferometer (FPI) and an optical spectrum analyzer (OSA) to the system. At real time imaging, the sample position is modified by location movement and intensity compensation with two arrays for linearity of wavenumber. As a result of evaluating point spread functions (PSFs), the signal to noise ratio (SNR) is increased by 9.7 dB. When applied to infrared (IR) sensing card imaging, the SNR is increased by 1.29 dB and the contrast noise ratio (CNR) value is increased by 1.44. The time required for the linearization and intensity compensation is 30 ms for a multi thread method using a central processing unit (CPU) compared to 0.8 ms for compute unified device architecture (CUDA) processing using a graphics processing unit (GPU). We verified that our linearization method is appropriate for applying real time imaging of SS-OCT.

Solving A Quadratic Fractional Integer Programming Problem Using Linearization

  • Gaur, Anuradha;Arora, S.R.
    • Management Science and Financial Engineering
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    • v.14 no.2
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    • pp.25-44
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    • 2008
  • This paper concentrates on reduction of a Quadratic Fractional Integer Programming Problem (QFIP) to a 0-1 Mixed Linear Programming Problem (0-1 MLP). The solution technique is based on converting the integer variables to binary variables and then the resulting Quadratic Fractional 0-1 Programming Problem is linearized to a 0-1 Mixed Linear Programming problem. It is illustrated with the help of a numerical example and is solved using the LINDO software.

New analysis of nonlinear system with time varying parameter

  • Lee, Seon-Ho;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.231-235
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    • 1995
  • In this paper, the frozen time approach is used to analyze the nonlinear system with time varying parameter. Using the extended linearization, we propose two analytical methods that compute an upper bound of the Euclidean norm of the difference between state variable and equilibrium point of the given system. The propertise of the two methods are discussed with simple examples.

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Implementation of Temperature Measurement System Using Fuzzy Theory (Fuzzy 이론을 이용한 디지털 온도계측 시스템의 구현)

  • Kang, Moon-Sung;Hong, Sung-Hun
    • Proceedings of the KIEE Conference
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    • 1997.07b
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    • pp.510-512
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    • 1997
  • Measurement errors in a temperature measurement system are mainly due to the consisting elements' accuracies and the circuit parameters' changes following the environment variations such as temperature. Further, system's non-linearity makes the measurement accuracy worse, and accordingly a linearization method should be considered to avoid this worsening. In this study, an error-correction method and a linearization method are proposed and a system utilizing these methods is realized.

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A Study on Feedforward System for IMT-2000

  • Jeon Joong-Sung
    • Journal of Advanced Marine Engineering and Technology
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    • v.30 no.4
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    • pp.505-513
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    • 2006
  • A linear power amplifier is particularly emphasized on the system using a linear modulations, such as 16QAM and QPSK with pulse shaping. because intermodulation distortion which causes adjacent channel interference and co-channel interference is mostly generated in a nonlinear power amplifier. In this paper, parameters of a linearization loop, such as an amplitude imbalance a phase imbalance and a delay mismatch, are briefly analyzed to get a specific cancellation performance and linearization bandwidth. Experimental results are presented for IMT-2000 frequency band. The center frequency of the feedforward amplifier is 2140 MHz with 60 MHz bandwidth. When the average output power of feedforward amplifier is 20 Watt. the intermodulation cancellation performance is more than 21 dB. In this case, the output power of feedforward amplifier reduced 3.5 dB because of extra delay line loss and coupling loss. The feedforward amplifier efficiency is more than 7.2 % for multicarrier signals, 59 dBc for ACPR.

Robust Stability Analysis of Fuzzy Feedback Linearization Control Systems

  • Park, Chang-Woo;Lee, Chang-Hoon;Park, Mignon
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.2 no.1
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    • pp.78-82
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    • 2002
  • In this paper, we have studied a numerical stability analysis method for the robust fuzzy feedback linearization regulator using Takagi-Sugeno fuzzy model. To analyze the robust stability, we assume that uncertainty is included in the model structure with known bounds. For these structured uncertainty, the robust stability of the closed system is analyzed by applying Linear Matrix Inequalities theory following a transformation of the closed loop systems into Lur'e systems.

Integrated equations of motion for direct integration methods

  • Chang, Shuenn-Yih
    • Structural Engineering and Mechanics
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    • v.13 no.5
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    • pp.569-589
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    • 2002
  • In performing the dynamic analysis, the step size used in a step-by-step integration method might be much smaller than that required by the accuracy consideration in order to capture the rapid chances of dynamic loading or to eliminate the linearization errors. It was first found by Chen and Robinson that these difficulties might be overcome by integrating the equations of motion with respect to time once. A further study of this technique is conducted herein. This include the theoretical evaluation and comparison of the capability to capture the rapid changes of dynamic loading if using the constant average acceleration method and its integral form and the exploration of the superiority of the time integration to reduce the linearization error. In addition, its advantage in the solution of the impact problems or the wave propagation problems is also numerically demonstrated. It seems that this time integration technique can be applicable to all the currently available direct integration methods.

Torque Trajectory Control of Interior PM Synchronous Motor Using Adaptive Input-Output Linearization Technique (적응 입출력 선형화 제어 기법을 이용한 매입형 영구 자석 동기 전동기의 토오크 궤적 제어)

  • Kim, Kyeong-Hwa;Baik, In-Cheol;Kim, Hyun-Soo;Moon, Gun-Woo;Youn, Myung-Joong
    • Proceedings of the KIEE Conference
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    • 1996.07a
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    • pp.578-581
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    • 1996
  • A torque trajectory control of the IPM synchronous motor using an adaptive input-output linearization technique is proposed. The input-output linearization is performed using the estimated torque output with the knowledge of machine parameters. The linearized model gives the output torque error under the variation of the flux linkage. To give a good torque tracking in the presence of the flux linkage variation, the flux linkage will be estimated where the adaptation law h derived by the Popov's hyperstability theory and the positivity concept. This estimated value is also used for the generation of the d-axis current command for the maximum torque control. Thus, a good torque tracking and the exact maximum torque-per-current operation will be obtained.

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Linearization of the Multi-input Discrete-time Nonlinear Systems (다 입력 이산 비선형 시스템의 선형화)

  • Kim, Jae-Hyun;Roh, Dong-Hwi;Park, Soon-Hyoung;Kim, Yong-Min;Lee, Hong-Gi
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.1
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    • pp.30-39
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    • 2000
  • In order to linearize the nonlinear systems, two different methods(i.e. state coordinate change and feedback) are usually used. In this paper, we consider the multi-input discrete-time nonlinear systems and obtain the necessary and sufficient conditions for both the linearization problem by state-coordinate change and the feedback linearization problem. The way of finding state coordinate change and state feedback which linearize the given system is also given in the proof.

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Linearizing and Control of a Three-phase Photovoltaic System with Feedback Method and Intelligent Control in State-Space

  • Louzazni, Mohamed;Aroudam, Elhassan
    • Transactions on Electrical and Electronic Materials
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    • v.15 no.6
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    • pp.297-304
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    • 2014
  • Due to the nonlinearity and complexity of the three-phase photovoltaic inverter, we propose an intelligent control based on fuzzy logic and the classical proportional-integral-derivative. The feedback linearization method is applied to cancel the nonlinearities, and transform the dynamic system into a simple and linear subsystem. The system is transformed from abc frame to dq0 synchronous frame, to simplify the state feedback linearization law, and make the close-loop dynamics in the equivalent linear model. The controls improve the dynamic response, efficiency and stability of the three-phase photovoltaic grid system, under variable temperature, solar intensity, and load. The intelligent control of the nonlinear characteristic of the photovoltaic automatically varies the coefficients $K_p$, $K_i$, and $K_d$ under variable temperature and irradiation, and eliminates the oscillation. The simulation results show the advantages of the proposed intelligent control in terms of the correctness, stability, and maintenance of its response, which from many aspects is better than that of the PID controller.