• Title/Summary/Keyword: Nonlinear least square Algorithm

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Design of a nonlinear Multivariable Self-Tuning PID Controller based on neural network (신경회로망 기반 비선형 다변수 자기동조 PID 제어기의 설계)

  • Cho, Won-Chul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.44 no.6
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    • pp.1-10
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    • 2007
  • This paper presents a direct nonlinear multivariable self-tuning PID controller using neural network which adapts to the changing parameters of the nonlinear multivariable system with noises and time delays. The nonlinear multivariable system is divided linear part and nonlinear part. The linear controller are used the self-tuning PID controller that can combine the simple structure of a PID controllers with the characteristics of a self-tuning controller, which can adapt to changes in the environment. The linear controller parameters are obtained by the recursive least square. And the nonlinear controller parameters are achieved the through the Back-propagation neural network. In order to demonstrate the effectiveness of the proposed algorithm, the computer simulation results are presented to adapt the nonlinear multivariable system with noises and time delays and with changed system parameter after a constant time. The proposed PID type nonlinear multivariable self-tuning method using neural network is effective compared with the conventional direct multivariable adaptive controller using neural network.

Decision Feedback Equalizer based on Maximization of Zero-Error Probability (영확률 최대화에 근거한 결정궤환 등화)

  • Kim, Nam-Yong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.36 no.8C
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    • pp.516-521
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    • 2011
  • In this paper, a nonlinear algorithm that maximizes zero-error probability (MZEP) with decision feedback (DF) is proposed to counteract both of severely distorted multi-path fading effect and impulsive noise. The proposed MZEP-DF algorithm has shown the immunity to impulsive noise and the ability of the feedback filter section to cancel the remaining intersymbol interference as well. Compared with the linear MZEP algorithm, it yields above 10 dB enhancement of steady state MSE performance in severely distorted multipath fading channels with impulse noise where the least mean square (LMS) algorithm does not converge below -3dB of MSE.

Multiple Target Angle Tracking Algorithm Using Angular Innovation Extracted from Signal Subspace (신호 부공간에서 구한 방위각 이노베이션을 이용한 다중표적 방위각 추적 알고리즘)

  • Ryu, Chang-Soo;Lee, Su-Hyoung;Lee, Kyun-Kyung
    • Journal of the Korean Institute of Telematics and Electronics S
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    • v.36S no.12
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    • pp.20-26
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    • 1999
  • In this paper, a multiple target angle tracking algorithm that can avoid data association problem and has a simple structure is proposed by obtaining the angular innovation of the targets from a signal subspace. The signal subspace is recursively estimated by a signal subspace tracking algorithm, such as PAST. A nonlinear matrix equation which satisfy the estimated signal subspace and the angular innovation is induced and expanded into a Taylor series for linear approximation. The angular innovation is obtained by solving the approximated linear matrix equation in the least square sense. The good performance of the proposed algorithm is demonstrated by various computer simulations.

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Short-term Operation Scheduling of Cogeneration Systems Using Genetic Algorithm (열병합발전시스템에서 유전알고리즘을 적용한 단기운전계획 수립)

  • Park, Seong-Hun;Jung, Chang-Ho;Lee, Jong-Beom
    • Journal of Energy Engineering
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    • v.6 no.1
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    • pp.11-18
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    • 1997
  • This paper describes a daily operation scheduling of cogeneration systems using Genetic Algorithm. The simulation was performed in the case of bottoming cycle. The efficiency of cogeneration system which has nonlinear characteristic is obtained by the least square method based on the real data of industrial cogeneration system. In this paper, Genetic Algorithm is coded as a vector of floating point representation which can reduce computation time and obtain high precision The simulated results show that the genetic algorithm can be efficiently applied to establish the operation scheduling.

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Fuzzy inference system and Its Optimization according to partition of Fuzzy input space (퍼지 입력 공간 분할애 따른 퍼지 추론과 이의 최적화)

  • Park, Byoung-Jun;Yoon, Ki-Chan;Oh, Sung-Kwun;Jang, Seong-Whan
    • Proceedings of the KIEE Conference
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    • 1998.11b
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    • pp.657-659
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    • 1998
  • In order to optimize fuzzy modeling of nonlinear system, we proposed a optimal fuzzy model according to the characteristic of I/O relationship, HCM method, the genetic algorithm, and the objective function with weighting factor. A conventional fuzzy model has difficulty in definition of membership function. In order to solve its problem, the premise structure of the proposed fuzzy model is selected by both the partition of input space and the analysis of input-output relationship using the clustering algorithm. The premise parameters of the fuzzy model are optimized respectively by the genetic algorithm and the consequence parameters of the fuzzy model are identified by the standard least square method. Also, the objective function with weighting factor is proposed to achieve a balance between the performance results for the training and testing data.

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Convergence Analysis of the Least Mean Fourth Adaptive Algorithm (최소평균사승 적응알고리즘의 수렴특성 분석)

  • Cho, Sung-Ho;Kim, Hyung-Jung;Lee, Jong-Won
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.1E
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    • pp.56-64
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    • 1995
  • The least mean fourth (LMF) adaptive algorithm is a stochastic gradient method that minimizes the error in the mean fourth sense. Despite its potential advantages, the algorithm is much less popular than the conventional least mean square (LMS) algorithm in practice. This seems partly because the analysis of the LMF algorithm is much more difficult than that of the LMS algorithm, and thus not much still has been known about the algorithm. In this paper, we explore the statistical convergence behavior of the LMF algorithm when the input to the adaptive filter is zero-mean, wide-sense stationary, and Gaussian. Under a system idenrification mode, a set of nonlinear evolution equations that characterizes the mean and mean-squared behavior of the algorithm is derived. A condition for the conbergence is then found, and it turns out that the conbergence of the LMF algorithm strongly depends on the choice of initial conditions. Performances of the LMF algorithm are compared with those of the LMS algorithm. It is observed that the mean convergence of the LMF algorithm is much faster than that of the LMS algorithm when the two algorithms are designed to achieve the same steady-state mean-squared estimation error.

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Robust Estimation of Camera Parameters from Video Signals for Video Composition (영상합성을 위한 영상으로부터의 견실한 카메라피라미터 확정법)

  • 박종일;이충웅
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.32B no.10
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    • pp.1305-1313
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    • 1995
  • In this paper, we propose a robust estimation of camera parameters from image sequence for high quality video composition. We first establish correspondence of feature points between consecutive image fields. After the establishment, we formulate a nonlinear least-square data fitting problem. When the image sequence contains moving objects, and/or when the correspondence establishment is not successful for some feature points, we get bad observations, outliers. They should be properly eliminated for a good estimation. Thus, we propose an iterative algorithm for rejecting the outliers and fitting the camera parameters alternatively. We show the validity of the proposed method using computer generated data sets and real image sequeces.

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Optimal Design of Fuzzy Relation-based Fuzzy Inference Systems Based on Evolutionary Information Granulation (진화론적 정보 입자에 기반한 퍼지 관계 기반 퍼지 추론 시스템의 최적 설계)

  • Park, Keon-Jun;Kim, Hyun-Ki;Oh, Sung-Kwun
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.340-342
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    • 2004
  • In this paper, we introduce a new category of fuzzy inference systems baled on information granulation to carry out the model identification of complex and nonlinear systems. Informal speaking, information granules are viewed as linked collections of objects(data, in particular) drawn together by the criteria of proximity, similarity, or functionality. Granulation of information with the aid of Hard C-Means(HCM) clustering algorithm help determine the initial parameters of fuzzy model such as the initial apexes of the membership functions and the initial values of polyminial functions being used in the premise and consequence part of the fuzzy rules. And the initial parameters are tuned effectively with the aid of the genetic algorithms(GAs) and the least square method. The proposed model is contrasted with the performance of the conventional fuzzy models in the literature.

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Estimation of Thermal Behavior for the Machine Origin of Machine Tools using GMOH Methodology (GMOH 기법에 의한 공작기계 원점의 열적거동 예측)

  • 안중용
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 1997.10a
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    • pp.213-218
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    • 1997
  • Thermal deformation of machine origin of machine tools due to internal and external heat sources has been the most important problem to fabricate products with higher accuracy and performance. In order to solve this problem, GMDH models were constructed to estimate thermal deformation of machine origin for a vertical machining ceneter through measurement of temperature data of specific points on the machine tool. These models are nonlinear equations with high-order polynomials and implemented in a multilayered perceptron type network structure. Input variables and orders are automatically selected by correlation and optimization procedure. Sensors with small influence are deleted automatically in this algorithm. It was shown that the points of temperature measurement can be reduced without sacrificing the estimation accuracy of $\pm$5${\mu}{\textrm}{m}$. From the experimental result, it was confirmed that GMDH methodology was superior to least square models to estimate the thermal behavior of machine tools.

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3 Dimensional Position Estimation for Eye-in-Hand Robot Vision (Eye-in-Hand 로보트 비젼을 이용한 3차원 위치 정보의 추정)

  • Jang, Won;Kim, Kyung-Jin;Chung, Myung-Jin;Bien, Zeungnam
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.8
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    • pp.1152-1160
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    • 1989
  • This paper describes a 3 dimensional position estimation method for a eye-in-hand robot vision system. The camera is mounted on the tip of a robot manipulator, and moves without restriction. Sequences of images are considered simultaneously for nonlinear least-square formation, and the best estimation of the 3 dimensional position is searched by the Simplex search algorithm. The experiments show that the proposed method can provide fairly accurate position information, while the robot is executing a given task.

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