• Title/Summary/Keyword: Weighted least squares method

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Tracking Detection using Information Granulation-based Fuzzy Radial Basis Function Neural Networks (정보입자기반 퍼지 RBF 뉴럴 네트워크를 이용한 트랙킹 검출)

  • Choi, Jeoung-Nae;Kim, Young-Il;Oh, Sung-Kwun;Kim, Jeong-Tae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.12
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    • pp.2520-2528
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    • 2009
  • In this paper, we proposed tracking detection methodology using information granulation-based fuzzy radial basis function neural networks (IG-FRBFNN). According to IEC 60112, tracking device is manufactured and utilized for experiment. We consider 12 features that can be used to decide whether tracking phenomenon happened or not. These features are considered by signal processing methods such as filtering, Fast Fourier Transform(FFT) and Wavelet. Such some effective features are used as the inputs of the IG-FRBFNN, the tracking phenomenon is confirmed by using the IG-FRBFNN. The learning of the premise and the consequent part of rules in the IG-FRBFNN is carried out by Fuzzy C-Means (FCM) clustering algorithm and weighted least squares method (WLSE), respectively. Also, Hierarchical Fair Competition-based Parallel Genetic Algorithm (HFC-PGA) is exploited to optimize the IG-FRBFNN. Effective features to be selected and the number of fuzzy rules, the order of polynomial of fuzzy rules, the fuzzification coefficient used in FCM are optimized by the HFC-PGA. Tracking inference engine is implemented by using the LabVIEW and loaded into embedded system. We show the superb performance and feasibility of the tracking detection system through some experiments.

A Damping Distribution Method for Inverse Kinematics Problem Near Singular Configurations (특이점 근방에서 역 기구학 해를 구하기 위한 자동 감쇄 분배 방법)

  • 성영휘
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.6
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    • pp.780-785
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    • 1998
  • In this paper, it is shown that the conventional methods for dealing with the singularity problem of a manipulator can be generalized as a local minimization problem with differently weighted objective functions. A new damping method proposed in this article automatically determines the damping amounts for singular values, which are inversely proportional to the magnitude of the singular values. Furthermore, this can be done without explicitly computing the singular values. The proposed method can be applied to all the manipulators with revolute joints.

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A new generalization of exponentiated Frechet distribution

  • Diab, L.S.;Elbatal, I.
    • International Journal of Reliability and Applications
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    • v.17 no.1
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    • pp.65-84
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    • 2016
  • Motivated by the recent work of Cordeiro and Castro (2011), we study the Kumaraswamy exponentiated Frechet distribution (KEF). We derive some mathematical properties of the (KEF) including moment generating function, moments, quantile function and incomplete moment. We provide explicit expressions for the density function of the order statistics and their moments. In addition, the method of maximum likelihood and least squares and weighted least squares estimators are discuss for estimating the model parameters. A real data set is used to illustrate the importance and flexibility of the new distribution.

A WEIGHTED GLOBAL GENERALIZED CROSS VALIDATION FOR GL-CGLS REGULARIZATION

  • Chung, Seiyoung;Kwon, SunJoo;Oh, SeYoung
    • Journal of the Chungcheong Mathematical Society
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    • v.29 no.1
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    • pp.59-71
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    • 2016
  • To obtain more accurate approximation of the true images in the deblurring problems, the weighted global generalized cross validation(GCV) function to the inverse problem with multiple right-hand sides is suggested as an efficient way to determine the regularization parameter. We analyze the experimental results for many test problems and was able to obtain the globally useful range of the weight when the preconditioned global conjugate gradient linear least squares(Gl-CGLS) method with the weighted global GCV function is applied.

Analysis of axisymmetric extrusion through curved dies by using the method of weighted residuals (가중잔류항법을 이용한 곡면금형의 축대칭 전방압출해석)

  • 조종래;양동열
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.11 no.3
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    • pp.509-518
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    • 1987
  • The paper is concerned with the analysis of axisymmetric forward extrusion by using the method of weighted residuals. In the method of weighted residuals, the flow function and the stress functions are assumed so as to cover the global control volume. The derived stress and strain components are used to formulate a constitutive equation in the error form, so that the error is minimized to determine the stress and strain components. The method of least squares is then chosen for the minimization of errors. The distribution of stresses and strains and the forming load are determined for the workhardening material considering the frictional effect at the die surface. The computed results are very similar to those obtained by the finite element method. The method is simpler in application and requires less computational time than the finite element method. Experiments are carried out for aluminum and steel specimens using curved dies. It is found that the experimental observation is mostly in agreement with the computed results by the method of weighted residuals.

Design of reduced-order controllers in two-degree-of-freedom control systems

  • Nakamura, T.;Obinata, G.;Inooka, H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10b
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    • pp.753-758
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    • 1988
  • In this paper, we propose a new method of designing a reduced-order controller for a linear discrete-time system. Firstly, we study a design problem for a two-degree-of-freedom control system with a feedforward controller. Secondly, in order to obtain a reduced-order controller, frequency-weighted least squares approximation problems are considered. Thirdly, we propose a synthesis procedure of a reduced-order controller. Finally, an example is given to illustrate the effectiveness of this proposed method.

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Design of Adaptive Observer Applied to M.R.A.C. by Selection of State Variable Filter (상태변수 필터 선정에 의한 적응 관측기의 설계 및 기준모델 적응제어)

  • 홍연찬;김종환;최계근
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.24 no.4
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    • pp.597-602
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    • 1987
  • In this paper, an adaptive observe based upon the exponentially weighted least-squares method is implemented in the design of a model reference adaptive controller for an unknown time-invariant discrete single-input single-output linear plant. A method of selecting the state variable filter is proposed. In this scheme, all the past data are weithted exponentially with the weighting coefficient.

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Pole-Zero Assignment Self-Tuning Controller Using Neural Network (신경회로망 기법을 이용한 극-영점 배치 자기 동조 제어기)

  • 구영모;이윤섭;장석호;우광방
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.2
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    • pp.183-191
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    • 1991
  • This paper develops a pole-zero assignment self-tuning regulator utilizing the method of a neural network in the plant parameter estimation. An approach to parameter estimation of the plant with a Hopfield neural network model is proposed, and the control characteristics of the plant are evaluated by means of a simulation for a second-order linear time invariant plant. The results obtained with those of Exponentially Weighted Recursive Least Squares(EWRLS) method are also shown.

Slope and Roughness Extraction Method from Terrain Elevation Maps (지형 고도 맵으로부터 기울기와 거칠기 추출 방법)

  • Jin, Gang-Gyoo;Lee, Hyun-Sik;Lee, Yun-Hyung;So, Myung-Ok;Shin, Ok-Keun;Chae, Jeong-Sook;Lee, Young-Il
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.9
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    • pp.909-915
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    • 2008
  • Recently, the interests in the development and application of unmaned robots are increasing in various fields including surveillance and reconnaissance, planet exploration, and disaster relief. Unmaned robots are usually controlled from distance using radio communications but they should be equipped with an autonomous travelling function to cope with unexpected terrains and obstacles. This means that they should be able to evaluate terrain's characteristics quantitatively using mounted sensors so as to traverse harsh natural terrains autonomously. For this purpose, this paper presents a method for extracting terrain information, that is, slope and roughness from elevation maps as a prior step of traversability analysis. Slope is extracted using the curve fitting based on the least squares method and roughness using three metrics and their weighted average. The effectiveness of the proposed method is verified on both a fractal map and the world model map of a real terrain.

Identification of plastic deformations and parameters of nonlinear single-bay frames

  • Au, Francis T.K.;Yan, Z.H.
    • Smart Structures and Systems
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    • v.22 no.3
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    • pp.315-326
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    • 2018
  • This paper presents a novel time-domain method for the identification of plastic rotations and stiffness parameters of single-bay frames with nonlinear plastic hinges. Each plastic hinge is modelled as a pseudo-semi-rigid connection with nonlinear hysteretic moment-curvature characteristics at an element end. Through the comparison of the identified end rotations of members that are connected together, the plastic rotation that furnishes information of the locations and plasticity degrees of plastic hinges can be identified. The force consideration of the frame members may be used to relate the stiffness parameters to the elastic rotations and the excitation. The damped-least-squares method and damped-and-weighted-least-squares method are adopted to estimate the stiffness parameters of frames. A noise-removal strategy employing a de-noising technique based on wavelet packets with a smoothing process is used to filter out the noise for the parameter estimation. The numerical examples show that the proposed method can identify the plastic rotations and the stiffness parameters using measurements with reasonable level of noise. The unknown excitation can also be estimated with acceptable accuracy. The advantages and disadvantages of both parameter estimation methods are discussed.