• Title/Summary/Keyword: Inverse Function

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Squint Free Phased Array Antenna System using Artificial Neural Networks

  • Kim, Young-Ki;Jeon, Do-Hong;Thursby, Michael
    • The Journal of Korean Association of Computer Education
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    • v.6 no.3
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    • pp.47-56
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    • 2003
  • We describe a new method for removing non-linear phased array antenna aberration called "squint" problem. To develop a compensation scheme. theoretical antenna and artificial neural networks were used. The purpose of using the artificial neural networks is to develop an antenna system model that represents the steering function of an actual array. The artificial neural networks are also used to implement an inverse model which when concatenated with the antenna or antenna model will correct the "squint" problem. Combining the actual steering function and the inverse model contained in the artificial neural network, alters the steering command to the antenna so that the antenna will point to the desired position instead of squinting. The use of an artificial neural network provides a method of producing a non-linear system that can correct antenna performance. This paper demonstrates the feasibility of generating an inverse steering algorithm with artificial neural networks.

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DIRECT INVERSE ROBOT CALIBRATION USING CMLAN (CEREBELLAR MODEL LINEAR ASSOCIATOR NET)

  • Choi, D.Y.;Hwang, H.
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1173-1177
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    • 1990
  • Cerebellar Model Linear Associator Net(CMLAN), a kind of neuro-net based adaptive control function generator, was applied to the problem of direct inverse calibration of three and six d.o.f. POMA 560 robot. Since CMLAN autonomously maps and generalizes a desired system function via learning on the sampled input/output pair nodes, CMLAN allows no knowledge in system modeling and other error sources. The CMLAN based direct inverse calibration avoids the complex procedure of identifying various system parameters such as geometric(kinematic) or nongeometric(dynamic) ones and generates the corresponding desired compensated joint commands directly to each joint for given target commands in the world coordinate. The generated net outputs automatically handles the effect of unknown system parameters and dynamic error sources. On-line sequential learning on the prespecified sampled nodes requires only the measurement of the corresponding tool tip locations for three d.o.f. manipulator but location and orientation for six d.o.f. manipulator. The proposed calibration procedure can be applied to any robot.

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3D Animation Authoring Tool Based On Whole Body IK and Motion Editing

  • Ju, Woo-Suk;Im, Choong-Jae
    • Journal of Korea Multimedia Society
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    • v.11 no.6
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    • pp.869-874
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    • 2008
  • The work of creating character motion needs the higher professional technology and sense and the creating work of realistic and natural motion possess the most part of production term. In this paper we introduce the easy and convenient 3D animation authoring tool which makes the motion based on whole-body inverse kinematics and motion editing function. The proposed 3D animation authoring tool uses the forward kinematics using quaternion and whole-body inverse kinematics to determine the rotation and displacement of skeleton. Also, it provides the motion editing function using multi-level B-spline with quasi-interpolant. By using the proposed tool, we can make 3D animation easily and conveniently.

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A New Material Sensitivity Analysis for Electromagnetic Inverse Problems

  • Byun, Jin-Kyu;Lee, Hyang-Beom;Kim, Hyeong-Seok;Kim, Dong-Hun
    • Journal of Magnetics
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    • v.16 no.1
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    • pp.77-82
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    • 2011
  • This paper presents a new self-adjoint material sensitivity formulation for optimal designs and inverse problems in the high frequency domain. The proposed method is based on the continuum approach using the augmented Lagrangian method. Using the self-adjoint formulation, there is no need to solve the adjoint system additionally when the goal function is a function of the S-parameter. In addition, the algorithm is more general than most previous approaches because it is independent of specific analysis methods or gridding techniques, thereby enabling the use of commercial EM simulators and various custom solvers. For verification, the method was applied to the several numerical examples of dielectric material reconstruction problems in the high frequency domain, and the results were compared with those calculated using the conventional method.

System Realization by Using Inverse Discrete Fourier Transformation for Structural Dynamic Models

  • Kim, Hyeung Y.;W. B. Hwang
    • 제어로봇시스템학회:학술대회논문집
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    • 1998.10a
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    • pp.289-294
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    • 1998
  • The distributed-parameter structures expressed with the partial differential equations are considered as the infinite-dimensional dynamic system. For implementation of a controller in multivariate systems, it is necessary to derive the state-space reduced order model. By the eigensystem realization algorithm, we can yield tile subspace system with the Markov parameters derived from the measured frequency response function by the inverse discrete Fourier transformation. We also review the necessary conditions for the convergence of the approximation system and the error bounds in terms of the singular values of Markov-parameter matrices. To determine the natural frequencies and modal damping ratios, the modal coordinate transformation is applied to the realization system. The vibration test for a smart structure is performed to provide the records of frequency response functions used in the subspace system realization.

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Distribution of Votaw's $\lambda_1$(mvc) Criterion

  • Nagar, D.K.;Gupta, A.K.
    • Journal of the Korean Statistical Society
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    • v.23 no.2
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    • pp.303-323
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    • 1994
  • In this paper, distribution of Votaw's $\lambda_1$(mvc) criterion has been obtained using inverse Mellin transform, residue theorem and properties of special functions.

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An analysis Inverse Kinematics for Real Time Operation of Industrial Robot (산업용 로봇의 실시간 운용을 위한 역기구학 해석)

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    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.7 no.1
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    • pp.104-111
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    • 1998
  • This study solves the inverse kinematics problem of industrial FANUC robot. Because every joint angle of FANUC robot is dependent on the position of end-effector and the direction of approach vector, arm metrix T6 is very complicated and each joint angle is a function of other joint angles. Therefore, the inverse kinematics problem can not be solved by conventional methods. Noticing the fact that if one joint angle is known, the other joint angles are calculated by the algebraic methods. $ heta$1 is calculated using neumerical analysis method, and solves inverse kinematics problem. This proposed method, in this study, is more simpler and faster than conventional methods and is very useful in the real-time control of the manipulator.

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Inverse Problem Methodology for Parameter Identification of a Separately Excited DC Motor

  • Hadef, Mounir;Mekideche, Mohamed Rachid
    • Journal of Electrical Engineering and Technology
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    • v.4 no.3
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    • pp.365-369
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    • 2009
  • Identification is considered to be among the main applications of inverse theory and its objective for a given physical system is to use data which is easily observable, to infer some of the geometric parameters which are not directly observable. In this paper, a parameter identification method using inverse problem methodology is proposed. The minimisation of the objective function with respect to the desired vector of design parameters is the most important procedure in solving the inverse problem. The conjugate gradient method is used to determine the unknown parameters, and Tikhonov's regularization method is then used to replace the original ill-posed problem with a well-posed problem. The simulation and experimental results are presented and compared.

Multi-stage Finite Element Inverse Analysis of Elliptic Cup Drawing Processes with the Large Aspect Ratio (세장비가 큰 타원형 컵 성형 공정의 다단계 유한요소 역해석)

  • Kim, S.H.;Kim, S.H.;Huh, H.
    • Transactions of Materials Processing
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    • v.9 no.3
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    • pp.304-312
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    • 2000
  • An inverse finite element approach is employed to efficiently design the optimum blank shape and intermediate shapes from the desired final shape in multi-stage elliptic cup drawing processes. The multi-stage deep-drawing process is difficult to design with the conventional finite element analysis since the process is very complicate with the conventional finite element analysis since the process is very complicated with intermediate shapes and the numerical analysis undergoes the convergence problem even with tremendous computing time. The elliptic cup drawing process needs much effort to design sine it requires full three-dimensional analysis. The inverse analysis is able to omit all complicated and tedious analysis procedures for the optimum process design. In this paper, the finite element inverse analysis provides the thickness strain distribution of each intermediate shape through the multi-stage analysis. The multi-stage analysis deals with the convergence among intermediate shapes and the corresponding sliding constraint surfaces that are described by the analytic function of merged-arc type surfaces.

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Inverse Kinematics Analysis of 7-DOF Anthropomorphic Robot Arm using Conformal Geometric Algebra (등각 기하대수를 이용한 7자유도 로봇 팔의 역기구학 해석)

  • Kim, Je-Seok;Ji, Yong-Kwan;Park, Jahng-Hyon
    • Journal of the Korean Society for Precision Engineering
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    • v.29 no.10
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    • pp.1119-1127
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    • 2012
  • In this paper, we present an inverse kinematics of a 7-dof Anthropomorphic robot arm using conformal geometric algebra. The inverse kinematics of a 7-dof Anthropomorphic robot arm using CGA can be computed in an easy way. The geometrically intuitive operations of CGA make it easy to compute the joint angles of a 7-dof Anthropomorphic robot arm which need to be set in order for the robot to reach its goal or the positions of a redundant robot arm's end-effector. In order to choose the best solution of the elbow position at an inverse kinematics, optimization techniques have been proposed to minimize an objective function while satisfying the euler-lagrange equation.