• Title/Summary/Keyword: Inverse system theory

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Finite Element Analysis of Functionally Graded Plates using Inverse Hyperbolic Shear Deformation Theory

  • Kulkarni, Kamlesh;Singh, Bhrigu Nath;Maiti, Dipak Kumar
    • International Journal of Aerospace System Engineering
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    • v.3 no.1
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    • pp.1-4
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    • 2016
  • Functionally graded materials (FGMs) are becoming very popular in various industries due to their effectiveness of the utilization of their constituent elements. However, the modelling of these materials is difficult due to the complex nature of variation of material properties across the thickness. Many shear deformation theories have been developed and employed for the analysis of such functionally graded plates (FGPs). A recently developed inverse hyperbolic shear deformation theory has been successfully employed by Grover et al. [1] for the analysis of laminated composites and sandwich plates. The objective of the study is to obtain finite element solution for the structural analysis of functionally graded plates using inverse hyperbolic shear deformation theory. Finite element analysis facilitates the analysis of complex problems such as functionally graded plates with different boundary conditions and different loadings.

THE GENERALIZED INVERSE ${A_{T,*}}^{(2)}$ AND ITS APPLICATIONS

  • Cao, Chong-Guang;Zhang, Xian
    • Journal of applied mathematics & informatics
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    • v.11 no.1_2
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    • pp.155-164
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    • 2003
  • The existence and representations of some generalized inverses, including ${A_{T,*}}^{(2)},\;{A_{T,*}}^{(1,2)},\;{A_{T,*}}^{(2,3)},\;{A_{*,S}}^{(2)},\;{A_{*,S}}^{(1,2)}\;and\;{A_{*,S}}^{(2,4)}$, are showed. As applications, the perturbation theory for the generalized inverse {A_{T,S}}^{(2)} and the perturbation bound for unique solution of the general restricted system $A_{x}$ = b(dim(AT)=dimT, $b{\in}AT$ and $x{\in}T$) are studied. Moreover, a characterization and representation of the generalized inverse ${A_{T,*}}^{(2)}$ is obtained.

DERIVED CUP PRODUCT AND (STRICTLY) DERIVED GROUPS

  • Lee, Dae-Woong
    • Bulletin of the Korean Mathematical Society
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    • v.35 no.4
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    • pp.791-807
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    • 1998
  • The purpose of this paper is to construct a ring with unity under the derived cup product on the cochain groups of the inverse system and an isomorphism which is useful as the computation of a derived group by deleting the suitable terms in the directed set D. Moreover we apply these results to the K-theory.

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Damage Detection of Truss Structures Using Parametric Projection Filter Theory (파라메트릭 사양필터를 이용한 트러스 구조물의 손상 검출)

  • Mun, Hyo-Jun;Suh, Ill-Gyo
    • 한국공간정보시스템학회:학술대회논문집
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    • 2004.05a
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    • pp.29-36
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    • 2004
  • In this paper, a study of damage detection for 2-Dimensional Truss Structures using the parametric projection filter theory is presented. Many researchers are interested in inverse problem and one of solution procedures for inverse problems that are very effective is the approach using the filtering algorithm in conjunction with numerical solution methods. In filtering algorithm, the Kalman filtering algorithm is well known and have been applied to many kind of inverse problems. In this paper, the Parametric projection filtering in conjunction with structural analysis is applied to the identification of damages in 2-D truss structures. The natural frequency and modes of damaged truss model are adopted as the measurement data. The effectiveness of proposed method is verified through the numerical examples.

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Adaptive nonlinear compensation of digital communication channels using a volterra filter (볼테라 필터를 이용한 디지털 통신 채널의 적응 비선형 보상기법)

  • 김진영;최봉준;남상원
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.16-19
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    • 1996
  • The objective of this paper is to present a new adaptive nonlinear compensation method, which is based upon the Pth-order inverse theory and can be implemented in a systematic way, for weakly nonlinear systems that can be modeled by a Volterra series. In particular, employment of the proposed approach for the linearization of a given nonlinear system leads to the effective elimination of (up to a required order) nonlinearities in the overall system output. To demonstrate the feasibility of the proposed method, simulation results using a satellite communication system model are also provided.

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Development of Vision Based Steering System for Unmanned Vehicle Using Robust Control

  • Jeong, Seung-Gweon;Lee, Chun-Han;Park, Gun-Hong;Shin, Taek-Young;Kim, Ji-Han;Lee, Man-Hyung
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1700-1705
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    • 2003
  • In this paper, the automatic steering system for unmanned vehicle was developed. The vision system is used for the lane detection system. This paper defines two modes for detecting lanes on a road. First is searching mode and the other is recognition mode. We use inverse perspective transform and a linear approximation filter for accurate lane detections. The PD control theory is used for the design of the controller to compare with $H_{\infty}$ control theory. The $H_{\infty}$ control theory is used for the design of the controller to reduce the disturbance. The performance of the PD controller and $H_{\infty}$ controller is compared in simulations and tests. The PD controller is easy to tune in the test site. The $H_{\infty}$ controller is robust for the disturbances in the test results.

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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.

Feedback Error Learning and $H^{\infty}$-Control for Motor Control

  • Wongsura, Sirisak;Kongprawechnon, Waree;Phoojaruenchanachai, Suthee
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1981-1986
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    • 2004
  • In this study, the basic motor control system had been investigated. The controller for this study consists of two main parts, a feedforward controller part and a feedback controller part. Each part will deals with different control problems. The feedback controller deals with robustness and stability, while the feedforward controller deals with response speed. The feedforward controller, used to solve the tracking control problem, is adaptable. To make such a tracking perfect, an adaptive law based on Feedback Error Learning (FEL) is designed so that the feedforward controller becomes an inverse system of the controlled plant. The novelty of FEL method lies in its use of feedback error as a teaching signal for learning the inverse model. The theory in $H^{\infty}$-Control is selected to be applied in the feedback part to guarantee the stability and solve the robust stabilization problems. The simulation of each individual part and the integrated one are taken to clarify the study.

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A Study On the Manufacturing process of Cylindrical Cam based on Relative Velocity Method and Inverse Kinematics (상대속도법과 역기구학을 이용한 원통 캠의 가공에 관한 연구)

  • 구병국;신중호;강동우;장세원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.10a
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    • pp.402-405
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    • 1997
  • Based on the relative velocity method and the inverse kinematics theory, this paper presents an automated system for designing and manufacturing of an open type cylindrical cam with a rotating follower(OCRF). In the first part, this paper defines the relative velocity method for OCRF and calculates the contact point by using the coordinate transformation technique. In the second part, it generates NC Code of a CNC machine center for inverse kinematics by using the cutter location and the cutter orientation of OCRF. Finally, the automated CADICAM program developed in the paper shows an example on the desip and manufacture process of OCRF.

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An Implementation of Real-time Motion Restoration System based on Inverse Kinematics (역운동학을 이용한 실시간 동작 복원 시스템 구현)

  • Lee, R.H.;Lee, C.W.
    • Journal of Korea Multimedia Society
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    • v.17 no.6
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    • pp.741-750
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    • 2014
  • This paper presents a real-time motion restoration system for people who need remedial exercise of musculoskeletal based on Inverse Kinematics. A new approach is suggested to recognize a gesture based on restored human motion which is calculated the 3D positions of intermediate joints using 3D positions of body features estimated from images. For generating the 3D candidate positions of intermediate joints which cannot be extracted from images, we apply an Inverse Kinematics theory to compute the target position of intermediate joints. And we can reduce the number of candidate positions by applying the various physical constraints of body. Finally, we can generate the more accurate final position using the Kalman filter for a motion tracking and the relationship between the previous frame information and the candidate positions. The system provide motion information which are rotation angle and height in real-time, therefore the rehabilitation exercises can be performed based on the information and figured out proper exercise for individual status.