• Title/Summary/Keyword: invariant theory

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대변형 초탄성 재료의 해석을 위한 무요소 적응기법

  • 전석기;정동원
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.736-739
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    • 1995
  • The meshless adaptive method based on multiple scale analysis is developed to simulate large deformation problems. In the procedure, new particles are simply added to the orginal particle distribution because meshless methods do not require mesh structures in the formulations. The high scale component of the approximated solution detects the localized region where a refinement is needed. The high scale component of the second invariant od Green-Lagrangian strain tensor is suggested as the new high gradient detector for adaptive procedures. The feasibility of the proposed theory is demonstrated by a numerical experiment for the large deformation of hyperelastic materials.

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Absolutely Stable Region for Missile Guidance Loop (유도탄 유도루프의 절대안정한 시간영역)

  • Kim, Jong-Ju;Lyou, Joon
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.36 no.3
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    • pp.244-249
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    • 2008
  • In this paper, the stable region for missile guidance loop employing an integrated proportional navigation guidance law is derived. The missile guidance loop is formulated as a closed-loop control system consisting of a linear time-invariant feed-forward block and a time-varying feedback gain. By applying the circle criterion to the system, a bound for the time of flight up to which stability can be assured is established as functions of flight time. Less conservative results, as compared to the result by Popov criterion, are obtained.

STABLE CLASS OF EQUIVARIANT ALGEBRAIC VECTOR BUNDLES OVER REPRESENTATIONS

  • Masuda, Mikiya
    • Journal of the Korean Mathematical Society
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    • v.39 no.3
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    • pp.331-349
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    • 2002
  • Let G be a reductive algebraic group and let B, F be G-modules. We denote by $VEC_{G}$ (B, F) the set of isomorphism classes in algebraic G-vector bundles over B with F as the fiber over the origin of B. Schwarz (or Karft-Schwarz) shows that $VEC_{G}$ (B, F) admits an abelian group structure when dim B∥G = 1. In this paper, we introduce a stable functor $VEC_{G}$ (B, $F^{\chi}$) and prove that it is an abelian group for any G-module B. We also show that this stable functor will have nice properties.

ADAPTIVE CONTROL SYSTEM DESIGN BASED ON CGT ATTROACH

  • Ohtsuka, H.;Mizumoto, I.;Iwai, Z.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.189-194
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    • 1994
  • Adaptive control systems based upon the command generator tracker(CGT) approach have attracted considerable interest because of the simple structure of its adaptive controller. Some attempts to such improve the adaptive control algorithm, for the sake of the application to broader class of plants, are made. Recently, Su and Sobel(1992) proposed that those schemes can be treated by an unified theory using a metasystem representation with some types of supplementary dynamics. However, in their method, it is difficult to find the dynamic compensator, which is proper and output feedback stabilizable, for the uncertain plant. This paper proposes a new design method of such supplementary dynamics and some parameters of adaptive control system for linear time invariant SISO plants. The method gives a concrete and systematic design method using only a few priori knowledge of the plant.

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A servo design method for MIMO Wiener systems with nonlinear uncertainty

  • Kim, Sang-Hoon;Kunimatsu, Sadaaki;Fujii, Takao
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1960-1965
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    • 2005
  • This paper presents theory for stability analysis and design of a servo system for a MIMO Wiener system with nonlinear uncertainty. The Wiener system consists of a linear time-invariant system(LTI) in cascade with a static nonlinear part ${\psi}$(y) at the output. We assume that the uncertain static nonlinear part is sector bounded and decoupled. In this research, we treat the static nonlinear part as multiplicative uncertainty by dividing the nonlinear part ${\psi}$(y) into ${\phi}$(y) := ${\psi}$(y)-y and y, and then we reduce this stabilizing problem to a Lur'e problem. As a result, we show that the servo system with no steady state error for step references can be constructed for the Wiener system.

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Revision on the Frequency Domain Conditions for Strict Positive Realness

  • Moghaddam Mojtaba Hakimi;Khaloozadeh Hamid
    • International Journal of Control, Automation, and Systems
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    • v.5 no.1
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    • pp.1-7
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    • 2007
  • In this paper, the necessary and sufficient conditions for strict positive realness of the rational transfer functions directly from basic definitions in the frequency domain are studied. A new frequency domain approach is used to check if a rational transfer function is a strictly positive real or not. This approach is based on the Taylor expansion and the Maximum Modulus Principle which are the fundamental tools in the complex functions analysis. Four related common statements in the strict positive realness literature which is appeared in the control theory are discussed. The drawback of these common statements is analyzed through some counter examples. Moreover a new necessary condition for strict positive realness is obtained from high frequency behavior of the Nyquist diagram of the transfer function. Finally a more simplified and completed conditions for strict positive realness of single-input single-output linear time-invariant systems are presented based on the complex functions analysis approach.

Optimization of 3D target feature-map using modular mART neural network (모듈구조 mART 신경망을 이용한 3차원 표적 피쳐맵의 최적화)

  • 차진우;류충상;서춘원;김은수
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.2
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    • pp.71-79
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    • 1998
  • In this paper, we propose a new mART(modified ART) neural network by combining the winner neuron definition method of SOM(self-organizing map) and the real-time adaptive clustering function of ART(adaptive resonance theory) and construct it in a modular structure, for the purpose of organizing the feature maps of three dimensional targets. Being constructed in a modular structure, the proposed modular mART can effectively prevent the clusters from representing multiple classes and can be trained to organze two dimensional distortion invariant feature maps so as to recognize targets with three dimensional distortion. We also present the recognition result and self-organization perfdormance of the proposed modular mART neural network after carried out some experiments with 14 tank and fighter target models.

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A Study on Robust Controller Design of Robotic Manipulator Using Direct Adaptive Control (직접 적응제어방식에 의한 로봇 머니퓰레이터의 견실한 제어기 설계에 관한 연구)

  • Han, Sung-Hyun;Park, Han-Il
    • Journal of Ocean Engineering and Technology
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    • v.3 no.2
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    • pp.559-559
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    • 1989
  • This paper deals with the robust controller design of robot manipulator to track a desired trajectory in spite of the presence of unmodelled dynamics in cause of nonlinearity and parameter uncertainty. The approach follwed in this paper is based on model reference adaptive control technique and convergence on hyperstability theory but it does away with the assumption that process is characterized by a linear model remaining time invariant during adaptation process. The performance of controller is demonstrated by computed simulation about position and speed control of six link manipulator in case of disturbance and payload variation.

A Study on Robust Controller Design of Robotic Manipulator Using Direct Adaptive Control (직접 적응제어방식에 의한 로봇 머니퓰레이터의 견실한 제어기 설계에 관한 연구)

  • Han, Sung-Hyun;Park, Han-Il
    • Journal of Ocean Engineering and Technology
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    • v.3 no.2
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    • pp.59-69
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    • 1989
  • This paper deals with the robust controller design of robot manipulator to track a desired trajectory in spite of the presence of unmodelled dynamics in cause of nonlinearity and parameter uncertainty. The approach follwed in this paper is based on model reference adaptive control technique and convergence on hyperstability theory but it does away with the assumption that process is characterized by a linear model remaining time invariant during adaptation process. The performance of controller is demonstrated by computed simulation about position and speed control of six link manipulator in case of disturbance and payload variation.

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A New Generic Petri Net Model for Design and Performance Evaluation of JIT Flexible Manufacturing and Assembly

  • Seeluangsawat, Roongrat;Bohez, Erik L.J.
    • Proceedings of the IEEK Conference
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    • 2002.07b
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    • pp.963-966
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    • 2002
  • This paper presents a new generic Petri net model for design and performance evaluation of a flexible assembly system with dual kanban. The architectural design of the model is derived from a generic bill of materials and the combination of FMS and FAS concepts. Two approaches for analysis and performance evaluation of the new model base on the theory of invariant analysis and linear programming are also introduced. Finally, the effect of different processing times between FMS-FAS on the number of kanban cards is investigated.

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