• Title/Summary/Keyword: minimizing matrix

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Design for Micro-stereolithography using Axiomatic Approach (공리적 설계를 이용한 마이크로 광 조형 장치의 설계)

  • 이승재;이인환;조동우
    • Journal of the Korean Society for Precision Engineering
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    • v.21 no.8
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    • pp.106-111
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    • 2004
  • Micro-stereolithography technology has made it possible to fabricate any form of three-dimensional microstructures. It makes a 3D structure by dividing the shape into many slices of relevant thickness along horizontal surface, hardening each layer of slice with a laser, and stacking them up to a desired shape. Until now, however, the micro-stereolithography device was not designed systematically because the key factors governing the device were not considered. In this paper, we designed micro-stereolithography device using axiomatic approach. This paper contains an overview and an analysis of a new proposed system for development of micro-stereolithegraphy device, and detailed descriptions of the activities in this system. The newly designed system offers reduced machine size by minimizing of optical components and decoupled design matrix.

Linear Quadratic Regulation and Tracking using Output Feedback with Direct Feedthrough

  • Kang, Seungeun;Cha, Jihyoung;Ko, Sangho
    • International Journal of Aeronautical and Space Sciences
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    • v.17 no.4
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    • pp.593-603
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    • 2016
  • This paper presents the development of linear quadratic regulation and output tracking algorithms using output feedback when both the measurement and performance output equations contain direct feedthrough terms. Although all physical systems can be modeled without direct feedthrough, there are still many situations where system models with direct feedthrough are important. For this situation, we modify previous work on the same topic for systems without direct feedthrough. It is shown that for the regulation problem, the optimal output feedback gain for a direct feedthrough case can be directly obtained, via a transformation, from the approach used for systems without direct feedthrough. However, for the tracking problem, a new set of coupled matrix equations for determining the optimal output feedback gain is derived from the necessary conditions for minimizing the cost function. The effectiveness of the developed algorithms is demonstrated using numerical examples.

A Maintenance Design of Connected-(r,s)-out-of-(m,n):F System Using Genetic Algorithm (유전자 알고리듬을 이용한(m,n)중-연속(r,s):고장 격자 시스템의 정비 모형)

  • Yun, Won-Young;Kim, Gui-Rae;Jeong, Cheol-Hun
    • Journal of Korean Institute of Industrial Engineers
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    • v.30 no.3
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    • pp.250-260
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    • 2004
  • This study considers a linear connected-(r,s)-out-of-(m,n):F lattice system whose components are ordered like the elements of a linear (m,n )-matrix. We assume that all components are in the state 1 (operating) or 0 (failed) and identical and s-independent. The system fails whenever at least one connected (r,s)-submatrix of failed components occurs. The purpose of this paper is to present an optimization scheme that aims at minimizing the expected cost per unit time. To find the optimal threshold of maintenance intervention, we use a genetic algorithm for the cost optimization procedure. The expected cost per unit time is obtained by Monte Carlo simulation. The sensitivity analysis to the different cost parameters has also been made.

Minimum Variance FIR Smoother for Model-based Signals

  • Kwon, Bo-Kyu;Kwon, Wook-Hyun;Han, Soo-Hee
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.2516-2520
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    • 2005
  • In this paper, finite impulse response (FIR) smoothers are proposed for discrete-time systems. The proposed FIR smoother is designed under the constraints of linearity, unbiasedness, FIR structure, and independence of the initial state information. It is also obtained by directly minimizing the performance criterion with unbiased constraints. The approach to the MVF smoother proposed in this paper is logical and systematic, while existing results have heuristic assumption, such as infinite covariance of the initial state. Additionally, the proposed MVF smoother is based on the general system model that may have the singular system matrix and has both system and measurement noises. Thorough simulation studies, it is shown that the proposed MVF smoother is more robust against modeling uncertainties numerical errors than fixed-lag Kalman smoother which is infinite impulse response (IIR) type estimator.

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Synthesis of Thermally Reduced Graphene Sheets Using Poly(ionic liquid)

  • Lee, Hyun-Wook;Kim, Tae-Young;Suh, Kwang-S.
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2010.06a
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    • pp.256-256
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    • 2010
  • It is demonstrated that graphene sheets are produced via thermal reduction of graphene oxide (GO) in the presence of imidazoium-based poly (ionic liquid) (PIL). PILs plays an important role in minimizing the reduction time and dispersing graphene sheets in organic solvents. In addition, as-obtained graphene sheets are found to be functionalized with PIL molecules by the strong interaction of PIL and the graphene, as analyzed by various physical methods such as atomic force microscopy (AFM), X-ray photoelectric spectroscopy (XPS) and Raman spectroscopy. Such a strong interaction allows the successful production of graphene/PIL composites, in which their electrical properties are controllable by the loading level of graphene in the PIL matrix.

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Active Noise Transmission Control Through a Panel Structure Using a Frequency Domain Identification Method (주파수 영역 모델 방법을 이용한 평판 구조물의 능동 소음전달 제어)

  • Kim, Yeung-Shik;Kim, In-Soo;Moon, Chan-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.9
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    • pp.71-81
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    • 2001
  • This paper analyzes the effectiveness of minimizing vibration and sound transmission on/through a thin rectangular plate by both feedback control and hybrid control which combines adaptive feedforward control with a feedback loop. An experimental system identification technique using the matrix-fractional curve-fitting of the frequency response data is introduced for complex shaped structures. This identification technique reduces the model order o the MIMO(Multi-Input Multi-Output) system which simplifies the practical implementation. The adaptive feedforward control uses a Multiple filtered-x LMS(Least Mean Square) algorithm and the feedback control uses a multivariable digital LQG(Linear Quadratic Gaussian) algorithm. Experimental results show that an effective reduction of sound transmission is achieved by the hybrid control scheme when both vibration and noise measurement signals are incorporated in the controller.

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ARW method for saturating systems

  • Choi, Chong-Ho;Park, Jong-Koo
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.229-234
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    • 1992
  • This paper presents a compensator design method for multivariable feedback control systems with saturating actuators based on the concept of the equilibrium point. Am explicit expression for the compensation matrix of the general anti-reset windup(ARW) scheme is derived by minimizing the distances between the equilibrium points. The resulting dynamics of the compensated controller exhibits the reduced model form of the unsaturated system which can be obtained by the singular perturbational method. The proposed method is applicable to any open-loop stable plants with saturating actuators whose controllers are determined by some design technique. An example is given to show the effectiveness of the proposed method.

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Decentralized Active Vibration Control Systems for Multi Degree of Freedom Structures

  • Wang, Jiankun;Iwai, Zenta;Deng, Mingcong
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.230-233
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    • 1999
  • This paper is concerned with the design method of a de-centralized linear control system and its application to vibration control of multi degree of freedom structures. The method is based on the partial model matching on frequency domain by minimizing the relative model error functions between the diagonal elements of the open loop transfer function matrix of the control system and these of the reference model. The method is examined and evaluated by both simulation and experiment of a multi degree of freedom structure(MDFS).

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Extraction of Shape Information of Cost Function Using Dynamic Encoding Algorithm for Searches(DEAS) (최적화기법인 DEAS를 이용한 비용함수의 형상정보 추출)

  • Kim, Jong-Wook;Park, Young-Su;Kim, Tae-Gyu;Kim, Sang-Woo
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.8
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    • pp.790-797
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    • 2007
  • This paper proposes a new measure of cost function ruggedness in local optimization with DEAS. DEAS is a computational optimization method developed since 2002 and has been applied to various engineering fields with success. Since DEAS is a recent optimization method which is rarely introduced in Korean, this paper first provides a brief overview and description of DEAS. In minimizing cost function with this non-gradient method, information on function shape measured automatically will enhance search capability. Considering the search strategies of DEAS are well designed with binary matrix structures, analysis of search behaviors will produce beneficial shape information. This paper deals with a simple quadratic function contained with various magnitudes of noise, and DEAS finds local minimum yielding ruggedness measure of given cost function. The proposed shape information will be directly used in improving DEAS performance in future work.

Constrained Dynamic Responses of Structures Subjected to Earthquake

  • Eun, Hee Chang;Lee, Min Su
    • Architectural research
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    • v.8 no.2
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    • pp.37-42
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    • 2006
  • Starting from the quadratic optimal control algorithm, this study obtains the relation of the performance index for constrained systems and Gauss's principle. And minimizing a function of the variation in kinetic energy at constrained and unconstrained states with respect to the velocity variation, the dynamic equation is derived and it is shown that the result compares with the generalized inverse method proposed by Udwadia and Kalaba. It is investigated that the responses of a 10-story building are constrained by the installation of a two-bar structure as an application to utilize the derived equations. The structural responses are affected by various factors like the length of each bar, damping, stiffness of the bar structure, and the junction positions of two structures. Under an assumption that the bars have the same mass density, this study determines the junction positions to minimize the total dynamic responses of the structure.