• Title/Summary/Keyword: Matrix function

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THE CHOOSING AND ANALYSIS OF WEIGHTING MATRIX IN OPTIMAL CONTROL DESIGN. (최적제어 설계에 있어서의 하중행렬의 선택과 해석)

  • Hwang, Chang-Sun;Kim, Chung-Tek
    • Proceedings of the KIEE Conference
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    • 1989.07a
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    • pp.62-65
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    • 1989
  • Optimizing transient response for both tracking reference signals and disturbance rejection is determined by the poles and zeros of the transfer function. Thus, optimal pole assignment and how should weighting matrix for the performance index be chosen is very important to achieve optimum transient response. This paper focus its attention on the choosing and analysis of weighting matrix for optimum pole assignment. Optimum pole assignment is defined for linear time-invariant continuous systems.

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Consistency Check of a House of Quality Chart by Limiting Probability Concept and Median Rank (극한확률의 개념과 Median Rank를 이용한 HOQ 도표의 일관성 검정)

  • Won, Yu-Woong;Kim, Ki-Young;Yun, Deok-Kyun
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.33 no.3
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    • pp.22-29
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    • 2010
  • Six sigma has been the most influential management innovation tool in order to achieve the customer's satisfaction and keep the competition in the age of limitless competition. The success in six sigma is to find the correct CTQ (Critical to Quality). QFD (Quality function deployment) is the efficient too ever created to tie product and service design decisions directly to customer wants and needs. One of the mistakes in QFD is to analyze using an inconsistent HOQ (House of quality) chart. An inconsistent HOQ chart is one in which the information from the correlation matrix is inconsistent with that from the relationship matrix. This study presents the consistency check and inconsistency check in case of failing the consistency check. Also we propose the procedures using the Limiting Probability in correlation matrix and the Median Rank in relationship matrix in order to be consistent in HOQ chart.

Reheating Process of Metal Matrix Composite for Thixoforming (Thixoforming을 위한 금속복합재료의 재가열 공정)

  • 안성수;강충길;조형호
    • Composites Research
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    • v.13 no.4
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    • pp.19-32
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    • 2000
  • The fabrication process of particulate metal matrix composites(PMMCs) with homogeneous distribution of reinforcement and reheating for thixoforming has been studied. Both of eletro-magnetic stirring and mechanical stirring were used to fabricate particulate metal matrix composites(PMMCs) for variation of particle size. The electrical and mechanical processing conditions for fabricating PMMCs are also suggested. For thixoforming of PMMCs, fabricated bi1lets are reheated by using the designed optimal coil with as function of length between PMMC billet and coil surface, and coil diameter and billet. The effect of reinforcement distribution according to variation of billet temperature were investigated with solid fraction theory with a function of matrix alloy and volume fraction of reinforcement.

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Digital Redesign using the Discrete Grammian Method (연속제어기의 GSHF(Generalized Sampled-data Hold Function)을 이용한 디지탈 재설계시의 이산적 GRAMMIAN 행렬의 사용)

  • Chung, Chi-B.;Chung, Tae-S.;Yang, Won-Y.
    • Proceedings of the KIEE Conference
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    • 1993.07a
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    • pp.306-309
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    • 1993
  • Digital redesign techniques are to derive a digital controller fred the existing continuous controller and its plant so that the performance of the digitally controlled system is matched as closely as possible to that of the original continuous system at the sampling instants. Recently a new digital redesign technique, was developed to use the generalized sampled-data hold function(GSHF) based on the the grammian matrix. With this new technique the digitally redesigned system showed several good features compared with any existing technique in terms of the state match at the sampling instants, the large sampling period, and the transient reponses. This paper concerns a further improvement of the new digital redesign technique by employing the discrete grammian matrix instead of the continuous grammian matrix in defining GSHF. With this modification, it was observed by simulation that the transient response of the modified digital system shows far better performance than the digital system based on the continuous grammian matrix.

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Design of a reduced-order $H_{\infty}$ controller using an LMI method (LMI를 이용한 축소차수 $H_{\infty}$ 제어기 설계)

  • Kim, Seog-Joo;Chung, Soon-Hyun;Cheon, Jong-Min;Kim, Chun-Kyung;Lee, Jong-Moo;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.729-731
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    • 2004
  • This paper deals with the design of a low order $H_{\infty}$ controller by using an iterative linear matrix inequality (LMI) method. The low order $H_{\infty}$ controller is represented in terms of LMIs with a rank condition. To solve the non-convex rank-constrained LMI problem, a linear penalty function is incorporated into the objective function so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Numerical experiments show the effectiveness of the proposed algorithm.

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A Selection Method for Capital Budgeting Projects with Quality Function Deployment (품질기능전개를 이용한 자본예산투자프로젝트 선정방법)

  • 우태희
    • Journal of the Korea Safety Management & Science
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    • v.2 no.4
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    • pp.125-138
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    • 2000
  • The purpose of this paper is to describe a new analytic method of capital budgeting projects that takes into account both customer wants and competitor's status and to give decision makers a tool for goal setting and planning for technology. This model, which is based on quality function deployment(QFD), has used the analytic hierarchy process(AHP) to determine the intensity of the relationship between the variables involved in each matrix of the model and the 0-1 integer programming to determine the allocation of funds to various technological projects. This paper also proposes how to calculate the new weight of columns to consider various strength levels of roof matrix, representing the correlation among the quality characteristics, using Lyman's normalization procedure. To compare this model with Partovi's model, I adapt the same example which is suggested by Partovi and I show that the value of object function, has maximization problem, in this model is larger than that in Partovi's model.

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New Global Curve-Fitting Method Using Frequency Response Function (주파수 전달함수를 이용한 신 포괄 곡선맞춤법)

  • Min, Cheon-Hong;Park, Han-Il;Bae, Soo-Ryong;Jeon, Jae-Jin
    • Journal of Ocean Engineering and Technology
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    • v.23 no.6
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    • pp.82-86
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    • 2009
  • Several damping materials have been employed to reduce the vibration of structures. While it is important to estimate the damping matrix when analyzing damped composite structures using the finite element method (FEM), at present, there is no FEM program that can correctly estimate the damping matrix. In this paper, a new global curve-fitting method is proposed for identifying the system parameters of non-proportional damping structures using a frequency response function. An experimental test for a cantilever beam attached damping material was carried out to verify the performance of the method proposed in this study.

Design of a Static Output Feedback Stabilization Controller by Solving a Rank-constrained LMI Problem (선형행렬부등식을 이용한 정적출력궤환 제어기 설계)

  • Kim Seogj-Joo;Kwon Soonman;Kim Chung-Kyung;Moon Young-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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    • pp.747-752
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    • 2004
  • This paper presents an iterative linear matrix inequality (LMI) approach to the design of a static output feedback (SOF) stabilization controller. A linear penalty function is incorporated into the objective function for the non-convex rank constraint so that minimizing the penalized objective function subject to LMIs amounts to a convex optimization problem. Hence, the overall procedure results in solving a series of semidefinite programs (SDPs). With an increasing sequence of the penalty parameter, the solution of the penalized optimization problem moves towards the feasible region of the original non-convex problem. The proposed algorithm is, therefore, convergent. Extensive numerical experiments are Deformed to illustrate the proposed algorithm.

Procedure for improving dynamic operability of chemical processes

  • Kwon, Youngwoon;Chang, Tae-Suk;Yoon, En-Sup
    • 제어로봇시스템학회:학술대회논문집
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    • 1995.10a
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    • pp.332-335
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    • 1995
  • A simple and effective method for improving Euclidean norm condition number for chemical processing system is presented. The singular value sensitivities of Freudenberg et al. (1982) is used to estimate the behavior of singular values of process transfer function matrix when design parameter is changed, then the condition number can be calculated straightforwardly. The method requires explicit dependencies of each transfer function matrix elements on design parameters. These dependencies can be obtained either by symbolic differentiation in the form of explicit function of design parameters, or by numerical perturbation studies for units with large and complicated models. Gerschgorin-type lower bound for minimum singular value is introduced to detect the large divergencies near singular point due to linearity of sensitivities. The case studies are performed to show the efficiency of the proposed method.

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A TYPE OF MODIFIED BFGS ALGORITHM WITH ANY RANK DEFECTS AND THE LOCAL Q-SUPERLINEAR CONVERGENCE PROPERTIES

  • Ge Ren-Dong;Xia Zun-Quan;Qiang Guo
    • Journal of applied mathematics & informatics
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    • v.22 no.1_2
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    • pp.193-208
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    • 2006
  • A modified BFGS algorithm for solving the unconstrained optimization, whose Hessian matrix at the minimum point of the convex function is of rank defects, is presented in this paper. The main idea of the algorithm is first to add a modified term to the convex function for obtain an equivalent model, then simply the model to get the modified BFGS algorithm. The superlinear convergence property of the algorithm is proved in this paper. To compared with the Tensor algorithms presented by R. B. Schnabel (seing [4],[5]), this method is more efficient for solving singular unconstrained optimization in computing amount and complication.