• Title/Summary/Keyword: represented matrix

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A Study on Dynamic Behavior of Cantilever Pipe Conveying Fluid with Crack and Moving mass (II)-Focused on the Frequency Change- (크랙과 이동질량을 가진 유체유동 외팔 파이프의 동특성에 관한 연구(II)-진동수 변화를 중심으로-)

  • Son, In-Soo;Yoon, Han-Ik
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.14 no.12
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    • pp.1304-1313
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    • 2004
  • In this paper a dynamic behavior of a cracked cantilever pipe conveying fluid with the moving mass is presented. It has the results focused on the frequency change. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations. When the velocity of the moving mass is constant, the influences of the crack severity, the position of the crack, the moving mass, and the coupling of these factors on the frequencies of the cantilever pipe are depicted.

Consensus-Based Formation Tracking of Fuzzy Multi-Agent Systems (이산시간 퍼지 다개체 시스템의 상태일치 기반 대형 추종 제어기)

  • Moon, Ji Hyun;Jee, Sung Chul;Lee, Ho Jae
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.8
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    • pp.1080-1084
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    • 2014
  • This paper addresses a design technique for formation tracking controllers of discrete-time Takagi-Sugeno fuzzy multi-agent systems based on consensus. The interconnection topology among the agents is expressed as a digraph. The design condition is represented in terms of linear matrix inequalities. Numerical example demonstrates the effectiveness of the proposed method.

Simultaneous Stabilization Via Static Ouput Feedback Using an LMI Method (LMI를 이용한 정적출력궤환 동시안정화 제어기 설계)

  • Cheon, Jong-Min;Lee, Jong-Moo;Kwon, Soon-Man;Moon, Young-Hyun;Kim, Seog-Joo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.55 no.5
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    • pp.226-228
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    • 2006
  • This paper deals with a linear matrix inequality (LMI) approach to the design of a static output feedback controller that simultaneously stabilizes a finite collection of linear time-invariant plants. Simultaneous stabilization by static ouput feedback is represented in terms of LMIs with a rank condition. An iterative penalty method is proposed to solve the rank-constrained LMI problem. Numerical experiments show the effectiveness of the proposed algorithm.

Multirate Digital Control for Fuzzy Systems: LMI-Based Design and Stability Analysis

  • Kim Do-Wan;Park Jin-Bae;Joo Young-Hoon;Kim Sung-Ho
    • International Journal of Control, Automation, and Systems
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    • v.4 no.4
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    • pp.506-515
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    • 2006
  • This paper studies an intelligent digital control for nonlinear systems with multirate sampling. It is worth noting that the multirate control design is addressed for a given nonlinear system represented by Takagi-Sugeno (T-S) fuzzy models. The main features of the proposed method are that i) it is provided that the sufficient conditions for stabilization of the discrete-time T-S fuzzy system in the sense of Lyapunov stability criterion, which is can be formulated in the linear matrix inequalities (LMIs); and ii) the stability properties of the trivial solution of the digital control system can be deduced from that of the solution of its discretized versions. An example is provided for showing the feasibility of the proposed method.

Robust Discrete-Time Observer Design (강인한 이산관측기 설계)

  • 허건수;김상진
    • Journal of the Korean Society for Precision Engineering
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    • v.15 no.4
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    • pp.134-140
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    • 1998
  • The authors have shown that the performance of discrete-time observer-based monitoring systems can be represented by the performance index k$_2$(P) (condition number of the eigensystem P of the observer matrix in terms of L$_2$ norm). The observers with the minimized performance index can be defined as robust observers in the sense that the observer performance can be guaranteed in harsh environments. In this paper, based on the performance index, a design methodology for the robust discrete-time observer is developed. Similar to the continuous-time case, the methodology determines the structure and eigenvalues of the observer matrix simultaneously. A complete design procedure is given for single-output case and is illustrated with a spindle-driver example. The simulation results demonstrate the improved performance compared with a traditional pole-placement observer technique.

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Controller Design for Discrete-Time Affine T-S Fuzzy System with Parametric Uncertainties (파라미터 불확실성을 갖는 이산시간 어핀 T-S 퍼지 시스템의 제어기 설계)

  • Lee, Sang-In;Park, Jin-Bae;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.07d
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    • pp.2516-2518
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    • 2004
  • This paper proposes a stability condition in discrete-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties and then, introduces the design method of a fuzzy-model-based controller which guarantees the stability. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of linear matrix inequalities (LMIs).

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H Sampled-Data Control of LPV Systems with Time-varying Delay (시변지연을 가지는 LPV시스템의 H 샘플데이타 제어)

  • Liu, Yajuan;Lee, Sangmoon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.1
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    • pp.121-127
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    • 2015
  • This paper considers the problem of sampled-data control for continuous linear parameter varying (LPV) systems. It is assumed that the sampling periods are arbitrarily varying but bounded. Based on the input delay approach, the sampled-data control LPV system is transformed into a continuous time-delay LPV system. Some less conservative stabilization results represented by LMI (Linear Matrix Inequality) are obtained by using the Lyapunov-Krasovskii functional method and the reciprocally combination approach. The proposed method for the designed gain matrix should guarantee asymptotic stability and a specified level of performance on the closed-loop hybrid system. Numerical examples are presented to demonstrate the effectiveness and the improvement of the proposed method.

Fabrication of SiC/SiC Composites by Reaction Sintering Process (반응소결법에 의한 SiC/SiC 복합재료의 제조)

  • Lee, S.P.;Yoon, H.K.;Kohyama, A.
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.27-31
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    • 2001
  • Hi-Nicalon SiC fiber reinforced SiC composites (SiC/SiC) have been fabricated by the reaction sintering process. Braided Hi-Nicalon SiC fiber with double interphases of BN and SiC was used in this composite system. The microstructures and the mechanical properties of reaction sintered SiC/SiC composites were investigated through means of electron microscopies (SEM, TEM, EDS) and bending tests. The matrix morphology of reaction sintered SiC/SiC composites was composed of the SiC phases that the composition of the silicon and the carbon is different. The TEM analysis showed that the residual silicon and the unreacted carbon were finely distributed in the matrix region of reaction sintered SiC/SiC composites. Reaction sintered SiC/SiC composites also represented proper flexural strength and fracture energy, accompanying the noncatastrophic failure behavior.

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Influence of Tip mass on Dynamic Behavior of Cracked Cantilever Pipe Conveying Fluid with Moving Mass

  • Yoon Han-Ik;Son In-Soo
    • Journal of Mechanical Science and Technology
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    • v.19 no.9
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    • pp.1731-1741
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    • 2005
  • In this paper, we studied about the effect of the open crack and a tip mass on the dynamic behavior of a cantilever pipe conveying fluid with a moving mass. The equation of motion is derived by using Lagrange's equation and analyzed by numerical method. The cantilever pipe is modelled by the Euler-Bernoulli beam theory. The crack section is represented by a local flexibility matrix connecting two undamaged pipe segments. The influences of the crack, the moving mass, the tip mass and its moment of inertia, the velocity of fluid, and the coupling of these factors on the vibration mode, the frequency, and the tip-displacement of the cantilever pipe are analytically clarified.

Manipulability Analysis of the Casing Oscillator (케이싱 오실레이터의 조작성 해석)

  • 남윤주;이육형;박명관
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2003.06a
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    • pp.1693-1696
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    • 2003
  • In this paper, input-output velocity transmission characteristics of the Casing Oscillator, which is a constructional machine with 4 degree of freedom are examined. After the Jacobian matrix is decomposed into linear part and angular part, the linear and the angular velocity transmission characteristics are analyzed and visualized in easy way even in the case of 3 dimensional task space with 4 variables. Regarding the measure of dexterity of the Casing Oscillator, the kinematic isotropic index and the manipulability measures which are respectively represented the isotropy and the volume of the manipulability ellipsoid are combined. A performance of the Casing Oscillator is evaluated by the combined manipulability measure.

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