• Title/Summary/Keyword: 모드행렬

Search Result 166, Processing Time 0.028 seconds

Sliding Mode Observer for Uncertain Fuzzy System: An LMI Approach (LMI를 이용한 불확실한 퍼지 시스템의 슬라이딩 모드 관측기 설계)

  • Song Min-Guk;Ju Yeong-Hun;Park Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
    • /
    • 2006.05a
    • /
    • pp.159-163
    • /
    • 2006
  • 본 논문에서는 비선형 시스템의 슬라이딩 모드 관측기 설계에 대해서 논의한다. 제어 대상인 비선형 시스템을 모델링 하는데 있어서 Takagi-Sugeno(T-S) 퍼지 모델 기법을 이용하였고, 이 때 발생할 수 있는 모델 불확실성과 외란에 대해 그것의 최대 최소 범위를 안다고 가정하였다. 제안된 시스템의 LMI (Linear Matrix Inequality)를 기반으로 한 슬라이딩 모드 관측기 설계 방법에서는 관측기와 시스템의 차이를 슬라이딩 표면으로 설정한다. 안정한 슬라이딩 표면을 갖는 슬라이딩 관측기의 존재 가능성을 선형 행렬 부등식의 형태로 표현한다. 슬라이딩 모드 관측기 이득은 LMI 존재 조건의 해를 이용하여 구한다.

  • PDF

A Case Study on the Importance of Residual Compensation in FRF-based Substructure Synthesis (주파수 응답함수를 이용한 부분구조 합성법의 문제점에 관한 수치적 연구)

  • 김경호;박윤식
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
    • /
    • 2001.11a
    • /
    • pp.173-178
    • /
    • 2001
  • 부분구조 합성법(substructuring or substructure synthesis)은 부분구조(substructure)의 주파수 응답함수(FRFs, frequency response functions)를 이용하여 합성된 전체 구조물의 동특성(dynamic behavior)을 파악하는 기술로서 이에 관한 이론은 명확하며 간단하다. 즉, 역행렬 계산과 같은 기본적인 행렬연산으로 부분구조 합성을 수행한다. 그러나, 여러 가지 요인으로 인하여 계산된 합성 결과는 실제로 결합된 전체 구조물의 동특성과는 차이를 보인다. 현실적인 이유로 고려하지 못하는 회전자유도와 실험에서 수반되는 여러 가지 측정오차는 주요한 요인이며 이에 대한 연구 또한 많이 진행되었다. 본 연구에서는 이러한 요인 중, 상대적으로 덜 중요하게 평가된 모드자름 오차(modal truncation error)의 영향을 고려한다. 단순한 구조물에 대하여 모의실험을 수행함으로써, 모드자름 오차로 인하여 완전히 잘못된 합성 결과가 나을 수 있다는 것을 보인다. 측정된 FRE를 이용하여 이러한 오차를 보정(compensation)하는 소개하고 이를 대상 구조물에 적용하여 모드자름 오차의 영향을 상당히 줄일 수 있다는 것을 보인다. 복잡한(complicated) 구조물에 대하여 모드자름 오차의 영향을 줄이기 위해서 모든 FRFs를 보정하는 것은 어려우므로 현실적인 대안을 모색한다.

  • PDF

Vibration Analysis of 3-Dimensional Structure by using Mixed Method of Finite Element-Transfer Matrix (유한요소-전달행렬의 혼합물을 이용한 3차원 구조물의 진동해석)

  • 이동명
    • Transactions of the Korean Society of Machine Tool Engineers
    • /
    • v.10 no.1
    • /
    • pp.16-22
    • /
    • 2001
  • In this study for reduction degree of freedom of dynamic model, a mixed method to combined finite element method and transfer matrix method is presented. This offers the advantages of an automatic reduction in the size of the eigenvalues problem and of a straightforward means of dynamic substructuring. The analytical procedure in this method for dynamic analysis of 3-dimensional cantilevered box beam are described. the result of numerical example is shown to demonstate the efficiency and accuracy of this method. The result form this example agree well those obtained by ANSYS, By using this technique, the number of nodes required in the regular finite element method is reduced and therefore a smaller com-puter can be used.

  • PDF

Sliding Mode Observer for Fuzzy System: An LMI Approach (LMI를 이용한 퍼지 시스템의 슬라이딩 모드 관측기 설계)

  • Song Min-Kook;Joo Young-Hoon;Park Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
    • /
    • v.16 no.4
    • /
    • pp.506-511
    • /
    • 2006
  • This paper considers a method to design sliding mode observers for a class of uncertain systems using Linear Matrix Inequalities(LMI). In an LMI-based sliding mode observer design method for a class of uncertain systems the switching surface is set to be the difference between the observer and system output. In terms of LMIs, a necessary and sufficient condition is derived for the existence of a sliding-mode observer guaranteeing a stable sliding motion on the switching surface. The gain matrices of the sliding-mode observer are characterized using the solution of the LMI existence condition. The results are illustrated by an example.

Redundant Controls Allocation by a Modified Pseudo Inverse Redistribution Method (수정된 의사역행렬 재분배 기법을 이용한 여유 조종력 할당)

  • Jin, Jae-Hyun;Yoo, Chang-Sun;Ryu, Hyeok;Tahk, Min-Jea
    • Journal of the Korean Society for Aeronautical & Space Sciences
    • /
    • v.32 no.9
    • /
    • pp.65-71
    • /
    • 2004
  • Redundant control surfaces arc adopted to modern aircraft designs because of high performance and fault tolerant control, so efficient redundancy management is necessary to take advantage of redundant control surfaces. This paper focuses on the control allocation scheme as one of redundancy management methods. A modified pseudo inverse redistribution method is proposed. The existing method sets all saturated controls as their limit values when a pseudo inverse is calculated. But the modified scheme sets only one saturated control as its limit value and redistributes remaining controls. It is shown that the proposed scheme is superior to the existing method by several numerical examples.

Modal Analysis of a Building with Viscoelastic Dampers (점탄성 감쇠기를 설치한 건물의 모드해석)

  • 김진구;민경원
    • Computational Structural Engineering
    • /
    • v.11 no.1
    • /
    • pp.171-178
    • /
    • 1998
  • The added viscoelastic dampers increase damping and stiffness of buildings and results in so called non-classical or non-proportional damping problem. In this system the eigenvectors of the undamped system may not diagonalize the damping matrix, and the system is generally analyzed by converting the equation of motion into a 2n first order state-space form. As this approach is complex and time-consuming compared to the classically damped problem, the system is often analyzed by neglecting the off-diagonal terms in the damping matrix. In this paper the theoretical background of the approximate approach is studied, and the vibration characteristics of a three-story shear building with a viscoelastic damper are investigated using the exact and approximate method. It is found that the approximate method may produce good result when the additional damping is small, but as the damping increases the error also increase.

  • PDF

A Study on the Model Updating Procedures Using Modal Frequencies (모드 주파수를 이용한 모델 개선 과정에 대한 연구)

  • Jang, In-Sik
    • Journal of the Korean Society for Precision Engineering
    • /
    • v.27 no.2
    • /
    • pp.109-116
    • /
    • 2010
  • It is important to make a mechanical structure precisely and reasonably in predicting the dynamic characteristics, controlling the vibration, and designing the structure dynamics. In finite element analysis model updating is appropriate as the design parameter is used to analyze the dynamic system. The errors can be contained from the physical parameters and the element modeling. From the dynamic test, more precise dynamic characteristics can be obtained. In this paper, model updating algorithm is developed using frequency difference between experiment and calculation. Modal frequencies are obtained by experiment and finite element analysis for beams with various cross section and shapes which have added masses and holes in the middle. For plates with and without groove, experiment and analyses are carried out by applying free boundary conditions as well. Mass and stiffness matrices are updated by comparing test and analytical modal frequencies. The result shows that the updated frequencies become closer to the test frequencies in case that both matrices are updated. An improved analytical model is obtained by changing model parameters such that the discrepancy between test and finite element frequencies is minimized. For beam and plate models updating of mass and stiffness matrices can improve the dynamical behavior of the model by acting on the physical parameters such as masses and stiffness.

A study of the Snapping investigations of Seoul Southwest Baseball Dome (서울 서남권 돔 야구장의 Snapping 검토에 관한 연구)

  • Kim, Seung-Deog;Kim, Nam-Seok
    • Journal of Korean Association for Spatial Structures
    • /
    • v.10 no.4
    • /
    • pp.133-140
    • /
    • 2010
  • This paper studies on the instability behaviour of the Seoul southwest baseball dome. The nonlinear Snapping phenomenon of the structure is investigated about the load mode by the design load of analysis structure and these combined loads. The initial imperfection obtains the buckling mode through the eigenvalue analysis of the tangential stiffness matrix and uses this for the nonlinear analysis. However, the buckling of members or the local buckling, and etc don't consider in the research range of this research task. Also it is limited the overall buckling phenomenon.

  • PDF

Investigation on the Size and Center of Sweet Spot of Golf Club (골프클럽 안정타점영역의 크기와 중심에 관한 연구)

  • 이정윤;마정범;오재응
    • Transactions of the Korean Society of Mechanical Engineers
    • /
    • v.16 no.5
    • /
    • pp.992-998
    • /
    • 1992
  • This paper presents a method for dynamic analysis of golf club. In the analysis, the sweet spot of golf club is defined based on the magnitude of torsional vibration, and transfer matrix method is employed for numerical calculations. It is shown that the calculated natural frequencies, mode shapes and transfer function agree well with the experimental results.