• 제목/요약/키워드: Constraint Matrix

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4절기구를 가진 유연한 조작기의 기호적 모델링 (Symbolic modeling of a 4-bar link flexible manipulator)

  • 이재원;주해호
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.559-564
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    • 1993
  • Nonlinear equation of motion of the flexible manipulator are derived by the Lagrangian method in symbolic form to better understand the structure of the dynamic model. The resulting equations of motion have a structure which is useful to reduce the number of terms calculated, to check correctness, or to extend the model to high order. A manipulator with a flexible 4 bar link mechanism is a constrained system whose equations are sensitive to numerical integration error. This constrained system is solved using the null space matrix of the constraint Jacobian matrix. Singular value decomposition is a stable algorithm to find the null space matrix.

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ITERATIVE METHODS FOR LARGE-SCALE CONVEX QUADRATIC AND CONCAVE PROGRAMS

  • Oh, Se-Young
    • 대한수학회논문집
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    • 제9권3호
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    • pp.753-765
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    • 1994
  • The linearly constrained quadratic programming(QP) considered is : $$ min f(x) = c^T x + \frac{1}{2}x^T Hx $$ $$ (1) subject to A^T x \geq b,$$ where $c,x \in R^n, b \in R^m, H \in R^{n \times n)}$, symmetric, and $A \in R^{n \times n}$. If there are bounds on x, these are included in the matrix $A^T$. The Hessian matrix H may be positive definite or negative semi-difinite. For large problems H and the constraint matrix A are assumed to be sparse.

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공간 복합기구연쇄의 기구학 및 동역학 해석에 관한 연구 (A Study on the Kinematic and Dynamic Analyses of Spatial Complex Kinematic Chain)

  • 김창부;김효식
    • 대한기계학회논문집
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    • 제17권10호
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    • pp.2543-2554
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    • 1993
  • In this paper, the kinematic and dynamic analyses of spatial complex kinematic chain are studied. Through the new method both using the set of identification numbers and applying the DenavitHartenberg link representation method to the spatial complex kinematic chain, the kinematic configuration of the chain is represented. Some link in the part of closed chain being fictitiously cutted, the complex kinematic chain is transformed to the branched chain. The kinematic constraint equations are derived from the constraint conditions which the cutted sections of the link have to satisfy. And the joint variables being partitioned in the independent joint variables and the dependent joint variables, the dependent variables are calculated from the independent variables by using the Newton-Raphson iterative method and the pseudoinverse matrix. The equations of motion are derived under the independent joint variables by using the principle of virtual work. Algorithms for dynamic analysis are presented and simulations are done to verify accuracy and efficiency of the algorithms.

시간지연 퍼지 시스템의 보장비용 및 $H_{\infty}$ 필터링 (Guaranteed Cost and $H_{\infty}$ Filtering for Delayed Fuzzy Dynamic Systems)

  • 이갑래;조희수;박홍배
    • 전자공학회논문지SC
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    • 제40권2호
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    • pp.10-18
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    • 2003
  • 본 논문은 시간지연을 갖는 퍼지 시스템에 대한 보장 비용과 H/sub ∞/ 외란감쇄 성능을 갖는 퍼지 필터링 문제를 다룬다. 본 연구는 외란감쇄에 대한 확장 L₂ 노옴 제한조건과 LQ 비용함수의 성능 상한치 제한조건을 만족하는 필터링 설계 방법이다. Lyapunov 함수를 이용하여 필터의 존재성에 대한 충분조건을 유도하고 선형행렬부등식(LMI: linear matrix inequality)으로 나타낸다. 필터 설계는 LMI 해를 구함으로써 바로 구할 수 있다. 제안한 방법의 설계 과정을 설명하기 위한 시뮬레이션 예제를 또한 나타낸다.

트랙킹 액추에이터의 진동 억제를 위한 트랙킹 Gain-up 제어기 설계 (Design of a Tracking Gain-up Controller for the Vibration Suppression of Tracking Actuator)

  • 이문노;진경복
    • 한국소음진동공학회논문집
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    • 제23권4호
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    • pp.356-364
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    • 2013
  • This paper presents a tracking gain-up controller design method to control effectively the vibration of tracking actuator caused by external shocks and remaining velocity after seek control. A pole placement constraint is considered to assure a desired transient response against the vibration of tracking actuator. A loop gain-up constraint is introduced to hold the tracking gain-up loop gain and control bandwidth within allowable bounds. The pole placement constraint is expressed by a matrix inequality and the loop gain-up constraint is considered as an objective function so that genetic algorithm can be applied. Finally, a tracking gain-up controller is obtained by integrating a genetic algorithm with LMI design approach. The proposed tracking gain-up controller design method is applied to the track-following system of a DVD recording device and its effectiveness is evaluated through the experimental results.

조향 운동을 고려한 5-SS 멀티링크 현가장치의 근사 합성 (Approximate Synthesis of 5-SS Multi Link Suspension Systems for Steering Motion)

  • 김선평;심재경;안병의;이언구
    • 대한기계학회논문집A
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    • 제25권1호
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    • pp.32-38
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    • 2001
  • This paper presents an approximate synthesis of 5-SS multi link suspension for 2 D.O.F motions. In the proposed synthesis method, alteration curves of camber, toe, kingpin and caster angles are optimized during the bump rebound and the steering motions. And joint positions can be located within desired boundari es. Especially, steering motions are considered for control of kingpin offset and caster trail. Prescribed motions contain both wheel center positions and imaginary kingpin axes in the multi link type suspension. Constraint equations are formulated with di splacement matrix and velocity matrix using instantaneous screw axis.

단섬유 금속복합재료의 응력-변형률 히스테리시스 거동 해석 (Analysis of Stress-Strain Hysteresis Behavior in Metal Composites)

  • 김홍건
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 1997년도 추계학술대회 논문집
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    • pp.132-139
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    • 1997
  • The strengthening mechanism of short fiber or whisker reinforced metal matrix composites has been studied by a continuum mechanics treatment utilizing finite element analysis (FEM). To assess the tensile and compressive constitutive responses, a constraint-unconstraint comparative study based on stree-strain hysteresis loop has been performed. For analysis procedures, the aligned axisymmetric single fiber model and the stress grouping technique have been implemented to evaluate the domain-based field quantities. Results indicated that the development of significant triaxial stresses within the matrix both for the tensile and compressive loading, due to the constraint imposed by reinforcements, provides and important contribution to strengthening. It was also found that fiber stresses are not only sensitive to the fiber/fiber interaction effects but also substantially contribute to the composite strengthening both for the tensile and compressive loading.

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Decoupling Controller Design for H Performance Condition

  • Park, Tae-Dong;Choi, Goon-Ho;Cho, Yong-Seok;Park, Ki-Heon
    • Journal of Electrical Engineering and Technology
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    • 제6권6호
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    • pp.874-882
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    • 2011
  • The decoupling design for the one-degree-of-freedom controller system is treated within the $H_{\infty}$ framework. In the present study, we demonstrate that the $H_{\infty}$ performance problem in the decoupling design is reduced into interpolation problems on scalar functions. To guarantee the properness of decoupling controllers and the overall transfer matrix, the relative degree conditions on the interpolating scalar functions are derived. To find the interpolating functions with relative degree constraints, Nevanlinna-Pick algorithm with starting function constraint is utilized in the present study. An illustrative example is given to provide details regarding the solution.

분리행렬의 가중 내적 제한조건을 이용한 FDICA 알고리즘의 수렴속도 향상 (Improvement of convergence speed in FDICA algorithm with weighted inner product constraint of unmixing matrix)

  • 전성일;배건성
    • 말소리와 음성과학
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    • 제7권4호
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    • pp.17-25
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    • 2015
  • For blind source separation of convolutive mixtures, FDICA(Frequency Domain Independent Component Analysis) algorithms are generally used. Since FDICA algorithm such as Sawada FDICA, IVA(Independent Vector Analysis) works on the frequency bin basis with a natural gradient descent method, it takes much time to converge. In this paper, we propose a new method to improve convergence speed in FDICA algorithm. The proposed method reduces the number of iteration drastically in the process of natural gradient descent method by applying a weighted inner product constraint of unmixing matrix. Experimental results have shown that the proposed method achieved large improvement of convergence speed without degrading the separation performance of the baseline algorithms.

객체지향 데이터 모델을 이용한 다물체 동역학 해석 시스템 개발 (Development of a Multibody Dynamics Analysis System Using the Object-Oriented Data Model)

  • 박태원;송현석;서종휘;한형석;이재경
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1487-1490
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    • 2003
  • In this paper, the application of object-oriented Data Model to develop a multibody dynamic system, called O-DYN, is introduced. Mechanical components, such as bodies, joints, forces are modeled as objects which have data and method by using object-oriented modeling methodology. O-DYN, a dynamic analysis system, based on the object-oriented modeling concept is made in C++. One example is analyzed through the O-DYN, It is expected that the analysis program or individual module constructed in this paper would be useful for mechanical engineers in predicting the dynamic responses of multibody systems and developing an analysis program

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