• Title/Summary/Keyword: Additional Constraints

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Conformational Study of Hydroxy Protons in $G_{A1}$ by NMR Spectroscopy

  • Lee, Kyungik;Kim, Yangmee
    • Proceedings of the Korean Biophysical Society Conference
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    • 1996.07a
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    • pp.16-16
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    • 1996
  • Investigation of the structure of the gangliosides has proven to be very important in the understanding of their biological roles such as regulation of differentiation and growth of cells. Unexchanged hydroxyl protons and amide protons in ganglioside are protrude farther from the carbon backbone than the C-linked protons and provides nOe contacts with other protons which can provide additional distance constraints in structural determination. (omitted)

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Nonlinear section model for analysis of RC circular tower structures weakened by openings

  • Lechman, Marek;Stachurski, Andrzej
    • Structural Engineering and Mechanics
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    • v.20 no.2
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    • pp.161-172
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    • 2005
  • This paper presents the section model for analysis of RC circular tower structures based on nonlinear material laws. The governing equations for normal strains due to the bending moment and the normal force are derived in the case when openings are located symmetrically in respect to the bending direction. In this approach the additional reinforcement at openings is also taken into account. The mathematical model is expressed in the form of a set of nonlinear equations which are solved by means of the minimization of the sums of the second powers of the residuals. For minimization the BFGS quasi-Newton and/or Hooke-Jeeves local minimizers suitably modified are applied to take into account the box constraints on variables. The model is verified on the set of data encountered in engineering practice. The numerical examples illustrate the effects of the loading eccentricity and size of the opening on the strains and stresses in concrete and steel in the cross-sections under consideration. Calculated results indicate that the additional reinforcement at the openings increases the resistance capacity of the section by several percent.

Robust and Reliable H$\infty$ State-Feedback Control : A Linear Matrix Inequality Approach

  • Kim, Seong-Woo;Kim, Byung-Kook;Seo, Chang-Jun
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.1
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    • pp.31-39
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    • 2000
  • We present a robust and reliable H$\infty$ state-feedback controller design for linear uncertain systems, which have norm-bounded time-varying uncertainty in the state matrix, and their prespecified sets of actuators are susceptible to failure. These controllers should guarantee robust stability of the systems and H$\infty$ norm bound against parameter uncertainty and/or actuator failures. Based on the linear matrix inequality (LMI) approach, two state-feedback controller design methods are constructed by formulating to a set of LMIs corresponding to all failure cases or a single LMI that covers all failure cases, with an additional costraint. Effectiveness and geometrical property of these controllers are validated via several numerical examples. Furthermore, the proposed LMI frameworks can be applied to multiobjective problems with additional constraints.

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Hull Fairing by Modified Direct Curvature Manipulation Method (개선된 직접 곡률 조작법을 이용한 선형의 순정)

  • Yoon, Tae-Kyeong;Kim, Dong-Joon
    • Journal of Ocean Engineering and Technology
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    • v.13 no.4 s.35
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    • pp.169-173
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    • 1999
  • In this paper some modifications for Lu's inverse method of fairing process are presented. The object function is changed and additional constraints for hull curve foiling is proposed. The newly introduced minimizing object function is the sum of the distances between the two curve's positions at the same parameter values instead of the sum of the distances between two vertices. The new one is better to represent the physical meaning of the object function, the smaller differences between two curves. In ship hull fairing the end tangent of curve has to be fined in some cases, so the additional constraint is considered to preserve the direction of end tangent. The sample results are shown.

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Optimum Sensitivity of Objective Function Using Equality Constraint (등제한조건을 이용한 목적함수에 대한 최적민감도)

  • Shin Jung-Kyu;Lee Sang-Il;Park Gyung-Jin
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.12 s.243
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    • pp.1629-1637
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    • 2005
  • Optimum sensitivity analysis (OSA) is the process to find the sensitivity of optimum solution with respect to the parameter in the optimization problem. The prevalent OSA methods calculate the optimum sensitivity as a post-processing. In this research, a simple technique is proposed to obtain optimum sensitivity as a result of the original optimization problem, provided that the optimum sensitivity of objective function is required. The parameters are considered as additional design variables in the original optimization problem. And then, it is endowed with equality constraints to penalize the additional variables. When the optimization problem is solved, the optimum sensitivity of objective function is simultaneously obtained as Lagrange multiplier. Several mathematical and engineering examples are solved to show the applicability and efficiency of the method compared to other OSA ones.

Analysis on Kinematic Characteristics for a Translational 3-DOF Parallel Mechanism with Constrained Stewart Platform Structure (스튜워트 플랫폼 구조를 이용한 병진 3-자유도 병렬 메커니즘의 기구학 특성 분석)

  • 이석희;김희국;이병주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.525-529
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    • 2004
  • A novel translational 3-dof parallel mechanism is proposed and analyzed. The mechanism consists of three RRPS serial subchains and an additional passive 3-dof type serial subchain. Three RRPS serial subchains alone may form a structure of the 6-DOF Stewart Platform mechanism. However, in the proposed mechanism, an additional passive serial subchain acts as constraints to restrict the output motion of the mechanism in 3-DOF translational space. The closed form position solutions of the proposed mechanism and its first-order kinematic model are derived. Then its workspace size and kinematic characteristics are examined via kinematic isotropic index.

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Analysis on Kinematic Characteristics for a Spherical 3-DOF Parallel Mechanism with Constrained Stewart Platform Structure (스튜워트 플랫폼 구조를 이용한 구형 3-자유도 병렬 메커니즘의 기구학 특성 분석)

  • 이석희;김희국;이병주
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2004.10a
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    • pp.520-524
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    • 2004
  • In this work, a novel spherical 3-dof parallel mechanism is proposed and analyzed. The mechanism consists of three RRPS serial subchains and an additional passive 3-dof type serial subchain. Three RRPS serial subchains alone may form a structure of 6-DOF Stewart Platform mechanism. However, in the proposed mechanism, an additional passive serial subchain acts as constraints to restrict the output motion of the mechanism within 3-DOF spherical space. The closed form solutions of position analysis of the proposed mechanism and its first-order kinematic model are derived. Then its workspace size and kinematic characteristics are examined via kinematic isotropic index.

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Configuration Control of a Redundant Manipulator Optimizing Stiffness and Joint Torque

  • Jin, Jaehyun;Ahn, Sungho;Jung, Jaehoo;Yoon, Jisup
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.104.5-104
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    • 2002
  • In this paper, we focus on a configuration control method of a redundant manipulator. The configuration of a redundant manipulator has been determined by geometry constraints and additional conditions, such as obstacle avoidance and dexterity optimization. This paper also utilizes optimization, and the additional condition (or performance index) to be optimized is stiffness of the end-effector and joints' torque. Stiffness and torque may be a natural attribute to be controlled during working and those vary as manipulator configuration does. So the optimal configuration from the viewpoint of stiffness and joint torque is studied. If the servo control mechanism of the joints Is assumed to be a...

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Optimum Sensitivity of Objective Function using Equality Constraint (등제한조건을 이용한 목적함수에 대한 최적민감도)

  • Yi S.I.;Shin J.K.;Park G.J.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.464-469
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    • 2005
  • Optimum sensitivity analysis (OSA) is the process to find the sensitivity of optimum solution with respect to the parameter in the optimization problem. The prevalent OSA methods calculate the optimum sensitivity as a post-processing. In this research, a simple technique is proposed to obtain optimum sensitivity as a result of the original optimization problem, provided that the optimum sensitivity of objective function is required. The parameters are considered as additional design variables in the original optimization problem. And then, it is endowed with equality constraints to penalize the additional variables. When the optimization problem is solved, the optimum sensitivity of objective function is simultaneously obtained as Lagrange multiplier. Several mathematical and engineering examples are solved to show the applicability and efficiency of the method compared to other OSA ones.

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Array pattern synthesis using semidefinite programming and a bisection method

  • Lee, Jong-Ho;Choi, Jeongsik;Lee, Woong-Hee;Song, Jiho
    • ETRI Journal
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    • v.41 no.5
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    • pp.619-625
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    • 2019
  • In this paper, we propose an array pattern synthesis scheme using semidefinite programming (SDP) under array excitation power constraints. When an array pattern synthesis problem is formulated as an SDP problem, it is known that an additional rank-one constraint is generated inevitably and relaxed via semidefinite relaxation. If the solution to the relaxed SDP problem is not of rank one, then conventional SDP-based array pattern synthesis approaches fail to obtain optimal solutions because the additional rank-one constraint is not handled appropriately. To overcome this drawback, we adopted a bisection technique combined with a penalty function method. Numerical applications are presented to demonstrate the validity of the proposed scheme.