• Title/Summary/Keyword: constraints condition

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Analysis of a Flexible Multi-body System with Over-constraints (여유구속을 갖는 유연체 기계시스템의 동역학 해석)

  • Seo, Jong-Hwi;Park, Tae-Won;Chae, Jang-Soo;Seo, Hyun-Seok
    • Proceedings of the KSME Conference
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    • 2003.04a
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    • pp.874-880
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    • 2003
  • Many mechanical systems are over-constrained if only rigid bodies are used to model the system. One example of such system is a satellite system with solar panels. To avoid this over-constrained problem, solar panels can be modeled as flexible bodies. The CMS(Component Mode Synthesis) method is widely used to analyze the flexible multi-body system because it can considerably approximate the deformation of the flexible bodies using small number of well-selected mode. However, it is very difficult to decide the boundary condition and the selection of modes. In this paper, the methods for mode synthesis and setting the boundary condition are presented to analyze the flexible multi-body system with over-constraints. Finally, the reliability of proposed method is verified by solar panel's deployment test.

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NECESSARY AND SUFFICIENT OPTIMALITY CONDITIONS FOR CONTROL SYSTEMS DESCRIBED BY INTEGRAL EQUATIONS WITH DELAY

  • Elangar, Gamal-N.;Mohammad a Kazemi;Kim, Hoon-Joo
    • Journal of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.625-643
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    • 2000
  • In this paper we formulate an optimal control problem governed by time-delay Volterra integral equations; the problem includes control constraints as well as terminal equality and inequality constraints on the terminal state variables. First, using a special type of state and control variations, we represent a relatively simple and self-contained method for deriving new necessary conditions in the form of Pontryagin minimum principle. We show that these results immediately yield classical Pontryagin necessary conditions for control processes governed by ordinary differential equations (with or without delay). Next, imposing suitable convexity conditions on the functions involved, we derive Mangasarian-type and Arrow-type sufficient optimality conditions.

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Design Of Air-Distribution System in a Duct (취출구를 가진 덕트의 공기분배장치 설계)

  • Kang, Hyung-Seon;Cho, Byung-Ki;Koh, Young-Ha
    • Journal of Advanced Marine Engineering and Technology
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    • v.31 no.8
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    • pp.954-960
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    • 2007
  • The purpose of this paper is to obtain design method of air-distribution system. Air-distribution system is composed of blower, duct, diffusers and measuring equipment. The air-flow rate from each diffuser is not equal. The air-flow rate is calculated with the combined equations which are Bernoulli's equation, continuity equation and minor loss equations. Inlet condition and outlet condition are adapted in each duct system. Then square difference between function of maximum air-flow rate and minimum air-flow rate is used as an object function. Area of diffuser and velocity are established as constraints. To minimize the object function, the optimization method is used. After optimization the design variables are selected under satisfaction of constraints. The air-distribution system is calculated again with the result of optimized design variable. It is shown that the air-distribution system has the equal air-flow rate from diffusers.

Appraisal of Building Energy Systems considering Environment Constraint Conditions

  • Park, Tong-So
    • Architectural research
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    • v.3 no.1
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    • pp.37-44
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    • 2001
  • This study aims to find out sector effects with the appraisal of building energy systems of urban ecosystem considering cost effects and environmental constraints condition such as climatic change factors including $CO_2$ gas which are not dealt in the institutional boundary as components standards and performance standards on energy performance of each part of a building applied on heavy energy spending buildings at present. The results of the appraisal of building energy systems shows that the existing building energy systems are not enough to fulfil the environmental condition under the environmental constraints supposing QELROs(Quantified Emission Limitation and Reduction Objectives) of carbon-dioxide exhaust. Henceforth, it is needed to fulfill the environmental criteria required by the Climatic Change Agreement for improving the adiabatic performance of each part of a building and active using of the solar energy.

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Design and Structural Analysis of Long Pull Weight Machine (롱풀 웨이트 기구의 설계 및 구조해석)

  • 이종선;홍석주
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2004.10a
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    • pp.73-77
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    • 2004
  • This study is object to design and structural analysis of Long Pull weight machine. Structural analysis of Long Pull weight machine using result from ANSYS code. This structural analysis results, many variables such as boundary condition, constraints and load condition were considered.

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Energy Optimization of a Biped Robot for Walking a Staircase Using Genetic Algorithms

  • Jeon, Kweon-Soo;Park, Jong-Hyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.215-219
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    • 2003
  • In this paper, we generate a trajectory minimized the energy gait of a biped robot for walking a staircase using genetic algorithms and apply to the computed torque controller for the stable dynamic biped locomotion. In the saggital plane, a 6 degree of freedom biped robot that model consists of seven links is used. In order to minimize the total energy efficiency, the Real-Coded Genetic Algorithm (RCGA) is used. Operators of genetic algorithms are composed of a reproduction, crossover and mutation. In order to approximate the walking gait, the each joint angle is defined as a 4-th order polynomial of which coefficients are chromosomes. Constraints are divided into equality and inequality. Firstly, equality constraints consist of position conditions at the end of stride period and each joint angle and angular velocity condition for periodic walking. On the other hand, inequality constraints include the knee joint conditions, the zero moment point conditions for the x-direction and the tip conditions of swing leg during the period of a stride for walking a staircase.

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Optimal Guaranteed Cost Control of Linear Uncertain Systems with Input Constraints

  • Yu Li;Han Qing-Long;Sun Ming-Xuan
    • International Journal of Control, Automation, and Systems
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    • v.3 no.3
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    • pp.397-402
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    • 2005
  • The guaranteed cost control problem for a class of linear systems with norm-bounded time-varying parameter uncertainties and input constraints is considered. A sufficient condition for the existence of guaranteed cost state feedback controllers is derived via the linear matrix inequality (LMI) approach, and a design procedure to guaranteed cost controllers is given. Furthermore, a convex optimization problem is formulated to determine the optimal guaranteed cost controller. An example is given to illustrate the effectiveness of the proposed results.

Design Characteristics of Permanent Magnet Linear Synchronous Motor for Short Reciprocating Trajectory

  • Jung, Sang-Yong
    • Journal of IKEEE
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    • v.11 no.1 s.20
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    • pp.46-53
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    • 2007
  • Design characteristics of PMLSM(Permanent Magnet Linear Synchronous Motor) considering the dynamic running condition under the limited input voltage and current for short reciprocating trajectory are presented. Particularly, the dynamic constraints resulted from the dynamic capability of PMLSM and the required motional performance of the repeated short stroke are applied to determine the design specification of PMLSM. In addition, optimal design flow based on the dynamic constraints is specified with the design parameters, such as coil resistances, the EMF constants, inductances, pole-pitch. Furthermore, proposed methods and results are validated by the experimental ones measured with the purpose-built prototype.

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Design of a Multiobjective Robust Controller for the Track-Following System of an Optical Disk Drive (광 디스크 드라이브의 트랙킹 서보 시스템을 위한 다목적 강인 제어기의 설계)

  • 이문노;문정호;정명진
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.592-599
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    • 1998
  • In this paper, we design a tracking controller which satisfies transient response specifications and maintains tracking error within a tolerable limit for the uncertain track-following system of an optical disk drive. To this end, a robust $H_{\infty}$ control problem with regional stability constraints and sinusoidal disturbance rejection is considered. The internal model principle is used for rejecting the sinusoidal disturbance caused by eccentric rotation of the disk. We show that a condition satisfying the regional stability constraints can be expressed in terms of a linear matrix inequality (LMI) using the Lyapunov theory and S-procedure. Finally, a tracking controller is obtained by solving an LMI optimization problem involving two linear matrix inequalities. The proposed controller design method is evaluated through an experiment.

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Review on The Proposed Offshore Wind Farm Projects Using National Wind Atlas and National Geographic Information (국가바람지도 및 국가지리정보에 의한 국내 해상풍력단지 개발계획의 비교분석)

  • Kim, Hyun-Goo;Hwang, Hyo-Jung
    • Journal of the Korean Solar Energy Society
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    • v.30 no.5
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    • pp.44-55
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    • 2010
  • The proposed offshore wind farm projects, i.e., Mooudo offshore, Yeonggwang-Gochang offshore, Saemangeum offshore, Imjado offshore and Gadeokdo-Dadeapo offshore, were compared and analyzed using the Korea National Wind Mapand Wind Farm Suitability Assessment System developed by the Korea Institute of Energy Research. The suitability of the proposed areas was comprehensively assessed using geographic, economic constraints, wave condition and wind resource factors, but the focus of this paper was on the geographic constraints and wave conditions. Imjado had several geographical constraints, despite having a good wind power density, while Saemangeum had a relatively low wave height, shallow water depth, close substation and slow tidal current. It is anticipating that the present comparison and analysis could be used as reference guidelines when selecting and preparing the design of large-scale offshore wind farm in the near future.