• Title/Summary/Keyword: optimal condition

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Robust Optimal Bang-Bang Controller Using Lyapunov Robust Stability Condition (Lyapunov 강인 안정성 조건을 이용한 강인 최적 뱅뱅 제어기)

  • Park Young-Jin;Moon Seok-Jun;Park Youn-Sik;Lim Chae-Wook
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.5
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    • pp.411-418
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    • 2006
  • There are mainly two types of bang-bang controllers for nominal linear time-invariant (LTI) system. Optimal bang-bang controller is designed based on optimal control theory and suboptimal bang-bang controller is obtained by using Lyapunov stability condition. In this paper, the suboptimal bang-bang control method is extended to LTI system involving both control input saturation and structured real parameter uncertainties by using Lyapunov robust stability condition. Two robust optimal bang-bang controllers are derived by minimizing the time derivative of Lyapunov function subjected to the limit of control input. The one is developed based on the classical quadratic stability(QS), and the other is developed based on the affine quadratic stability(AQS). And characteristics of the two controllers are compared. Especially, bounds of parameter uncertainties which theoretically guarantee robust stability of the two controllers are compared quantitatively for 1DOF vibrating system. Moreover, the validity of robust optimal bang-bang controller based on the AQS is shown through numerical simulations for this system.

Determination of Optimal Process Condition for the Precision Blanking of Lend Frame (리드프레임 타발 공정의 최적 전단 조건의 선정)

  • Suh E. K.;Lim S. H.;Shim H. B.
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 2001.10a
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    • pp.71-74
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    • 2001
  • Using the Taguchi method, optimum process condition of lead frame blanking has been determined in the point of view of shape of blanked profile. As the main process parameters, clearance, strip holding pressure and bridge width are selected. According to the orthogonal array table, three levels of experiment have been carried out for each factors. The optimal blanking condition is analyzed with the SN ratio. It has been verified that the optimal process condition can be determined with a combination of basic blanking experiment and experiment design method. Both the effect of each factors and gain can be judged in the quantitative manners from the analysis of SN ratio.

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A Study on the Characteristics of the Precision Blanking of Lead Frame (II): Determination of Optimal Process Condition (리드 프레임 타발공정의 전단특성에 관한 연구(II) - 최적 전단 조건의 선정)

  • 서의권;임상헌;심현보
    • Transactions of Materials Processing
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    • v.11 no.2
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    • pp.132-137
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    • 2002
  • Using the Taguchi method, optimum process condition of lead frame blanking has been determined in the point of view of shape of blanked profile. As the main process parameters, clearance, strip holding pressure and bridge width are selected. According to the orthogonal array table, three levels of experiment have been carried out for each factor. The optimal blanking condition is analyzed with the SN ratio. It has been verified that the optimal Process condition can be determined with a combination of basic blanking experiment and experiment design method. Both the effect of each factor and gain can be judged in the quantitative manner from the analysis of SN ratio.

Optimal design of partially step-stress life testing for the series systems (부분적 단계충격 수명검사에 관한 직렬형 시스템의 최적 검사계획)

  • 박희창;이석훈
    • The Korean Journal of Applied Statistics
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    • v.8 no.2
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    • pp.121-132
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    • 1995
  • In this paper we consider optimal designs of partially step-stress life testing which is deviced for k-component series systems with the considerably long life time. Test items are first run simultaneously at use condition for a specified time, and the surviving items are then run at accelerated condition until a predetermined censoring time. The optimal criterion for the change time to accelerated condition is to minimized either the generalized asymptotic variance of maximum likelihood estimators of the hazard rates at use condition and the acceleration factors or the asymptotic variance of the maximum likelihood estimators of the acceleration factors.

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Optimal design of Partially Accelerated Life Testing for the Parallel Systems (병렬형 시스템의 부분적 가속수명검사를 위한 최적계획)

  • Park, Hee-Chang;Lee, Suk-Hoon
    • Journal of Korean Society for Quality Management
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    • v.24 no.4
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    • pp.14-28
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    • 1996
  • We consider optimal designs of partially accelerated life testing which is deviced for parallel systems with the considerably long life time. In partially step-stress life testing, test items are first run simultaneously at use condition for a specified time, and the surviving items are then run at accelerated condition until a predetermined censoring time. In partially constant-stress life testing, test items are run at either use or accelerated condition only until a specified censoring time. The optimal criterion for each test is to minimize either the generalized asymptotic variance of maximum likelihood(ML) estimators of the hazard rates at use condition and the acceleration factors or the asymptotic variance of the ML estimators of the acceleration factors.

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A Study on Optimal Design of Face Milling Cutter Geometry(II) -With Respect to Toll Life and Surface Roughness- (정면밀링커터의 최적설계에 대한 연구 (2) -공구수명 및 표면조도 중심으로-)

  • 김정현;김희술
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.18 no.9
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    • pp.2225-2233
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    • 1994
  • In order to improve the cutting ability of face mill, a model for optimal cutter shape was developed to minimize resultant cutting force by combing cutting force model and optimal technique. Wear test and surface roughness test for optimized and conventional cutter were performed. The new optimized cutter shows longer tool life of 2.29 times than conventional cutter in light cutting condition and 2.52 times in heavy cutting condition. The surface roughness of workpiece by optimized cutter is improved in heavy cutting condition, but deteriorated in light cutting condition in comparison with conventional cutter. The surface profiles of workpiece were analyzed by Fourier transformation. The distribution of cut lay left on workpiece by optimized cutter is more regular than that by the conventional cutter.

Thermal Characteristics Analysis of Pre-Treated Rayon Fibers for Preparing Activated Carbon Fibers (활성탄소섬유 제조시 전처리된 레이온 섬유의 열특성 분석)

  • Choi, Sang Seun;Lee, Soon Hong
    • Journal of the Korean Society of Safety
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    • v.29 no.4
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    • pp.61-72
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    • 2014
  • The aim of this study is to define the condition of optimal pre-treatment for preferable activated carbon fibers (ACFs), which are based on rayon fibers. This paper shows the ideal path of ACFs preparation process; implies that rayon fibers are pre-treated by various solvents with different times before the heating process. The pre-treated rayon fibers finally turned into desirable rayon fiber-based ACFs through optimal pre-treatment condition by heating processes. The thermal analysis method of pre-treated rayon fibers by thermo-gravimetry analyser (TGA) is an idealized tool, which analyzes the best thermal condition of pre-treatment process. Surface morphologies of resulting rayon fibers based ACFs were examined by scanning electron microscope(SEM). The results of TGA and SEM analyses show that the optimal pre-treatment condition for preparing ACFs was clearly defined, in terms of thermal stability and surface morphology.