• Title/Summary/Keyword: theory of constraints

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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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Multiple Constrained Optimal Experimental Design

  • Jahng, Myung-Wook;Kim, Young Il
    • Communications for Statistical Applications and Methods
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    • v.9 no.3
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    • pp.619-627
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    • 2002
  • It is unpractical for the optimal design theory based on the given model and assumption to be applied to the real-world experimentation. Particularly, when the experimenter feels it necessary to consider multiple objectives in experimentation, its modified version of optimality criteria is indeed desired. The constrained optimal design is one of many methods developed in this context. But when the number of constraints exceeds two, there always exists a problem in specifying the lower limit for the efficiencies of the constraints because the “infeasible solution” issue arises very quickly. In this paper, we developed a sequential approach to tackle this problem assuming that all the constraints can be ranked in terms of importance. This approach has been applied to the polynomial regression model.

Direct Nonparametric Estimation of State Price Density with Regularized Mixture

  • Jeon, Yong-Ho
    • The Korean Journal of Applied Statistics
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    • v.24 no.4
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    • pp.721-733
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    • 2011
  • We consider the state price densities that are implicit in financial asset prices. In the pricing of an option, the state price density is proportional to the second derivative of the option pricing function and this relationship together with no arbitrage principle imposes restrictions on the pricing function such as monotonicity and convexity. Since the state price density is a proper density function and most of the shape constraints are caused by this, we propose to estimate the state price density directly by specifying candidate densities in a flexible nonparametric way and applying methods of regularization under extra constraints. The problem is easy to solve and the resulting state price density estimates satisfy all the restrictions required by economic theory.

WDF-Based Derivation of LBR Constraints (WDF를 기반으로한 무손실 유계실수 제어 조건들의 유도)

  • 임일택;이병기
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.1
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    • pp.1-10
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    • 1994
  • Among the various methods of realizing low sensitivity digital filters. LBR two-pair cascading is one which enables us to realize low sensitivity filter without referring to any analog prototype filters. In this paper we analyze the LBR cascade structures through the fundamental approach to them based on the WDF theory, and interpret their features described solely in the digital domain in relation to the corresponding analog circuit Besides, we derive in a unified manner various LBR constraints needed for the LBR cascade realization, point out the insufficiency lurking in the existing description of the Type 3 LBR constraints, complement it, and make the LBR two-pair cascading procedure complete.

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A Detailed Design for DBR Based APS System (DBR 기반의 APS 시스템 상세 설계)

  • Choi, Jeong-Gil;Kim, Su-Jin;Ju, Jeong-Min;Chung, Sun-Wha;Chung, Nam-Kee
    • IE interfaces
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    • v.14 no.4
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    • pp.348-355
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    • 2001
  • This paper suggests a detailed design of APS(Advanced Planning & Scheduling) system using the DBR (Drum-Buffer-Rope) which is a finite capacity scheduling logic of TOC(Theory of Constraints). Our design is composed of four modules; Network, Buffer, Drum and Subordination. The Network module defines the Product Network which is built from BOM and routings. The Buffer module inserts the Buffers into the Product Network. The Drum module describes detail procedures to create Drum Schedule on the CCR(Capacity Constraint Resource). The Subordination module synchronizes all non-constraints to the constraints by determining the length of Rope. This design documented by ARIS.

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A Linearized Transmission Model Based Market Equilibrium In Locational Pricing Environments

  • Joung, Man-Ho;Kim, Jin-Ho
    • Journal of Electrical Engineering and Technology
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    • v.2 no.4
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    • pp.494-499
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    • 2007
  • In this paper, we have investigated how transmission network constraints can be modeled in an electricity market equilibrium model. Under Cournot competition assumption, a game model is set up considering transmission line capacity constraints. Based on locational marginal pricing principle, market clearing is formulated as a total consumers# benefit maximization problem, and then converted to a conventional optimal power flow (OPF) formulation with a linearized transmission model. Using market clearing formulation, best response analysis is formulated and, finally, Nash equilibrium is formulated. In order for illustration, a numerical study for a four node system with two generating firms and two loads are presented.

Stream Function Wave Theory에 관한 고찰

  • 여운광;편종근
    • Proceedings of the Korea Water Resources Association Conference
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    • 1983.07a
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    • pp.78-79
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    • 1983
  • It is well known that small amplitude wave theory, a first approximation to the complete theoretical description of wave behavior, yields a maximum investment in mathematical endeavor. But, if the wave amplitude is large, the small amplitude considerations are not valid, and finite amplitude wave theory which retains higher-order terms to obtain an accurate representation of the wave motion is numercal theory. The Stream function wave theory, one of the numerical methods, was developed by Dean for use with asymmetric measured wave profiles and with symmetric theoretical wave profiles. Dalrymple later improved the comjputational procedure by adding two Lagrangian constraints so that more efficient convergence of the iterative numerical method to a specified wave heigh and to a zero mean free surface displacement resulted. This paper introduces in details the Dean and Darlymple Stream Function Method in case of the symmetric theoretical wave, because in design purposes, wave height and wave period are given.

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Syllable Contact and Correspondence in Correspondence Theory

  • Shin, Seung-Hoon
    • Proceedings of the KSPS conference
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    • 1996.10a
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    • pp.176-181
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    • 1996
  • This paper investigates patterns of manner assimilation in Toba Batak, Sanskrit, Ponapean and Korean. Based on cross-linguistic patterns of manner assimilation, I develop the constraint, Syllable Contact (SyllCon), as a type of a markedness constraint in Correspondence Theory. With the establishment of high-ranking SyllCon, I argue that several patterns of manner assimilation result from the interaction of high-ranking SyllCon and correspondence constraints such as Ident[sonorant].

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교통망 평형리론을 응용한 결합 모형의 개발

  • 전경수
    • Journal of Korean Society of Transportation
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    • v.7 no.2
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    • pp.45-52
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    • 1989
  • The network equilibrium theory is to estimate the travel choices on a transportation network when the resulting travel times and costs are one basis for the choices. Increasing use of this principle on travel assignment problem lead to develop the combined choice models including not only travel options such as mode and route, but location options like trip distribution problems. This paper, first, reviews earlier developments of variable demand network equilibrium models, combined modeles of trip distribution and assignment, and entropy constrained combined models. Then various model structures of combining travel choice models based on network equilibrium theory and entropy constraints are discussed.

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Structural Vibration Control with $H_{\infty}$ Control Algorithm ($H_{\infty}$제어알고리즘을 이용한 구조물의 진동제어)

  • 고현무
    • Proceedings of the Earthquake Engineering Society of Korea Conference
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    • 1998.10a
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    • pp.93-99
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    • 1998
  • Mathematical model can be obtained by physical law or engineering theory. However it is always incomplete expression of the real system. In active controls to suppress vibration due to earthquake or wind load, modeling errors can often cause the problems of instability and performance degradation. In this paper, robust optimal controller design method using H$\infty$ control theory is developed for the systems which have uncertain natural frequency and design constraints. Numerical results show that the proposed H$\infty$ controller can avoid the performance degradation due to several errors and has better performance than conventional LQR method.

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