• Title/Summary/Keyword: Quadratic Cost Function

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Design of Generalized Minimum Variance Controllers for Nonlinear Systems

  • Grimble Michael J.
    • International Journal of Control, Automation, and Systems
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    • v.4 no.3
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    • pp.281-292
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    • 2006
  • The design and implementation of Generalized Minimum Variance control laws for nonlinear multivariable systems that can include severe nonlinearities is considered. The quadratic cost index minimised involves dynamically weighted error and nonlinear control signal costing terms. The aim here is to show the controller obtained is simple to design and implement. The features of the control law are explored. The controller obtained includes an internal model of the process and in one form is a nonlinear version of the Smith Predictor.

A Study on the Space Size Analysis in the Multifamily Housing in aspect of management cost. -Focused on the Central Heating System using the diesel, kerosene- (공동주택 관리비용에 따른 적정공간규모 산정에 관한 연구 -경유, 등유를 사용하는 중앙집중난방방식을 중심으로 -)

  • 이강희;양재혁
    • Journal of the Korean housing association
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    • v.13 no.5
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    • pp.89-99
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    • 2002
  • The multifamily housing has various advantages in construction cost, land-use intensity. KRIHS(1997) recommended the proper scale of th multifamily housing as 800 households in constructability, 1,000 households in facility compactability, 500 households in social aspect. At the early planning stage of project, the size of the multiftmily housing has, until now, been maximizingly considered under the regulation on which has been emphasized at the building volume ratio, land area, etc., except for the expenditure during the maintenance stage. This paper aimed at providing the proper size of multifamily housing in aspect of area and household number with maintenance cost at the early stage of project. For these, it took 곧 average cost function which is made from the 3-rd quardratic form and analyzes the unit increasing rate of the average cost. It surveyed in nationwide focused on the central heating system using diesel and kerosene. The number of samples is 88 and items of management cost is 11. The results are as follows ; first, 3rd-order quadratic function is proper at explaining the cost variation, considering the multicollinearity and statistics. Second, the proper size of multifamily housing is recommended with 83,000 $m^2$ on management area, 820 or over the 2,630 household number in aspect of total management cost.

Economic Selection of Specification Limits for a Given Target Value (공정평균(工程平均)의 목표치(目標値)가 주어진 경우 규격한계(規格限界)의 경제적(經濟的) 선정(選定))

  • Riew, Moon-Charn
    • Journal of Korean Institute of Industrial Engineers
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    • v.15 no.2
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    • pp.57-64
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    • 1989
  • An Economic selection of specification limits is considered for a given target value in a complete inspection plan. Each item is inspected, and if it meets the specification, it is accepted. Items less than the lower specification limit are scrapped or sold at a reduced price, and those greater than the upper specification limit are reworked. Cost factors to be considered are economic loss caused by quality deviations, rework cost and scrapping cost. Methods for finding the optimal specification limits are given for the cases of piecewise linear loss function and quadratic loss function with illustrative examples.

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Mixture response surface methodology for improving the current operating condition (현재의 공정조건을 향상시키기 위한 혼합물 반응표면 방법론)

  • Lim, Yong-B.
    • Journal of Korean Society for Quality Management
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    • v.38 no.3
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    • pp.413-424
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    • 2010
  • Mixture experiments involve combining ingredients or components of a mixture and the response is a function of the proportions of ingredients which is independent of the total amount of a mixture. The purpose of the mixture experiments is to find the optimum blending at which responses such as the flavor and acceptability are maximized. We assume the quadratic or special cubic canonical polynomial model over the experimental region for a mixture since the current mixture is assumed to be located in the neighborhood of the optimal mixture. The cost of the mixture is proportional to the cost of the ingredients of the mixture and is the linear function of the proportions of the ingredients. In this paper, we propose mixture response surface methods to develop a mixture such that the cost is down more than ten percent as well as mean responses are as good as those from the current mixture. The proposed methods are illustrated with the well known the flare experimental data described by McLean and Anderson(1966).

A Study on Optimization of Crankshaft in Diesel Engine (디이젤 엔진의 크랭크축 최적설계에 관한 연구)

  • Cho, S.B.;Ahn, S.H.;Yoo, H.S.
    • Transactions of the Korean Society of Automotive Engineers
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    • v.3 no.5
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    • pp.10-16
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    • 1995
  • In this study, the optimum design is carried out upon the crankshaft of in-line 6-cylinder internal combustion diesel engine with the mechanical analysis for the layout design, which is standard calculation whose process contains quadratic curve fitting method and quasi newton method about cost function, design variables and constraint conditions, Without finite element analysis, this process in wich mechanical analysis is performed upon the most critical part in crankshaft gives necessary and satisfied output in layout design and saves time and cost in developing a new diesel engine. In this study, also, the 3-dimensional finite element method is used in confirming the standard calculation for the optimization of crankshaft and the shape optimization in crankweb is obtained.

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System model reduction by weighted component cost analysis

  • Kim, Jae-Hoon;Skelton, Robert-E.
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.524-529
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    • 1993
  • Component Cost Analysis considers any given system driven by a white noise process as an interconnection of different components, and assigns a metric called "component cost" to each component. These component costs measure the contribution of each component to a predefined quadratic cost function. One possible use of component costs is for model reduction by deleting those components that have the smallest component cost. The theory of Component Cost Analysis is extended to include finite-bandwidth colored noises. The results also apply when actuators have dynamics of their own. When the dynamics of this input are added to the plant, which is to be reduced by CCA, the algorithm for model reduction process will be called Weighted Component Cost Analysis (WCCA). Closed-form analytical expressions of component costs for continuous time case, are also derived for a mechanical system described by its modal data. This is very useful to compute the modal costs of very high order systems beyond Lyapunov solvable dimension. A numerical example for NASA's MINIMAST system is presented.presented.

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Multirate Sampled-Data Control System: Optimal Digital Redesign Approach (멀티레이트 샘플치 시스템: 최적 디지털 재설계 기법)

  • Kim, Do-Wan;Park, Jin-Bae;Jang, Kwon-Kyu;Joo, Young-Hoon
    • Proceedings of the KIEE Conference
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    • 2004.11c
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    • pp.708-710
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    • 2004
  • This paper studies a multirate sampled-data control for LTI systems by using the digital redesign (DR) method. In this note, to well tackle the problem associated with both the state matching and the stabilization, our nobel strategy is to minimize the linear quadratic cost function. The main features of the proposed method are that i) the delta-operator-based descretization method is applied to improve the state-matching performance in the fast sampling limit and/or the large input multiplicity; ii) the proposed multirate control scheme can improve the state-matching performance in the long sampling limit; iii) some sufficient conditions that guarantee the stability of the closed-loop discrete-time system and provide a guarantee cost for the cost function can be formulated in the LMIs format; and iv) an optimal sampled-data controller in the sense of minimizing the upper bound of the cost function is also given by means of an LMI optimization procedure.

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Cost effective optimal mix proportioning of high strength self compacting concrete using response surface methodology

  • Khan, Asaduzzaman;Do, Jeongyun;Kim, Dookie
    • Computers and Concrete
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    • v.17 no.5
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    • pp.629-638
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    • 2016
  • Optimization of the concrete mixture design is a process of search for a mixture for which the sum of the cost of the ingredients is the lowest, yet satisfying the required performance of concrete. In this study, a statistical model was carried out to model a cost effective optimal mix proportioning of high strength self-compacting concrete (HSSCC) using the Response Surface Methodology (RSM). The effect of five key mixture parameters such as water-binder ratio, cement content, fine aggregate percentage, fly ash content and superplasticizer content on the properties and performance of HSSCC like compressive strength, passing ability, segregation resistance and manufacturing cost were investigated. To demonstrate the responses of model in quadratic manner Central Composite Design (CCD) was chosen. The statistical model showed the adjusted correlation coefficient R2adj values were 92.55%, 93.49%, 92.33%, and 100% for each performance which establish the adequacy of the model. The optimum combination was determined to be $439.4kg/m^3$ cement content, 35.5% W/B ratio, 50.0% fine aggregate, $49.85kg/m^3$ fly ash, and $7.76kg/m^3$ superplasticizer within the interest region using desirability function. Finally, it is concluded that multiobjective optimization method based on desirability function of the proposed response model offers an efficient approach regarding the HSSCC mixture optimization.

Nonfragile Guaranteed Cost Controller Design for Uncertain Large-Scale Systems (섭동을 갖는 대규모 시스템의 비약성 성능보장 제어기 설계)

  • Park, Ju-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.11
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    • pp.503-509
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    • 2002
  • In this paper, the robust non-fragile guaranteed cost control problem is studied for a class of linear large-scale systems with uncertainties and a given quadratic cost functions. The uncertainty in the system is assumed to be norm-bounded and time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounded controller gain variations. The problem is to design a state feedback control laws such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties and controller gain variations. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the robust non-fragile guaranteed cost controllers is given in terms of the feasible solutions to a certain LMI. A numerical example is given to illustrate the proposed method.

On Guaranteed Cost Control of Uncertain Neutral Systems (섭동을 갖는 뉴트럴 시스템의 성능보장 안정화에 관하여)

  • Park, Ju-Hyun
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.52 no.3
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    • pp.129-133
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    • 2003
  • In this paper, we consider the robust guaranteed cost control problem for a class of uncertain neutral systems with given quadratic cost functions. The uncertainty is assumed to be norm-bounded and time-varying. The goal in this study is to design the memoryless state feedback controller such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound lot all admissible uncertainty. Some criteria for the existence of such controllers are derived based on the matrix inequality approach combined with the Lyapunov second method. A parameterized characterization of the robust guaranteed cost controllers is given in terms of the feasible solutions to the certain matrix inequalities. A numerical example is given to illustrate the proposed method.