• 제목/요약/키워드: Optimal control period

검색결과 371건 처리시간 0.03초

Optimal Scheduling of Drug Treatment for HIV Infection;Continuous Dose Control and Receding Horizon Control

  • Shim, H.;Han, S.J.;Jeong, I.S.;Huh, Y.H.;Chung, C.C.;Nam, S.W.;Seo, J.H.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.1951-1956
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    • 2003
  • It is known that HIV (Human Immunodeficiency Virus) infection, which causes AIDS after some latent period, is a dynamic process that can be modeled mathematically. Effects of available anti-viral drugs, which prevent HIV from infecting healthy cells, can also be included in the model. In this paper we illustrate control theory can be applied to a model of HIV infection. In particular, the drug dose is regarded as control input and the goal is to excite an immune response so that the symptom of infected patient should not be developed into AIDS. Finite horizon optimal control is employed to obtain the optimal schedule of drug dose since the model is highly nonlinear and we want maximum performance for enhancing the immune response. From the simulation studies, we find that gradual reduction of drug dose is important for the optimality. We also demonstrate the obtained open-loop optimal control is vulnerable to parameter variation of the model and measurement noise. To overcome this difficulty, we finally present nonlinear receding horizon control to incorporate feedback in the drug treatment.

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Study of New Control Method for Linear Periodic System

  • Jo, Janghyen
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1999년도 제14차 학술회의논문집
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    • pp.83-87
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    • 1999
  • The purpose of this study is to provide the new method for selection of a close to optimal scalar control of linear time-periodic system. The case of scalar control is considered, the gain matrix being assumed to be at worst periodic with the system period T. The form of gain matrix may have various kinds but must have same period, for example, one of each element being represented by Fourier series. As the optimal gain matrix I consider the matrix ensuring the minimum value of the larger real part of the Poincare exponents of the system. Finally we present a pole placement algorithm to make the given system be stable. It is possible to determine the stability of the given periodic system without get the analytic solution. The application of the method does not require the construction of the Floquet solution. At present state of determination of the gain matrix for this case will be done only by systematic numerical search procedures.

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An Optimal Pricing and Inventory control for a Commodity with Price and Sales-period Dependent Demand Pattern

  • Sung, Chang-Sup;Yang, Kyung-Mi;Park, Sun-Hoo
    • 한국경영과학회:학술대회논문집
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    • 한국경영과학회/대한산업공학회 2005년도 춘계공동학술대회 발표논문
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    • pp.904-913
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    • 2005
  • This paper deals with an integrated problem of inventory control and dynamic pricing strategies for a commodity with price and sales-period dependent demand pattern, where a seller and customers have complete information of each other. The problem consists of two parts; one is each buyer's benefit problem which makes the best decision on price and time for buyer to purchase items, and the other one is a seller's profit problem which decides an optimal sales strategy concerned with inventory control and discount schedule. The seller's profit function consists of sales revenue and inventory holding cost functions. The two parts are closely related into each other with some related variables, so that any existing general solution methods can not be applied. Therefore, a simplified model with single seller and two customers in considered first, where demand for multiple units is allowed to each customer within a time limit. Therewith, the model is generalized for a n-customer-classes problem. To solve the proposed n-customer-set problem, a dynamic programming algorithm is derived. In the proposed dynamic programming algorithm, an intermediate profit function is used, which is computed in case of a fixed initial inventory level and then adjusted in searching for an optimal inventory level. This leads to an optimal sales strategy for a seller, which can derive an optimal decision on both an initial inventory level and a discount schedule, in $O(n^2)$ time. This result can be used for some extended problems with a small customer set and a short selling period, including sales strategy for department stores, Dutch auction for items with heavy holding cost, open tender of materials, quantity-limited sales, and cooperative buying in the on/off markets.

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OPTIMAL LIQUIDATION OF A LARGE BLOCK OF STOCK WITH REGIME SWITCHING

  • Shin, Dong-Hoon
    • 대한수학회보
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    • 제48권4호
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    • pp.737-757
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    • 2011
  • This work is concerned with an optimal selling rule for a large position of stock in a market. Selling a large block of stock in a short period typically depresses the market, which would result in a poor filling price. In addition, the large selling intensity makes the regime more likely to be poor state in the market. In this paper, regime switching and depressing terms associated with selling intensity are considered on a set of geometric Brownian models to capture movements of underlying asset. We also consider the liquidation strategy to sell much smaller number of shares in a long period. The goal is to maximize the overall return under state constraints. The corresponding value function with the selling strategy is shown to be a unique viscosity solution to the associated HJB equations. Optimal liquidation rules are characterized by a finite difference method. A numerical example is given to illustrate the result.

HIV 동역학과 최적 제어를 이용한 약물 치료에 관한 고찰 (A Study on Dong Scheduling Using HIV Dynamics and Optimal Control)

  • 허영희;고지현;김진영;남상원;심형보;정정주
    • 제어로봇시스템학회논문지
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    • 제10권6호
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    • pp.475-486
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    • 2004
  • The interaction of HIV and human immune system was studied in the perspective of dynamics. We summarized the recent researches on drug scheduling using optimal control theory for HIV treatment. The drug treatment to make immune system to work properly is investigated based on mathematical models including memory CTLp. In the simulation results, it was verified that stopping medication after a certain period of treatment can lead a patient to be cured naturally by one s immune system. Also, we summarized and categorized the advantages and disadvantages of each HIV drug scheduling method. In conclusion, model-based predictive control is more efficient for making decision of drug dose than other methods, when there exist uncertainties on model parameters or state variables.

지진응답제어를 위한 동조질량감쇠기의 최적설계지수(단단한 지반) (Optimal Parameter of Tuned Mass Damper for Controlling Seismic Response)

  • 이정우;우성식;이상현;정란
    • 한국콘크리트학회:학술대회논문집
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    • 한국콘크리트학회 2006년도 추계 학술발표회 논문집
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    • pp.97-100
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    • 2006
  • This study performed numerical analysis for obtaining optimal frequency and damping ratio of tuned mass damper (TMD) using 20 seismic loads measured at rock site. The structures of $1{\sim}2$ second natural period were considered, and optimal frequency and damping ratio were estimated for different mass ratio in terms of displacement and absolute acceleration response control. Numerical results showed that the values of the optimal parameters were different those from previous study by Hartog.

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에너지절감을 위한 물 재이용 펌프시스템의 최적운전 제어 (Optimal Operation Control for Energy Saving in Water Reuse Pumping System)

  • 부창진;김호찬
    • 한국산학기술학회논문지
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    • 제13권5호
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    • pp.2414-2419
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    • 2012
  • 본 논문에서는 물 재이용 펌프 시스템의 에너지 효율적 운전 방법을 제안한다. 1시간 단위의 시간대에서 최적운전제어를 위해 예측구간 스위칭방법과 선형계획법을 적용하고 에너지 비용은 경부하, 중부하, 그리고 최대부하를 포함한 TOU 요금과 피크요금을 통해 산정하도록 한다. 물 재이용 펌프시스템에서의 최적운전은 TOU 요금과 피크요금을 포함한 에너지 비용을 최대로 줄일 수 있도록 수행한다. 시뮬레이션을 통해 제안한 최적운전방법을 적용하면 많은 전력 에너지 비용의 절감과 전력계통의 안정성 향상을 확인할 수 있다.

신속교통신호제어를 위한 그 최적주기에 있어서의 외란의 영향 (Influence of Disturbances in Optimal Period Establishment for the Rapid Traffic Signal Control)

  • 양흥석;김호윤
    • 대한전자공학회논문지
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    • 제10권5호
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    • pp.16-20
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    • 1973
  • 많은 검지방식중 어떠한 방식에 의하든 간에 교통류에 관한 정보수집이 선행되어야하고, 그 다음에 정상주기방식이든 전술제어등 비정주기방식이든 간에 교통신호등의 신속제어시에 그 최적신호주기설정을 전제로 하고서 신호주기에 포함되어 있는 발진지연현상에 관하여 분석검토치 않으면 안된다. 선상에서 차의 속도별 및 앞뒤차간의 간격등으로 분포교통량의 개개가 일률적인 인자라 볼 수 없는 것은 사실이나 좀더 구체적으로 그 요인을 제어공학적 해석방법으로써 분석하여 이들을 각각 외란들로 간주하고 나아가 합성외란을 입력과 출력의 차인 오차로 간주했다. 외란은 시간의 함수이므로 첫째 환경조건으로써 도로의 상태 및 기후, 둘째 차량자체의 구조 및 성능으로부터 오는것, 세째 운전자(입간)의 정신적 신체적조건등으로 구분하여 검토하고 본논문은 기존환경조건을 최대로 활용하는 견지에서 첫째의 경우를 일정하다고 보고, 다만 차와 운전자에 대한것만 요인으로 취하였다. 안정화 대책으로써 오차요소별 최소화를 시도했으며, 그 결과 신원최적제어주기설정을 위한 방안이 구체적으로 제시되었고, 주로 외란의 요인을 제거하므로써 최적제어가 가능케됨을 입증해주고 있다.

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방울토마토 대일(對日) 적정수출시기(適正輸出時期)에 관한 연구(硏究) - 부여 방울 토마토를 중심으로 - (A Study on Optimal Period for Mini Tomato to be Exported to Japan - With Special Reference to Puyo Mini Tomato -)

  • 이동재;김철호
    • 농업과학연구
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    • 제24권2호
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    • pp.138-144
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    • 1997
  • Korean agricultural and rural economics has been gotten more difficult through the introduction of economics system under the control of IMF before problems from open market system under WTO get to be settled. Export should be promoted to get the advantage of open market system and to get over today's economic crisis from shortage of foreign currency. Fortunately, Korea adjoins Japan that is largest importing country of agricultural products in a world, therefore Korean Agricultural products has advantage in export to Japan through open market system. Puyo tomato, specialized agricultural products in Chungman province, has been exported 42.2M/T to Japan from 1994 year to 1996 year. But such exported amount was so small that is less than a 1% of total tomato product in Puyo area. Reasons why export volume to Japan was so small were non standard commodities, non performance of export contract, unfavorable price condition, etc.. But it was major reason that missed optimal exporting period. Therefore this study is aimed at finding optimal period exporting Puyo mini tomato to Japan. According to result of analysis based on monthly price and carried quality data of major tomato market between Korea and Japan, it has more comparative advantage that we export tomato during Period of Dec-Feb. rather than March-May which is currently major exporting period.

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Fuel-Optimal Altitude Maintenance of Low-Earth-Orbit Spacecrafts by Combined Direct/Indirect Optimization

  • Kim, Kyung-Ha;Park, Chandeok;Park, Sang-Young
    • Journal of Astronomy and Space Sciences
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    • 제32권4호
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    • pp.379-386
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    • 2015
  • This work presents fuel-optimal altitude maintenance of Low-Earth-Orbit (LEO) spacecrafts experiencing non-negligible air drag and J2 perturbation. A pseudospectral (direct) method is first applied to roughly estimate an optimal fuel consumption strategy, which is employed as an initial guess to precisely determine itself. Based on the physical specifications of KOrea Multi-Purpose SATellite-2 (KOMPSAT-2), a Korean artificial satellite, numerical simulations show that a satellite ascends with full thrust at the early stage of the maneuver period and then descends with null thrust. While the thrust profile is presumably bang-off, it is difficult to precisely determine the switching time by using a pseudospectral method only. This is expected, since the optimal switching epoch does not coincide with one of the collocation points prescribed by the pseudospectral method, in general. As an attempt to precisely determine the switching time and the associated optimal thrust history, a shooting (indirect) method is then employed with the initial guess being obtained through the pseudospectral method. This hybrid process allows the determination of the optimal fuel consumption for LEO spacecrafts and their thrust profiles efficiently and precisely.