• Title/Summary/Keyword: Optimal control problems

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SDRE 기법을 이용한 헬리콥터 비선형 최적제어기 설계 연구 (Research on the Design of Helicopter Nonlinear Optimal Controller using SDRE Technique)

  • 양창덕;김민재;이정환;홍지승;김창주
    • 한국항공우주학회지
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    • 제36권12호
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    • pp.1152-1162
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    • 2008
  • 본 논문은 헬리콥터 비선형 제어기 설계를 위한 State-Dependent Riccati Equation (SDRE) 기법을 다루었다. SDRE 제어기법은 비선형 운동방정식에 대해 선형 시스템과 같은 구조를 갖는 방정식을 필요하기 때문에 State-Dependent Coefficient (SDC) factorization 기법을 개발하여 비선형 운동방정식으로부터 이러한 구조의 방정식을 유도하였다. SDRE제어기를 온라인상에서 설계하는데 필요한 대수 Riccati 방정식의 효율적인 수치해법을 연구하였다. 본 연구에서 제안된 수치기법을 헬리콥터의 경로추종문제로 적용하였으며, 고 신뢰도의 헬리콥터 수학적 모델을 적용하여 실시간으로 SDRE 제어기를 설계할 수 있는 방안을 제안하였다.

컨텍스트 의존 DEA를 활용한 다기준 ABC 재고 분류 방법 (Multi -Criteria ABC Inventory Classification Using Context-Dependent DEA)

  • 박재훈;임성묵;배혜림
    • 산업경영시스템학회지
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    • 제33권4호
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    • pp.69-78
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    • 2010
  • Multi-criteria ABC inventory classification is one of the most widely employed techniques for efficient inventory control, and it considers more than one criterion for categorizing inventory items into groups of different importance. Recently, Ramanathan (2006) proposed a weighted linear optimization (WLO) model for the problem of multi-criteria ABC inventory classification. The WLO model generates a set of criteria weights for each item and assigns a normalized score to each item for ABC analysis. Although the WLO model is considered to have many advantages, it has a limitation that many items can share the same optimal efficiency score. This limitation can hinder a precise classification of inventory items. To overcome this deficiency, we propose a context-dependent DEA based method for multi-criteria ABC inventory classification problems. In the proposed model, items are first stratified into several efficiency levels, and then the relative attractiveness of each item is measured with respect to less efficient ones. Based on this attractiveness measure, items can be further discriminated in terms of their importance. By a comparative study between the proposed model and the WLO model, we argue that the proposed model can provide a more reasonable and accurate classification of inventory items.

공급사슬 내의 재고관리를 위한 모의실험에 기초한 발견적 기법: 봉사척도 관점 (A Simulation-based Heuristic Algorithm for Determining a Periodic Order Policy at the Supply Chain: A Service Measure Perspective)

  • 박창규
    • 산업공학
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    • 제13권3호
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    • pp.424-430
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    • 2000
  • Supply chain management (SCM) is an area that has recently received a great deal of attention in the business community. While SCM is relatively new, the idea of coordinated planning is not. During the last decades, many researchers have investigated multi-stage inventory problems. However, only a few papers address the problem of cost-optimal coordination of multi-stage inventory control with respect to service measures. Even published approaches have a shortcoming in dealing with a delivery lead time consisted of a shipping time and a waiting time. Assumed that there is no waiting time, or that the delivery lead time is implicitly compounded of a shipping time and a waiting time, the problem is often simplified into a multi-stage buffer allocation and a single-stage stochastic buffer sizing problem at all installations. This paper presents a simulation-based heuristic algorithm and a comparison with others for the problem that cannot be decomposed into a multi-stage buffer allocation and a single-stage stochastic buffer sizing problem because the waiting time ties together all stages. The comparison shows that the simulation-based heuristic algorithm performs better than other approaches in saving average inventory cost for both Poisson and Normal demands.

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평균-분산 최적화 모형을 이용한 로버스트 선박운항 일정계획 (A Robust Ship Scheduling Based on Mean-Variance Optimization Model)

  • 박나래;김시화
    • 한국경영과학회지
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    • 제41권2호
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    • pp.129-139
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    • 2016
  • This paper presented a robust ship scheduling model using the quadratic programming problem. Given a set of available carriers under control and a set of cargoes to be transported from origin to destination, a robust ship scheduling that can minimize the mean-variance objective function with the required level of profit can be modeled. Computational experiments concerning relevant maritime transportation problems are performed on randomly generated configurations of tanker scheduling in bulk trade. In the first stage, the optimal transportation problem to achieve maximum revenue is solved through the traditional set-packing model that includes all feasible schedules for each carrier. In the second stage, the robust ship scheduling problem is formulated as mentioned in the quadratic programming. Single index model is used to efficiently calculate the variance-covariance matrix of objective function. Significant results are reported to validate that the proposed model can be utilized in the decision problem of ship scheduling after considering robustness and the required level of profit.

유닛인젝터용 고속응답 솔레노이드 설계 및 응용에 관한 연구 (A Study on Design and Application of High Response Solenoid for Unit Injector)

  • 황재원;양이진;정영식;이상만;채재우
    • 한국자동차공학회논문집
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    • 제6권1호
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    • pp.43-51
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    • 1998
  • Most of fuel-injection system operated with mechanical methods are difficult to control the injection quantity and injection timing as well as injection rate exactly. Moreover high pressure injection scheme is never be realized with conventional one. On the other hand, serious air pollution can be lessened with injection system equipped with those functions. Therefore, electronically controlled Unit Injuctor(UI) appeared to satify above mentioned desires. However, it is still difficult that the most important part, especially solenoid valve, is analyzed precisely, because of the existence of complex combination of electromagnetics, electrics and dynamic problems. In this study, experimental and theoretical analysis are accomplished for understanding of solenoid valve characteristics and further its design. As the result, the follows are obtained 1) As the increase of wire diameter, the response time became shorter and optimal inductance existed in relative with the response time and wire diameter. 2) According to increasing input voltage, the traction force increased, otherwise the response time was shortened. 3) As the increase of armature stroke, the traction force decreased and the response time became longer.

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Optimal design of Base Isolation System considering uncertain bounded system parameters

  • Roy, Bijan Kumar;Chakraborty, Subrata
    • Structural Engineering and Mechanics
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    • 제46권1호
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    • pp.19-37
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    • 2013
  • The optimum design of base isolation system considering model parameter uncertainty is usually performed by using the unconditional response of structure obtained by the total probability theory, as the performance index. Though, the probabilistic approach is powerful, it cannot be applied when the maximum possible ranges of variations are known and can be only modelled as uncertain but bounded type. In such cases, the interval analysis method is a viable alternative. The present study focuses on the bounded optimization of base isolation system to mitigate the seismic vibration effect of structures characterized by bounded type system parameters. With this intention in view, the conditional stochastic response quantities are obtained in random vibration framework using the state space formulation. Subsequently, with the aid of matrix perturbation theory using first order Taylor series expansion of dynamic response function and its interval extension, the vibration control problem is transformed to appropriate deterministic optimization problems correspond to a lower bound and upper bound optimum solutions. A lead rubber bearing isolating a multi-storeyed building frame is considered for numerical study to elucidate the proposed bounded optimization procedure and the optimum performance of the isolation system.

반사형 LCD용 반사판의 표면구조의 최적화 (Optimization of the surface structure of reflector for reflective LCDs)

  • 김홍철;박원상;황용석;윤태훈;김재창
    • 한국광학회지
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    • 제13권2호
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    • pp.166-170
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    • 2002
  • 본 연구에서 우리는 반사형 LCD용 반사판을 최적화하고자 한다. 반사판의 새로운 표면구조를 체계적인 수식적 접근 및 분석을 통해 구한 후, 반사특성의 결과를 바탕으로 기존의 표면구조와 비교해서 보다 최적화된 표면구조를 제시하고자 한다. 반사특성의 결과로는 새로운 표면구조가 기존의 표면구조에 비해 동일한 시야각 범위에서 보다 균일한 반사율 분포를 나타내고 있으며, 또한 주변환경을 충분히 고려해서 사용자 위주의 자유로운 시야각 범위 조절이 가능함을 알 수 있다. 결과적으로, 새로운 표면구조는 보다 균일한 반사율 분포를 가지게 됨으로써, 기존의 반사형 LCD의 시야각 의존성을 상당부분 개선할 수 있으리라 본다.

Synthesis of GBSB-based Neural Associative Memories Using Evolution Program

  • Hyuk Cho;Park, Joo-young;Moon, Jong-sub;Park, Dai-hee
    • 한국지능시스템학회논문지
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    • 제11권7호
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    • pp.680-688
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    • 2001
  • In this paper, we propose a reliable method for searching the optimally performing generalized brain-state-in-a-box (GBSB) neural associative memory using an evolution program (EP) given a set of prototype patterns to be stored as stable equilibrium points. First, we exploit some qualitative guidelines necessary to synthesize the GBSB model. Next, we parameterize the solution space utilizing the limited number of parameters to represent the solution space. Then, we recast the synthesis of GBSB neural associative memories as two constrained optimization problems, which are equivalent to finding a solution to the original synthesis problem. Finally, we employ an evolution program (EP), which enables us to find an optimal set of parameters related to the size of domains of attraction (DOA) for prototype patterns. The validity of this approach is illustrated by a design example and computer simulations.

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Throughput-efficient Online Relay Selection for Dual-hop Cooperative Networks

  • Lin, Yuan;Li, Bowen;Yin, Hao;He, Yuanzhi
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제9권6호
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    • pp.2095-2110
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    • 2015
  • This paper presents a design for a throughput-efficient online relay selection scheme for dual-hop multi-relay cooperative networks. Problems arise with these networks due to unpredictability of the relaying link quality and high time-consumption to probe the dual-hop link. In this paper, we firstly propose a novel probing and relaying protocol, which greatly reduces the overhead of the dual-hop link estimation by leveraging the wireless broadcasting nature of the network. We then formulate an opportunistic relay selection process for the online decision-making, which uses a tradeoff between obtaining more link information to establish better cooperative relaying and minimizing the time cost for dual-hop link estimation to achieve higher throughput. Dynamic programming is used to construct the throughput-optimal control policy for a typically heterogeneous Rayleigh fading environment, and determines which relay to probe and when to transmit the data. Additionally, we extend the main results to mixed Rayleigh/Rician link scenarios, i.e., where one side of the relaying link experiences Rayleigh fading while the other has Rician distribution. Numerical results validate the effectiveness and superiority of our proposed relaying scheme, e.g., it achieves at least 107% throughput gain compared with the state of the art solution.

100 kWh급 초전도 베어링의 지름방향 준정적 특성 (Quasi-static Characteristics in Radial Direction of 100 kWh Class Superconductor Bearing)

  • 정세용;박병준;한영희;박병철;이정필;한상철
    • Progress in Superconductivity
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    • 제12권1호
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    • pp.27-31
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    • 2010
  • A superconductor flywheel energy storage system (SFES) is an electro-mechanical battery which transforms electrical energy into mechanical energy for storage, and vice versa. Many aspects of the quasi-static behavior of flywheel rotors still need to be studied closely, and the rotors require a stable and highly efficient supporting system such as high temperature superconductor (HTS) bearings, which offer dynamic stability without the use of active control. Quasi-static properties of HTS bearings in the radial direction provide data to solve problems which may occur in a running system. Since stiffness in countering rotor vibration is the main parameter for designing an HTS bearing system, we investigated the quasi-static properties of the magnetic force between permanent magnets(PMs) and HTS bulks in the radial direction. We measured radial stiffness, and discovered that bearing stiffness varied greatly depending on the number of active HTS bulks. This is valuable data for predicting the change in stiffness during partial HTS bearing failure. The quasi-static test results are used for optimal design and performance prediction for the 100 kWh class superconductor bearing.