• Title/Summary/Keyword: optimal boundary

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Near-Optimal Collision Avoidance Maneuvers for UAV

  • Han, Su-Cheol;Bang, Hyo-Choong
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1999-2004
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    • 2004
  • Collision avoidance for the aircraft can be stated as a problem of maintaining a safe distance between aircrafts in conflict. Optimal collision avoidance problem seeks to minimize the given cost function while simultaneously satisfying the constraints. The cost function can be a function of time or input. This paper addresses the trajectory time-optimization problem for collision avoidance of the unmanned aerial vehicles. The problem is difficult to handle, because it is a two points boundary value problem with dynamic environment. Some simplifying algorithms are used for application in on-line operation. Although there are more complicated problems, by prediction of conflict time and some assumptions, we changed a dynamic environment problem into a static one.

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Minimum-Time Guidance and Control Law for High Maneuvering Missile

  • Yamaoka, Seiji
    • International Journal of Aeronautical and Space Sciences
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    • v.10 no.1
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    • pp.46-58
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    • 2009
  • This paper deals with design procedure of online guidance and control law for future missiles that requires agile maneuverability. For the purpose, the missile with high powered side thruster is proposed. The guidance and control law for such missiles is discussed from a point of view of optimal control theory in this paper. Minimum time problem is solved for the approximated system. It is derived that bang- bang control is optimal input from the necessary conditions of optimal solution. Feedback guidance without iterative calculation is useful for actual systems. In this paper. multiple design point method is applied to design feedback gains and feed forward inputs of the guidance and control law. The numerical results show that the proposed guidance and control law has a high -performance for wide-ranging boundary conditions.

Development of the Position Control Algorithm for Nonlinear Overhead Crane Systems (비선형 천장 크레인시스템의 위치제어 알고리즘 개발)

  • 이종규;이상룡
    • Journal of the Korean Society for Precision Engineering
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    • v.17 no.4
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    • pp.142-147
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    • 2000
  • An overhead crane system which transports an object by girder motion, trolley motion, and hoist motion becomes a nonlinear system because the length of a rope changes. To develope the position control algorithm for the nonlinear crane systems, we apply a nonlinear optimal control method which uses forward and backward difference methods and obtain optimal inputs. This method is suitable for the overhead crane system which is characterized by the differential equation of higher degree and swing motion. From the results of computer simulation, it is founded that the position of the overhead crane system is controlled, and the swing of the object is suppressed.

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A Study on the Optimal Position Determination of Middle Supporting Points to Maximize the First Natural Frequency of a Beam (보의 1차 고유진동수가 최대가 되는 중간지지점의 최적위치 선정에 관한 연구)

  • 안찬우;홍도관;김동영;최석창;박일수
    • Journal of KSNVE
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    • v.11 no.1
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    • pp.89-95
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    • 2001
  • This paper describes the natural frequencies obtained through FEA (Finite Element Analysis) and Numerical Analysis which uses the boundary conditions to each equation of motion and the consecutive conditions at each supporting point. And then. we studied on the optimal position determination of middle supporting points to maximize the natural frequency of a beam at 24 Models. We present the data of optimal condition for designing a beam.

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Optimal Shape Design of Excavator Boom Using the Semi-Analytical Method (민감도 근사해석법을 이용한 굴삭기 붐의 최적형상설계)

  • Lim, O-Kaung;Cho, Heon
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.1
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    • pp.301-309
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    • 1995
  • Shape optimal design of an excavator boom to minimize weight can be formulated as a nonlinear programming problem with an automesh refinement carried out by using the finite element method. The design variables are the radii and the coordinates of the circle to describe the excavator boundary shape. In addition to the displacement and stress constraints, geometric constraints are imposed such that the nodes cannot cross the certain range. The optimum design is obtained by using the PLBA nonlinear programming code. The sensitivity derivatives are calculated using the semi-analytical scheme. Numerical results of an excavator boom show potential for weight reduction of 4.4%(65.6 kgf) when considering the displacement, stress and geometric constraints.

Redundancy Resolution for Free-Floating Manipulators Using Kinematic Optimal Control Approach (기구학적 최적 제어를 사용한 자유 부유 매니퓰레이터의 여유도 해결)

  • Kim, Yong-Min;Kim, Byung-Kook
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.8
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    • pp.790-798
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    • 2011
  • An efficient sequential computation algorithm of kinematic optimal control is suggested for redundancy resolution of freefloating manipulators. Utilization of minimum principle usually requires involved and tedious procedure of differentiation of Hamiltonian. Due to the constraints of momentum conservation, it is not easy to get exact differential equations of boundary value problem for even relatively simple free-floating manipulator models. To overcome this difficulty, we developed an effective sequential algorithm for the computation of terms appeared in the differential equations. The usefulness of suggested approach is verified by simulation of a planar 3-joints free-floating manipulator.

Optimal Retirement Time and Consumption/Investment in Anticipation of a Better Investment Opportunity

  • Shim, Gyoocheol
    • Management Science and Financial Engineering
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    • v.20 no.2
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    • pp.13-25
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    • 2014
  • We investigate an optimal retirement time and consumption/investment policy of a wage earner who expects to find a better investment opportunity after retirement by being freed from other work and participating fully in the financial market. We obtain a closed form solution to the optimization problem by using a dynamic programming method under general time-separable von Neumann-Morgenstern utility. It is optimal for the wage earner to retire from work if and only if his wealth exceeds a certain critical level which is obtained from a free boundary value problem. The wage earner consumes less and takes more risk than he would without anticipation of a better investment opportunity.

Study on Optimal Design of Bulk Solids Feeder for Automatic filling system (자동충전시스템을 위한 벌크 솔리드 피더의 최적설계)

  • Ban, Kap-Soo;Yun, Jong-Hwan
    • Journal of the Korean Society of Industry Convergence
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    • v.16 no.4
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    • pp.133-140
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    • 2013
  • This paper presents an overview of the concepts of optimal feeder design in relation to the loading of bulk solids for Automatic filling system that should be control the amount of goods and packaging to seal. Feeder modular device, important parts of the package, so in order to perform a conceptual design optimization techniques are applied in two steps. First of all derive the problems through structural analysis for the conceptual model of vibrating feeder. Secondly derive reasonable design model based on the results of the structural analysis of modified boundary shape and then verify it. The proposed system has the following goal that is satisfies the dynamic stability with minimum weight and optimization of the shape. As a result, the weight reduction of feeder is 2.1% and 7% increase in the natural frequency.

Sensitivity Analysis for Optimum Shape Design of Electric Apparatus (전기기기 최적형상 설계를 위한 민감도 해석에 관한 연구)

  • Hahn, Song-Yop;Jung, Hyun-Kyo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.40 no.9
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    • pp.859-865
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    • 1991
  • This paper presents a new shaoe optimal design method using Desing Sensitivity Analysis. Design Sensitivity, defined as the variation of the object function with respect to the design variables, is based on the total differentiation of the matrix equation obtained from discretization of governing equations with respect to design variables. Analysis of the various characteristics adn calculation of Design Sensitivity of optimization model are achieved by using finite or boundary element methods. The proposee algorithm is applied to the optimal shape design of high voltage electrode under specified conditions. It is shown, from the numerical results, that the algorithm is very useful for the optimal shape design of electric apparatus.

Boussinesq equations for internal waves in a two-fluid system with a rigid lid

  • Liu, Chi-Min
    • Ocean Systems Engineering
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    • v.6 no.1
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    • pp.117-128
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    • 2016
  • A theoretical study of Boussinesq equations (BEs) for internal waves propagating in a two-fluid system is presented in this paper. The two-fluid system is assumed to be bounded by two rigid plates. A set of three equations is firstly derived which has three main unknowns, the interfacial displacement and two velocity potentials at arbitrary elevations for upper and lower fluids, respectively. The determination of the optimal BEs requires a solution of depth parameters which can be uniquely solved by applying the $Pad{\acute{e}}$ approximation to dispersion relation. Some wave properties predicted by the optimal BEs are examined. The optimal model not only increases the applicable range of traditional BEs but also provides a novel aspect of internal wave studies.