• Title/Summary/Keyword: optimization formulation

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A Study of Reducing Congestion Cost using Decoupled Optimal Power Flow (분할 최적조류계산을 이용한 송전선 혼잡비용 감소 연구)

  • Jeong, Yun-Ho;Lee, Kwang-Ho
    • Proceedings of the KIEE Conference
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    • 2000.11a
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    • pp.107-109
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    • 2000
  • This paper presents an algorithm for reducing congestion cost using decoupled optimal power flow. The main idea of this algorithm is to reduce the reactive power flows on the congested lines in reactive power optimization. New objective function for reducing congestion cost is proposed in the reactive formulation by introducing the shadow prices for congested lines. The proposed algorithm is tested for IEEE 14-bus sample system, and the results are presented and discussed.

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Formulation and optimization of cubic polynomial joint trajectories for industrial robots (산업용 로보트를 위한 3차 다항식 조인트궤적의 구성과 최적화)

  • 김태산;배준경;박종국
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.92-97
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    • 1988
  • The path planning is done at the joint level. Cubic spline functions are used for constructing joint trajectories for industrial robots. For N-joint robot, Cartesian knots are transformed into N sets of joint displacements, with one set for each joint. For industrial application the speed of operation affects the productivity. An algorithm is developed to schedule the time intervals between each pair of adjacent knots such that the total traveling time is minimized subject to the physical constraints on joint velocties acceleration and jerks.

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OPTIMIZATION FOR THE BUBBLE STABILIZED LEGENDRE GALERKIN METHODS BY STEEPEST DESCENT METHOD

  • Kim, Seung Soo;Lee, Yong Hun;Oh, Eun Jung
    • Honam Mathematical Journal
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    • v.36 no.4
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    • pp.755-766
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    • 2014
  • In the discrete formulation of the bubble stabilized Legendre Galerkin methods, the system of equations includes the artificial viscosity term as the parameter. We investigate the estimation of this parameter to get the optimal solution which minimizes the maximum error. Some numerical results are reported.

A tracking controller using multi-layered neural networks

  • Bae, Byeong-Woo;Jeon, Gi-Joon;Kim, Kyung-Youn
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.56-60
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    • 1992
  • This paper addresses the problem of designing a neural network based controller for a discrete-time nonlinear dynamical system. Using two multi-layered neural networks we first design an indirect controller the weights of which are updated by the informations obtained from system identification. The weight update is executed by parameter optimization method under Lagrangian formulation. For the nonlinear dynamical system, we define several cost functions and by computer simulations analyze the control performances of them and the effects of penalty-weighting values.

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Design of Cylindrical Composite Shell for Optimal Dimensions (최적 단면 치수를 가지는 복합재료 중공 빔의 설계)

  • 최용진;전흥재;박혁성
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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    • pp.127-133
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    • 2003
  • In this study, a problem formulation and solution for design optimization of laminate composite cylindrical beam section is presented. The objective of this research is to determine the optimal dimension of the laminated composite cylindrical beam sections which has the equivalent flexural rigidities to those of the steel cylindrical beam sections. The analytical model is based on the laminate theory and accounts for the material coupling for arbitrary laminate stacking sequence configuration. The outer diameter and thickness of the beam are design variables. The solutions described are found using a global search algorithm, Genetic Algorithms (GA).

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Optimal Preform Design in Powder Forging by the Design Sensitivity (설계민감도를 이용한 분말단조 공정에서의 최적 예비성형체 설계)

  • 정석환;황상무
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1998.03a
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    • pp.113-116
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    • 1998
  • A derivative based approach to process optimal design in powder forging is presented. The process model, the formulation for process optimal design, and the schemes for the evaluation of the design sensitivity, and an iterative procedure for the optimization are described in detail. The validity of the schemes for the evaluation of the design sensitivity is examined by performing numerical tests. The capability of the proposed approach to deal with diverse process parameters and objective functions is demonstrated through applications to some selected process design problems.

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Optimum Design of Truss Stuctures Using Discrete Variables (이산화 변수를 사용한 트러스 구조물의 최적 설계)

  • 박성화;이종권;이병해
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1995.10a
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    • pp.9-16
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    • 1995
  • This study presents the applicable possibility of numerical optimization and Genetic Algorithm in the design of truss structures using discrete variables and real constraints. The introduction of Genetic Algorithm in the design of truss structures enables us to do easier formulation and handle discrete variables. To investigate these applicable possibility, the design of 15 - bar truss structures has been studied using GT/STRUDL and Genetic Algorithm and the results of Genetic Algorithm are compared with GT/STRUDL's.

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A Comparison of Group Steiner Tree Formulations (그룹-스타이너-트리 문제의 수학적 모형에 대한 연구)

  • Myung, Young-Soo
    • Journal of Korean Institute of Industrial Engineers
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    • v.37 no.3
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    • pp.191-197
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    • 2011
  • The group Steiner tree problem is a generalization of the Steiner tree problem that is defined as follows. Given a weighted graph with a family of subsets of nodes, called groups, the problem is to find a minimum weighted tree that contains at least one node in each group. We present some existing and some new formulations for the problem and compare the relaxations of such formulations.

Robust Stabilization of Uncertain Nonlinear Systems via Fuzzy Modeling and Numerical Optimization Programming

  • Lee Jongbae;Park Chang-Woo;Sung Ha-Gyeong;Lim Joonhong
    • International Journal of Control, Automation, and Systems
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    • v.3 no.2
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    • pp.225-235
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    • 2005
  • This paper presents the robust stability analysis and design methodology of the fuzzy feedback linearization control systems. Uncertainty and disturbances with known bounds are assumed to be included in the Takagi-Sugeno (TS) fuzzy models representing the nonlinear plants. $L_2$ robust stability of the closed system is analyzed by casting the systems into the diagonal norm bounded linear differential inclusions (DNLDI) formulation. Based on the linear matrix inequality (LMI) optimization programming, a numerical method for finding the maximum stable ranges of the fuzzy feedback linearization control gains is also proposed. To verify the effectiveness of the proposed scheme, the robust stability analysis and control design examples are given.

Resolution of kinematic redundancy using contrained optimization techniques under kinematic inequality contraints

  • Park, Ki-Cheol;Chang, Pyung-Hun
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10a
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    • pp.69-72
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    • 1996
  • This paper considers a global resolution of kinematic redundancy under inequality constraints as a constrained optimal control. In this formulation, joint limits and obstacles are regarded as state variable inequality constraints, and joint velocity limits as control variable inequality constraints. Necessary and sufficient conditions are derived by using Pontryagin's minimum principle and penalty function method. These conditions leads to a two-point boundary-value problem (TPBVP) with natural, periodic and inequality boundary conditions. In order to solve the TPBVP and to find a global minimum, a numerical algorithm, named two-stage algorithm, is presented. Given initial joint pose, the first stage finds the optimal joint trajectory and its corresponding minimum performance cost. The second stage searches for the optimal initial joint pose with globally minimum cost in the self-motion manifold. The effectiveness of the proposed algorithm is demonstrated through a simulation with a 3-dof planar redundant manipulator.

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