• Title/Summary/Keyword: quadratic optimization problem

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A Study on the Optimal Design of Automotive Gas Spring (차량용 가스스프링의 최적설계에 관한 연구)

  • Lee, Choon Tae
    • Journal of Drive and Control
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    • v.14 no.4
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    • pp.45-50
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    • 2017
  • The gas spring is a hydropneumatic adjusting element, consisting of a pressure tube, a piston rod, a piston and a connection fitting. The gas spring is filled with compressed nitrogen within the cylinder. The filling pressure acts on both sides of the piston and because of area difference it produces an extension force. Therefore, a gas spring is similar in function compare to mechanical coil spring. Conversely, optimization is a process of finding the best set of parameters to reach a goal while not violating certain constraints. The AMESim software provides NLPQL (Nonlinear Programming by Quadratic Lagrangian) and GA (genetic algorithm) for optimization. The NLPQL method builds a quadratic approximation to the Lagrange function and linear approximations to all output constraints at each iteration, starting with the identity matrix for the Hessian of the Lagrangian, and gradually updating it using the BFGS method. On each iteration, a quadratic programming problem is solved to find an improved design until the final convergence to the optimum design. In this study, we conducted optimization design of the gas spring reaction force with NLPQL.

A study on the Evaluation of Heat Transfer Coefficient by Optimization Algorithm (최적화 기법을 활용한 열전달계수의 측정)

  • Kim, J.T.;Lim, C.H.;Choi, J.K.
    • Transactions of Materials Processing
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    • v.15 no.9 s.90
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    • pp.679-685
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    • 2006
  • New method for evaluation of heat transfer coefficient is proposed. In general, many researchers have been studied about inverse problem in order to calculate the heat transfer coefficient on three-dimensional heat conduction problem. But they can get the time-dependent heat transfer coefficient only through inverse problem. In order to acquire temperature-dependent heat transfer coefficient, it requires much time for numerous repetitive calculation and inconvenient manual modification. In order to solve these problems, we are using the SQP(Sequential Quadratic Programming) as an optimization algorithm. When the temperature history is given by experiment, the optimization algorithm can evaluate the temperature-dependent heat transfer coefficient with automatic repetitive calculation until difference between calculated temperature history and experimental ones is minimized. Finally, temperature-dependent heat transfer coefficient evaluated by developed program can used on various heat transfer problem.

Parametric Approaches to Sliding Mode Design for Linear Multivariable Systems

  • Kim, Kyung-Soo;Park, Young-Jin
    • International Journal of Control, Automation, and Systems
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    • v.1 no.1
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    • pp.11-18
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    • 2003
  • The parametric approaches to sliding mode design are newly proposed for the class of multivariable systems. Our approach is based on an explicit formula for representing all the slid-ing modes using the Lyapunov matrices of full order. By manipulating Lyapunov matrices, the sliding modes which satisfy the design criteria such as the quadratic performance optimization and robust stability to parametric uncertainty, etc., can be easily obtained. The proposed ap-proach enables us to adopt a variety of Lyapunov- (or Riccati-) based approaches to the sliding mode design. Applications to the quadratic performance optimization problem, uncertain systems, systems with uncertain state delay, and the pole-clustering problem are discussed.

Rank-constrained LMI Approach to Simultaneous Linear Quadratic Optimal Control Design (계수조건부 LMI를 이용한 동시안정화 LQ 최적제어기 설계)

  • Kim, Seog-Joo;Cheon, Jong-Min;Kim, Jong-Moon;Kim, Chun-Kyung;Lee, Jong-Moo;Kwon, Soom-Nam
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.11
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    • pp.1048-1052
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    • 2007
  • This paper presents a rank-constrained linear matrix inequality(LMI) approach to simultaneous linear-quadratic(LQ) optimal control by static output feedback. Simultaneous LQ optimal control is formulated as an LMI optimization problem with a nonconvex rank condition. An iterative penalty method recently developed is applied to solve this rank-constrained LMI optimization problem. Numerical experiments are performed to illustrate the proposed method, and the results are compared with those of previous work.

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

  • Park, Nareh;Kim, Si-Hwa
    • Journal of the Korean Operations Research and Management Science Society
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    • v.41 no.2
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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.

A TRUST REGION METHOD FOR SOLVING THE DECENTRALIZED STATIC OUTPUT FEEDBACK DESIGN PROBLEM

  • MOSTAFA EL-SAYED M.E.
    • Journal of applied mathematics & informatics
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    • v.18 no.1_2
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    • pp.1-23
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    • 2005
  • The decentralized static output feedback design problem is considered. A constrained trust region method is developed that solves this optimal control problem when a complete set of state variables is not available. The considered problem is interpreted as a non-linear (non-convex) constrained matrix optimization problem. Then, a decentralized constrained trust region method is developed for this problem class exploiting the diagonal structure of the problem and using inexact computations. Finally, numerical results are given for the proposed method.

Shape Optimization for the EMF Harmonics Reduction of PM Type Synchronous Generators (영구자석 계자형 동기발전기의 고주파 저감을 위한 자기회로 최적설계)

  • Kim, Yeong-Gyun;Lee, Jae-Geon;Im, Yang-Su;Gang, Gyu-Hong;Hong, Jeong-Pyo;Jang, Gi-Chan
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.50 no.10
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    • pp.494-500
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    • 2001
  • This paper presents the shape optimization to minimize the BEMF(Back Electro-Motive Force) harmonics of PM type synchronous generators. RSM(Response Surface Methodology) is well adapted to make analytical model for a complex problem considering a lot of interaction of design variables. In this paper, RSM is used to find the optimal solution. The 2D-Finite Element Method is used to obtain the observer data of the BEMF and SQP(Sequential Quadratic Problem method) is used to solve the constrained nonlinear optimization problem.

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A study on Reduction of Cogging Torque for BLDC Motor Using Response Surface Methodology Optimization (반응표면방법론을 이용한 BLDC전동기의 코깅토크 저감에 관한 연구)

  • Kim, Yeong-Gyun;Lee, Geun-Ho;Hong, Jeong-Pyo
    • The Transactions of the Korean Institute of Electrical Engineers B
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    • v.51 no.2
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    • pp.55-60
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    • 2002
  • This paper presents an optimization procedure by using Response Surface Methodology(RSM) to determine design parameters for reducing cogging torque. RSM is achieved through using the experimental design method in combination with Finite Element Method and adapted to make analytical model for a complex problem considering a lot of interaction of these parameters. Sequential Quadratic Problem (SQP) method is used to solve the relsulting of constrained nonlinear optimization problem.

Large-scale Nonseparabel Convex Optimization:Smooth Case (대규모 비분리 콘벡스 최적화 - 미분가능한 경우)

  • 박구현;신용식
    • Journal of the Korean Operations Research and Management Science Society
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    • v.21 no.1
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    • pp.1-17
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    • 1996
  • There have been considerable researches for solving large-scale separable convex optimization ptoblems. In this paper we present a method for large-scale nonseparable smooth convex optimization problems with block-angular linear constraints. One of them is occurred in reconfiguration of the virtual path network which finds the routing path and assigns the bandwidth of the path for each traffic class in ATM (Asynchronous Transfer Mode) network [1]. The solution is approximated by solving a sequence of the block-angular structured separable quadratic programming problems. Bundle-based decomposition method [10, 11, 12]is applied to each large-scale separable quadratic programming problem. We implement the method and present some computational experiences.

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Comparison of Optimization Algorithms for Available Transfer Capability Assessment in Interconnected Systems (연계계통에서 가용송전용량 평가를 위한 최적화 알고리즘의 비교)

  • Kim, Kyu-Ho;Song, Kyung-Bin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.55 no.12
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    • pp.549-554
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    • 2006
  • Available transfer capability(ATC) is an important indicator of the usable amount of transmission capacity accessible by several parties for commercial trading in power transaction activities. This paper deals with an application of optimization technique for available transfer capability(ATC) calculation and analyzes the results of ATC by considering several constraints. Especially several optimization techniques are used to solve the ATC problem with state-steady security constraints. The results are compared with that of repeat power flow(RPF), sequential quadratic programming(SQP) and linear programming(LP). The proposed method is applied to 10 machines 39 buses model systems to show its effectiveness.