• Title/Summary/Keyword: quadratic optimization problem

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Conservative Quadratic RSM combined with Incomplete Small Composite Design and Conservative Least Squares Fitting

  • Kim, Min-Soo;Heo, Seung-Jin
    • Journal of Mechanical Science and Technology
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    • v.17 no.5
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    • pp.698-707
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    • 2003
  • A new quadratic response surface modeling method is presented. In this method, the incomplete small composite design (ISCD) is newly proposed to .educe the number of experimental runs than that of the SCD. Unlike the SCD, the proposed ISCD always gives a unique design assessed on the number of factors, although it may induce the rank-deficiency in the normal equation. Thus, the singular value decomposition (SVD) is employed to solve the normal equation. Then, the duality theory is used to newly develop the conservative least squares fitting (CONFIT) method. This can directly control the ever- or the under-estimation behavior of the approximate functions. Finally, the performance of CONFIT is numerically shown by comparing its'conservativeness with that of conventional fitting method. Also, optimizing one practical design problem numerically shows the effectiveness of the sequential approximate optimization (SAO) combined with the proposed ISCD and CONFIT.

A Study on Updating of Analytic Model of Dynamics for Aircraft Structures Using Optimization Technique (최적화 기법을 이용한 비행체 구조물 동특성 해석 모델의 최신화 연구)

  • Lee, Ki-Du;Lee, Young-Shin;Kim, Dong-Soo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.37 no.2
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    • pp.131-138
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    • 2009
  • Analytical modal verification is considered as the process to provide an acceptable description of the subject structure's behaviour. In general, results of original analytical model are different with actual structure results to uncertainty like non-linearity of material, boundary and modified shape, etc. In this paper, the dynamic model of glider's wing is correlated with static deformation and vibration test results by goal-attainment method, multi-objects optimization technique. The structural responses are predicted by using finite element method and optimization is carried out by using the SQP(sequential quadratic programming) method which is widely used in the constrained nonlinear optimization problem. The MAC(Modal Assurance Criterion) is used to modify the mode shapes and quantify the similarity.

Optimization Algorithm for Real-time Load Dispatch Problem Using Shut-off and Swap Method (발전정지와 교환방법을 적용한 실시간급전문제 최적화 알고리즘)

  • Lee, Sang-Un
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.17 no.4
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    • pp.219-224
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    • 2017
  • In facing the lack of a deterministic algorithm for economic load dispatch optimization problem, only non-deterministic heuristic algorithms have been suggested. Worse still, there is a near deficiency of research devoted to real-time load dispatch optimization algorithm. In this paper, therefore, I devise a shut-off and swap algorithm to solve real-time load dispatch optimization problem. With this algorithm in place, generators with maximum cost-per-unit generation power are to be shut off. The proposed shut-off criteria use only quadratic function in power generation cost function without valve effect nonlinear absolute function. When applied to the most prevalent economic load dispatch benchmark data, the proposed algorithm is proven to largely reduce the power cost of known algorithms.

A Study on Primal-Dual Interior-Point Method (PRIMAL-DUAL 내부점법에 관한 연구)

  • Seung-Won An
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.5
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    • pp.801-810
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    • 2004
  • The Primal-Dual Interior-Point (PDIP) method is currently one of the fastest emerging topics in optimization. This method has become an effective solution algorithm for large scale nonlinear optimization problems. such as the electric Optimal Power Flow (OPF) and natural gas and electricity OPF. This study describes major theoretical developments of the PDIP method as well as practical issues related to implementation of the method. A simple quadratic problem with linear equality and inequality constraints

A multilevel framework for decomposition-based reliability shape and size optimization

  • Tamijani, Ali Y.;Mulani, Sameer B.;Kapania, Rakesh K.
    • Advances in aircraft and spacecraft science
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    • v.4 no.4
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    • pp.467-486
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    • 2017
  • A method for decoupling reliability based design optimization problem into a set of deterministic optimization and performing a reliability analysis is described. The inner reliability analysis and the outer optimization are performed separately in a sequential manner. Since the outer optimizer must perform a large number of iterations to find the optimized shape and size of structure, the computational cost is very high. Therefore, during the course of this research, new multilevel reliability optimization methods are developed that divide the design domain into two sub-spaces to be employed in an iterative procedure: one of the shape design variables, and the other of the size design variables. In each iteration, the probability constraints are converted into equivalent deterministic constraints using reliability analysis and then implemented in the deterministic optimization problem. The framework is first tested on a short column with cross-sectional properties as design variables, the applied loads and the yield stress as random variables. In addition, two cases of curvilinearly stiffened panels subjected to uniform shear and compression in-plane loads, and two cases of curvilinearly stiffened panels subjected to shear and compression loads that vary in linear and quadratic manner are presented.

MODELING AND OPTIMIZATION OF THE AIR- AND GAS-SUPPLYING NETWORK OF A CHEMICAL PLANT

  • Han, In-Su;Han, Chong-Hun;Chung, Chang-Bock
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.377-382
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    • 2004
  • This paper presents a novel optimization method for the air- and gas-supplying network comprised of several air compression systems and air and gas streams in an industrial chemical plant. The optimization is based on the hybrid model developed by Han and $Han^1$ for predicting the power consumption of a compression system. A constrained optimization problem was formulated to minimize the total electric power consumption of all the compression systems in the air- and gas-supplying network under various operating constraints and was solved using a successive quadratic optimization algorithm. The optimization approach was applied to an industrial terephthalic acid manufacturing plant to achieve about 10% reduction in the total electric power consumption under varying ambient conditions.

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

  • Lee, Jae-Gun;Lim, Yang-Soo;Kim, Young-Kyoun;Kang, Gyu-Hong;Hong, Jung-Pyo;Chang, Ki-Chan
    • Proceedings of the KIEE Conference
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    • 2001.04a
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    • pp.57-59
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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 used to find the optimal solution. We used the 2D-Finite Element Method to obtain the observed data of the BEMF and SQP(Sequential Quadratic Problem method) is used to solve the constrained nonlinear optimization problem.

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Robust Mixed H2/H Filter Design for Uncertain Fuzzy Systems (불확실한 퍼지시스템의 견실한 혼합 H2/H 필터 설계)

  • Yoo, Seog-Hwan;Choi, Byung-Jae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.14 no.5
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    • pp.557-562
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    • 2004
  • This paper deals with a robust mixed ${H_2}/{H_{\infty}}$ filter design problem for a nonlinear dynamic system modeled as a T-S fuzzy system. Integral quadratic constraints are used to describe various kinds of uncertainties of the plant. A sufficient condition for solvability is given in terms of linear matrix inequality problem which can be efficiently solved using a convex optimization technique. In order to demonstrate the Proposed method, a numerical design example is provided.

A New Unified Method for Anti-windup and Bumpless Transfer (누적방지 무충돌전환을 위한 새로운 통합형 기법)

  • Kim, Tae-Shin;Kwon, Oh-Kyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.7
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    • pp.655-660
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    • 2009
  • In many real applications, the discrepancy problem between controller outputs and plant inputs or the abrupt variation problem of controller outputs can occur. These problems have a negative effect on control performance and stability. It is well-known that two phenomena called 'windup' and 'bump' cause these problems. So far these problems have been studied separately in each side of the anti-windup and the bumpless transfer. This paper proposes a new unified method combines the anti-windup and the bumpless transfer method using the linear quadratic minimization and a proper state space model representation for the anti-windup controller. The proposed method has a feature that it takes account of both the anti-windup and the bumpless transfer in one formula. Finally, we exemplify the performance of the proposed method via numerical examples using the controller switching between the anti-windup PID controller and the anti-windup LQ controller.

Sequential Quadratic Programming based Global Path Re-Planner for a Mobile Manipulator

  • Lee Soo-Yong
    • International Journal of Control, Automation, and Systems
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    • v.4 no.3
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    • pp.318-324
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    • 2006
  • The mobile manipulator is expected to work in partially defined or unstructured environments. In our global/local approach to path planning, joint trajectories are generated for a desired Cartesian space path, designed by the global path planner. For a local path planner, inverse kinematics for a redundant system is used. Joint displacement limit for the manipulator links is considered in the motion planner. In an event of failure to obtain feasible trajectories, the task cannot be accomplished. At the point of failure, a deviation in the Cartesian space path is obtained and a replanner gives a new path that would achieve the goal position. To calculate the deviation, a nonlinear optimization problem is formulated and solved by standard Sequential Quadratic Programming (SQP) method.