• Title/Summary/Keyword: robust optimization problem

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Multiresponse Optimization Through A New Desirability Function Considering Process Parameter Fluctuation (공정변수의 변동을 고려한 만족도 함수를 통한 다중반응표면 최적화)

  • Gwon Jun-Beom;Lee Jong-Seok;Lee Sang-Ho;Jeon Chi-Hyeok;Kim Gwang-Jae
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 2004.10a
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    • pp.39-44
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    • 2004
  • A desirability function approach to a multiresponse problem is proposed considering process parameter fluctuation as well as distance-to-target of response and response variance. The variation of process parameters amplifies the variance of responses. It is called POE (propagation of error), which is defined as the standard deviation of the transmitted variability in the response as a function of process parameters. In order to obtain more robust process parameters, this variability should be considered in the optimization problem. The proposed method is illustrated using a rubber product case.

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$H^{\infty}$ Optimization of Mixed Sensitivity Function using Model-Matching and Interpolation Algorithm (모델정합과 보간 알고리즘을 이용한 혼합된 감도함수의 $H^{\infty}$ 최적화)

  • 윤한오;박홍배
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.29B no.3
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    • pp.16-24
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    • 1992
  • In this paper, we solve the problem of designing a robust optimal controller which minimizes the H$\infty$-norm of the mixed sensitivity function matrix for linear multivariable systems. For a given minimized value, ${\gamma}$>o, an algorithm of finding all stabilizing controllers, such that the H$\infty$-norm of the mixed sensitivity function matrix is less than ${\gamma}$, is developed. The proposed algorithm, which is based on the model-matching and the interpolation theory, can be used for the H$\infty$-optimization problem.

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Optimum Thickness Distributions of Plate Structure with Different Essential Boundary Conditions in the Fundamental Frequency Maximization Problem (기본고유진동수 최대화 문제에 있어서 경계조건에 따른 판구조물의 최적두께 분포)

  • Lee, Sang-Jin;Kim, Ha-Ryong
    • Proceeding of KASS Symposium
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    • 2006.05a
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    • pp.227-232
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    • 2006
  • This paper investigate the optimum thickness distribution of plate structure with different essential boundary conditions in the fundamental natural frequency maximization problem. In this study, the fundamental natural frequency is considered as the objective function to be maximized and the initial volume of structures is used as the constraint function. The computer-aided geometric design (CAGD) such as Coon's patch representation is used to represent the thickness distribution of plates. A reliable degenerated shell finite element is adopted calculate the accurate fundamental natural frequency of the plates. Robust optimization algorithms implemented in the optimizer DoT are adopted to search optimum thickness values during the optimization iteration. Finally, the optimum thickness distribution with respect to different boundary condition

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Development of Robust Fuzzy Controller with Relaxed Stability Condition: Global Intelligent Digital Redesign Approach (완화된 안정도 조건을 갖는 강인한 디지털 퍼지 제어기 설계: 전역적 디지털 재설계 접근법)

  • Sung, Hwa-Chang;Kim, Jin-Kyu;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.5
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    • pp.487-492
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    • 2007
  • This paper presents the development of digital robust fuzzy controller for uncertain nonlinear systems. The proposed approach is based on the intelligent digital redesign(IDR) method with considering the relaxed stability condition of fuzzy control system. The term IDR in the concerned system is to convert an existing analog robust control into an equivalent digital counterpart in the sense of the state-matching. We shows that the IDR problem can be reduced to find the digital fuzzy gains minimizing the norm distance between the closed-loop states of the analog and digital robust control systems. Its constructive conditions are expressed as the linear matrix inequalities(LMIs) and thereby easily tractable by the convex optimization techniques. Based on the nonquadratic Lyapunov function, the robust stabilization conditions are given for the sampled-data fuzzy system, and hence less conservative. A numerical example, chaotic Lorentz system, is demonstrated to visualize the feasibility of the proposed methodology.

System Optimization of Orthotropic Steel-Deck Bridges by Load and Resistance Factor Design (LRFD에 의한 강상판형교의 시스템 최적설계)

  • 조효남;민대홍;김현우
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1998.04a
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    • pp.262-271
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    • 1998
  • Recent, more and more steel deck bridges are adopted for the design of long span bridges and the upgrading of existing concrete deck bridges, mainly because of reduced self weight, higher stiffness and efficient erection compared to concrete decks. The main objective of this study is to propose on formulation of the design optimizations to develop an optimal desist program required for optimum desist for orthotropic steel-deck bridges. The objective function of the optimization is formulated as a minimum initial cost design problem. The behavior and design constraints are formulated based on the ASD and LRFD criteria of the Korean Bridge Design Code(1996). The optimum design program developed in this study consists of two steps. In the first step the system optimization of the steel box girder bridges is carried out. And in the second step the program provided the optimum design of the orthotropic steel-deck with close ribs. In the optimal design program the analysis module for the deck optimization is based on the Pelican Esslinger method. The optimizer module of the program utilizes the ADS(Automated Desist Synthesis) routines using the optimization techniques fuor constrained optimization. From the results of real application examples, The cost effectiveness of optimum orthotropic steel-deck bridges designs based on both ASD and LRFD methods is investigated by comparing the results with those of conventional designs, and it may be concluded that the design developed in this study seems efficient and robust for the optimization of orthotropic steel-deck bridges

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Multi-constrained optimization combining ARMAX with differential search for damage assessment

  • K, Lakshmi;A, Rama Mohan Rao
    • Structural Engineering and Mechanics
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    • v.72 no.6
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    • pp.689-712
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    • 2019
  • Time-series models like AR-ARX and ARMAX, provide a robust way to capture the dynamic properties of structures, and their residuals can be effectively used as features for damage detection. Even though several research papers discuss the implementation of AR-ARX and ARMAX models for damage diagnosis, they are basically been exploited so far for detecting the time instant of damage and also the spatial location of the damage. However, the inverse problem associated with damage quantification i.e. extent of damage using time series models is not been reported in the literature. In this paper, an approach to detect the extent of damage by combining the ARMAX model by formulating the inverse problem as a multi-constrained optimization problem and solving using a newly developed hybrid adaptive differential search with dynamic interaction is presented. The proposed variant of the differential search technique employs small multiple populations which perform the search independently and exchange the information with the dynamic neighborhood. The adaptive features and local search ability features are built into the algorithm in order to improve the convergence characteristics and also the overall performance of the technique. The multi-constrained optimization formulations of the inverse problem, associated with damage quantification using time series models, attempted here for the first time, can considerably improve the robustness of the search process. Numerical simulation studies have been carried out by considering three numerical examples to demonstrate the effectiveness of the proposed technique in robustly identifying the extent of the damage. Issues related to modeling errors and also measurement noise are also addressed in this paper.

Search Method for Optimal Valve Setting and Location to Reduce Leakage in Water Distribution Networks (배수관망시스템 누수저감을 위한 최적 밸브제어 및 위치탐색 모델 개발)

  • Choi, Jong Sub;Kala, Vairavamoorthy;Ahn, Hyo Won
    • Journal of Korean Society of Water and Wastewater
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    • v.22 no.1
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    • pp.149-157
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    • 2008
  • The reduction of leakage is a major issue of the South Korea water industry. The inclusion of pressure dependent leakage terms in network analysis allows the application of optimization techniques to identify the most effective means of reducing water leakage in distribution networks. This paper proposes a method to find optimal setting and location of control valve for reducing leakage efficiently. The proposed search method differs from previous methods for addressing optimal valve location problem and improves the GA simulation time with guaranteeing for getting the global optimal solution. The strength of this method has been demonstrated by means of case studies. This allows the procedure of optimization to be more robust and computational efficient.

Occlusion-Robust Marker-Based Augmented Reality Using Particle Swarm Optimization (파티클 집단 최적화를 이용한 가려짐에 강인한 마커 기반 증강현실)

  • Park, Hanhoon;Choi, Junyeong;Moon, Kwang-Seok
    • Journal of the HCI Society of Korea
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    • v.11 no.1
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    • pp.39-45
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    • 2016
  • Effective and efficient estimation of camera poses is a core method in implementing augmented reality systems or applications. The most common one is using markers, e.g., ARToolkit. However, use of markers suffers from a notorious problem that is vulnerable to occlusion. To overcome this, this paper proposes a top-down method that iteratively estimates the current camera pose by using particle swarm optimization. Through experiments, it was confirmed that the proposed method enables to implement augmented reality on severely-occluded markers.

Development of Genetic Algorithms for Efficient Constraints Handling (구속조건의 효율적인 처리를 위한 유전자 알고리즘의 개발)

  • Cho, Young-Suk;Choi, Dong-Hoon
    • Proceedings of the KSME Conference
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    • 2000.04a
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    • pp.725-730
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    • 2000
  • Genetic algorithms based on the theory of natural selection, have been applied to many different fields, and have proven to be relatively robust means to search for global optimum and handle discontinuous or even discrete data. Genetic algorithms are widely used for unconstrained optimization problems. However, their application to constrained optimization problems remains unsettled. The most prevalent technique for coping with infeasible solutions is to penalize a population member for constraint violation. But, the weighting of a penalty for a particular problem constraint is usually determined in the heuristic way. Therefore this paper proposes, the effective technique for handling constraints, the ranking penalty method and hybrid genetic algorithms. And this paper proposes dynamic mutation tate to maintain the diversity in population. The effectiveness of the proposed algorithm is tested on several test problems and results are discussed.

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AN LMI APPROACH TO AUTOMATIC LOOP-SHAPING OF QFT CONTROLLERS

  • Bokharaie, Vaheed S.;Khaki-Sedigh, Ali
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.433-437
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    • 2003
  • Quantitative Feedback Theory (QFT) is one of effective methods of robust controller design. In QFT design we can considers the phase information of the perturbed plant so it is less conservative than $H_{\infty}$ and ${\mu}$-synthesis methods and as be shown, it is more transparent than the sensitivity reduction methods mentioned . In this paper we want to overcome the major drawback of QFT method which is lack of an automatic method for loop-shaping step of the method so we focus on the following problem: Given a nominal plant and QFT bounds, synthesize a controller that achieves closed-loop stability and satisfies the QFT boundaries. The usual approach to this problem involves loop-shaping in the frequency domain by manipulating the poles and zeros of the nominal loop transfer function. This process now aided by recently developed computer aided design tools proceeds by trial and error and its success often depends heavily on the experience of the loop-shaper. Thus for the novice and First time QFT user, there is a genuine need for an automatic loop-shaping tool to generate a first-cut solution. Clearly such an automatic process must involve some sort of optimization, and while recent results on convex optimization have found fruitful applications in other areas of control theory we have tried to use LMI theory for automating the loop-shaping step of QFT design.

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