• 대한기계학회:학술대회논문집
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• 대한기계학회 2001년도 춘계학술대회논문집B
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• pp.93-98
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• 2001

This paper studies on the design of an ILQ(Inverse Linear Quadratic optimal control) looper control system for hot strip mills. The looper which is placed between each stand plays an important role in controlling strip width by regulating strip tension variation generated from the velocity difference of main work rolls. The mathematical model for looper is firstly obtained by Taylor's linearization of nonlinear differential equations, where it is given as a linear and time invariant state-space equation. Secondly, a looper servo controller is designed by ILQ control algorithm, which is an inverse problem of LQ(Linear Quadratic optimal control) control. By tunning control gain arbitration parameters and time constants, it is shown that the ILQ looper servo controller has the performance that makes well to follow desired trajectories of both strip tension and looper angle.

• Coupled systems mechanics
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• 제13권1호
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• pp.73-93
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• 2024

In this work, we propose combining an advanced optimal control algorithm with a geometrically exact beam model. For simplicity, the 2D Reissner beam model is chosen to represent large displacements and rotations. The difficulty pertains to the nonlinear nature of beam kinematics affecting the tangent stiffness matrix, making it non-constant, which compromises direct use of optimal control methods for linear problems. Thus, we seek to accommodate a time varying control using linear-quadratic regulator (LQR) algorithm with the proposed geometrically nonlinear beam model. We provide a detailed theoretical formulation and its numerical implementation in a variational format form. Several illustrative numerical examples are provided to confirm an excellent performance of the proposed methodology.

• 한국항해항만학회지
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• 제30권7호
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• pp.561-566
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• 2006

In this paper, we propose a new ship scheduling set packing model considering limited risk or variance. The set packing model is used in many applications, such as vehicle routing, crew scheduling, ship scheduling, cutting stock and so on. As long as the ship scheduling is concerned, there exits many unknown external factors such as machine breakdown, climate change and transportation cost fluctuation. However, existing ship scheduling models have not considered those factors apparently. We use a quadratic set packing model to limit the variance of expected cost of ship scheduling problems under stochastic spot rates. Set problems are NP-complete, and additional quadratic constraint makes the problems much harder. We implement Kelley's cutting plane method to replace the hard quadratic constraint by many linear constrains and use branch-and-bound algorithm to get the optimal integral solution. Some meaningful computational results and comments are provided.

• Journal of Mechanical Science and Technology
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• 제15권7호
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• pp.876-888
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• 2001

For a large scaled optimization based on response surface methods, an efficient quadratic approximation method is presented in the context of the trust region model management strategy. If the number of design variables is η, the proposed method requires only 2η+1 design points for one approximation, which are a center point and tow additional axial points within a systematically adjusted trust region. These design points are used to uniquely determine the main effect terms such as the linear and quadratic regression coefficients. A quasi-Newton formula then uses these linear and quadratic coefficients to progressively update the two-factor interaction effect terms as the sequential approximate optimization progresses. In order to show the numerical performance of the proposed method, a typical unconstrained optimization problem and two dynamic response optimization problems with multiple objective are solved. Finally, their optimization results compared with those of the central composite designs (CCD) or the over-determined D-optimality criterion show that the proposed method gives more efficient results than others.

• 한국항공우주학회지
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• 제40권2호
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• pp.118-128
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• 2012

본 논문은 쿼드로터형 무인 비행체를 비전센서를 이용한 목표 추적 위치 제어기 설계하였고, 이를 시뮬레이션 및 실험을 통해서 확인하였다. 우선 제어기 설계에 앞서 쿼드로터의 동역학 분석 및 실험데이터를 통한 모델링을 수행하였다. 이때, 모델의 계수들은 실제 비행 데이터를 이용한 PEM(Prediction Error Method)을 이용하여 얻었다. 이 추정된 모델을 바탕으로 LQR(Linear Quadratic Regulator) 기법을 이용한 임의의 목표를 따라가는 위치 제어기를 설계하였으며, 이때 위치 정보는 비전센서의 색 정보를 이용한 Color Tracking기능을 이용하여 쿼드로터와 물체의 상대적인 위치를 얻어내었고, 초음파 센서를 이용하여 고도 정보를 얻어 내었다. 마지막으로 실제 움직이는 물체의 추적 제어 실험을 수행하여 LQR 제어기 성능을 평가하였다.

• Journal of the Korean Data and Information Science Society
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• 제22권1호
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• pp.107-113
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• 2011

We present methods for studying the log-density ratio, which allow us to select which predictors are needed, and how they should be included in the logistic regression model. Under multivariate normal distributional assumptions, we investigate the form of the log-density ratio as a function of many predictors. The linear, quadratic and crossproduct terms are required in general. If two covariance matrices are equal, then the crossproduct and quadratic terms are not needed. If the variables are uncorrelated, we do not need the crossproduct terms, but we still need the linear and quadratic terms.

• 대한전기학회:학술대회논문집
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• 대한전기학회 2004년도 하계학술대회 논문집 D
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• pp.2516-2518
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• 2004

This paper proposes a stability condition in discrete-time affine Takagi-Sugeno (T-S) fuzzy systems with parametric uncertainties and then, introduces the design method of a fuzzy-model-based controller which guarantees the stability. The analysis is based on Lyapunov functions that are continuous and piecewise quadratic. The search for a piecewise quadratic Lyapunov function can be represented in terms of linear matrix inequalities (LMIs).

• 동력기계공학회지
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• 제19권4호
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• pp.24-29
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• 2015

This paper designs a looper-tension controller for strip top-tail parts in hot strip finishing mills. A three-degree linear model of the looper-tension system is derived by a Taylor's linearization method, where the actuator's dynamics are ignored because of their fast responses. A feedforward shaping controller for the strip top part and a feedforward model reference controller for the strip tail part are respectively designed, they are combined with an ILQ(Inverse Linear Quadratic optimal control) feedback controller for the strip middle part. It is shown from by a computer simulation that the proposed controller is very effective to the strip top-tail parts including the middle part.

• Journal of the Korean Data and Information Science Society
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• 제25권4호
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• pp.697-703
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• 2014

본 논문에서 다루는 딜또는노딜 게임은 미국 NBC 방송국의 인기 오락 프로그램으로 여러 개의 단계로 구성되어 있다. 본 논문에서는 각 단계에서 제시되는 딜금액 결정 모형을 제한이 있는 회귀모형과 이차계획법을 이용하여 규명한다. 최종적으로 딜금액 결정 모형식과 관련하여 각 단계별로 선형식을 유도하고 딜금액이 선형식으로부터 얻어지는 값을 반올림한 정수값과 일치함을 시뮬레이션 자료를 이용하여 밝혔다.

• 한국수자원학회논문집
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• 제42권12호
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• pp.1053-1067
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• 2009

본 연구의 목적은 하도의 형상이 불규칙한 자연하천에서 2차원 흐름 특성을 해석하고 예측하기 위해 2차 요소를 이용한 정확하고 효과적인 상향가중 유한요소모형의 개발에 있다. 모형의 개발을 위해 선형 삼각형 요소, 선형 사각형 요소와 혼합요소를 적용하였고 2차 삼각형, 사각형 요소와 혼합요소를 적용하여 모형을 개발하였으며, 지배방정식의 수치적분식으로 Gauss Quadrature 방법을 사용하였다. 개발된 모형의 적용성 검증을 위해 하상융기가 있는 수로, U자형 수로 등에 모의를 실시하여 해석해 및 실측치와 비교 검토하였다. 모의 결과 2차 요소가 선형 요소에 비해 보다 정확한 해를 제공하는 것으로 판단되었으며 2차요소를 적용한 상용모형인 RMA-2 모형과 비교한 결과 본 연구 개발 모형이 보다 정확한 해를 나타내는 것을 확인할 수 있었다. 개발된 모형을 향후 자연하천에 적용할 경우 기존의 모형에 비해 향상된 결과를 얻을 수 있을 것으로 판단된다.