• Title/Summary/Keyword: quadratic cost function

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Minimum Optimal Scale of the Self-Employed Health Insurance Programs in Korea (지역의료보험조합의 규모에 따른 관리운영비 분석)

  • Park, Gang-Won;Lee, Jung-Un;Kim, Hae-Kyung;Moon, Ok-Ryun
    • Journal of Preventive Medicine and Public Health
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    • v.25 no.4 s.40
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    • pp.333-342
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    • 1992
  • The purpose of this study is to estimate the minimum optimal scale(MOS) of the self-employed health insurance associations. Considering the high proportion of operating expenses, the author have selected 254 regional health insurance associations eon the 1990 Finance Report of the self-employed health insurance programs. Both a quadratic function and a hyperbolic function were chosen for the analysis. The dependent variables are the average maintenance cost per insured person and per household, and the independent variables are the number of insured members and of household The minimum optimal scale was obtained from the differentiation of the quadratic function. Major findings are summarized as follows: 1. The M.O.S. was calculated as 166,174 members (27,442 households) for the rural self-employed health insurance associations and 258,462 members (75,446 households) for the urban. Providing that both the rural and urban health insurance associations would be integrated, the M.O.S. be found to become 231,687 members (68,101 households) 2. Compared with the optimal minimum scale, the magnitude of the current health insurance association found to be much smaller, less than half of the optimal scale. 3. In order to reduce the operating cost, it is necessary to enlarge the operational scale of self-employed health insurance associations.

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Optimal Control Policy for Linear-Quadratic Control Problems with Delay and Intermediate State Constraints

  • Chong, Kil-To;Kostyukova, Olga;Kurdina, Mariya
    • International Journal of Control, Automation, and Systems
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    • v.6 no.6
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    • pp.845-858
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    • 2008
  • In this paper, we consider a terminal, linear control system with delay, subject to unknown but bounded disturbances. For this system, we consider the problem of constructing a worst-case optimal feedback control policy, which can be corrected at fixed, intermediate time instants. The policy should guarantee that for all admissible uncertainties the system states are in prescribed neighborhoods of predefined system states, at all fixed, intermediate time instants, and in the neighborhood of a given state at a terminal time instant, and the value of the cost function is the best guaranteed value. Simple explicit rules(which can be easily implemented on-line) for constructing the optimal control policy in the original control problem are derived.

Heat Exchanger Optimization using Progressive Quadratic Response Surface Method (순차적 2 차 반응표면법을 이용한 열교환기 최적설계)

  • Park, Kyoung-Woo;Choi, Dong-Hoon;Lee, Kwan-Soo;Kim, Yang-Hyun
    • Proceedings of the KSME Conference
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    • 2004.11a
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    • pp.1022-1027
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    • 2004
  • In this study, the shape of plate-fin type heat sink is numerically optimized to acquire the minimum pressure drop under the required temperature rise. To do this, a new sequential approximate optimization (SAO) is proposed and it is integrated with the computational fluid dynamics (CFD). In thermal/fluid systems for constrained nonlinear optimization problems, three fundamental difficulties such as high cost for function evaluations (i.e., pressure drop and thermal resistance), the absence of design sensitivity information, and the occurrence of numerical noise are confronted. To overcome these problems, the progressive quadratic response surface method (PQRSM), which is one of the sequential approximate optimization algorithms, is proposed and the heat sink is optimize by means of the PQRSM.

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Identification of Noise Covariance by using Innovation Correlation Test (이노베이션 상관관계 테스트를 이용한 잡음인식)

  • Park, Seong-Wook
    • Proceedings of the KIEE Conference
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    • 1992.07a
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    • pp.305-307
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    • 1992
  • This paper presents a technique, which identifies both process noise covariance and sensor noise covariance by using innovation correlation test. A correlation test, which checks whether the square root Kalman filter is workingly optimal or not, is given. The system is stochastic autoregressive moving-average model with auxiliary white noise Input. The linear quadratic Gaussian control is used for minimizing stochastic cost function. This paper indentifies Q, R, and estimates parametric matrics $A(q^{-1}),B(q^{-1}),C(q^{-1})$ by means of extended recursive least squares and model reference control. And The proposed technique has been validated in simulation results on the fourth order system.

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Discrete-time robust Kalman filter design in indefinite inner product space

  • Lee, Tae-Hoon;Park, Jin-Bae;Yoon, Tae-Sung;Ra, Won-Sang
    • 제어로봇시스템학회:학술대회논문집
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    • 2002.10a
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    • pp.45.2-45
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    • 2002
  • $\textbullet$ Uncertainties are described by sum quadratic constraint(SQC) $\textbullet$ SQC is converted into an indefinite quadratic cost function $\textbullet$ A Kalman filter developed in indefinite inner product space is Krein space Kalman filter $\textbullet$ To minimize the SQC, the Krein space Kalman filter is used $\textbullet$ The proposed robust filter outperforms the standard Kalman filter and existing robust Kalman filter $\textbullet$ The proposed filter has the same recursive, simple structure as the standard Kalman filter $\textbullet$ Easy to design, adequate for on-line implementation

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Multivariable constrained model-based predictive control with application to boiler systems (제약조건을 갖는 다변수 모델 예측제어기의 보일러 시스템 적용)

  • Son, Won-Gi;Gwon, O-Gyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.6
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    • pp.582-587
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    • 1997
  • This paper deals with the control problem under nonlinear boiler systems with noise, and input constraints. MCMBPC(Multivariable Constrained Model-Based Predictive Controller) proposed by Wilkinson et al.[10,11] is used and nominal model is modified in this paper in order to applied to nonlinear boiler systems with feed-forward terms. The solution of the cost function optimization constrained on input and/or output variables is achieved using quadratic programming, via singular value decomposition(SVD). The controller designed is shown to satisfy the constraints and to have excellent tracking performance via simulation applied to nonlinear dynamic drum boiler turbine model for 16OMW unit.

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New Control Scheme for the Wind-Driven Doubly Fed Induction Generator under Normal and Abnormal Grid Voltage Conditions

  • Ebrahim, Osama S.;Jain, Praveen K.;Nishith, Goel
    • Journal of Power Electronics
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    • v.8 no.1
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    • pp.10-22
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    • 2008
  • The wind-driven doubly fed induction generator (DFIG) is currently under pressure to be more grid-compatible. The main concern is the fault ride-through (FRT) requirement to keep the generator connected to the grid during faults. In response to this, the paper introduces a novel model and new control scheme for the DFIG. The model provides a means of direct stator power control and considers the stator transients. On the basis of the derived model, a robust linear quadratic (LQ) controller is synthesized. The control law has proportional and integral actions and takes account of one sample delay in the input owing to the microprocessor's execution time. Further, the influence of the grid voltage imperfection is mitigated using frequency shaped cost functional method. Compensation of the rotor current pulsations is proposed to improve the FRT capability as well as the generator performance under grid voltage unbalance. As a consequence, the control system can achieve i) fast direct power control without instability risk, ii) alleviation of the problems associated with the DFIG operation under unbalanced grid voltage, and iii) high probability of successful grid FRT. The effectiveness of the proposed solution is confirmed through simulation studies on 2MW DFIG.

Maximizing the Overall Satisfaction Degree of all Participants in the Market Using Real Code-based Genetic Algorithm by Optimally Locating and Sizing the Thyristor-Controlled Series Capacitor

  • Nabavi, Seyed M.H.;Hajforoosh, Somayeh;Hajforoosh, Sajad;Karimi, Ali;Khafafi, Kamran
    • Journal of Electrical Engineering and Technology
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    • v.6 no.4
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    • pp.493-504
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    • 2011
  • The present paper presents a genetic algorithm (GA) to maximize social welfare and perform congestion management by optimally placing and sizing one Thyristor-Controlled Series Capacitor (TCSC) device in a double-sided auction market. Simulation results, with line flow constraints before and after the compensation, are compared through the Sequential Quadratic Programming SQP method, and are used to analyze the effect of TCSC on the congestion levels of modified IEEE 14-bus and 30-bus test systems. Quadratic, smooth and nonsmooth (with sine components due to valve point loading effect) generator cost curves, and quadratic smooth consumer benefit functions are considered. The main aims of the present study are the inclusion of customer benefit in the social welfare maximization and congestion management objective function, the consideration of nonsmooth generator characteristics, and the optimal locating and sizing of the TCSC using real code-based GA to guarantee fast convergence to the best solution.

OPTIMAL CONTROL PROBLEMS FOR PARABOLIC HEMIVARIATIONAL INEQUALITIES WITH BOUNDARY CONDITIONS

  • Jeong, Jin-Mun;Ju, Eun-Young;Kim, Hyun-Min
    • Journal of the Korean Mathematical Society
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    • v.52 no.3
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    • pp.567-586
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    • 2015
  • In this paper, we study optimal control problems for parabolic hemivariational inequalities of dynamic elasticity and investigate the continuity of the solution mapping from the given initial value and control data to trajectories. We show the existence of an optimal control which minimizes the quadratic cost function and establish the necessary conditions of optimality of an optimal control for various observation cases.

Linear Quadratic Control with Pole Placement for an Automotive Active Suspension System (극점배치기능을 갖는 LQ제어기 설계 및 자동차 능동 현가장치 제어에의 응용)

  • 최재원;서영봉;유완석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.10a
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    • pp.513-517
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    • 1995
  • In this paper, a relation of matrix Q in cost function to distances between the closed-loop and open-loop poles of a multi input controllable systems is studied. Futhmore, the state feedback gain with exact desired eigenvalues in the LQR is computed. The proposed scheme is applied to designing automotive active suspension control system for a half-car model and its performance is compared with the existing LQR control system design methodology.

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