• Title/Summary/Keyword: quadratic cost function

Search Result 123, Processing Time 0.034 seconds

Non-fragile Guaranteed Cost Controller Design for Uncertain Time-delay Systems via Delayed Feedback (지연귀환을 통한 불확실 시간지연 시스템의 비약성 성능보장 제어기 설계)

  • Kwon, Oh-Min;Park, Ju-Hyun
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.57 no.3
    • /
    • pp.458-465
    • /
    • 2008
  • In this paper, we propose a non-fragile guaranteed cost controller design method for uncertain linear systems with constant delyas in state. The norm bounded and time-varying uncertainties are subjected to system and controller design matrices. A quadratic cost function is considered as the performance measure for the system. Based on the Lyapunov method, an LMI(Linear Matrix Inequality) optimization problem is established to design the controller which uses information of delayed state and minimizes the upper bound of the quadratic cost function for all admissible system uncertainties and controller gain variations. Numerical examples show the effectiveness of the proposed method.

A Study on the Economic Repair Pattern of the Building Components in the Apartment Housing (공동주택 구성재의 경제적 수선형태 설정 연구)

  • Lee, Kang-Hee;Chae, Chang-U
    • Journal of the Korean housing association
    • /
    • v.17 no.5
    • /
    • pp.87-95
    • /
    • 2006
  • Building components have been deteriorated by various factors such as location, a building type, a surrounding environment and so on. In addition, each component has a peculiar characteristics, compared with other components in properties of matter an used part. Building components would be required to maintain its function and performance to provide the resident with a decent living condition. It is important to decide the repair time, scope and a required cost in repair plan, considering the each component's characteristics. In this parer, it aimed at providing the economic repair pattern to analyze the relation of the time-elapse and the cumulative repair cost in the apartment housing using 3rd quadratic function. Results of the study are as follows: First, the shape of the function for the economic repair is classified into two type. One is the continuous increase type of the cumulative cost which properly means the iterative repair type after built. The other is that the function has the maximum state at a point which means one-repair after its repair would be delayed to a scheduled time. Second, the iterative repair pattern would include window, roof proof, lighting and water supply pipe. The other repair pattern would include the paintings, heating pipe and sign board.

Optimum Mean Value and Lower Limit under a Quadratic Loss Function (이차손실함수 하에서 최적 공정평균 및 규격하한)

  • Hong, Sung-Hoon;Choi, Sung-Il;Lim, Hoon;Pan, Jae-Suk
    • Journal of Korean Society for Quality Management
    • /
    • v.28 no.4
    • /
    • pp.194-203
    • /
    • 2000
  • This paper is concerned with an economic selection of both the process mean and the lower limit for a continuous production process with the quadratic loss function. It is assumed that the quality characteristic is normally distributed with a known variability. A profit model is developed which involves selling price, production cost, reprocessing cost and the cost which is incurred by imperfect quality. Methods of finding optimum values of the process mean and the lower limit are presented, and a numerical example is given.

  • PDF

Flexible Process Performance Measures by Quadratic Loss Function (이차손실함수를 이용한 유동적인 공정수행척도)

  • 정영배
    • Journal of Korean Society of Industrial and Systems Engineering
    • /
    • v.18 no.36
    • /
    • pp.275-285
    • /
    • 1995
  • In recent years there has been increasing interest in the issue of process centering in manufacturing process, The traditional process capability indices Cp, Cpk and Cpu are used to provide measure of process performance, but these indices do not represent the issue of process centering. A new measure of the process capability index Cpm is proposed that takes into account the proximity to the target value as well as the process variation when assessing process performance. However, Cpm only considers acceptance cost for deviation from target value within specification limits, do not includes economic consideration for rejected items. This paper proposes flexible process performance measures that considered quadratic loss function caused by quality deviation within specification limits, rejection cost associated with the disposition of rejected items, and inspection cost. In this model disposition of rejected items are considered under perfect corrective procedures and the absence of perfect corrective procedures.

  • PDF

A Study of Long-Term Generation Expansion Planning Using Nonlinear Invest Cost Function (비선형 투자비 함수를 이용한 장기 전원개발계획 수립에 관한 연구)

  • Kim, Joon-Hyun;Choi, In-Hong
    • Proceedings of the KIEE Conference
    • /
    • 1988.11a
    • /
    • pp.102-106
    • /
    • 1988
  • Generally, average invest cost is widely used for expansion planning of generation in power system. But, other cost which is followed by adding generating capacity in electric system is increased in accordance with increasing plant reasons. In this study, we represent the invest cost with quadratic function and analyze its effect on the expansion planning. It is hoped that this method is used in expansion planning of generating system.

  • PDF

Extraction of Shape Information of Cost Function Using Dynamic Encoding Algorithm for Searches(DEAS) (최적화기법인 DEAS를 이용한 비용함수의 형상정보 추출)

  • Kim, Jong-Wook;Park, Young-Su;Kim, Tae-Gyu;Kim, Sang-Woo
    • Journal of Institute of Control, Robotics and Systems
    • /
    • v.13 no.8
    • /
    • pp.790-797
    • /
    • 2007
  • This paper proposes a new measure of cost function ruggedness in local optimization with DEAS. DEAS is a computational optimization method developed since 2002 and has been applied to various engineering fields with success. Since DEAS is a recent optimization method which is rarely introduced in Korean, this paper first provides a brief overview and description of DEAS. In minimizing cost function with this non-gradient method, information on function shape measured automatically will enhance search capability. Considering the search strategies of DEAS are well designed with binary matrix structures, analysis of search behaviors will produce beneficial shape information. This paper deals with a simple quadratic function contained with various magnitudes of noise, and DEAS finds local minimum yielding ruggedness measure of given cost function. The proposed shape information will be directly used in improving DEAS performance in future work.

Construction of Modified Yield Loci with Respect to the Strain Rates using Hill48 Quadratic Yield Function (Hill48 이차 항복식을 이용한 변형률 속도에 따른 수정된 항복곡면의 구성)

  • Lee, Chang-Soo;Bae, Gi-Hyun;Kim, Seok-Bong;Huh, Hoon
    • Transactions of the Korean Society of Automotive Engineers
    • /
    • v.18 no.2
    • /
    • pp.56-60
    • /
    • 2010
  • Since the forming process involves the strain rate effect, a yield function considering the strain rate is indispensible to predict the accurate final blank shape in the forming simulation. One of the most widely used in the forming analysis is the Hill48 quadratic yield function due to its simplicity and low computing cost. In this paper, static and dynamic uni-axial tensile tests according to the loading direction have been carried out in order to measure the yield stress and the r-value. Based on the measured results, the Hill48 yield loci have been constructed, and their performance to describe the plastic anisotropy has been quantitatively evaluated. The Hill48 quadratic yield function has been modified using convex combination in order to achieve accurate approximation of anisotropy at the rolling and transverse direction.

A NONRANDOM VARIATIONAL APPROACH TO STOCHASTIC LINEAR QUADRATIC GAUSSIAN OPTIMIZATION INVOLVING FRACTIONAL NOISES (FLQG)

  • JUMARIE GUY
    • Journal of applied mathematics & informatics
    • /
    • v.19 no.1_2
    • /
    • pp.19-32
    • /
    • 2005
  • It is shown that the problem of minimizing (maximizing) a quadratic cost functional (quadratic gain functional) given the dynamics dx = (fx + gu)dt + hdb(t, a) where b(t, a) is a fractional Brownian motion of order a, 0 < 2a < 1, can be solved completely (and meaningfully!) by using the dynamical equations of the moments of x(t). The key is to use fractional Taylor's series to obtain a relation between differential and differential of fractional order.

Design optimization of reinforced concrete structures

  • Guerra, Andres;Kiousis, Panos D.
    • Computers and Concrete
    • /
    • v.3 no.5
    • /
    • pp.313-334
    • /
    • 2006
  • A novel formulation aiming to achieve optimal design of reinforced concrete (RC) structures is presented here. Optimal sizing and reinforcing for beam and column members in multi-bay and multistory RC structures incorporates optimal stiffness correlation among all structural members and results in cost savings over typical-practice design solutions. A Nonlinear Programming algorithm searches for a minimum cost solution that satisfies ACI 2005 code requirements for axial and flexural loads. Material and labor costs for forming and placing concrete and steel are incorporated as a function of member size using RS Means 2005 cost data. Successful implementation demonstrates the abilities and performance of MATLAB's (The Mathworks, Inc.) Sequential Quadratic Programming algorithm for the design optimization of RC structures. A number of examples are presented that demonstrate the ability of this formulation to achieve optimal designs.

LMP Calculation with Consideration of Transaction Strategy and Quadratic Congestion Cost Function (거래전략 및 Quadratic 혼잡비용을 고려한 LMP산정에 대한 연구)

  • Kim, Jae-Wook;Jung, Sung-Hun;Min, Kyung-Il;Moon, Young-Hyun
    • The Transactions of The Korean Institute of Electrical Engineers
    • /
    • v.60 no.2
    • /
    • pp.257-265
    • /
    • 2011
  • As the competitive market system has been introduced to the electrical power trade, the priority concern would be that the price of electrical power should be reasonable. It is because, when this rule is solid, we can avoid the distortion of competition and assure the greater efficiency in management. LMP(Locational Marginal Price) means marginal price at each bus. This components consist of energy, loss and congestion cost. At this point, the LMP result that is calculated by traditional model is changeable by the location of the slack and can not be used in bilateral Transaction. This paper proposed algorithm is proved its rationality and credibility by comparing the result of the simulation of virtual 6_bus system that is calculated by traditional method, and showed that the LMP components are changed according to the Transaction Strategy. Furthermore, It shows the effect of additional congestion cost on the transmission line that has bottle neck frequently by simulation.