• Title/Summary/Keyword: quadratic cost function

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Receding horizon predictive controls and generalized predictive controls with their equivalance and stability

  • Kwon, Wook-Hyun;Lee, Young-Il
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10b
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    • pp.49-55
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    • 1992
  • In this paper, we developed a Receding Horizon Predictive Control for Stochastic state space models(RHPCS). RHPCS was designed to minimize a quadratic cost function. RHPCS consists of Receding Horizon Tracking Control(RHTC) and a state observer. It was shown that RHPCS is equivalent to Generalized Predictive Control(GPC) when the underlying state space model is equivalent to the I/O model used in the design of GPC. The equivalence between GPC and RHPCS was shown through. the comparison of the transfer functions of the two controllers. RHPCS provides a time-invarient optimal control law for systems for which GPC can not be used. The stability properties of RHPCS was derived. From the GPC's equivalence to RHPCS, the stability properties of GPC were shown to be the same as those for RHTC.

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A Study on the Characteristics of Fast Distributed Power Control Schemes in Cellular Network under Dynamic Channel (셀룰러 네트워크의 동적채널에서 빠른 분산 전력 제어 기법의 특성에 대한 연구)

  • Lee, Young-Dae;Park, Hyun-Sook
    • The Journal of the Institute of Internet, Broadcasting and Communication
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    • v.8 no.2
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    • pp.49-55
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    • 2008
  • To address the convergence issue of power control algorithms, a number of algorithms have been developed hat shape the dynamics of up-link power control for cellular network. Power algorithms based on fixed point iterations can be accelerated by the use of various methods, one of the simplest being the use of Newton iterations, however, this method has the disadvantage which not only needs derivatives of the cost function but also may be weak to noisy environment. we showed performance of the power control schemes to solve the fixed point problem under static or stationary channel. They proved goof performance to solve the fixed point problem due to their predictor based optimal control and quadratic convergence rate. Here, we apply the proposed power control schemes to the problem of the dynamic channel or to dynamic time varying link gains. The rigorous simulation results demonstrated the validity of our approach.

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A Computation Method of B-coefficient With Static Voltage Dependent Load Model (정적 전압의존형 부하모델을 적용한 B계수 산정법)

  • Lee, Myung-Hwan;Chae, Myung-Suk;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
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    • 1997.11a
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    • pp.218-220
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    • 1997
  • In power system, economic dispatch problem is to minimize fuel cost with inequality constraints of generator output. To solve this problem it is very important to express power loss equation that have Quadratic function of generator power included B-coefficient. This paper presents a method in determining B-coefficient by use A-matrix that is calculated by power flow considering voltage dependent static load model. The proposed algorithm is tested with IEEE 6 bus sample system, which shows the result in each cases by the change of load component factor.

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A Study on the Performance Improvement of Two-degree of Freedom PI Controller using $H_{\infty}$ Technique ($H_{\infty}$ 기법을 이용한 2자유도 PI 제어기 성능개선에 관한 연구)

  • Cho, Yong-Seok;Park, Ki-Heon
    • Proceedings of the KIEE Conference
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    • 1995.11a
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    • pp.199-202
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    • 1995
  • In the conventional $H_2$ design of PI controllers, the quadratic cost function includes only the plant output term and hence, the optimal controller often results in a very large plant input. In this paper, $H_{\infty}$ design methodology is combined with the conventional $H_2$ design to make a trade-off between the regulation of the plant input and the plant output in a systematic way.

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A Controller Design of Bilinear Systems via Iterative Method (반복법에 의한 쌍선형 시스템의 제어기 설계)

  • 이돈구;김주식;이상혁
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.17 no.5
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    • pp.88-93
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    • 2003
  • This paper presents a controller design method of bilinear systems via iterative method. The iterative procedure with auxiliary sequences is defined in the process of constructing coupled linear time varying systems from bilinear systems. To design the feedback controller for bilinear systems with quadratic cost function, an optimization procedure is given by the representation closely related to the Riccati approach. In the simulation results, it is shown that the suggested method accomplishes the improved performance and good convergence.

Head Slider Designs Using Approximation Methods

  • Yoon, Sang-Joon;Park, Dong-Hoon
    • Journal of Mechanical Science and Technology
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    • v.18 no.1
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    • pp.37-44
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    • 2004
  • This paper presents an approach to optimally design the air bearing surface (ABS) of the head slider by using the approximation methods. The reduced basis concept is used to reduce the number of design variables. In the numerical calculation, the progressive quadratic response surface modeling (PQRSM) is used to handle the non-smooth and discontinuous cost function. A multi-criteria optimization problem is formulated to enhance the flying performances over the entire recording band during the steady state and track seek operations. The optimal solutions of the sliders, whose target flying heights are 12 nm and 9 nm, are automatically obtained. The flying heights during the steady state operation become closer to the target values and the flying height variations during the track seek operation are smaller than those for the initial one. The pitch and roll angles are also kept within suitable ranges over the recording band.

Tolerance Analysis and Design Improvement of a Lens System for Mobile Phone Camera (휴대폰용 카메라 모듈의 렌즈 시스템에 대한 공차 해석 및 설계 개선에 관한 연구)

  • Jung, Sang-Jin;Choi, Byung-Lyul;Choi, Dong-Hoon;Kim, Ju-Ho
    • Proceedings of the KSME Conference
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    • 2008.11a
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    • pp.1063-1068
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    • 2008
  • A lens system of a camera module for mobile phones is comprised of the composition and design of various shapes of lens. To improve responses such as the modular transfer function (MTF), a lens system should always be constructed by considering uncertainty that can be caused by manufacturing and assembly error. In this study, tolerance optimization using the Latin Hypercube Sampling (LHS) technique is performed. In order to reduce the computational burden of the tolerance optimization process and decrease the influence from numerical noise effectively, we use the Progressive Quadratic Response Surface Modeling (PQRSM), which is one of Sequential Approximate Optimization (SAO) techniques. Using this method, we achieved optimal tolerance for each lens and obtained reliability for satisfying user‘s requirements. In addition, through the design process the manufacturing and assembly cost of a lens system was reduced.

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Design of an Active Damping Layer Using Topology Optimization (위상 최적화를 이용한 능동 감쇠층의 설계)

  • 김태우;김지환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2003.11a
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    • pp.660-664
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    • 2003
  • The optimal thickness distribution of an active damping layer is sought so that it satisfies a certain constraint on the dynamic performance of a system minimizing control efforts. To obtain a topologically optimized configuration, which includes size and shape optimization, thickness of the active damping layer is interpolated using linear functions. With the control energy as the objective function to be minimized, the state error energy is introduced as the dynamic performance criterion for the system and used lot a constraint. The optimal control gains are evaluated from LQR simultaneously as the optimization of the layer position proceeds. From numerical simulation, the topologically optimized distribution of the active damping layer shows the same dynamic performance and cost as the Idly covered counterpart, which is optimized only in terms of control gains, with less amount of the layer.

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A Decentralized Approach to Power System Stabilization by Artificial Neural Network Based Receding Horizon Optimal Control (이동구간 최적 제어에 의한 전력계통 안정화의 분산제어 접근 방법)

  • Choi, Myeon-Song
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.7
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    • pp.815-823
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    • 1999
  • This study considers an implementation of artificial neural networks to the receding horizon optimal control and is applications to power systems. The Generalized Backpropagation-Through-Time (GBTT) algorithm is presented to deal with a quadratic cost function defined in a finite-time horizon. A decentralized approach is used to control the complex global system with simpler local controllers that need only local information. A Neural network based Receding horizon Optimal Control (NROC) 1aw is derived for the local nonlinear systems. The proposed NROC scheme is implemented with two artificial neural networks, Identification Neural Network (IDNN) and Optimal Control Neural Network (OCNN). The proposed NROC is applied to a power system to improve the damping of the low-frequency oscillation. The simulation results show that the NROC based power system stabilizer performs well with good damping for different loading conditions and fault types.

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An Economic Selective Assembly Procedure for Two Mating Components (짝이 되는 두 부품의 경제적 선택조립 절차)

  • 권혁무;김광재
    • Journal of the Korean Operations Research and Management Science Society
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    • v.24 no.1
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    • pp.39-48
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    • 1999
  • An economic procedure of selective assembly is proposed when a product is composed of two mating components. The major qualify characteristic of the product is the clearance between the two components. The components are divided into several classes prior to assembly. The component characteristics are assumed to be independently and normally distributed with equal variance. The procedure is designed so that the proportions of both components in their corresponding classes are the same. A cost model is developed based on a quadratic loss function and methods of obtaining the optimal class limits as well as the optimal number of classes are provided. Formulas for obtaining the proportion of rejection and the unavailability of mating components are also provided. The proposed model is compared with the equal width and the equal area partitioning methods using a numerical example.

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