• Title/Summary/Keyword: Optimal order

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Design of Optimal Controller for the Congestion in ATM Networks (ATM망의 체증을 해결하기 위한 최적 제어기 설계)

  • Jung Woo-Chae;Kim Young-Joong;Lim Myo-Taeg
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.54 no.6
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    • pp.359-365
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    • 2005
  • This paper presents an reduced-order near-optimal controller for the congestion control of Available Bit Rate (ABR) service in Asynchronous Transfer Mode (ATM) networks. We introduce the model, of a class of ABR traffic, that can be controlled using a Explicit Rate feedback for congestion control in ATM networks. Since there are great computational complexities in the class of optimal control problem for the ABR model, the near-optimal controller via reduced-order technique is applied to this model. It is implemented by the help of weakly coupling and singular perturbation theory, and we use bilinear transformation because of its computational convenience. Since the bilinear transformation can convert discrete Riccati equation into continuous Riccati equation, the design problems of optimal congestion control can be reduced. Using weakly coupling and singular perturbation theory, the computation time of Riccati equations can be saved, moreover the real-time congestion control for ATM networks can be possible.

Theory of optimal second-order PMD compensation (최적의 2차 편광모드분산 보상에 관한 이론적 고찰)

  • 김상인
    • Korean Journal of Optics and Photonics
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    • v.14 no.6
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    • pp.583-587
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    • 2003
  • In this paper, the optimal performance of optical second-order polarization mode dispersion (PMD) compensation has been investigated theoretically in terms of minimization of the root-mean-square (RMS) pulse broadening. The optimal compensation vector in feedforward-type second-order PMD compensation has been derived, and the RMS pulse broadening factor after the optimal second-order PMD compensation has been analytically calculated. The calculated result has been compared with the previously reported simulation result where numerically optimized feedback scheme was adopted. They are in good agreement, which verifies the validity of the derivation. The investigation in this work will form the basis for the implementation of the feed-forward-type second-order PMD compensation.

Robust Optimal Design Method Using Two-Point Diagonal Quadratic Approximation and Statistical Constraints (이점 대각 이차 근사화 기법과 통계적 제한조건을 적용한 강건 최적설계 기법)

  • Kwon, Yong-Sam;Kim, Min-Soo;Kim, Jong-Rip;Choi, Dong-Hoon
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.12
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    • pp.2483-2491
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    • 2002
  • This study presents an efficient method for robust optimal design. In order to avoid the excessive evaluations of the exact performance functions, two-point diagonal quadratic approximation method is employed for approximating them during optimization process. This approximation method is one of the two point approximation methods. Therefore, the second order sensitivity information of the approximated performance functions are calculated by an analytical method. As a result, this enables one to avoid the expensive evaluations of the exact $2^{nd}$ derivatives of the performance functions unlike the conventional robust optimal design methods based on the gradient information. Finally, in order to show the numerical performance of the proposed method, one mathematical problem and two mechanical design problems are solved and their results are compared with those of the conventional methods.

Robust Near Time-optimal Controller Design for a Driving System Using Lyapunov Stability (Lyapunov 안정성을 이용한 구동장치의 강인 최단시간 제어기 설계)

  • Lee, Seong-Woo;Song, Oh-Seop
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.22 no.7
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    • pp.650-658
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    • 2012
  • This paper proposes a high performance position controller for a driving system using a time optimal controller which has been widely used to control driving systems to achieve desired reference position or velocity in a minimum response time. The main purpose of this research lies in an improvement of transient response performance rather than that of steady-state response in comparison with other control strategies. In order to refine the scheme of time optimal control, Lyapunov stability proofs are incorporated in a controller of standard second order system model. This scheme is applied to the control of a driving system. In view of the simulation and experiment results, the standard second order system model exhibits better minimum-time control performance and robustness than double integral system model does.

A New Loop Shaping Method for Design of Robust Optimal PID Controller (강인한 최적 PID 제어기 설계를 위한 새로운 루프 형성 기법)

  • 윤성오;서병설
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.11C
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    • pp.1062-1069
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    • 2003
  • This paper presents a new loop shaping technique for design of robust optimal PID controllers in order to satisfy the performance requirements. PID controller can be designed by selecting the suitable weighting factors Q and R. This technique is developed by pushing all two zeros formed by PID controller closely to a larger pole of the second order plant. As a result, a good loop shaping is achieved in the high frequencies region on the Bode plot. For the robust optimal tuning of PID controller for second order system, a new loop shaping procedure is developed via LQR approach.

ANALYSIS OF FIRST-ORDER SYSTEM LEAST-SQUARES FOR THE OPTIMAL CONTROL PROBLEMS FOR THE NAVIER-STOKES EQUATIONS

  • Choi, Young-Mi;Kim, Sang-Dong;Lee, Hyung-Chun;Shin, Byeong-Chun
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.11 no.4
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    • pp.55-68
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    • 2007
  • First-order least-squares method of a distributed optimal control problem for the incompressible Navier-Stokes equations is considered. An optimality system for the optimal solution are reformulated to the equivalent first-order system by introducing velocity-flux variables and then the least-squares functional corresponding to the system is defined in terms of the sum of the squared $L^2$ norm of the residual equations of the system. The optimal error estimates for least-squares finite element approximations are obtained.

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A Study of Time Optimal Control for Nonlinear Sampled-data Contral Systems (비선형이산치계의 최적시간제어에 관한 연구)

  • Hee young Chun
    • 전기의세계
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    • v.26 no.2
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    • pp.84-88
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    • 1977
  • In this paper we apply the maximum principle to design of time optimal nonlinear sampled-data control systems. We introduce the general design procedures and the mathematical formalas for time optimal processes and trajectories. Then we show the application of the technique to determine the optimal control signal, control sequence, switching time and sampling period to the given 4th order process.

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A SIXTH-ORDER OPTIMAL COLLOCATION METHOD FOR ELLIPTIC PROBLEMS

  • Hong, Bum-Il;Ha, Sung-Nam;Hahm, Nahm-Woo
    • Journal of applied mathematics & informatics
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    • v.6 no.2
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    • pp.513-522
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    • 1999
  • In this paper we present a collocation method based on biquintic splines for a fourth order elliptic problems. To have a better accuracy we formulate the standard collocation method by an appro-priate perturbation on the original differential equations that leads to an optimal approximating scheme. As a result computational results confirm that this method is optimal.

A Study on Optimal Clock Period Selection Algorithm for Low Power RTL Design (저전력 RTL 설계를 위한 최적 클럭 주기 선택 알고리듬에 관한 연구)

  • 최지영;변상준;김희석
    • Proceedings of the IEEK Conference
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    • 2003.07b
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    • pp.1157-1160
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    • 2003
  • We proposed a study on optimal clock period selection algorithm for low power RTL design. The proposed algorithm use the way of maintaining the throughput by reducing supply voltage after improve the system performance in order to minimize the power consumption. In this paper, it select the low power to use pipeline in the transformation of architecture. Also, the algorithm is important the clock period selection in order to maximize the resource sharing. however, it execute the optimal clock period selection algorithm.

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A Design Method for Weighted Order Statistic Filters Based on the Perceotron Algorithm (Perceptron 알고리즘을 이용한 가중 순서 통게 필터의 설계)

  • 정병장;이용훈
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.30B no.6
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    • pp.1-6
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    • 1993
  • In this paper, we observe that the design of optimal weighted order statistic(WOS) filters minimizing the mean absolute error criterion can be though of as a two-class linear classification problem. Based on this observation, the perceptron algorithm is applied to design WOS filters. It is shown, through experiments, that the perceptron algorithm can find optimal or near optimal WOS filters in practical situations.

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