• 제목/요약/키워드: a discrete-time model

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Model Reference Adaptive Control Using Non-Euclidean Gradient Descent

  • Lee, Sang-Heon;Robert Mahony;Kim, Il-Soo
    • Transactions on Control, Automation and Systems Engineering
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    • 제4권4호
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    • pp.330-340
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    • 2002
  • In this Paper. a non-linear approach to a design of model reference adaptive control is presented. The approach is demonstrated by a case study of a simple single-pole and no zero, linear, discrete-time plant. The essence of the idea is to generate a full non-linear model of the plant dynamics and the parameter adaptation dynamics as a gradient descent algorithm with respect to a Riemannian metric. It is shown how a Riemannian metric can be chosen so that the modelled plant dynamics do in fact match the true plant dynamics. The performance of the proposed scheme is compared to a traditional model reference adaptive control scheme using the classical sensitivity derivatives (Euclidean gradients) for the descent algorithm.

이산형 동적 물류시스템에서 물류센터의 위치 (Location of the Distribution Centers in a Discrete Dynamic Distribution System)

  • 장석화
    • 산업경영시스템학회지
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    • 제31권2호
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    • pp.19-27
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    • 2008
  • This paper addresses determining the location of the distribution centers in a discrete dynamic distribution system. In discrete and finite time horizon, the demands of retailers are dynamic for the periods. Some locations among the retailers can be chosen for the role of the distribution centers at the beginning of each period. The distribution centers have to be located at the location of minimizing logistics cost. Logistics cost factors are the operation cost and the fixed cost of distribution center, and the transportation cost. The distribution centers of minimizing sum of operation cost, fixed cost and transportation cost are determined among retailers in each period for the planning period. A mathematical model was formulated and a dynamic programming based algorithm was developed. A numerical example was shown to explain our problem.

이산 시각 대기 행렬 모형의 정보 신선도 (Age of Information for Discrete Time Queueing Model)

  • Yutae, Lee
    • 한국정보통신학회논문지
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    • 제27권1호
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    • pp.131-134
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    • 2023
  • The age of information (AoI) was proposed to quantify the freshness of information about the status of a remote source system, which is defined as the amount of time that has elapsed since a packet was created at its source. This paper analyzes the age of information of a discrete time Geo/D/1/1 status update system. For this purpose, the system is modeled as a discrete-time two-state Markov chain. The stationary probability distributions for peak AoI and AoI are obtained. The average peak AoI, the average AoI, and the freshness ratio of information are also derived. Some numerical results of the analysis are presented.

PPGA 기반의 시스템 파라미터 추정과 PID 제어기 동조 (System Parameter Estimation and PID Controller Tuning Based on PPGAs)

  • 신명호;김민정;이윤형;소명옥;진강규
    • 제어로봇시스템학회논문지
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    • 제12권7호
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    • pp.644-649
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    • 2006
  • In this paper, a methodology for estimating the model parameters of a discrete-time system and tuning a digital PID controller based on the estimated model and a genetic algorithm is presented. To deal with optimization problems regarding parameter estimation and controller tuning, pseudo-parallel genetic algorithms(PPGAs) are used. The parameters of a discrete-time system are estimated using both the model adjustment technique and a PPGA. The digital PID controller is described by the pulse transfer function and then its three gains are tuned based on both the model reference technique and another PPGA. A set of experimental works on two processes are carried out to illustrate the performance of the proposed method.

A Raid-Type War-Game Model Based on a Discrete Multi-Weapon Lanchester's Law

  • Baik, Seung-Won
    • Management Science and Financial Engineering
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    • 제19권2호
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    • pp.31-36
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    • 2013
  • We propose a war-game model that is appropriate for a raid-type warfare in which, a priori, the maneuver of the attacker is relatively certain. The model is based on a multi-weapon extention of the Lanchester's law. Instead of a continuous time dynamic game with the differential equations from the Lanchester's law, however, we adopt a multi-period model relying on a time-discretization of the Lanchester's law. Despite the obvious limitation that two players make a move only on the discrete time epochs, the pragmatic model has a manifold justification. The existence of an equilibrium is readily established by its equivalence to a finite zero-sum game, the existence of whose equilibrium is, in turn, well-known to be no other than the LP-duality. It implies then that the war-game model dictates optimal strategies for both players under the assumption that any strategy choice of each player will be responded by a best strategy of her opponent. The model, therefore, provides a sound ground for finding an efficient reinforcement of a defense system that guarantees peaceful equilibria.

망막 외망층의 국부회로에 대한 신경망 모델 및 컴퓨터 모의실험 (Neural Network Modelling and Computer Simulation of the Local Circuits of the Outer Plexiform Layer in a Vertebrate Retina)

  • 이일병
    • 대한의용생체공학회:의공학회지
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    • 제9권1호
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    • pp.17-24
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    • 1988
  • This paper describes a neural network modelling of a vertebrate retina using a discrete-time and discrete-space approach based on neuro-anatomical data, and the computer simulations of the model which approximate the frog/amphibian negro-physiological data. It then compares them and describes how such a model can be beneficially used for confirming the hypothesis of a given neural system and further predict yet unknown experimental data.

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전력부하의 확률가정적 최적예상식의 유도 및 전산프로그래밍에 관한 연구 (Study on a Probabilistic Load Forecasting Formula and Its Algorithm)

  • 고명삼
    • 전기의세계
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    • 제22권2호
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    • pp.28-32
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    • 1973
  • System modeling is applied in developing a probabilistic linear estimator for the load of an electric power system for the purpose of short term load forecasting. The model assumer that the load in given by the suns of a periodic discrete time serier with a period of 24 hour and a residual term such that the output of a discrete time dynamical linear system driven by a white random process and a deterministic input. And also we have established the main forecasting algorithms, which are essemtally the Kalman filter-predictor equations.

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하이브리드 시스템을 위한 모델 및 제어기 설계 (Modelling and controller design for hybrid system)

  • 박홍성
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1993년도 한국자동제어학술회의논문집(국내학술편); Seoul National University, Seoul; 20-22 Oct. 1993
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    • pp.348-352
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    • 1993
  • A hybrid system contains both continuous variables and discrete event components. This paper presents the new control architecture for hybrid systems, which consists of a conventional controller for the continuous-time variable of the system, a supervisor for discrete event components of the system, and an interface for link between the controller and the plant. The presented controller is suitable for the system operating at the different operating conditions or for system being changing the plant model by enabling and disabling discrete events. This paper shows that the presented controller is better than the conventional controller.

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POSTERIOR COMPUTATION OF SURVIVAL MODEL WITH DISCRETE APPROXIMATION

  • Lee, Jae-Yong;Kwon, Yong-Chan
    • Journal of the Korean Statistical Society
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    • 제36권2호
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    • pp.321-333
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    • 2007
  • In the proportional hazard model with the beta process prior, the posterior computation with the discrete approximation is considered. The time period of interest is partitioned by small intervals. On each partitioning interval, the likelihood is approximated by that of a binomial experiment and the beta process prior is by a beta distribution. Consequently, the posterior is approximated by that of many independent binomial model with beta priors. The analysis of the leukemia remission data is given as an example. It is illustrated that the length of the partitioning interval affects the posterior and one needs to be careful in choosing it.

직접법에 의한 이산시간 기준모델 적응제어 시스템 설계에 관한 연구 (A Design of Discrete-Time Model Reference Adaptive Control System by Direct Method)

  • 김성덕
    • 한국통신학회논문지
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    • 제10권5호
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    • pp.258-265
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    • 1985
  • 이 論文은 SISO 離散時間 基準모델 適應制御시스템에 대한 設計問題를 다루었다. 基準모델과 未知시스템의 入·出力端에 狀態變數필터를 도입하므로서, 可用信號들로 구성된 아주 간단한 適應시스템을 구성할 수 있다. 未知시스템의 相對次數가 1 또는 2 이상인 경우의 設計法은 多數 발표되었으나, 構造가 매우 복잡하거나 設計理論이 일반화하지 못하였다. 본 論文에서는 相對次數가 2이상인 경우에 간단한 線型필터를 도입하므로서 適應構造를 간단히 구성할 수 있음을 證明하였다.

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