• Title/Summary/Keyword: Discrete System

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ON CONSTANT-SIGN SOLUTIONS OF A SYSTEM OF DISCRETE EQUATIONS

  • Agarwal, Ravi-P.;O'Regan, Donal;Wong, Patricia-J.Y.
    • Journal of applied mathematics & informatics
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    • v.14 no.1_2
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    • pp.1-37
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    • 2004
  • We consider the following system of discrete equations $u_i(\kappa)\;=\;{\Sigma{N}{\ell=0}}g_i({\kappa},\;{\ell})f_i(\ell,\;u_1(\ell),\;u_2(\ell),\;{\cdots}\;,\;u_n(\ell)),\;{\kappa}\;{\in}\;\{0,\;1,\;{\cdots}\;,\;T\},\;1\;{\leq}\;i\;{\leq}\;n\;where\;T\;{\geq}\;N\;>\;0,\;1\;{\leq}i\;{\leq}\;n$. Existence criteria for single, double and multiple constant-sign solutions of the system are established. To illustrate the generality of the results obtained, we include applications to several well known boundary value problems. The above system is also extended to that on $\{0,\;1,\;{\cdots}\;\}\;u_i(\kappa)\;=\;{\Sigma{\infty}{\ell=0}}g_i({\kappa},\;{\ell})f_i(\ell,\;u_1(\ell),\;u_2(\ell),\;\cdots\;,\;u_n(\ell)),\;{\kappa}\;{\in}\;\{0,\;1,\;{\cdots}\;\},\;1\;{\leq}\;i\;{\leq}\;n$ for which the existence of constant-sign solutions is investigated.

The Sampled-Data $H_{\infty}$ Problem: Obtaining an equivalent discrete-time system via a closed-loop expression of worst-case disturbance (샘플치 $H_{\infty}$ 문제: 최악의 외란의 폐경로 표현을 통한 등가의 이산시간 시스템 구현)

  • 공민종;조창호;이상철;조도현;이상효
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.340-340
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    • 2000
  • This paper aims at deriving an equivalent finite dimensional discrete-time system for H$_{\infty}$ type problem for sampled-data control systems. A widely used ph is based on the lifting technique, but it needs somewhat complicate computation. Instead this paper derives an equivalent finite-dimensional discrete-time system directly from a description of the sampled-data system which is achieved via a closed-loop expression of the worst-case intersample disturbance.

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System Design Using Discrete Event Simulation (이산사건 시뮬레이션을 사용한 시스템의 설계)

  • 이영해
    • Proceedings of the Korea Society for Simulation Conference
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    • 1998.03a
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    • pp.50-55
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    • 1998
  • In this paper we use discrete simulation method to get the criteria of system evaluation required in the case of designing the complicated probabilistic event system having discrete probabilistic variables and to search the effective and reliable alternatives to satisfy the objective value of the given system through on-line, single run within the short time period. If we find the alternative we construct the algorithm which change values of decision variables and determining alternative by using the stopping algorithm which end the simulation in the steady state of system. In order to prevent the loss of data when we analyze the acquired design alternative in the steady state we provide the background of the estimation of the autoregressive model and mean and confidence interval for evaluating correctly the objective function obtained by the small amount of output data through the short time period simulation.

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Digital Speed Regulator System Design for a Permanent Magnet Synchronous Motor

  • Choi, Han-Ho;Jung, Jin-Woo;Kim, Tae-Heoung
    • Journal of Electrical Engineering and Technology
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    • v.7 no.6
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    • pp.911-917
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    • 2012
  • In this paper, a digital speed regulator system design method is developed for a permanent magnet synchronous motor (PMSM). Firstly, an accurate approximate discrete-time model is proposed for a PMSM considering its inherent nonlinearities. Based on the discrete-time model, a digital acceleration observer as well as a digital speed regulator is designed. The exponential stability of the augmented control system is analyzed. The proposed digital speed regulator system is implemented by using a TMS320F28335 floating point DSP. Simulation and experimental results are given to verify the effectiveness of the proposed method.

A Quantitative Model of System-Man Interaction Based on Discrete Function Theory

  • Kim, Man-Cheol;Seong, Poong-Hyun
    • Nuclear Engineering and Technology
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    • v.36 no.5
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    • pp.430-449
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    • 2004
  • A quantitative model for a control system that integrates human operators, systems, and their interactions is developed based on discrete functions. After identifying the major entities and the key factors that are important to each entity in the control system, a quantitative analysis to estimate the recovery failure probability from an abnormal state is performed. A numerical analysis based on assumed values of related variables shows that this model produces reasonable results. The concept of 'relative sensitivity' is introduced to identify the major factors affecting the reliability of the control system. The analysis shows that the hardware factor and the design factor of the instrumentation system have the highest relative sensitivities in this model. T도 probability of human operators performing incorrect actions, along with factors related to human operators, are also found to have high relative sensitivities. This model is applied to an analysis of the TMI-2 nuclear power plant accident and systematically explains how the accident took place.

Walking Algorithm of Biped Robots using Hybrid System Approach (하이브리드 시스템 방법을 이용한 이족보행 로봇의 보행 알고리즘)

  • Chu, Jung-Hyun;Lim, Mee-Seub;Lim, Joon-Hong
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.249-251
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    • 2005
  • For walking patterns of biped robots, knee-bent patterns are used in most cases. However, humans are mostly walking with their knees nearly stretched. In this paper, a human-like walking algorithm using hybrid system is proposed for biped robots, The hybrid system consists of the logically constituted discrete system, in which the discrete states are defined by considering the walking characteristics, and the continuous state system used for motor control. It is shown that the proposed algorithm is effective by experimental studies.

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Identification of nonlinear discrete systems in the time domain (시간 영역에서의 비선형 이산계 식별)

  • 최종호
    • 전기의세계
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    • v.29 no.11
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    • pp.742-750
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    • 1980
  • The problem of nonlinear time-invariant system identification by estimation of Wiener kernels is studied for discrete time systems with inputs having symmetric probability distributions. G-functionals are constructed. It is further shown that under idealized conditions, these seemingly different techniques yield the same results. The results of identification of asimulated second degree system is presented.

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A learning control algorithm for the linear discrete system (선형 이산 시스템의 학습제어 알고리즘)

  • 박희재;조형석;현봉섭
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.326-331
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    • 1988
  • In this paper, an iterative leaning control algorithm for the linear discrete system is proposed. Based upon the parameter estimation method, the learning for good tracking control is acqured through a sequence of repetitive operations. A series of simulation are performed to show the validity of this algorithm.

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Hierarchical optimal control of decentralized discrete-time system for process automation (분산 이산시간 시스템의 공정 자동화를 위한 계층적 최적제어)

  • 김현기;전기준
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.209-213
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    • 1987
  • This paper presents decentralized discrete-time system which is optimized by hierarchical control for process automation via the extended interaction balance method. This proposed method can control general matrix which input matrix is not block diagonalization. Also, this paper shows convergence condition of proposed method.

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Analysis of Discrete-Time Geo/G/1 Queues under Workload Control and Multiple Vacations (일량제어정책과 복수휴가를 갖는 이산시간 Geo/G/1 대기행렬의 분석)

  • Lee, Se Won
    • Journal of Korea Society of Industrial Information Systems
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    • v.23 no.2
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    • pp.29-39
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    • 2018
  • In this paper, we discuss a discrete-time queueing system with dyadic server control policy that combines workload control and multiple vacations. Customers arrive at the system with Bernoulli arrival process. If there is no customer to serve in the system, an idle single server spends a vacation of discrete random variable V and returns. The server repeats the vacation until the total service time of waiting customers exceeds the predetermined workload threshold D. In this paper, we derived the steady-state workload distribution of a discrete-time queueing system which is operating under a more realistic and flexible server control policy. Mean workload is also derived as a performance measure. The results are basis for the analysis of system performance measures such as queue lengths, waiting time, and sojourn time.