• Title/Summary/Keyword: Time-varying Delay

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Real-time Distributed Control in Virtual Device Network with Uncertain Time Delay for Predictive Maintenance (PM) (가상 디바이스 네트워크상에서 불확실한 시간지연을 갖는 실시간 분산제어를 이용한 예지보전에 관한 연구)

  • Kiwon Song;Gi-Heung Choi
    • Journal of the Korean Society of Safety
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    • v.18 no.3
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    • pp.154-160
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    • 2003
  • Uncertain time delay happens when the process reads the sensor data and sends the control input to the plant located at a remote site in distributed control system. As in the case of data network using TCP/IP, VDN that integrates both device network and data network has uncertain time delay. Uncertain time delay can cause degradation in performance and stability of distributed control system based on VDN. This paper first investigates the transmission characteristic of VDN and suggests a control scheme based on the Smith's predictor to minimize the effect of uncertain varying time delay. The validity of the proposed control scheme is demonstrated with real-time velocity control of DC servo motor located in remote site.

Delay-dependent Guaranteed Cost Control for Uncertain Time Delay System

  • Lee, In-Beum;Choi, Jin-Young
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.62.4-62
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    • 2001
  • In this paper, we propose a delay-dependent guaranteed cost controller design method for uncertain linear systems with time delay. The uncertainty is norm bounded and time-varying. A quadratic cost function is considered as the performance measure for the given system. Based on the Lyapunov method, sufficient condition, which guarantees that the closed-loop system is asymptotically stable and the upper bound value of the closed-loop cost function is not more than a specied one, is derived in terms of Linear Matrix Inequalities(LMIs) that can be solved sufficiently. A convex optimization problem can be formulated to design a guaranteed cost controller, which minimizes the upper bound value of the cost function. Numerical examples show the activeness of the proposed method.

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Robust stability for discrete time-delay systems with perturbations (섭동을 가지는 이산 시간지연 시스템의 강인 안정성)

  • Park, Ju-Hyeon;Won, Sang-Cheol
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.3
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    • pp.158-164
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    • 1996
  • In this paper, we consider the problem of robust stability of discretd time-delay systems subjected to perturbations. Two classes of perturbations are treated. The first one is the nonlinear norm-bounded perturbation, and the second is the structured time-varying parametric perturbation. Based on the discrete-time Lyapunov stability theory, several new sufficient conditions for robust stability of the system are presented. From these conditions, we can estimate the maximum allowable bounds of the perturbations which guarantee the stability. Finally, numerical examples are given to demonstrate the effectiveness of the results.

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On-Line Identification Algorithm for Unknown Linear MIMO Systems (미지의 선형 MIMO 시스템에 대한 On-Line 모델링 알고리즘)

  • 최수일;김병국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.7
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    • pp.58-65
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    • 1994
  • A recursive on-line algorithm for orthogonal ARMA identification is proposed for linear MIMO systems with unknown parameters time delay and order. This algorithm is based on the Gram-Schmidt orthogonalization of basis functions, and extended to a recursiveform by using new functions of two dimensional autocorrelations and crosscorrelations of inputs and outputs. This proposed algorithm can also cope with slowly time-varying or order-varying systems. Various simulations reveal the performance of the algorithm.

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On-line identification algorithm for unknown linear MIMO systems (미지의 선형 MIMO 시스템에 대한 On-line 모델링 알고리즘)

  • 최수일;김병국
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.58-63
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    • 1993
  • A recursive on-line algorithm with orthogonal ARMA identification is proposed for linear MIMO systems with unknown parameters, time delay, and order. This algorithm is based on the Gram-Schmidt orthogonalization of basis functions, and extended to a recursive form by using new functions of two dimensional autocorrelations and cross-correlations of inputs and outputs. The proposed algorithm can also cope with slowly time-varying or order-varying systems. Various simulations reveal the performance of the algorithm.

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On-Line Identification Algorithm of Unknown Linear Systems (미지의 선형 시스템에 대한 On-Line 모델링 알고리즘)

  • 최수일;김병국
    • Journal of the Korean Institute of Telematics and Electronics B
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    • v.31B no.4
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    • pp.48-54
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    • 1994
  • A recursive on-line algorithm with orthogonal ARMA identification is proposed for linear systems with unkonwn time delay, order, and parameters. The algorithm is based on the Gram-Schmidt orthogonalization of basis functions, and extendedto recursive form by using two dimensional autocorrelations and crosscorrelations of input and output with constant data length. The proposed algorith can cope with slowly time-varying or order-varying delayed system. Various simulations reveal the performance of the algorithm.

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Robust Delay-dependent Stability Criterion for Uncertain Networked Control System (불확실성이 존재하는 네트워크 제어시스템의 강인 지연의존 안정성 판별법)

  • Park, Myeongjin;Kwon, Ohmin;Park, Ju H.
    • IEMEK Journal of Embedded Systems and Applications
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    • v.4 no.2
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    • pp.97-102
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    • 2009
  • In this paper, the problem of stability analysis for networked control systems with norm-bounded parameter uncertainties is investigated. By construction Lyapunov's functional, a new delay-dependent stability criterion for uncertain networked control system is established in terms of LMIs (linear matrix inequalities) which can be easily by various convex optimization algorithms. One numerical example is included to show the effectiveness of proposed criterion.

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STEPANOV ALMOST PERIODIC SOLUTIONS OF CLIFFORD-VALUED NEURAL NETWORKS

  • Lee, Hyun Mork
    • Journal of the Chungcheong Mathematical Society
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    • v.35 no.1
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    • pp.39-52
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    • 2022
  • We introduce Clifford-valued neural networks with leakage delays. Furthermore, we study the uniqueness and existence of Clifford-valued Hopfield artificial neural networks having the Stepanov weighted pseudo almost periodic forcing terms on leakage delay terms. However the noncommutativity of the Clifford numbers' multiplication made our investigation diffcult, so our results are obtained by decomposing Clifford-valued neural networks into real-valued neural networks. Our analysis is based on the differential inequality techniques and the Banach contraction mapping principle.

Delay Analysis of Selective Repeat ARQ for a Markovian Source Over a Wireless Channel (무선 채널에서의 Selective Repeat ARQ 프로토콜의 Delay 성능 분석)

  • Kim Jeong Geun;Kim Young Soo;Lee Kyesan
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.11B
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    • pp.930-937
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    • 2004
  • In this paper, we analyze the delay performance for a Markovian source transported over a wireless channel with time-varying error characteristics. To improve the reliability of the channel, the end points of the wireless link implement a selective-repeat (SR) ARQ error control protocol. We provide an approximate discrete-time analysis of the end-to-end mean packet delay, which consists of transport and resequencing delays. Numerical results and simulations indicate that our approximate analysis is sufficiently accurate for a wide range of parameter values.

A Delay-Dependent Approach to Robust Filtering for LPV Systems with Discrete and Distributed Delays using PPDQ Functions

  • Karimi Hamid Reza;Lohmann Boris;Buskens Christof
    • International Journal of Control, Automation, and Systems
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    • v.5 no.2
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    • pp.170-183
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    • 2007
  • This paper presents a delay-dependent approach to robust filtering for linear parameter-varying (LPV) systems with discrete and distributed time-invariant delays in the states and outputs. It is assumed that the state-space matrices affinely depend on parameters that are measurable in real-time. Some new parameter-dependent delay-dependent stability conditions are established in terms of linear matrix inequalities (LMIs) such that the filtering process remains asymptotically stable and satisfies a prescribed $H_{\infty}$ performance level. Using polynomially parameter-dependent quadratic (PPDQ) functions and some Lagrange multiplier matrices, we establish the parameter-independent delay-dependent conditions with high precision under which the desired robust $H_{\infty}$ filters exist and derive the explicit expression of these filters. A numerical example is provided to demonstrate the validity of the proposed design approach.