• Title/Summary/Keyword: Delay Bound

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Stability Condition for Discrete Interval System with Unstructured Uncertainty and Time-Varying Delay Time (비구조화된 불확실성과 시변 지연 시간을 갖는 이산 구간 시스템의 안정조건)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.25 no.6
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    • pp.551-556
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    • 2021
  • In this paper, we deal with the stability condition of linear interval discrete systems with time-varying delays and unstructured uncertainty. For the interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new results are derived by the form of simple inequality based on Lyapunov stability condition and have the advantage of being more effective in stability application. Furthermore, the proposed stable conditions are very comprehensive and powerful, including the previously published stable conditions of various linear discrete systems. The superiority of the new condition is proven in the derivation process, and the utility and superiority of the proposed condition are examined through numerical example.

Stability Bounds of Unstructured and Time-Varying Delayed State Uncertainties for Discrete Interval Time-Varying System (이산 시변 구간 시스템의 비구조화된 불확실성과 시변 지연시간 상태변수 불확실성의 안정범위)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.27 no.6
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    • pp.871-876
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    • 2023
  • In this paper, we deal with the stable conditions when two uncertainties exist simultaneously in a linear discrete time-varying interval system with time-varying delay time. The interval system is a system in which system matrices are given in the form of an interval matrix, and this paper targets the system in which the delay time of these interval system matrices and state variables is time-varying. We propose the system stability condition when there is simultaneous unstructured uncertainty that includes nonlinearity and only its magnitude and uncertainty in the system matrix of delayed state variables. The stable bounds for two types of uncertainty are derived as an analytical equation. The proposed stability condition and bounds can include previous stability condition for various linear discrete systems, and the values such as time-varying delay time variation size, uncertainty size, and range of interval matrix are all included in the conditional equation. The new bounds of stability are compared with previous results through numerical example, and its effectiveness and excellence are verified.

Network Design of Foundation Fieldbus using a Bandwidth Allocation Scheme (대역폭 할당을 통한 Foundation Fieldbus 통신망 설계)

  • Hong, Seung-Ho;Choe, In-Ho;Mun, Bong-Chae
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.10
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    • pp.882-890
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    • 2001
  • The data link layer of Foundation Fieldbus is operated on the basis of scheduling and token-passing disciplines. This paper presents a network design method of Foundation Fieldbus using a bandwidth allocation scheme. Fieldbus traffic consists of periodic data and sporadically generated time-critical and time-available data. The bandwidth allocation scheme schedules the transmission of periodic data. Time-critical and time-available data are transmitted via a token-passing service. The validity of this bandwidth allocation scheme is determined using an experimental model of a network system. The results obtained from the experimental model show that the proposed scheme restricts the delay of both periodic and time-critical data to a pre-specified bound. The proposed bandwidth allocation scheme also fully utilizes the bandwidth resource of the network system.

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Robust $H^{\infty}$ control for parameter uncertain time-varying systems with time-varying delays in state and control input (파라미터 불확실성 시변 시간지연 시스템에 대한 견실 $H^{\infty}$ 제어)

  • 김기태;김종해;박홍배
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.113-116
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    • 1997
  • In this paper, we present a robust $H^{\infty}$ controller design method for parameter uncertain time-varying systems with disturbance and that have time-varying delays in both state and control. It is found that the problem shares the same formulation with the $H^{\infty}$ control problem for systems without uncertainty. Through a certain differential Riccati inequality approach, a class of stabilizing continuous controller is proposed. For parameter uncertainties, disturbance and time varying delays, proposed controllers the plant and guarantee an $H^{\infty}$ norm bound constraint on disturbance attenuation for all admissible uncertainties. Finally a numerical example is given to demonstrate the validity of the results.ts.

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Channel time scheduling scheme using Weighted Fairness for HR-WPAN (HR-WPAN에서의 Weighted Fairness를 이용한 Channel Time스케줄링 기법 연구)

  • 이용석;한진우;최웅철;이승형;정광수
    • Proceedings of the Korean Information Science Society Conference
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    • 2004.10c
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    • pp.67-69
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    • 2004
  • HR-WPAN(802.15.3)의 CTAP에는 Time Slot(CTA) 할당 스케줄링 기법이 적용되어 있지 않다. 이에 본 논문에서는 CTAP의 채널 할당 방식에 유선망의 패킷 스케줄링방법인 WFQ(Weighted Fair Queuing)를 적용하고자 한다. 현재 표준에서 TDMA를 적용하기 위한 명확한 스케줄링 기법이 없으며, 대량의 트래픽으로 인해 소량의 트래픽이 기아현상을 겪을 수 있는 공정성(Fairness)의 문제가 있다. 따라서 본 논문에서는 각각의 DEV들에 가중치를 적용하여 공정한 방법으로 채널을 할당 받고자 한다. 이를 통해 HR-WPAN의 채널 할당방식에 있어서의 공정성 문제를 해결하고 delay bound를 제공하는 time slot 스케줄링 기법을 제안한다. 본 논문에서는 Weighted Fairness를 적용한 분산적 스케줄링 방법에 대한 연구를 통해 HR-WPAN에서의 성능 향상을 이루고자 한다.

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Modeling and Analysis of Delay Bound for Voice Traffic in the IEEE 802.11 Wireless LAN (IEEE 802.11 무선랜에서 음성신호의 딜레이 바운드에 관한 분석)

  • Choi, Won-Suk;Kim, Young-Yong
    • Proceedings of the Korea Information Processing Society Conference
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    • 2003.05b
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    • pp.1485-1488
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    • 2003
  • IEEE 802.11 무선 랜 환경에서 멀티미디어 트래픽이 효과적으로 전송퇴기 위해서는 정해진 딜레이 바운드내에서 전송이 완료되어야 한다 대표적인 멀티미디어 트래픽인 음성신호를 전송할 때의 단방향 딜레이 바운드는 echo canceller를 쓰지 않았을 경우 $25ms{\sim}30ms$ 이다. 딜레이 바운드를 지키지 못하고 전송된다면 시간에 민감한 음성신호의 특성 때문에 음성품질이 유지되지 않을 뿐만 아니라 채널의 혼잡을 유발하게 된다. 본 논문에서는 음성의 품질이 보장되는 기준을 95%이상의 패킷이 성공적으로 전달되는 경우로 제한하여 음성의 딜레이 바운드에 관한 분석을 시도하였다. 이를 위해 음성패킷이 drop될 확률을 수학적인 분석을 통해 유도하고 시뮬레이션을 통한 검증을 시도하였다. 시뮬레이션에서는 IEEE 802.11의 두 가지 기본적인 MAC(Multiple Access Control) 프로토콜인 DCF와 PCF를 사용해서 음성신호를 전송할 때 딜레이 바운드를 지키지 못하는 음성 패킷을 사전에 drop 시킴으로써 몇 개의 음성 노드가 손실율 5% 이내 (음성의 품질이 유지되는 한계)를 만족시키는지를 음성신호를 발생시키는 STA 수와 손실율의 관계를 통해 알아보았다.

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Stochastic Optimal Control and Network Co-Design for Networked Control Systems

  • Ji, Kun;Kim, Won-Jong
    • International Journal of Control, Automation, and Systems
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    • v.5 no.5
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    • pp.515-525
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    • 2007
  • In this paper, we develop a co-design methodology of stochastic optimal controllers and network parameters that optimizes the overall quality of control (QoC) in networked control systems (NCSs). A new dynamic model for NCSs is provided. The relationship between the system stability and performance and the sampling frequency is investigated, and the analysis of co-design of control and network parameters is presented to determine the working range of the sampling frequency in an NCS. This optimal sampling frequency range is derived based on the system dynamics and the network characteristics such as data rate, time-delay upper bound, data-packet size, and device processing time. With the optimal sampling frequency, stochastic optimal controllers are designed to improve the overall QoC in an NCS. This co-design methodology is a useful rule of thumb to choose the network and control parameters for NCS implementation. The feasibility and effectiveness of this co-design methodology is verified experimentally by our NCS test bed, a ball magnetic-levitation (maglev) system.

A Fractional Model Reduction for T-S Fuzzy Systems with State Delay

  • Yoo Seog-Hwan;Choi Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.3
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    • pp.184-189
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    • 2006
  • This paper deals with a fractional model reduction for T-S fuzzy systems with time varying delayed states. A contractive coprime factorization of time delayed T-S fuzzy systems is defined and obtained by solving linear matrix inequalities. Using generalized controllability and observability gramians of the contractive coprime factor, a balanced state space realization of the system is derived. The reduced model will be obtained by truncating states in the balanced realization and an upper bound of model approximation error is also presented. In order to demonstrate efficacy of the suggested method, a numerical example is performed.

A Fractional Model Reduction for Linear Systems with State Delay (상태변수 시간지연을 갖는 선형시스템의 분수 모델 축소)

  • Yoo, Seog-Hwan
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.2
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    • pp.29-36
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    • 2004
  • This paper deals with a fractional model reduction for linear systems with time varying delayed states. A contractive coprime factorization of linear time delayed systems is defined and obtained by solving linear matrix inequalities. Using generalize controllability and observability gramians of tile contractive coprime factor, a balanced state space realization of the system is derived. The reduced model will be obtained by truncating states in the balanced realization and an upper bound of model approximation error is also presented. In order to demonstrate efficacy of the suggested method, a numerical example is illustrated.

Implementation of Bandwidth allocation scheme and Experimental Performance Evaluation on application layer of Foundation Fieldbus (사용자 계층에서 Foundation Fieldbus의 대역폭할당기법구현 및 실험적 검증)

  • Song, Sung-Min;Hong, Seung-Ho
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.430-433
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    • 2002
  • Fieldbus traffic consists of periodic, time-critical and time-available data. A bandwidth allocation scheme allocates periodic, time-critical and time-available data traffic to the bandwidth-limited network resource. This paper presents an implementation method of the bandwidth allocation scheme in the user layer of Foundation fieldbus. In this study, an experimental model of a Foundation Fieldbus network system is developed. Using the experimental model, validity of the bandwidth allocation scheme is examined. The results obtained from the experimental model show that the proposed scheme restricts the delay of both periodic and time-critical data to a pre-specified bound. The bandwidth allocation scheme also fully utilized the bandwidth resource of the network system.

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