• Title/Summary/Keyword: varying delays

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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.

Experimental Study on HCCI Combustion Characteristics of n-heptane and iso-octane Fuel/air Mixture by using a Rapid Compression Machine (급속압축장치를 이용한 노말헵탄.이소옥탄 혼합연료의 HCCI 연소특성에 대한 연구)

  • Lim, Ock-Taeck
    • Journal of ILASS-Korea
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    • v.16 no.4
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    • pp.167-175
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    • 2011
  • The HCCI engines have been known with high efficiency and low pollution and can be actualized as the new internal combustion engines. However, As for(??) the ignition and combustion depend strongly on the oxidation reaction of the fuel, so it is difficult to control auto-ignition timing and combustion duration. Purpose of this paper is creating the database for development of multi-dimensional simulation and investigating the influence of different molecular structure. In this research, the effect of n-heptane mole ratio in fuel (XnH) on the ignition delay from homogeneous charge compression ignition(HCCI) has been investigated experimentally. By varying the XnH, it was possible to ascertain whether or not XnH is the main resource of ignition delay. Additionally, the information on equivalence ratio for varying XnH was obtained. The tests were performed on a RCM (Rapid Compression Machine) fueled with n-heptane and iso-octane. The results showed that decreasing XnH (100, 30, 20, 10,0), the ignition delays of low temperature reaction (tL) and high temperature reaction (tH) is longer. And the temperature of reaction increases by about 30K. n-heptane partial equivalence ratio (fnH) affect on tL.and TL. When ${\phi}$nH was increased as a certain value, tL was decreased and TL was increased.

New Stability Condition for Discrete Delayed System with Unstructured Uncertainty (비구조화된 불확실성을 갖는 이산 지연 시스템의 새로운 안정조건)

  • Han, Hyung-seok
    • Journal of Advanced Navigation Technology
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    • v.24 no.6
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    • pp.607-612
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    • 2020
  • In this paper, we deal with the stability of linear discrete systems with time-varying delays and unstructured uncertainty. Stability conditions are derived based on Lyapunov stability theory, and can include the effect of uncertainty. The unstructured uncertainty in the papaer which can not be figured out its exact characteristics and only can be expreesed by its magnitude is considered. Compared with the previous results on the stability, the new results can expand the applicable systems and alleviate the stability conditions which are more effective and powerful. The proposed stability condition is expressed in the form of an simple inequality, and includes the both effects of the uncertainties and time-varying delay. We present the results comparing the new stability condition with the existing results, and verify the effectiveness and the superiority of the proposed results through numerical example.

Constrained MPC for uncertain time-delayed systems

  • Jeong, Seung-Cheol;Park, Poo-Gyeon
    • 제어로봇시스템학회:학술대회논문집
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    • 2003.10a
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    • pp.1905-1910
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    • 2003
  • It is well known that parameter uncertainties and time-delays cannot be avoided in practice and result in poor performance and even instability. Nevertheless, to the authors' best knowledge, there exist few results on model predictive control (MPC) handling explicitly uncertain time-delayed systems. In this paper, we present an MPC algorithm for uncertain time-varying systems with input constraints and state-delay. An optimization problem is suggested to find a memoryless state-feedback MPC law and the closed-loop stability is established under feasibility and certain conditions.

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A Self -Tuning PID Controller for a System with Varying Time Delays (지연시간이 변하는 시스템을 고려한 자기동조 PID 제어기)

  • Lee, Chang-Goo
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.475-483
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    • 1988
  • One of the advantages of the well-known PID controller is that it is a sufficiently flexible controller for many applications. But, when the plant parameters and disturbances are unknown or change with time, it is desirable to make automatic tuning of PID controller in order to achieve an acceptable level of performance of the control system. This paper presents a reformulation of the self-tuning pole-zero placement controller subject to some conditions and restrictions. It has the structure of a digital PID controller and is based on Vogel and Edgar's pole-zero placement design method. Various properties of this self-tuning PID controller are described and illustrated by simulation examples.

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Delay-Dependent Observer-Based Control for a Class of Neutral Systems with Time-Varying Delays (시간 변동 시간 지연을 가지는 뉴트럴 시스템의 관측기 설계에 관한 연구)

  • Song, Min-Guk;Ju, Yeong-Hun;Park, Jin-Bae
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2007.04a
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    • pp.372-375
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    • 2007
  • 본 논문은 시간 변동 시간 지연을 가지는 선형 Neutral 시스템에 관한 관측기 설계에 대해서 논의한다. 시간 지연을 가지는 시스템의 안정도를 판별하기 위하여 Lyapunov-Krasovskii의 이론을 도입한다. 시스템의 안정도를 위한 조건으로 시간 변동 시간 지연에 종속적인 충분조건을 제시한다. 선형 행렬 부등식을 이용하여 관측기의 이득값을 설계하며, 오차 상태 방정식의 안정도를 판별한다. 본 논문의 결과는 Luenberger가 제안한 관측기의 일반적인 결과를 나타낸다. 모의실험을 통해 논문의 결과를 입증하였다.

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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 Study on the Implementation of STC using the Expert Control Functiona (Expert 형 제어기법에 의한 STC에 관한 연구)

  • 채창현;이창훈;임은빈;우광방
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.584-589
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    • 1988
  • Tuning of digital STC parameters for the system with unknown and time varying parameters as well as delays presents many preconditions and difficulties. In order to eliminate these difficulties and to enhance STC control functions, the present study employs the metbod of expert control for STC and to implement it in nod-minimum phase plants. In this paper, implimedtation of the Expert STC for process control, STC. parameters is carried out by tuning systematically and by applying these parameters to non-minimum phase plant. This controller supervises a status of the plant, and robust control function for time delay or change of the plant is demonstrated by computer simulations.

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Wavelength Division Multiple Access Protocols for High-Speed Optical Fiber Local Area Networks (고속 광 지역망을 위한 파장 분할 다중 접근 프로토콜)

  • 조원홍;이준호;이상배
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.31A no.4
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    • pp.21-29
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    • 1994
  • Three protocols based on the slotted Aloha technique are proposed for very high-speed optical fiber local area networks using wavelength division multiplexing (WDM) passive star topology and the throughputs and delays are derived. For getting a high probability in successful transmission of control packets determining the transmission of a data packet, we adopt control mini slot groups in these protocols. The retransmission probability is also considered in analysis. Both throughput and delay of three protocols are compared and analyzed by varying the number of control solt groups, the retransmission probability the length of a data packet and the number of channels. The numerical analysis shows that the proposed protocols adopted the control slot groups give the increase of throughput and the decrease of delay.

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Robust Stability of Uncertain Linear Systems with Multiple Time-delayed (다중 시간지연을 갖는 불확정성 선형 시스템의 강인 안정성)

  • Lee, Hee-Song;Kim, Jin-Hoon
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.449-451
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    • 1998
  • In this paper, we consider the problem of the robust stability of uncertain linear systems with multiple time-varying delays. The considered uncertainties are both the unstructured uncertainty which is only known its norm bound and the structured uncertainty satisfying the matching conditions, respectively. We present conditions that guarantee the robust stability of systems based on Lyapunov stability theorem and $H_{\infty}$ theory in the time domain. Finally, we show the usefulness of our results by numerical examples.

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