• Title/Summary/Keyword: Time Delay System

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MULTIPLE SCALE ANALYSIS OF A DELAYED PREDATOR PREY MODEL WITHIN RANDOM ENVIRONMENT

  • Saha, Tapan;Bandyopadhyay, Malay
    • Journal of applied mathematics & informatics
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    • v.26 no.5_6
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    • pp.1191-1205
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    • 2008
  • We consider a delayed predator prey model. The local stability and Hopf bifurcation results are stated taking the time delay as a control parameter. We apply multiple scale analysis to analyze the effects of additive white noises near the Hopf bifurcation point at the positive interior equilibrium state. The governing equations for the amplitude of oscillations on a slow time scale are derived. We identify the process of amplitude of oscillations and derive its transient properties. We show that oscillations, which would decay in the deterministic system whenever time delay lies below its critical value, persists for long time under the validity of multiple scale analysis.

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Design of the Controllers for Time-Delay Systems Using the Approximated 2nd-Order Model with Dead-Time (근사화된 2계 모델을 이용한 시간지연 시스템의 제어기 설계)

  • Kim, Jong-Hun;Park, Jong-Sik;Yang, Seung-Hyun;Lee, Suk-Won
    • Proceedings of the KIEE Conference
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    • 2002.07d
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    • pp.2164-2166
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    • 2002
  • This paper present a controller design scheme for time-delay system. The Smith Predictor has been proposed to solve the problem of time-delay. But this structure has a condition that parameters of plant and model have to be matched accurately. Because of this condition, it is not applied broadly in practical industrial process field. In this paper, the 2nd-order model with dead-time is used as plant model of the Smith Predictor and a main controller is designed by using the effect of mismatch between plant and model.

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Model Following Control of Linear Time-Invariant System with Uncertain Time Delay (불확실성 지연시간 시스템의 모델추종제어)

  • Kim, Hye-Kyung;Kim, Young Chol
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.63 no.6
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    • pp.786-796
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    • 2014
  • This paper presents a new approach to design a robust tracking controller for linear time-invariant systems with uncertain time-delay. By introducing the model following control (MFC) structure which consists of two loops in nature, we show that the controller is capable of having a predictive control action and effectively tracking the reference output with a desired transient response as well. Three design techniques to achieve good tracking performance are suggested. It is also analytically shown that the tracking performance of the proposed scheme is more robust than that of typical single-loop feedback structure. An illustrative example is given to compare the tracking performances of the proposed methods with a single loop method.

A Study on Robust Stability of Uncertain Linear Systems with Time-delay (시간지연을 갖는 불확정성 선형 시스템의 강인 안정성에 관한 연구)

  • Lee, Hee-Song;Ma, Sam-Sun;Ryu, Jeong-Woong;Kim, Jin-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.5
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    • pp.615-621
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    • 1999
  • In this paper, we consider the robust stability of uncertain linear systems with time-delay in the time domain. The considered uncertainties are both the unstructured uncertainty which is only Known its norm bound and the structured uncertainty which is known its structured. Based on Lyapunov stability theorem and{{{{ { H}_{$\infty$ } }}}} theory known as Strictly Bounded Real Lemma (SBRL), we present new conditions that guarantee the robust stability of system. Also, we extend this to multiple time-varying delays systems and large-scale systems, respectively. Finally, we show the usefulness of our results by numerical examples.

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Analysis of the Directional Group Delay of the Antenna for the Radio Navigation System (전파 항법시스템을 위한 안테나 방향별 군지연 분석)

  • Jung, Sunghun;Seol, Dong-Min;Lee, Chul-Soo;Sun, Jung-Kyu
    • Journal of Advanced Navigation Technology
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    • v.23 no.5
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    • pp.386-391
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    • 2019
  • This paper presents analysis results for the effect of the directional group delay of the antenna to implement a precision radio navigation system. The analysis was conducted through antenna simulation and test, and the test was performed in an anechoic chamber. The directional group delay of the antenna was calculated in phase-based analysis method. The results showed that a variation of up to 7.7ns in group delay occurred per antenna direction. The group delay variation from the analysis is 2.31 meters when converted into distance. It was tested using a real radio navigation system based on the time of arrival (TOA). The test verified the distance variation of 2.1 meters, and this value is similar to those obtained from the simulation and chamber test analysis.

A Study on Implementation of a Real-Time Control Algorithm for Ship Main Engine Remote Control Systems (선박 주기관 원격제어시스템을 위한 실시간 제어알고리즘 구현에 관한 연구)

  • 김종화
    • Journal of Advanced Marine Engineering and Technology
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    • v.22 no.6
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    • pp.901-907
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    • 1998
  • This paper presents a real-time control technique for the development of a ship main engine remote control system, In general several tasks are executed by the event-driven method in real-time system. However when some tasks have time delay components it is difficult to achieve good real-time performance. To cope with this problem a number of timers in most conventional system have been used. In this paper we introduce a real-time control methodology of dealing effectively with tasks including time delay components using one hardware timer. And also a speed control method of main engine which includes critical revolution range a crash astern and a emergency ahead function a switching method of remote control position and a flickering method for the indication of multi-stage alarm are discussed. As long as functions and method are imple-mented as forms of tasks the development of main engine remote control systems can be easy for different types of engines.

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Mechanism of Multimedia Synchronization using Delay Jitter Time (지연지터시간을 이용한 멀티미디어 동기화 기법)

  • Lee, Keun-Wang;Jun, Ho-Ik
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.13 no.11
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    • pp.5512-5517
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    • 2012
  • In this paper we suggest multimedia synchronization model that is based on the Petri-net and services desirable quality of service requirement. Proposed model applies variable buffer which can be allowed, and then it presents high quality of service and real time characteristics. This paper decreases the data loss resulted from variation of delay time and from loss time of media-data by means of applying delay jitter in order to deal with synchronization interval adjustment. Plus, the mechanism adaptively manages the waiting time of smoothing buffer, which leads to minimize the gap from the variation of delay time. The proposed paper is suitable to the system which requires the guarantee of high quality of service and mechanism improves quality of services such as decrease of loss rate, increase of playout rate.

Improvement in DRX Power Saving for Non-real-time Traffic in LTE

  • Kawser, Mohammad Tawhid;Islam, Mohammad Rakibul;Islam, Khondoker Ziaul;Islam, Mohammad Atiqul;Hassan, Mohammad Mehadi;Ahmed, Zobayer;Hasan, Rafid
    • ETRI Journal
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    • v.38 no.4
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    • pp.622-633
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    • 2016
  • A discontinuous reception (DRX) operation is included in the Long Term Evolution (LTE) system to achieve power saving and prolonged battery life of the user equipment. An improvement in DRX power saving usually leads to a potential increase in the packet delay. An optimum DRX configuration depends on the current traffic, which is not easy to estimate accurately, particularly for non-real-time applications. In this paper, we propose a novel way to vary the DRX cycle length, avoiding a continuous estimation of the data traffic when only non-real-time applications are running with no active real-time applications. Because a small delay in non-real-time traffic does not essentially impact the user's experience adversely, we deliberately allow a limited amount of delay in our proposal to attain a significant improvement in power saving. Our proposal also improves the delay in service resumption after a long period of inactivity. We use a stochastic analysis assuming an M/G/1 queue to validate this improvement.

Design of the Feed Forward Controller in Digital Method to Improve Transient Characteristics for Dynamic Voltage Restorers (동적전압보상기의 과도특성을 개선하기 위한 디지털방식의 전향제어기 설계)

  • 김효성;이상준;설승기
    • The Transactions of the Korean Institute of Power Electronics
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    • v.9 no.3
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    • pp.275-284
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    • 2004
  • This paper discusses how to control the compensation voltages in dynamic voltage restorers (DVR). On analyzing the power circuit of a DVR system, control limitations and control targets are presented for the voltage compensation in DVRs. Based on the preceded power stage analysis, a novel controller for the compensation voltages of DVRs is proposed by a feed forward control scheme. This paper discusses also the time delay problems in the control system of DVRs. Digitally controlled DVR systems normally have control delay at amount of one sampling time of the control system and a half of the switching period of the DVR inverter. The control delay in digital controllers increases the dimension of the system transfer function one degree higher, which makes the control system more complicate and more unstable. This paper proposes a guide line to design the control gain, appropriate output filter parameters and inverter switching frequency for DVRs with digital controllers. Proposed theory is verified by an experimental DVR system with a full digital controller.

Decentralized $H_\infty$ Control with Performance for Uncertain Linear Interconnected Systems with Time Delay (시간 지연을 갖는 불확실 대형 연결 시스템의 분산 $H_\infty$ 제어)

  • 심덕선;김연재
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.5
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    • pp.333-338
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    • 2000
  • This paper considers the decentralized control problem of linear time-invariant interconnected systems with delays. A decentralized output-feedback controller to obtain both stability and performance of the interconnected system is designed using the standard $H_\infty$ control theory, This paper provides sufficient conditions for such a controller to exist and provides an output feedback controller.

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