• 제목/요약/키워드: Time-Delay Systems

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일종의 일차 비선형 시간 지연 시스템을 위한 안정성 분석 방법 (A Stability Analysis Scheme for a Class of First-Order Nonlinear Time-Delay Systems)

  • 최준영
    • 제어로봇시스템학회논문지
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    • 제14권6호
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    • pp.554-557
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    • 2008
  • We analyze the stability property of a class of nonlinear time-delay systems with time-varying delays. We present a time-delay independent sufficient condition for the global asymptotic stability. In order to prove the sufficient condition, we exploit the inherent property of the considered systems instead of applying the Krasovskii or Razumikhin stability theory that may cause the mathematical difficulty of analysis. We prove the sufficient condition by constructing two sequences that represent the lower and upper bound variations of system state in time, and showing the two sequences converge to an identical point, which is the equilibrium point of the system. The simulation results illustrate the validity of the sufficient condition for the global asymptotic stability.

Taylor series를 이용한 시변 지연 입력을 갖는 비선형 시스템의 이산화 (Time Discretization of Nonlinear System with Variable Time-delay Input Using Taylor Series Expansion)

  • 최형조;박지향;이수영;정길도
    • 제어로봇시스템학회논문지
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    • 제11권1호
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    • pp.1-8
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    • 2005
  • A new discretization algorithm for nonlinear systems with delayed input is proposed. The algorithm is represented by Taylor series expansion and ZOH assumption. This method is applied to the sampled-data representation of a nonlinear system with the time-delay input. Additionally, the delay in input is time varying and its amplitude is bounded. The maximum time-delay in input is assumed to be two sampling periods. The mathematical expressions of the discretization method are presented and the ability of the algorithm is tested for some of the examples. The computer simulation proves the proposed algorithm discretizes the nonlinear system with the variable time-delay input accurately.

Design of a controller for input time-delay nonlinear system

  • Choi, Hyung-Jo;Choi, Yong-Ho;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.548-552
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    • 2005
  • In most physical processes, the transfer function includes a time-delay, and in the general distributed control system using a computer network, an inherent time-delay exists due to the spatial separation between controllers and actuators. Under the circumstance where an input time-delay exits, the system response overshoots and tends to diverge. For this reasons described above, a controller design method is proposed for a discrete nonlinear system including input time-delay, which adopts the time-discretization using Taylor series. Controllers are synthesized using an input/output linearization method. Finally, several cases of the computer simulations were conducted, and the results validate the proposed methods.

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시간지연 시스템의 최단시간제어에 대한 연구 (A Note on the Time Optimal Control of Dynamic Systems with Time Delay)

  • 김병국;변증남
    • 전기의세계
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    • 제28권3호
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    • pp.37-50
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    • 1979
  • The time optimal control of dynamic systems with time delay is studied with emphasis on the practical realization of controllers. An extensive survey on various methods of control is included and a result for a time optimal regulator with signle delay in control is presented and simulated on a digital computer.

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A 5-20 GHz 5-Bit True Time Delay Circuit in 0.18 ㎛ CMOS Technology

  • Choi, Jae Young;Cho, Moon-Kyu;Baek, Donghyun;Kim, Jeong-Geun
    • JSTS:Journal of Semiconductor Technology and Science
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    • 제13권3호
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    • pp.193-197
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    • 2013
  • This paper presents a 5-bit true time delay circuit using a standard 0.18 ${\mu}m$ CMOS process for the broadband phased array antenna without the beam squint. The maximum time delay of ~106 ps with the delay step of ~3.3 ps is achieved at 5-20 GHz. The RMS group delay and amplitude errors are < 1 ps and <2 dB, respectively. The measured insertion loss is <27 dB and the input and output return losses are <12 dB at 5-15 GHz. The current consumption is nearly zero with 1.8 V supply. The chip size is $1.04{\times}0.85\;mm^2$ including pads.

Taylor-Lei Series에 의한 지연이 있는 비선형 시스템의 시간 이산화 (Time-Discretization of Nonlinear control systems with State-delay via Taylor-Lie Series)

  • 장위옌리앙;이의동;정길도
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2005년도 심포지엄 논문집 정보 및 제어부문
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    • pp.125-127
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    • 2005
  • In this paper, we propose a new scheme for the discretization of nonlinear systems using Taylor series expansion and the zero-order hold assumption. This scheme is applied to the sample-data representation of a nonlinear system with constant state tine-delay. The mathematical expressions of the discretization scheme are presented and the effect of the time-discretization method on key properties of nonlinear control system with state tine-delay, such as equilibrium properties and asymptotic ability, is examined. The proposed scheme provides a finite-dimensional representation for nonlinear systems with state time-delay enabling existing controller design techniques to be applied to then. The performance of the proposed discretization procedure is evaluated using a nonlinear system. For this nonlinear system, various sampling rates and time-delay values are considered.

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3상 UPS용 3레벨 인버터의 시지연 보상기 설계 (Design of Time Delay Compensator of Three-Level Inverter for Three-Phase UPS Systems)

  • 이진우;임승범;홍순찬
    • 전력전자학회:학술대회논문집
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    • 전력전자학회 2011년도 추계학술대회
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    • pp.63-64
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    • 2011
  • The inevitable calculation time delay of digital controller especially degrades the voltage control performance of three-phase UPS systems. This paper proposes time delay compensators based on the Smith-predictor for both voltage and current controllers of three-level NPC inverters. The PSIM-based simulation results show that the proposed controller with delay compensator gives improved voltage control performance with respect to time delay.

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디지틀 PIC 제어시스템의 계산 지연 영향 분석 (Analysis of computational delay effect on digital PID control system)

  • 이상정;홍석민;윤기준
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1990년도 한국자동제어학술회의논문집(국내학술편); KOEX, Seoul; 26-27 Oct. 1990
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    • pp.529-533
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    • 1990
  • This paper treats the computational time delay issue in designing digital control systems. The computational time delay margin, within which the closed-loop stability is guaranteed, is analyzed using Rouche theorem. A PID control algorithm is proposed for compensating the computational time delay. Finally, the analyzed and the exact computational time delay margins are compared, and the performance of the proposed PID controller is shown through an illustrative example.

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네트워크 기반 이산 시간 제어 시스템의 최대 허용 지연 한계 및 실시간 스케줄링 기법에 관한 연구 (Maximum Allowable Delay Bounds and Real-time Scheduling Method of Networked Discrete-time Control Systems)

  • 김동성;최동혁
    • 제어로봇시스템학회논문지
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    • 제12권7호
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    • pp.719-727
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    • 2006
  • This paper proposes a new method to obtain a maximum allowable delay bound for a scheduling of networked discrete control systems and event-based scheduling method. The proposed method is formulated in terms of linear matrix inequalities and can give a much less conservative delay bound than the existing methods. A network scheduling method is presented based on the delay obtained through the proposed method, and it can adjust the sampling period to allocate same utilization to each control loop. The presented method can handle three types of data (sporadic, emergency data, periodic data and non real-time message) and guarantees real-time transmission of periodic and sporadic emergency data using modified EDF scheduling method.

시간지연시스템의 안정성에 관한 연구동향 (Stability on Time Delay Systems: A Survey)

  • 박부견;이원일;이석영
    • 제어로봇시스템학회논문지
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    • 제20권3호
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    • pp.289-297
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    • 2014
  • This article surveys the control theoretic study on time delay systems. Since time delay systems are infinite dimensional, there are not analytic but numerical solutions on almost analysis and synthesis problems, which implies that there are a tremendous number of approximated solutions. To show how to find such solutions, several results are summarized in terms of two different axes: 1) theoretic tools like integral inequality associated with the derivative of delay terms, Jensen inequality, lower bound lemma for reciprocal convexity, and Wirtinger-based inequality and 2) various candidates for Laypunov-Krasovskii functionals.