• Title/Summary/Keyword: Time-delay systems

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Loop transfer recovery design for input-delayed systems (입력 시간지연 시스템의 루우프 전달복구 설계 기법)

  • 박상현;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1201-1204
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    • 1996
  • The previous results on LTR methods for time delay systems need the solution of the operator-type Riccati equation. In addition, it can be difficult to make the target loop shape representing the design specification. This paper proposes a new LTR method for input-delayed systems using well-established LTR method for non-delay systems. For doing this, a time delay margin is derived and the time delay of the input-delayed systems is assumed less than equal to the time delay margin. A simple example is presented for illustrations.

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A stochastic optimal time-delay control for nonlinear structural systems

  • Ying, Z.G.;Zhu, W.Q.
    • Structural Engineering and Mechanics
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    • v.31 no.5
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    • pp.621-624
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    • 2009
  • The time delay in active and semi-active controls is an important research subject. Many researches on the time-delay control for deterministic systems have been made (Hu and Wang 2002, Yang et al. 1990, Abdel-Mooty and Roorda 1991, Pu 1998, Cai and Huang 2002), while the study on that for stochastic systems is very limited. The effects of the time delay on the control of nonlinear systems under Gaussian white noise excitations have been studied by Bilello et al. (2002). The controlled linear systems with deterministic and random time delay subjected to Gaussian white noise excitations have been treated by Grigoriu (1997). Recently, a stochastic averaging method for quasi-integrable Hamiltonian systems with time delay has been proposed (Liu and Zhu 2007). In the present paper, a stochastic optimal time-delay control method for stochastically excited nonlinear structural systems is proposed based on the stochastic averaging method for quasi Hamiltonian systems with time delay and the stochastic dynamical programming principle. An example of stochastically excited and controlled hysteretic column is given to illustrate the proposed control method.

Control of Discrete Time Nonlinear Systems with Input Delay (입력지연을 갖는 이산 시간 비선형 시스템의 제어)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.6
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    • pp.509-512
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    • 2012
  • This paper presents the state feedback control design for discrete time nonlinear systems where there exists a time delay in input. It is shown that under some boundedness condition, the time delay nonlinear systems can be transformed into the time delay linear systems with time varying parameters. Sufficient conditions for existence of stabilizing state feedback controller are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

[ $H_2$ ] Filter for Time Delay Systems

  • Suh Young-Soo;Ro Young-Shick;Kang Hee-Jun
    • International Journal of Control, Automation, and Systems
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    • v.4 no.5
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    • pp.539-544
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    • 2006
  • An $H_2$ filter is derived for time delay systems, where there are time delay terms in the state and in the output. A method to compute the $H_2$ norm of time delay systems is proposed. Based on the $H_2$ norm computation method, an $H_2$ filter design is formulated as a nonlinear optimization problem.

Stability of Time-Varying Discrete State Delay Systems (이산 시변 상태지연시스템의 안정성)

  • Suh, Young-Soo
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.2
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    • pp.43-47
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    • 2002
  • Stability conditions of time-varying discrete state delay systems are proposed. The time-varying state delay is assumed that (i) the magnitude is known to lie in a certain interval (ii) the upper bound of the rate of change is known. Under these conditions, new stability conditions are derived based on switched Lyapunov functions. Stability conditions for both fast time-varying and slowly time-varying delay are considered.

Decentralized Output Feedback Robust Passive Control for Linear Interconnected Uncertain Time-Delay Systems

  • Shim, Duk-Sum
    • Transactions on Control, Automation and Systems Engineering
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    • v.4 no.2
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    • pp.140-146
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    • 2002
  • We consider a class of large-scale interconnected time delay systems and investigate a decentralized robust passive control problem. sufficient conditions for unforced interconnected uncertain systems with time delay to be robustly stable with extended strictly passivity is given in terms of algebraic Riccati inequality and linear matrix inequality. The decentralized robust passive control problem for norm-bounded and positive real uncertainty is shown to be converted to extended strictly positive real control problem for a modified system which contains neither time delay nor uncertainty.

Design of Fuzzy Output Feedback Controller for The Nonlinear Systems with Time -Delay

  • Shin, Hyun-Seok;Kim, Eun-Tai;Park, Mignon
    • Journal of the Korean Institute of Intelligent Systems
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    • v.12 no.6
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    • pp.559-564
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    • 2002
  • This Paper Proposes a design method of a fuzzy output feedback controller for the nonlinear systems with the unknown time- delay. Recently, Cao et ai. proposed a stabilization method for the nonlinear time-delay systems using a fuzzy controller when the time-delay is known. However, the time-delay is likely to be unknown in practical. We represent the nonlinear systems with the unknown time-delay by Takagi-Sugeno (T-5) fuzzy model and design the fuzzy observer and the parallel distributed compensation (PDC) law based on this observer. By applying Lyapunov-Krasovskii theorem to the closed-loop system, the sufficient condition for the asymptotic stability of the equilibrium Point is derived and converted into the linear matrix inequality (LMI) Problem.

Engine torque and engine/automatic trandmission speed control systems using time delay control (시간지연 제어를 이용한 엔진 토크 및 엔진/자동변속기 속도 제어 시스템)

  • Song, Jae-Bok;Lee, Seung-Man
    • Journal of Institute of Control, Robotics and Systems
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    • v.2 no.2
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    • pp.81-87
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    • 1996
  • Time delay control(TDC) law has been recently suggested as an effective control technique for nonlinear time-varying systems with uncertain dynamics and/or unpredictable disturbances. This paper focuses on the applications of the TDC algorithm to torque control of an engine system and speed control of an engine/automatic transmission system. Through the stability analysis of the engien system based on TDC, determination of the appropriate time delay and control factor is investigated. It was revealed that the size of time delay of the TDC law should be greater than that of transport delay of the system for both stability and better control performance. Simulation and experimental results for the engine torque control and engine/automatic transmission speed control systems show both relatively good command following and disturbance rejection properties. However, TDC controller shows rather slow responses when applied to the system with large transport delay.

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State Feedback Stabilization of Network Based Control Systems with Time-varying Delay (시변시간지연을 가지는 네트워크 기반 시스템의 상태궤환 안정화)

  • Jung Eui-Heon;Shu Young-Su;Lee Hong-Hee
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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    • pp.741-746
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    • 2004
  • When investigating a control problem for network based control systems, the main issue is network-induced delay. This delay can degrade the performance of control systems designed without considering the delay and even destabilize the system. In this paper, we consider the stabilization of network based control systems, where there is bounded time-varying delay. This delay is treated like parameter variation of a discrete time system. The state feedback controller design is formulated as linear matrix inequality. Finally, we show that the stability of control systems designed with considering the delay is superior to that is not so.

A study on the delay-characteristics and hankel operators of input delay systems (입력 시간지연 시스템의 한켈 연산자와 지연특성에 관한 연구)

  • Ha, Hee-Kwon;Hwang, I-Cheol;Lee, Man-Hyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.1
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    • pp.1-7
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    • 2000
  • This paper studies the delay-characteristics using the singular values and vectors of Hankel operators for input delay systems. First, the computational method of Hankel singular values and their corresponding singular vectors are introduced, and then it is analytically provea that all the Hankel singular vlues have a monotone increasing properties as the length of delay time increases. Furthermore, through a simple numerical example, it is shown that the Hankel singular values are dependent only on the ratio of the time constant of a lumped parameter system to the length of delay , and in case that the time constant is relatively larger than the delay time, the lumped parameter characteristic has a great influence on the input delay systems.

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