• Title/Summary/Keyword: time delay observer

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An Enhanced Time Delay Observer for Nonlinear Systems

  • Park, Suk-Ho;Chang, Pyung-Hun
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.149-156
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    • 2000
  • Time delay observer (TDO), thanks to the time delay control (TDC) concept, requires little knowledge of a plant model, and hence is easy to design, robust to parameter variation and computationally efficient, yet can reconstruct states rather reliable for nonlinear plant. In this paper, we propose an improved version of TDO that solves two problems inherent in TDO as follows: TDO displays large reconstruction errors due to low-frequency uncertainty and has some restrictions on selecting its gains. By introducing a low pass filter and a state associated with it, we obtain an enhanced time delay observer (ETDO). This observer turns out to have smaller reconstruction errors than those of TDO and not to have any restriction on selecting its gains, thereby solving the problems. Through performance comparison by transfer function and simulation, we validate the analysis results of two observers (TDO and ETDO) and evaluate the performances. Finally, through experiments on BLDC motor system, the analysis results are clearly conformed.

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Design of Unknown Input Observer for Linear Time-delay Systems

  • Fu, Yan-Ming;Duan, Guang-Ren;Song, Shen-Min
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.530-535
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    • 2004
  • This paper deals with the unknown input observer (UIO) design problem for a class of linear time-delay systems. A case in which the observer error can completely be decoupled from an unknown input is treated. Necessary and sufficient conditions for the existences of such observers are present. Based on Lyapunov stability theory, thedesign of the observer with internal delay is formulated in terms of linear matrix inequalities (LMI). The design of the observer without internal delay is turned into a stabilization problem in linear systems. Two design algorithms of UIO are proposed. The effect of the proposed approach is illustrated by two numerical examples.

Design of Adaptive Disturbance Observer for the Time Delay System Control (시간지연 시스템 제어를 위한 적응외란관측자 설계)

  • Lee, Soon-Young
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.9
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    • pp.1676-1679
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    • 2007
  • In control of the time delay systems, if the disturbance information can be estimated exactly, the ideal response for the disturbance can be achieved. Therefore, in this paper, a new adaptive disturbance observer for the time delay system control is proposed. The disturbance observer is designed and adaptive laws for adjusting the observer are proposed. The new Smith predictor controller to eliminate the effects of the disturbance can be achieved by adding an estimated disturbance to the Smith model. The improved performances of the proposed system and the adaptive disturbance observer are verified by computer simulation.

A stabilizing control technique for bilateral teleoperation system with time delay

  • Kim, H.W.;Suh, I.H.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.336-341
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    • 2004
  • In this paper, a hybrid stabilization approach involving both passivity observer/passivity controller and wave variables is addressed to stabilize a teleoperation system with fixed time delay. To guarantee the stability of master or slave side, passivity observer/passivity controller are applied. But, passivity observer/passivity controller cannot deal with communication delay, and thus even small communication delay cause the system to be unstable. To cope with this problem, wave variables are additionally employed to have robustness to fixed communication delays. To show the validity of our proposed approach, several computer simulation results are illustrated.

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Robust State Observer for Lipschitz Nonlinear Systems with Time Delay (시간 지연을 갖는 Lipschitz 비선형 시스템의 강인 상태 관측기)

  • Lee, Sung-Ryul
    • Proceedings of the KIEE Conference
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    • 2008.04a
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    • pp.207-208
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    • 2008
  • This paper presents a robust state observer design for a class of Lipschitz nonlinear systems with time delay and external disturbance. A sufficient conditions on the existence of the proposed observer are characterized by linear matrix inequalities. It is also shown that the proposed observer design can reduce the effect on the estimation error of external disturbance up to the prescribed level in spite of the existence of time delay. Finally, a numerical example is provided to verify the proposed design method.

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An LMI-Based Sliding Mode Observer Design Method for Uncertain Time-Delay Systems (불확실한 시간 지연 시스템을 위한 LMI 기반 슬라이딩 모드 관측기 설계법)

  • Choi Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.10
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    • pp.1018-1021
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    • 2006
  • This paper presents an LMI-based method to design sliding mode observers for a class of uncertain time-delay systems. Using LMIs we derive an existence condition of a sliding mode observer guaranteeing a stable sliding motion. And we give explicit formulas of the observer gain matrices. Finally, we give a simple LMI-based design algorithm, togeter with a numerical design example.

Robust State Observer for Lipschitz Nonlinear Systems with Time Delay (시간 지연을 갖는 Lipschitz 비선형 시스템의 강인 상태 관측기)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.11
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    • pp.1089-1093
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    • 2008
  • This paper presents a robust state observer design for a class of Lipschitz nonlinear systems with time delay and external disturbance. Sufficient conditions on the existence of the proposed observer are characterized by linear matrix inequalities. It is also shown that the proposed observer design can reduce the effect on the estimation error of external disturbance up to the prescribed level in spite of the existence of time delay. Finally, a numerical example is provided to verify the proposed design method.

Design of a Disturbance Observer Using a Second-Order System Plus Dead Time Modeling Technique (시간 지연을 갖는 2차 시스템 모델링 기법을 이용한 외란 관측기 설계)

  • Jeong, Goo-Jong;Son, Young-Ik
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.58 no.1
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    • pp.187-192
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    • 2009
  • This paper presents a method for designing a robust controller that alleviates disturbance effects and compensates performance degradation owing to the time-delay. Disturbance observer(DOB) approach as a tool of robust control has been widely employed in industry. However, since the Pade approximation of time-delay makes the plant non-minimum phase, the classical DOB cannot be applied directly to the system with time-delay. By using a new DOB structure for non-minimum phase systems together with the Smith Predictor, we propose a new controller for reducing the both effects of disturbance and time-delay. Moreover, the closed-loop system can be made robust against uncertain time-delay with the help of a Pill controller tuning method that is based on a second-order plus dead time modeling technique.

Observer Design for Discrete-Time Nonlinear Systems with Output Delay (출력지연을 갖는 이산시간 비선형 시스템의 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.3
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    • pp.26-30
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    • 2012
  • This paper presents the observer design method for discrete-time nonlinear systems with delayed output. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the discrete-time nonlinear error dynamics with time delay can be transformed into the discrete-time linear one with time delay. Sufficient conditions for existence of state observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

A State Observer of Nonlinear Systems with Delayed Output (지연된 출력을 갖는 비선형 시스템의 상태 관측기)

  • Lee, Sung-Ryul
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.7
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    • pp.613-616
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    • 2012
  • This paper proposes the state observer design for nonlinear systems with delayed output. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the nonlinear error dynamics with time delay can be transformed into the linear one with time delay. Sufficient conditions for existence of a state observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.