• Title/Summary/Keyword: Delay systems

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Robust Stabilization of Uncertain Linear Systems with Time-delay

  • Moon, Young-Soo;Park, Poo-Gyeon;Kwon, Wook-Hyun
    • Transactions on Control, Automation and Systems Engineering
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    • v.1 no.2
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    • pp.128-133
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    • 1999
  • This paper presents a new delay-dependent robust stabilization condition for uncertain time-delay systems. An algorithm involving convex optimization is proposed to compute a suboptimal upper bound of the delay such that the system can be stabilized by the controller for all admissible uncertainties. It is illustrated by numerical examples that the proposed delay-dependent controller can be less conservative than previous results. It is also shown that the proposed delay-dependent controller can even capture the delay-independent stability of the system, which is not possible with existing delay-dependent results.

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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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Delay-dependent stabilization for time-delay systems;An LMI approach

  • Cho, H.J.;Park, Ju-H.;Lee, S.G.
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1744-1746
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    • 2004
  • This paper focuses on the problem of asymptotic stabilization for time-delay systems. To this end, a memoryless state feedback controller is proposed. Then, based on the Lyapunov method, a delay-dependent stabilization criterion is devised by taking the relationship between the terms in the Leibniz-Newton formula into account. Certain free weighting matrices are used to express this relationship and linear matrix inequalities (LMIs)-based algorithm to design the controller stabilizing the system.

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Delay-Dependent Control for Time-Delayed T-S Fuzzy Systems Using Descriptor Representation

  • Jeung, Eun-Tae;Oh, Do-Chang;Park, Hong-Bae
    • International Journal of Control, Automation, and Systems
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    • v.2 no.2
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    • pp.182-188
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    • 2004
  • This paper presents a design method of delay-dependent control for T-S fuzzy systems with time delays. Based on parallel distributed compensation (PDC) and a descriptor model transformation of the system, a delay-dependent control is utilized. An appropriate Lyapunov-Krasovskii functional is chosen for delay-dependent stability analysis. A sufficient condition for delay-dependent control is represented in terms of linear matrix inequalities (LMIs).

Robust Control of Input Delayed Systems with Structured Uncertainty (구조화된 불확실성을 갖는 입력지연 시스템의 강인제어)

  • 이보형
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.270-270
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    • 2000
  • Input delay is frequently encountered in the practical systems since measurement delay and computational delay can be represented by input delay. In this viewpoint, this paper deals with the robust control problem of input delayed systems with structured uncertainty. Robust stability conditions are provided in terms of linear matrix inequalities(LMIs) and it is shown that the proposed conditions can give less conservative maximum bound of input delay guaranteeing robust stability.

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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.

On Delay-Dependent Stability of Neutral Systems with Mixed Time-Varying Delay Arguments

  • Park, H.J.
    • KIEE International Transaction on Systems and Control
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    • v.12D no.1
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    • pp.39-42
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    • 2002
  • This paper focuses on the asymptotic stability of a class of neutral linear systems with mixed time-varying delay arguments. Using the Lyapunov method, a delay-dependent stability criterion to guarantee the asymptotic stability for the systems is derived in terms of linear matrix inequalities (LMIs). The LMIs can be easily solved by various convex optimization algorithms. Two numerical examples are given to illustrate the proposed methods.

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Performance Analysis of Telerobotic Systems with Different Haptic and Video Time-delay (햅틱과 영상의 시간지연 차이에 따른 원격조종 로봇시스템의 성능분석)

  • Kim, Ye-Seul;Ryu, Jee-Hwan
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.3
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    • pp.286-292
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    • 2010
  • In this paper, we investigate the relationship between the performance of telerobotic systems and the two independent time-delay on different modality, which are haptic and video. Especially, we try to find some performance improvement when the amount of delay of haptic and video is synchronized. Experiments were conducted with 10 subjects by scanning the amount of video and haptic delay independently. It is rather interesting to note that the teleoperation performance was not that sensitive to video delay, and the synchronized video and haptic delay doesn't show better performance than the case when haptic delay is lower than video delay.

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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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.