• Title/Summary/Keyword: Input Delay

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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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Input Time-Delay Compensation for a Nonlinear Control System

  • Choi, Yong-Ho;Chong, Kil-To
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.395-400
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    • 2004
  • In most physical processes, the transfer function includes time-delay, and in the general distributed control system using computer network, there exists inherent time-delay caused by the spatial separation between controllers and actuators. This work deals with the synthesis of a discrete-time controller for a nonlinear system and proposes a new effective method to compensate the influence of input time-delay. The controller is synthesized by using input/output linearization. Under the circumstance that input time-delay exists, the system response has more overshoot and tends to diverge. For these reasons, the controller has to produce future input value that will be needed for the system. In order to calculate the future input value, some predictors are adopted. Using the discretization via Euler's method, numerical simulations about the Van der Pol system are performed to evaluate the performance of the proposed method.

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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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Stochastic Stabilization of TS Fuzzy System with Markovian Input Delay (마코프 입력 지연 시스템의 확률적 안정화)

  • Lee, Ho-Jae;Park, Jin-Bae;Lee, Sang-Youn;Joo, Young-Hoon
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 2001.12a
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    • pp.153-156
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    • 2001
  • This paper discusses a stochastic stabilization of Takagi-Sugeno (75) fuzzy system with Markovian input delay. The finite Markovian process is adopted to model the input delay of the overall control system. It is assumed that the zero and hold devices are used for control input. The continuous-time 75 fuzzy system with the Markovian input delay is discretized for easy handling delay, accordingly, the discretized 75 fuzzy system is represented by a discrete-time 75 fuzzy system with jumping parameters. The stochastic stabilizibility of the jump 75 fuzzy system is derived and formulated in terms of linear matrix inequalities (LMls).

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

  • Choi Hyung Jo;Park Ji Hyang;Lee Su Young;Chong Kil To
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.1
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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.

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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Controller Synthesis of A Nonlinear System Using Input/Output Linearization and Compensation for Input Time-Delay (비선형 시스템의 입/출력 선형화 제어기 설계와 입력 시간-지연 보상)

  • Cho, Yong-Ho;Chong, Kil-To
    • Proceedings of the KSME Conference
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    • 2004.04a
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    • pp.768-773
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    • 2004
  • This work deals with the synthesis of discrete-time nonlinear controller for input time-delay existing nonlinear system and proposes a new effective method to compensate the influence of input time-delay. The controller is synthesised by using input/output linearization. Under the circumstance that input time-delay exist, controller have to produce future value that will be needed for system. On account of this reason described, a weighted average predictor of combined states is adopted. Using the discretization via Euler method, numerical simulations about Van der Pol system are performed to evaluate performance of the proposed method.

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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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    • 2005.06a
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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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Sliding Mode Control for Robust Stabilization of Uncertain Input-Delay Systems

  • Roh, Young-Hoon;Oh, Jun-Ho
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.2
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    • pp.98-103
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    • 2000
  • This paper is concerned with a delay-dependent sliding mode scheme for the robust stabilization of input-delay systems with bounded unknown uncertainties. A sliding surface based ona predictor is proposed to minimize the effect of the input delay. Then, a robust control law is derived to ensure the existence of a sliding mode on the surface. In input-delay systems, uncertainties given during te delayed time are not directly controlled by the switching control because of causality prolem of them. They can influence the stability of the system in the sliding mode. Hence, a delay-dependent stability analysis for reduced order dynamics is employed to estimate maximum delay bound such that the system is globally asymptotically stable in the sliding mode. A numerical example is given to illustrate the design procedure.

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