• Title/Summary/Keyword: Time Delays

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Delay-dependent Stability Criteria for Uncertain Stochastic Neural Networks with Interval Time-varying Delays (구간 시변 지연이 존재하는 불확실 확률적 뉴럴 네트웍의 지연의존 안전성 판별법)

  • Kwon, Oh-Min;Park, Ju-Hyun;Lee, Sang-Moon
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.57 no.11
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    • pp.2066-2073
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    • 2008
  • In this paper, the problem of global asymptotic stability of uncertain stochastic neural networks with delay is considered. The delay is assumed to be time-varying and belong to a given interval. Based on the Lyapunov stability theory, new delay-dependent stability criteria for the system is derived in terms of LMI(linear matrix inequality). Three numerical examples are given to show the effectiveness of proposed method.

Delay-dependent Robust H Control of Uncertain Linear Systems with Time-varying Delays and Randomly Occurring Disturbances (시변지연과 임의 발생 외란을 고려한 불확실 선형 시스템에 대한 지연의존 강인 H 제어)

  • Kim, Ki-Hoon;Park, Myeong-Jin;Kwon, Oh-Min;Cha, Eun-Jong
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.62 no.5
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    • pp.679-687
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    • 2013
  • This paper proposes a new condition about delay-dependent robust $H_{\infty}$ control of uncertain linear systems with time-varying delay and randomly occurring disturbances. The norm bounded uncertainties are subjected to the system matrices. Based on Lyapunov stability theory, a sufficient condition for designing a controller gain such that the closed-loop systems are asymptotically stable with $H_{\infty}$ disturbance level ${\gamma}$ is formulated in terms of linear matrix inequalities (LMIs). Finally, two numerical examples are included to show the effectiveness of the presented method.

A study on the ramp tracking controller for the Distributed Control Systems with Network-Induced Time Delays by $\mu$-control ($\mu$ 제어에 의한 네트웍의 시간 지연이 존재하는 분산제어시스템의 램프추종 제어기 설계에 관한 연구)

  • Kim, Yong-Ki;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1999.11c
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    • pp.506-508
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    • 1999
  • In the distributed control systems where the control components, controllers and sensors are distributed on a communications network, there exist network time delays on communication lines between the system components. This paper deals with the ramp tracking controller design issue for such systems. Time delay terms are converted into the rational terms using Pade approximation method and the system is augmented with two integrators for ramp tracking. For this system, $\mu$-controller design method, which enables to meet not only performance requirements but robust stabilities simultaneously, is employed.

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Real-Time Networked Control System Design via Ethernet (Ethernet을 통한 실시간 네트워크 제어시스템 설계)

  • Kim, Chang-Yu;Lim, Hyun;Lee, Young-Sam;Kwo, Oh-Kyu
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.136-138
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    • 2006
  • Recently, network systems are widely used in several areas, and some considerable attentions have been directed to the Networked Control System(NCS). In NCS, network-induced delays are inevitable, and they sometimes degrade the performance of networked control systems to be a source of potential instability. In this paper, We proposes a compensation method for networked control system subject to network-induced delays by using a simple method, which is based on a sort of predictive strategy. To evaluate its feasibility and effectiveness, a real-time NCS for a rotary inverted pendulum is implemented via an Ethernet. Based on the experimental results. we show that the proposed simple method can be a practical and feasible solution to NCS design.

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Intelligent Controller for Networked Control Systems with Time-delay (시간지연을 갖는 네트워크 제어 시스템의 지능형 제어기 설계)

  • Bae, Gi-Sun;Joo, Young-Hoon
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.2
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    • pp.139-144
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    • 2011
  • We consider the stabilization problem for a class of networked control systems with random delays in the discrete-time domain. The controller-to-actuator and sensor-to-controller time-delays are modeled as two Markov chains, and the resulting closed-loop systems are Markovian jump nonlinear systems with two modes. The T-S (Takagi-Sugeno) fuzzy model is employed to represent a nonlinear system with Markovian jump parameters. The aim is to design a fuzzy controller such that the closed-loop Markovian jump fuzzy system is stochastically stable. The necessary and sufficient conditions on the existence of stabilizing fuzzy controllers are established in terms of LMIs (Linear Matrix Inequalities). It is shown that fuzzy controller gains are mode-dependent. Finally, a simulation example is presented to illustrate the effectiveness of the proposed design method.

Exponential Stability of Predictor Feedback for Discrete-Time Linear Systems with Input Delays (입력 지연을 갖는 이산시간 선형 시스템을 위한 예측기 피드백의 지수적 안정성)

  • Choi, Joon-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.19 no.7
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    • pp.583-586
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    • 2013
  • We consider discrete-time LTI (Linear Time-Invariant) systems with constant input delays. The input delay is modeled by a first-order PdE (Partial difference Equation) and a backstepping transformation is employed to design a predictor feedback controller. The backstepping approach results in the construction of an explicit Lyapunov function, with which we prove the exponential stability of the closed-loop system formed by the predictor feedback. The numerical example demonstrates the design of the predictor feedback controller, and illustrates the validity of the exponential stability.

Robust Decentralized Stabilization of Uncertain Large-Scale Discrete-Time Systems with Delays (시간지연을 갖는 이산시간 대규모 시스템의 강인 제어기 설계)

  • Park, Ju-Hyeon
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.37 no.6
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    • pp.7-14
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    • 2000
  • This paper describes the synthesis of robust decentralized controllers for uncertain large-scale discrete-time systems with time-delays in subsystem interconnections. Based on the Lyapunov method, a sufficient condition for robust stability, is derived in terms of a linear matrix inequality (LMI). The solutions of the LMI can be easily obtained using various efficient convex optimization techniques. A numerical example is given to illustrate the proposed method.

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A study on the 2 D.O.F. ramp tracking controller for the Distributed Control Systems with Network induced Time-Delays by $\mu$ control (분산 제어 시스템에서의 시간 지연 보상을 위한 2-자유도 $\mu$ 제어기 연구에 관한 연구)

  • Choi, Byung-Huk;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 2001.11c
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    • pp.57-60
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    • 2001
  • In the distributed control systems where the control components, controllers and sensors are distributed on a communications network, there exit network time delays on communication lines between the system components. This paper deals with the 2 D.O.F. ramp tracking controller design issue for such system. Time delay terms are converted into rational terms using Pade approximation method and the system is augmented with two integrators for ramp tracking. For this system, $\mu$-controller design method, which enables to meet not only performance requirements but robust stabilities simultaneously, is employed.

  • PDF

A study on the ramp tracking controller for the Distributed Control System with Network-induced Time Delays (네트웍의 시간 지연이 존재하는 분산제어시스템의 램프추종 제어기 설계에 관한 연구)

  • Kim, Yong-Ki;Lim, Dong-Jin
    • Proceedings of the KIEE Conference
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    • 1999.07b
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    • pp.951-953
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    • 1999
  • In the distributed control systems where the control components, controllers and sensors are distributed on a communications network, there exist network time delays on communication lines between the system components. This paper deals with the ramp tracking controller design issue for such systems. Time delay terms are converted into the rational terms using Pade approximation method and the system is augmented with two integrators for ramp tracking. For this system, ${\mu}$-controller design method, which enables to meet not only performance requirements but robust stabilities simultaneously, is employed.

  • PDF

Consensus Control for Switched Multi-agent Systems with Interval Time-varying Delays (구간 시변 지연을 고려한 전환 멀티-에이전트 시스템에 대한 일치 제어)

  • Park, M.J.;Kwon, O.M.;Lee, S.M.;Park, Ju-H.;Cha, E.J.
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.5
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    • pp.401-406
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    • 2012
  • This paper considers multi-agent systems with interval time-varying delays and switching interconnection topology. By construction of a suitable Lyapunov-Krasovskii's functional, new delay-dependent consensus control conditions for the systems are established in terms of LMIs (Linear Matrix Inequalities) which can be easily solved by various effective optimization algorithms. One numerical example is given to illustrate the effectiveness of the proposed methods.