• Title/Summary/Keyword: Time Delay System

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Robust and Non-fragile $H^{i~}$ State Feedback Controller Design for Time Delay Systems

  • Cho, Sang-Hyun;Kim, Ki-Tae;Park, Hong-Bae
    • International Journal of Control, Automation, and Systems
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    • v.1 no.4
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    • pp.503-510
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    • 2003
  • This paper describes the synthesis of robust and non-fragile $H^{i~}$state feedback controllers for linear varying systems with time delay and affine parameter uncertainties, as well as static state feedback controller with structural uncertainty. The sufficient condition of controller existence, the design method of robust and non-fragile $H^{i~}$static state feedback controller, and the region of controllers satisfying non-fragility are presented. Also, using some change of variables and Schur complements, the obtained conditions can be rewritten as parameterized Linear Matrix Inequalities (PLMIs), that is, LMIs whose coefficients are functions of a parameter confined to a compact set. We show that the resulting controller guarantees the asymptotic stability and disturbance attenuation of the closed loop system in spite of time delay and controller gain variations within a resulted polytopic region.

Global Asymptotic Stability of a Class of Nonlinear Time-Delay Systems (일종의 비선형 시간 지연 시스템에 대한 광역 점근적 안정성)

  • Choi, Joon-Young
    • Journal of Institute of Control, Robotics and Systems
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    • v.13 no.3
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    • pp.187-191
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    • 2007
  • We analyze the stability property of a class of nonlinear time-delay systems. We show that the state variable is bounded both below and above, and the lower and upper bounds of the state are obtained in terms of a system parameter by using the comparison lemma. We establish a time-delay independent sufficient condition for the global asymptotic stability by employing a Lyapunov-Krasovskii functional obtained from a change of the state variable. The simulation results illustrate the validity of the sufficient condition for the global asymptotic stability.

A method of utilizing the predicted current in the high performance PI current controller with a control time delay (제어 시지연이 있는 고성능 PI 전류제어기에 대한 예측전류의 적용방법)

  • Lee Jin-Woo
    • Proceedings of the KIPE Conference
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    • 2006.06a
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    • pp.1-3
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    • 2006
  • This paper deals with a novel utilization method of the predicted current in the high performance PI current controller with a control time delay. The inevitable error of the predicted current in the linear servo drive using a permanent magnet linear synchronous motor is analyzed and a modified cross-coupling decoupling synchronous frame PI current controller is proposed in order to improve the current control response under the control time delay. Simulation and experimental results show that the proposed current controller has an improved current control performance under both the electrical uncertainties of a servo drive system and the control time delay.

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Time-Delay Control for Integrated Missile Guidance and Control

  • Park, Bong-Gyun;Kim, Tae-Hun;Tahk, Min-Jea
    • International Journal of Aeronautical and Space Sciences
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    • v.12 no.3
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    • pp.260-265
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    • 2011
  • In this paper, integrated missile guidance and control systems using time-delay control (TDC) are developed. The next generation missile requires that an interceptor hits the target, maneuvering with small miss-distances, and has lower weight to reduce costs. This is possible if the synergism existing between the guidance and control subsystems is exploited by the integrated controller. The TDC law is a robust control technique for nonlinear systems, and it has a very simple structure. The feature of TDC is to directly estimate the unknown dynamics and the unexpected disturbance using one-step time-delay. To investigate the performance of the integrated controller, numerical simulations are performed as the maneuver of the target. The results show that the integrated guidance and control system has a good performance.

Indirect Adaptive Pole Assignment PID Controllers for Unknown Systems with time varying delay (시변 지연시간을 가지는 미지의 시스템에 대한 간접 극배치 적응 PID 제어기)

  • Nam, Hyun-Do;Ahn, Dong-Jun
    • Proceedings of the KIEE Conference
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    • 1988.07a
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    • pp.913-916
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    • 1988
  • Indirect adaptive pole assignment PID controllers for unknown systems with time varying delay, is proposed. Unknown system parameters are estimated by recursive least square method, and time varying delay is estimated using indirect predictors. Since the order of parameter vectors didn't increase, the computational burden is not largely increased in spite of using indirect adaptive control method with time varying delay estimation. Computer simulation is performed to illustrate the efficiency of the proposed method.

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Compensation for Time Delay of Sensors for Driving Motors by Networks (네트워크에 의한 전동기 구동용 센서의 시간지연 보상)

  • Ahn, J.R.;Chun, T.W.;Lee, H.H.;Kim, H.G.;Nho, E.C.
    • Proceedings of the KIPE Conference
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    • 2005.07a
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    • pp.587-590
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    • 2005
  • In this paper, the PWM inverter-motor drive system including sensor is controlled through the network. The algorithm to compensate for the time delay of ac current and ac voltage sensors due to the network is proposed. The delay time of sensors is kept nearly constant, using the synchronous signal and timers. The error between the real and estimated ac signals can be reduced by using two slopes for estimating the value of at signals. The proposed algorithms are verified with the simulation studies and experiments.

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Design and Stability Analysis of Impedance Controller for Bilateral Teleoperation under a Time Delay

  • Cho, Hyun-Chul;Park, Jong-Hyeon
    • Journal of Mechanical Science and Technology
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    • v.18 no.7
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    • pp.1131-1139
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    • 2004
  • A new impedance controller is proposed for bilateral teleoperation under a time delay. The proposed controller does not need to measure or estimate the time delay in the communication channel using the force loop-back. In designing a stable impedance controller, absolute stability is used as a stability analysis tool, which results in a less conservative controller than the passivity concept. Moreover, in order to remove the conservatism associated with the assumption of infinite port impedances, the boundaries of human and environment impedance are set to finite values. Based on this, this paper proposes a parameter design procedure for stable impedance controllers. The validity of the proposed control scheme is demonstrated by experiments with a 1-dof master/slave system.

Analysis of Real-time Error for Geo/D/1/1 Model (Geo/D/1/1 모형에서의 실시간 원격 추정값의 오차 분석)

  • Yutae, Lee
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.27 no.1
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    • pp.135-138
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    • 2023
  • In this paper, we study real-time error in the context of monitoring a binary information source through a delay system. To derive the average real-time error, we model the delay system as a discrete time Geo/D/1/1 queueing model. Using a discrete time three-dimensional Markov chain with finite state space, we analyze the queueing model. We also perform some numerical analysis on various system parameters: state transition probabilities of binary information source; transmission times; and transmission frequencies. When the state changes of the information source are positively correlated and negatively correlated, we investigate the relationship between transmission time and transmission frequency.

Analysis of Real-time Error for Remote Estimation Based on Binary Markov Chain Model (이진 마르코프 연쇄 모형 기반 실시간 원격 추정값의 오차 분석)

  • Lee, Yutae
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.26 no.2
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    • pp.317-320
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    • 2022
  • This paper studies real-time error in the context of monitoring a symmetric binary information source over a delay system. To obtain the average real-time error, the delay system is modeled and analyzed as a discrete time Markov chain with a finite state space. Numerical analysis is performed on various system parameters such as state transition probabilities of information source, transmission times, and transmission frequencies. Given state transition probabilities and transmission times, we investigate the relationship between the transmission frequency and the average real-time error. The results can be used to investigate the relationship between real-time errors and age of information.

Delay-dependent Stabilization of Singular Systems with Multiple Internal and External Incommensurate Constant Point Delays

  • Xie, Yong-Fang;Gui, Wei-Hua;Jiang, Zhao-Hui
    • International Journal of Control, Automation, and Systems
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    • v.6 no.4
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    • pp.515-525
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    • 2008
  • In this paper, the problem of delay-dependent stabilization for singular systems with multiple internal and external incommensurate constant point delays is investigated. The condition when a singular system subject to point delays is regular independent of time delays is given and it can be easily test with numerical or algebraic methods. Based on Lyapunov-Krasovskii functional approach and the descriptor integral-inequality lemma, a sufficient condition for delay-dependent stability is obtained. The main idea is to design multiple memoryless state feedback control laws such that the resulting closed-loop system is regular independent of time delays, impulse free, and asymptotically stable via solving a strict linear matrix inequality (LMI) problem. An explicit expression for the desired memoryless state feedback control laws is also given. Finally, a numerical example illustrates the effectiveness and the availability for the proposed method.