• Title/Summary/Keyword: Time-Varying System

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A Frozen Time Receding Horizon Control for a Linear Discrete Time-Varying System (선형 이산 시변시스템을 위한 고정시간 이동구간 제어)

  • Oh, Myung-Hwan;Oh, Jun-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.2
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    • pp.140-144
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    • 2010
  • In the case of a linear time-varying system, it is difficult to apply the conventional stability conditions of RHC (Receding Horizon Control) to real physical systems because of computational complexity comes from time-varying system and backward Riccati equation. Therefore, in this study, a frozen time RHC for a linear discrete time-varying system is proposed. Since the proposed control law is obtained by time-invariant Riccati equation solved by forward iterations at each control time, its stability can be ensured by matrix inequality condition and the stability condition based on horizon for a time-invariant system, and they can be applied to real physical systems effectively in comparison with the conventional RHC.

Stability Condition for Discrete Interval Time-Varying System with Unstructured Uncertainty and Time-Varying Delay Time (비구조화된 불확실성과 시변 지연시간을 갖는 이산 시변 구간 시스템의 안정조건)

  • Hyung-seok Han
    • Journal of Advanced Navigation Technology
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    • v.26 no.6
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    • pp.504-509
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    • 2022
  • In this paper, we deal with the stability condition of linear time-varying interval discrete systems with time-varying delays and unstructured uncertainty. For the time-varying interval discrete system which has interval matrix as its system matrices, time-varying delay time within some interval value and unstructured uncertainty which can include non-linearity and be expressed by only its magnitude, the stability condition is proposed. Compared with the previous result derived by using a upper bound solution of the Lyapunov equation, the new result is derived by the form of simple inequality based on Lyapunov stability condition and has the advantage of being more effective in checking stability. Furthermore, the proposed condition is very comprehensive, powerful and inclusive the previously published conditions of various linear discrete systems, and can be expressed by the terms of magnitudes of the time-varying delay time and uncertainty, and bounds of interval matrices. The superiority of the new condition is shown in the derivation, and the usefulness and advantage of the proposed condition are examined through numerical example.

A Walsh-Hadamard Transform Adaptive Filter with Time-varying Step Size. (가변 스텝사이즈를 갖는 월시-아다말 변환 적응 필터)

  • 오신범;이채욱
    • Proceedings of the IEEK Conference
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    • 1998.10a
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    • pp.1175-1178
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    • 1998
  • we propose the Walsh-Hadamard Transform adaptive filter with time-varying step size. The performance of the proposed algorithm is evealuated in system identification where computer simulations are performed for both time-invariant and time-varying system. It is shown that the proposed algorithm produces good results compared with similar algorithms under different conditions, particularly in case of time-varying circumstance.

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Passive-based Bilateral Controller Design under Varying Time Delay

  • Gu, Ying;Chong, Kil-To
    • Proceedings of the IEEK Conference
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    • 2009.05a
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    • pp.97-99
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    • 2009
  • Bilateral teleoperation systems, connected to computer networks such as Internet have to deal with the time delay varying depending on factors such as congestion, bandwidth or distance. And the entire system is easy to become unstable due to irregular time delay. Passivity concept has been using as a framework to solve the stability problem in bilateral control of teleoperation. Acontrol scheme for teleoperation systems with varying time delay is proposed based on a passivity concept is proposed in this paper. One approach makinguse of the characteristic impedances is proposed to achieve a passive control. Since passive control does not mean that the system performance will be acceptable, another transmission scheme which focuses on both the passive feature and the acceptable performance is configured for varying time delay in this paper. The tracking performance has been proved through the computer simulation for varying time delay bilateral teleoperation system using Matlab Simulink.

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Eigenvalue Assignment for Linear Time-Varying Systems via Ackermann-like Formula (선형 시변 시스템의 고유치 지정을 위한 Ackermann형 공식)

  • 이호철;최재원
    • Journal of Institute of Control, Robotics and Systems
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    • v.9 no.3
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    • pp.186-195
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    • 2003
  • This paper deals with eigenvalue assignment techniques for linear time-varying systems as a way of achieving feedback stabilization. For this, the novel eigenvalue concepts, which are the time-varying counterparts of the conventional (time-invariant) eigenvalue notions, are introduced. Then, the Ackermann-like formulae for SISO/MIMO linear time-varying systems are proposed. It is believed that these techniques are the generalized versions of the Ackermann formulae for linear time-invariant systems. The advantages of the proposed Ackermann-like formulae are that they neither require the transformation of the original system into the phase-variable form nor compute the eigenvalues of the original system. Two examples are given to demonstrate the capabilities of the proposed techniques.

Robust Controller Design for Uncertain Dynamic System Using Time Delay Control and Sliding Mode Control Method (시간지연 제어와 슬라이딩모드 제어기법을 이용한 불확실한 동적 시스템의 강인 제어기 설계)

  • 박병석;이인성;윤지섭;강이석
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.225-225
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    • 2000
  • We propose the hybrid robust controller for TDC(Time Delay Control) and SMC(Sliding Mode Control) method. TDC and SMC deal with the time-varying system parameters, unknown dynamics and unexpected disturbance. This controller is applied to follow the desired reference model for the uncertain time-varying overhead crane. The control performance is evaluated through simulation. The theoretical results indicate That the proposed controller shows excellent performance to an overhead crane with the uncertain time-varying parameters and disturbance.

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Configuration of Simulation Object for Time Varying Time Delay Functions (시변 시간지연 함수를 위한 시뮬레이션 객체의 구성)

  • Soon-Man Choi
    • Journal of Advanced Marine Engineering and Technology
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    • v.28 no.4
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    • pp.603-610
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    • 2004
  • Time delays are included in most of actual systems, and some of which are shown as time varying. To analyze the time varying time delay system in the time domain. a useful delay module to express the function as a tool is much helpful to get corresponding outputs under given conditions. A method is proposed here to design the algorithm of time delay module for simulation or control purposes, including the problems of initializing and reallocating data in buffer. After classifying the time varying time delay into the distributed mode and lumped mode, an object to describe delay module is configured and tested under the defined input signal and given time delay variation. The simulation results show that the output of module matches reasonably with the case of real system.

Investigation of the Estimation of Time-Varying Voltage Sags Considering the Short Circuit Contributions of Rotating Machines (회전기의 기여에 의한 시변성의 순간전압강하 예측에 관한 연구)

  • Yun Sang-Yun
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.54 no.6
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    • pp.315-322
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    • 2005
  • In this article, 1 would like to explore the estimation method of time-varying voltage sags in large industrial systems considering the short circuit contributions of rotating machines. For the power distribution system of KEPCO(Korea Electric Power Corporation), the magnitude of initial symmetrical short circuit current is generally not changed. However, in industrial systems which contain a number of rotating machines, the magnitude of voltage sag is generally changed from the initial to the clearing time of a fault due to the decreasing contribution of rotating machines for a fault current. The time-varying characteristics of voltage sags can be calculated using a short circuit analysis that is considered the time-varying fault currents. For this, the prediction formulations of time-varying voltage sags are proposed using a foreign standard. The proposed method contains the consideration of generator and motor effects. For the test of proposed formulations, a simple system of industrial consumer is used for the comparison conventional and proposed estimation method of voltage sag characteristics.

A New Gain Scheduled QFT Method Based on Neural Networks for Linear Time-Varying System (선형 시변시스템을 위한 신경망 기반의 새로운 이득계획 QFT 기법)

  • Park, Jae-Seon;Im, Ki-Hong
    • Journal of Institute of Control, Robotics and Systems
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    • v.6 no.9
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    • pp.758-767
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    • 2000
  • The properties of linear time-varying(LTV) systems vary because of the time-varying property of plant parameters. The generalized controller design method for linear time-varying systems does not exit because the analytic soultion of dynamic equation has not been found yet. Hence, to design a controller for LTV systems, the robust control methods for uncertain LTI systems which are the approximation of LTV systems have been generally ised omstead. However, these methods are not sufficient to reflect the fast dynamics of the original time-varying systems such as missiles and supersonic aircraft. In general, both the performance and the robustness of the control system which is designed with these are not satisfactory. In addition, since a better model will give the more robustness to the controlled system, a gain scheduling technique based on LTI controller design methods has been uesd to solve time problem. Therefore, we propose a new gain scheduled QFT method for LTV systems based on neural networks in this paper. The gain scheduled QFT involves gain dcheduling procedured which are the first trial for QFT and are well suited consideration of the properties of the existing QFT method. The proposed method is illustrated by a numerical example.

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Adaptive control of time varying system (시변시스템의 적응제어에 관한 연구)

  • 곽유식;양해원
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.264-267
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    • 1988
  • One of the major reasons of Adaptive Control is to control time varying systems. In this paper new adaptive algorithms are suggested for a class of linear time varying systems that satisfy certain assumptions. These algorithms consist of three modules, modeling, parameter estimation and control. The key feature of this paper is that power series of time varying parameters are used for estimation.

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