• Title/Summary/Keyword: linear time-varying system

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The robust control for a linear time-varying system using state transformation (상태 변환을 이용한 선형 시변 시스템에 대한 강건한 제어)

  • Cho, Do-Hyeoun;Lee, Sang-Hyo
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.1
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    • pp.1-9
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    • 1998
  • This paper is focussed on the problem of robustly stabilizing a transformable linear time-varying system. The considered system is a class of state feedback transformable linear systems. First, the real linear time-varying system is transformed into the linear time invariant system composed with the time-invariant linear part and the time-varying uncertainty part. Second, the solution to a quadratic stabilization problem in the transformed linear system is give via' Lyapunov methods. Then this solution is used to construct a stabilizing linear control law for the real linear time-varying system.

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Wavelet network approximation and coefficient learning of linear-time-varying system (시변 선형 시스템의 웨이브렛망 근사화와 가중치의 학습)

  • 이영석;김동옥;서보혁
    • 제어로봇시스템학회:학술대회논문집
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    • pp.728-731
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    • 1997
  • This paper discusses approximation modelling of discrete-time linear time-varying system(LTVS). The wavelet transform is considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulation results is included to illustrate the potential application of the technique.

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Approximation of Linear Time-Varying System Using Wavelet Transform (웨이브렛 변환을 이용한 시변 선형 시스템의 근사화)

  • Lee, Young-Seog;Kim, Dong-Ok;Ahn, Dae-Chan;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • pp.717-719
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    • 1997
  • This paper discusses approximate modelling of discrete-time linear time-varying system(LTVS). The wavelet transform is considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulatly results is included to illustrate the popential application of the technique.

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Eigenstructure-Based Robust Stability Criterion for Linear Time-Varying Systems

  • Lee, Ho-Chul;Park, Jae-Weon
    • 제어로봇시스템학회:학술대회논문집
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    • pp.44.3-44
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    • 2002
  • Stability robustness of a linear time-varying system with time-varying structured state space uncertainties is considered by using extended-mean theorem and Bellman's lemma. The extended-mean theorem is a necessary and sufficient exponential stability criterion based on the recently developed PD-eigenvalue and PD-eigenvector for a linear time-varying system. Our new result required that the extended-mean of each nominal PD-eigenvalue should be negative real which is determined by a norm involving the structures of the uncertainty and the no...

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A Study on Approximation Method of Linear-Time-Varying System Using Wavelet (웨이브렛을 이용한 선형 시변 시스템의 근사화기법에 관한 연구)

  • 이영석;김동옥;서보혁
    • Journal of the Korean Institute of Telematics and Electronics T
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    • v.35T no.1
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    • pp.33-39
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    • 1998
  • This paper discusses approximation modelling of discrete-time linear time-varying system(LTVS). The wavelet transform is considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulation results is included to illustrate the potential application of the technique.

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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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A stability region of linear time-varying systems (선형 시변 시스템의 안정도 영역)

  • 최종호;장태정
    • 제어로봇시스템학회:학술대회논문집
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    • pp.130-134
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    • 1987
  • 이 논문에서는 매개변수(parameter)들이 시간에 따라 변하는 선형 시변 시스템(linear time-varying system)에서 시스템의 안정도(stability)를 보장할 수 있는 매개변수들의 변동영역(perturbation region of parameters)에 대한 충분조건을 시간영역에서 Lyapunov 방법을 사용하여 구하였다. 그리고 이 충분조건을 만족하는 매개변수 변동영역을 비선형 계획법(nonlinear programing)을 이용하여 구하는 방법을 제시하였다. 시뮬레이션 결과 이 방법으로 지금까지 이루어져 왔던 다른 연구 결과들보다 더 넓고 다양한 매개변수 변동영역을 구할 수 있었다.

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The Study of Wavelet Theory for System Identifications (웨이브렛과 유전 알고리즘을 이용한 시스템 근사화)

  • Lee, Young-Seog;Kim, Dong-Ok;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • pp.638-640
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    • 1998
  • This paper discusses approximation modelling of discrete-time linear time-varying system(LTVS). The wavelet theory and genetic algorithm are considered as a tool for representing and approximating a LTVS. The joint time-frequency properties of wave analysis are appropriate for describing the LTVS. Simulation results is included to illustrate the potential application of the technique.

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A MODEL FOR MYOELECTRIC SIGNAL WITH LOCALIZED MUSCLE FATIGUING

  • Lee, Y.S.;Jeon, C.J.;Lee, S.H.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.7 no.1
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    • pp.79-86
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    • 2003
  • A myoelectric signal, under sustained isometric contraction of muscle the modelled as the output of a linear time-varying system whose input is constant number of pulse train. The proposed model considered localized muscle fatigue by metabolic by-products during sustained fatiguing contraction. To characterize muscle fatiguing model of myoelectric signal, We calculated median frequency of generated signal as fatiguing index of muscle during sustained isometric contraction.

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