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

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An Efficient Approach in Analyzing Linear Time-Varying Systems via Taylor Polynomials (Taylor 다항식에 의한 선형 시변 시스템의 효과적인 해석)

  • Lee, Hai-Young;Bien, Zeung-Nam
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.25 no.10
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    • pp.1166-1172
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    • 1988
  • This paper presents an efficient method of analyzing linear time-varying systems via Taylor polynomials. While the approach suggested by Sparis and Mouroutsos gives an implicit form for unknown state vector and requires to solve a linear algebraic equation with large dimension when the number of terms increases, the method proposed in this paper shows an explicit form and has no need to solve any linear algebraic equation.

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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.

Nonlinear Modification Scheme for Reducing Cautiousness of Linear Robust Control

  • Maki, Midori;Hagino, Kojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 1999.10a
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    • pp.108-111
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    • 1999
  • In this paper, we develope a composite control law for linear systems with norm-bounded time-varying parameter uncertainties, which consists of a basic linear robust control do-signed so as to generate a desired transient time-response for the worst-case parameter variation and a nonlinear modification term designed so as to reduce cautiousness of the linear robust control in an adaptive manner. The proposed controller is established such that the reduction of cautiousness of the linear robust control is well incorporated into the achievement of a good transient behavior.

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The Interpreter for the Bounded of the Uncertainty to transfer a Class of Time-varying Linear System with the uncertainty to the Time-invarying Linear System (불확실성을 갖는 선형 시변 시스템의 선형 시불변 시스템 변환을 위한 불확실성 유계 해석)

  • Cho, Do-Hyeoun;Lee, Jong-Yong
    • 전자공학회논문지 IE
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    • v.44 no.4
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    • pp.19-25
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    • 2007
  • In this paper, we consider the input-state(I/S) transformation for the time-varying linear system with the uncertainty because of to determine the bounded range of the uncertainty. And we get the time-invarying linear system after the I/S transformation. We present the necessary sufficient condition for the I/S transformation. The transformed system represent the system with the multiple integral. We verify the proposal algorithm via the example and examine.

Predictive Closed-Loop Power Control for CDMA Systems in Time-Varying Fading Channels (시변 페이딩 채널하에 CDMA 시스템을 위한 예측 폐루프 전력제어)

  • Choe, Sang-Ho
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.30 no.11A
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    • pp.1021-1026
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    • 2005
  • In this paper, we present a novel predictive CDMA closed-loop power control (CLPC) method with a multi-step least squares (LS) linear predictor for time-varying fading channels. The proposed method effectively compensates multiple power control group delays and provides significant performance gains over nonpredictive CLPCs as well as conventional predictive CLPCs with one-step linear predictor.

LTI model realization problem of linear periodic discrete-time systems

  • Su, Laiping;Saito, Osami;Abe, Kenichi
    • 제어로봇시스템학회:학술대회논문집
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    • 1990.10b
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    • pp.1139-1144
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    • 1990
  • In this paper, we consider linear periodic discrete-time control systems under periodic compensation. Such a closed-loop system generally represents a periodic time-varying system. We examine the problem of finding a compensator such that the closed-loop system is realized as LTI model (if possible) with the closed-loop stability being satisfied. We present a necessary and sufficient condition for solving such problem and also give the characterization of realizable LTI models.

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A Balanced Model Reduction for Fuzzy Systems with Time Varying Delay

  • Yoo, Seog-Hwan;Park, Byung-Jae
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.4 no.1
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    • pp.1-6
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    • 2004
  • This paper deals with a balanced model reduction for T-S(Takagi-Sugeno) fuzzy systems with time varying state delay. We define a generalized controllability gramian and a generalized observability gramian for a stable T-S fuzzy delayed systems. We obtain a balanced state space realization using the generalized controllability and observability gramian and obtain a reduced model by truncating states from the balanced state space realization. We also present an upper bound of the approximation error. The generalized controllability gramian and observability gramian can be computed from solutions of linear matrix inequalities. We demonstrate the efficacy of the suggested method by illustrating a numerical example.

Variable structure control for matched and unmatched uncertainty with quadratic criterion

  • Rhee, Bond-Jae;Park, Ju-Hyun;Won, Sangchul
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.458-463
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    • 1997
  • In this paper, we propose a variable structure control approach for the system with matched and unmatched uncertainty. By using time-varying sliding mode, the reaching mode is removed, and the design methodology represents a realistic design approach with quadratic criterion for systems incorporating both matched and unmatched uncertainties. The criterion contains states and linear part of input for all time. The practical application of the control strategy is presented in the design of a stability augmentation system for an aircraft is presented.

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State feedback controller design for linear multivariable systems with delays (다변수 시간지연 시스템의 상태궤환 제어기 설계)

  • 홍석민;황승구;이상정
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.1040-1044
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    • 1992
  • This paper presents an algebraic approach for finding a dynamic state feedback controller when the linear multi-input system with delays in both state and input is controllable. In the time-delay case, controllability of the system does not always imply that system is cyclizable. Therefore, reduced order augmentation systems which is cyclizable as the time-varying case are considered. It is possible to construct feedback contorl systems by using single-input methods.

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On a Stability Region of Liner Time-Varying Systems (선형시변 시스템의 안정도 영역에 관하여)

  • 최종호;장태정
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.7
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    • pp.484-489
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    • 1988
  • Sufficient conditions concerning the perturbation region of system parameters, which guarantee the asymptotic stability of linear time- varying systems, are presented. These conditions are obtained by Lyapunov function approach for continuous-time and discrete-time systems. Also, a computational algorithm using nonlinear programming is proposed for finding the maximum perturbation region which satisfies the sufficient condition for the continuous-time systems. The technique of finding the solution for the continuous-time systems can also be applied to the discrete-time systems. In the continuous-time case, it is shown by an example that the method proposed in this paper yields much larger perturbation region of parameters than other previously reported results. An example of the perturbation region of system paramters for the discrete-time system is also given.

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