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An LMI-based Decentralized Sliding Mode Control Design Method for Large Scale Systems (대규모 시스템을 위한 LMI기반 비집중화 슬라이딩 모드 제어기 설계)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.11 no.8
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    • pp.651-655
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    • 2005
  • In this paper, we consider the problem of designing decentralized sliding mode control laws far a class of large scale systems with mismatched uncertainties. We derive a sufficient condition far the existence of a linear switching surface in terms of a linear matrix inequalities(LMIs), and we parameterize the linear switching surfaces in terms of the solution matrices to the given LMI existence conditions. We also give an algorithm for designing decentralized switching feedback control laws. Finally, we give a design example in order to show the effectiveness of our method.

Nonfragile Guaranteed Cost Controller Design for Uncertain Large-Scale Systems (섭동을 갖는 대규모 시스템의 비약성 성능보장 제어기 설계)

  • Park, Ju-Hyeon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.51 no.11
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    • pp.503-509
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    • 2002
  • In this paper, the robust non-fragile guaranteed cost control problem is studied for a class of linear large-scale systems with uncertainties and a given quadratic cost functions. The uncertainty in the system is assumed to be norm-bounded and time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounded controller gain variations. The problem is to design a state feedback control laws such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainties and controller gain variations. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the robust non-fragile guaranteed cost controllers is given in terms of the feasible solutions to a certain LMI. A numerical example is given to illustrate the proposed method.

Characteristic Analysis of a rotary small-scale model of a linear induction motor used for an urban railway transit (철도차량용 LIM의 회전형 축소모델의 특성 해석)

  • Yang, Won-Jin;Park, Chan-Bae;Lee, Hyung-Woo;Kwon, Sam-Young;Park, Hyun-June;Won, Chung-Yeun
    • Proceedings of the KSR Conference
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    • 2008.06a
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    • pp.2011-2014
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    • 2008
  • A linear induction motor for urban railway transit is accompanied with the end-effect and large air-gap comparing with a rotary induction motor. These cause amount of difference between simulation results and experiments. In order to figure out the difference, experiments based on a real-scale test bed are indispensable, however building a test-line and a test vehicle is so difficult that authors are going to make a small-scale model and simulate it for comparison. In this paper, A rotary-type small-scale model of a linear induction motor is designed. Thrust and normal force of the model have been analyzed with the variation of frequency and speed by using a Finite Element Method(FEM).

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NON-FRAGILE GUARANTEED COST CONTROL OF UNCERTAIN LARGE-SCALE SYSTEMS WITH TIME-VARYING DELAYS

  • Park, Ju-H.
    • Journal of applied mathematics & informatics
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    • v.9 no.1
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    • pp.61-76
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    • 2002
  • The robust non-fragile guaranteed cost control problem is studied in this paper for class of uncertain linear large-scale systems with time-varying delays in subsystem interconnections and given quadratic cost functions. The uncertainty in the system is assumed to be norm-hounded arid time-varying. Also, the state-feedback gains for subsystems of the large-scale system are assumed to have norm-bounded controller gain variations. The problem is to design state feedback control laws such that the closed-loop system is asymptotically stable and the closed-loop cost function value is not more than a specified upper bound far all admissible uncertainties. Sufficient conditions for the existence of such controllers are derived based on the linear matrix inequality (LMI) approach combined with the Lyapunov method. A parameterized characterization of the robust non-fragile guaranteed cost contrellers is 7iven in terms of the feasible solution to a certain LMI. Finally, in order to show the application of the proposed method, a numerical example is included.

Binaural Filter Design using Warped FIR Structure (WFIR 구조를 이용한 바이노럴 필터 설계)

  • 김동현
    • Proceedings of the Acoustical Society of Korea Conference
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    • 1998.06c
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    • pp.193-196
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    • 1998
  • 지금까지 바이노럴 필터 설계 방법들의 대부분은 linear frequency scale을 이용한 것이지만, 사람의 귀는 non-linear frequency scale을 가지며 critical band에 의한 청각정보를 인지한다. 따라서, 이와 같은 특징을 이용하여 좀 더 효율적으로 바이노럴 필터를 설계할 수 있다. 본 논문에서는 frequency warping을 이용해 non-linear frequency resolution을 갖는 바이노럴 필터를 계산한다. 또한, 종래의 설계방법에 의한 필터와 warped FIR 구조를 갖는 바이노럴 필터와의 비교청취를 통해 성능의 비교 평가를 수행 한다.

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H_ Fault Detection Observer Design for Large Scale Time-Invariant Systems (대규모 선형시불변 시스템을 위한 H_ 고장검출 관측기 설계)

  • Lee, Ho-Jae;Kim, Do-Wan
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.8
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    • pp.818-822
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    • 2009
  • In this paper, we consider a decentralized observer design problem for fault detection in large-scaled linear time-invariant systems. Since the fault detection residual is desired to be sensitive on the fault, we use the H_ index performance criterion. Sufficient conditions for the existence of such an observer is presented in terms of linear matrix inequalities. Simulation results show the effectiveness of the proposed method.

An experimental study on parallel implementation of an iterative method for large scale, sparse linear system (반복기법을 이용한 대규모, 소선형시스템의 병렬처리에 관한 연구)

  • 김상원;장수영
    • Proceedings of the Korean Operations and Management Science Society Conference
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    • 1991.10a
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    • pp.6-22
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    • 1991
  • This thesis presents a parallel implementation of an iterative method for large scale, sparse linear system and gives result of computational experiments performed on both single transputer and multi transputer parallel computers. To solve linear system, we use conjugate gradient method and develope data storage techinique, data communication scheme. In addition to the explanation of conjugate gradient method, the result of computational experiment is summarized.

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Extension and Simplification of Inverse LQ Regulator of Large Scale Systems by Decentralized Control

  • Kubo, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.26-30
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    • 2005
  • An LMI based method to construct a decentralized control law for large scale systems is discussed. It is extended to assure the stability not only of the overall system but also of each subsystem without interconnection. Then, it is simplified to have local feedback loops only for some selected subsystems.

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A Parallel Algorithm for Large-Scale Linear Programs with a Special Structure

  • Oh, Seyoung
    • Journal of the Chungcheong Mathematical Society
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    • v.6 no.1
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    • pp.139-155
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    • 1993
  • A new sequential algorithm and computational results for large-scale linear programs with a special structure were presented in the previous paper [9]. In this paper, a parallel version of the algorithm was developed for a hypercube multiprocessor architecture NCUBE2. Computational results using 128 processors are presented for a randomly generated large-scale sparse or dense problems with the number of variables up to 256 and constraints up to 5 million.

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Linear quadratic regulators of two-time scale systems with eigenvalue placement in a vertical strip (수직스트립으로의 고유치배치에 의한 두시간스케일 시스템에서의 선형2차 동조기 구현)

  • 엄태호;김수중
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.198-202
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    • 1987
  • The regulator problem can be considered as some impulsive disturbance rejection one. In this point of view, the rate of decay is one of important factors for regulation and depends on how negative the real parts of the eigenvalues of closed-loop system. The algorithm that the closed-loop system has eigenvalues lying within a vertical. strip is useful for rapid disturbance rejection. This paper presents a design method for a linear quadratic regulator of two-time scale system with eigenvalues in a vertical strip by use of time-scale separation property.

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