• Title/Summary/Keyword: Time-invariant Linear system

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A pole assignment method in a specified disk

  • Nguyen, van-Giap;Kim, Sang-Bong
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.601-604
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    • 1997
  • In this paper, a pole assignment problem in the unit disk for a linear discrete system is discussed. The analysis is based on the Luenberger's canonical form and Gershgorin's disk. The proposed method for pole assignment is convenient for a linear time invariant discrete system.

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Implementation of System Retrieving Multi-Object Image Using Property of Moments (모멘트 특성을 이용한 다중 객체 이미지 검색 시스템 구현)

  • 안광일;안재형
    • Journal of Korea Multimedia Society
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    • v.3 no.5
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    • pp.454-460
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    • 2000
  • To retrieve complex data such as images, the content-based retrieval method rather than keyword based method is required. In this paper, we implemented a content-based image retrieval system which retrieves object of user query effectively using invariant moments which have invariant properties about linear transformation like position transition, rotation and scaling. To extract the shape feature of objects in an image, we propose a labeling algorithm that extracts objects from an image and apply invariant moments to each object. Hashing method is also applied to reduce a retrieval time and index images effectively. The experimental results demonstrate the high retrieval efficiency i.e precision 85%, recall 23%. Consequently, our retrieval system shows better performance than the conventional system that cannot express the shale of objects exactly.

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Model Reference Adaptive Control of a Linear Time-Varying System with an Additional Compensation Term (추가 보정항을 이용한 시변 시스템의 기준 모델 적응 제어)

  • Lee, Dong-Hyun;Yoon, Tae-Woong
    • Proceedings of the KIEE Conference
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    • 2002.11c
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    • pp.54-57
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    • 2002
  • In this paper model reference adaptive control (MRAC) of linear time-varying(LTV) systems is considered. MRAC for a linear time invariant(LTI) system does not assure the boundedness of the output and parameter estimation errors in the presence of time variations of the parameters. However, changing the adaptive laws such as use of $\sigma$-modification can result in the boundedness of the output and parameter estimation errors[5]. Together with the $\sigma$-modification in the adaptive law, we also modify the control law by adding an additional term to the standard control law. The additional term leads to smaller bounds of the output and parameter estimation errors when compared to the case where only the standard control law is applied.

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Wavelet-based Analysis for Singularly Perturbed Linear Systems Via Decomposition Method (웨이블릿 및 시스템 분할을 이용한 특이섭동 선형 시스템 해석)

  • Kim, Beom-Soo;Shim, Il-Joo
    • Journal of Institute of Control, Robotics and Systems
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    • v.14 no.12
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    • pp.1270-1277
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    • 2008
  • A Haar wavelet based numerical method for solving singularly perturbed linear time invariant system is presented in this paper. The reduced pure slow and pure fast subsystems are obtained by decoupling the singularly perturbed system and differential matrix equations are converted into algebraic Sylvester matrix equations via Haar wavelet technique. The operational matrix of integration and its inverse matrix are utilized to reduce the computational time to the solution of algebraic matrix equations. Finally a numerical example is given to demonstrate the validity and applicability of the proposed method.

Design of self-tuning controller utilizing neural network (신경회로망기법을 이용한 자기동조제어기 설계)

  • 구영모;이윤섭;김대종;임은빈;우광방
    • 제어로봇시스템학회:학술대회논문집
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    • 1989.10a
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    • pp.399-401
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    • 1989
  • Utilizing an interconnected set of neuron-like elements, the present study is to provide a method of parameter estimation for a second order linear time invariant system of self-tuning controller. The result from the proposed method is evaluated by comparing with those obtained by the recursive least square (RLS) identification algorithm and extended recursive least square (ERLS) algorithm, and it shows that, although the smoothness of system performance is still to be improved, the effectiveness of shorter computing time is demonstrated which may be of considerable value to real time computing.

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Model reduction by the eigenvalue selected considering the error of the power series (멱급수 오차를 고려하여 선택된 고유치에 의한 모델 저차화 방법)

  • 김원호;최태호
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.155-160
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    • 1987
  • In this paper, the model reduction method of the linear time invariant continuous systems is proposed. The denominator of reduced order model is determined by the eigenvalue selected considering the error of the power series that exists between original system and reduced order system at each time moments. And the numerator of model is founded by the time moment matching method. The method suggested is compared with other various methods in examples.

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An LMI Approach to Nonlinear Sliding Surface Design (비선형 슬라이딩 평면의 설계를 위한 LMI 접근법)

  • Choi, Han-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.12
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    • pp.1197-1200
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    • 2010
  • The problem of designing a nonlinear sliding surface for an uncertain system is considered. The proposed sliding surface comprises a linear time invariant term and an additional time varying nonlinear term. It is assumed that a linear sliding surface parameter matrix guaranteeing the asymptotic stability of the sliding mode dynamics is given. The linear sliding surface parameter matrix is used for the linear term of the proposed sliding surface. The additional nonlinear term is designed so that a Lyapunov function decreases more rapidly. By including the additional nonlinear term to the linear sliding surface parameter matrix we obtain a nonlinear sliding surface such that the speed of responses is improved. We also give a switching feedback control law inducing a stable sliding motion in finite time. Finally, we give an LMI-based design algorithm, together with a design example.

Model simplification using the energy dispersion method (에너지 분산 방법을 이용한 모델 간소화)

  • 권기호;최계근
    • 제어로봇시스템학회:학술대회논문집
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    • 1986.10a
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    • pp.65-67
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    • 1986
  • The model simplification method of the linear time invariant continuous system is proposed. Using the energy dispersion method the dynamic modes with dominent energy contribution are selected, and the poles of the denomenater are retained. And there is investigated how the dynamic modes affected the system characteristic. The parameters of the numerator are determined by time moment matching method. This method is that the algorithm is simple and also the simplified model found is always stable if the original system is stable, and through examples we assured that this method leads to good results in both transient and steady state responses.

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A Consideration on the Applicability of the Discrete-Time Models of Linearly Time-Varying Systems to Digital Signal Processing (선형 시변 시스템에서의 이산 시간 모델의 신호처리 적용성 고찰)

  • Kwon, Soon-Man;Lee, Jong-Moo;Park, Min-Kook;Kim, Choon-Kyung;Cheon, Jong-Min
    • Proceedings of the KIEE Conference
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    • 2005.10b
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    • pp.267-269
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    • 2005
  • This paper describes a consideration on the sampling in linearly time-varying (LTV) systems in view of the convenience in digital signal processing. The relation between a continuous-time and a discrete-time system models is investigated for a simple linear time-invariant system. Based on the results of the investigation, we first consider discrete-time models for LTV systems, Then the simplicity of the models in terms of microprocessor-based digital signal processing is compared.

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