• Title/Summary/Keyword: 최소위상시스템

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An experimental study on an inverse problem of a non-minimum phase system (비최소 위상 시스템의 역변환 문제에 대한 실험적 고찰)

  • Noh Kyoung Rae;Lee Sang Kwon
    • Proceedings of the Acoustical Society of Korea Conference
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    • autumn
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    • pp.147-150
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    • 2001
  • 본 논문은 비최소 위상을 가지는 시스템에 대한 역변환 문제를 실험적으로 고찰, 연구하였다. 일반적으로 선형적이고 인과적인 시스템의 입$cdot$ 출력관계는 행렬형태로 공식화할 수 있다. 최소위상(minimum phase) 시스템의 시스템행렬은 항상 역행렬이 존재하며 안정적이지만 비최소 위상(non-minimum phase)시스템의 시스템행렬은 근사특이(near-singular)행렬 또는 특이(singular) 행렬이므로 불량조건(ill-conditioning)이 발생하고 역변환이 존재할 수 없다. 비최소 위상 시스템의 역변환 문제는 다른 과정을 포함하지 않고서는 인과적이고 안정적인 역변환 필터를 가질 수 없다. 따라서 역변환 필터의 구현을 위해 SVD(singular value decomposition)를 이용하였다. 비최소 위상 시스템인 경우 시스템행렬은 하나이상의 매우 작은 특이 값을 가지며 이것은 시스템의 위상정보를 가진다. 이 성질을 이용하여 시스템의 근사적인 역변환 필터를 구현하고 비최소 위상을 갖는 외팔보에 대해 실험적으로 검증하였다.

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An Implementation of Inverse Filter Using SVD for Multi-channel Sound Reproduction (SVD를 이용한 다중 채널상에서의 음재생을 위한 역변환 필터의 구현)

  • 이상권;노경래
    • The Journal of the Acoustical Society of Korea
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    • v.20 no.8
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    • pp.3-11
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    • 2001
  • This paper describes an implementation of inverse filter using SVD in order to recover the input in multi-channel system. The matrix formulation in SISO system is extended to MIMO system. In time and frequency domain we investigates the inversion of minimum phase system and non-minimum phase system. To execute an effective inversion of non-minimum phase system, SVD is introduced. First of all we computes singular values of system matrix and then investigates the phase property of system. In case of overall system is non-minimum phase, system matrix has one (or more) very small singular value (s). The very small singular value (s) carries information about phase properties of system. Using this property, approximate inverse filter of overall system is founded. The numerical simulation shows potentials in use of the inverse filter.

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Balanced model reduction of non-minimum phase plant into minimum phase plant (비최소 위상 플랜트의 최소 위상 플랜트로의 균형 모델 저차화)

  • 구세완;권혁성;서병설
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1205-1208
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    • 1996
  • This paper proposes balanced model reduction of non-minimum phase plant. The algorithm presented in this paper is to convert high-order non-minimum phase plant into low-oder minimum phase plant using balanced model reduction. Balanced model reduction requires the error bound that Hankel singular value produces. This algorithm shows the tolerance that admits the method of this paper.

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AMNOR System with Linear Phase Response to the Desired Signal (원하는 신호에 대해 선형 위상 응답 특성을 갖는 AMNOR 시스템)

  • 임병관;조병모;차일환;윤대희
    • The Journal of the Acoustical Society of Korea
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    • v.9 no.6
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    • pp.45-52
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    • 1990
  • 본 논문에서는 원하는 방향에 대해서 선형 위상 응답 특성을 갖는 적응 빔 형성기에 대해서 설 명한다. 본 논문에서는 제안하는 빔 형성기는 원하는 신호에 대해서 선형 위상 응답 특성을 얻기 위해 전방 적응 빔 형성기와 후방 적응 빔 형성기를 이용한다. 두 빔 형성기의 각각의 출력 신호를 합하여 원하는 신호를 얻는다. TDL 필터 계수는 가상신호와 출력 신호간의 차이 값의 파워가 최소가 되도록 조정된다. 원하는 방향에 대한 빔 형성기의 임펄스 응답이 중심 샘플에 대해서 대칭이 되도록 원하는 방향에서 입사되는 신호에 대한 선형 위상 응답 특성을 얻을 수 있다. 출력 잡음 분산을 최소로 하는 반면 원하는 신호 방향에 대한 주파수 응답의 왜곡을 미리 정한 허용치보다 작게 함으로써 음성 신호 를 향상시키는 AMNOR 시스템에 본 논문에서 제안한 빔 형성기를 적용하여 컴퓨터 시뮬레이션 결과 를 제시한다.

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Robust Nonlinear Control for Minimum Phase Dynamic System by Using VSS (VSS 이론을 활용한 최소위상 비선형 시스템에 대한 강인성연구)

  • 임규만;양명섭
    • Journal of the Institute of Convergence Signal Processing
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    • v.2 no.1
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    • pp.95-100
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    • 2001
  • In this paper, we proposed the robust control scheme for a class of nonlinear dynamical systems using output feedback linearization method. The presented control scheme is based on the VSS. We assume that the nonlinear dynamical system is minimum phase, the relative degree of the system is r<n and zero dynamics is stable. It is also shown that the global asymtotically stability is guaranted. And we verified that the proposed control scheme Is the feasible through a computer simulation.

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A Study on Adopting Symmetric Control System in Active Suspension Equipment (능동 서스펜션 장치에의 대칭제어시스템 적용에 관한 연구)

  • Park Jung-Hyen;Kim Soon-Ho
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.10 no.4
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    • pp.769-774
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    • 2006
  • This paper proposed a theoretic numerical modelling in control system design to analyze active suspension equipment by adopting minimum phase system theory. Recent in the field of suspension system design it is general to adopt active control scheme for stiffness and damping, and connection with other vehicle stability control equipment is also intricate, it is required for control system scheme to design more robust, higher response and precision control equipment. Transfer matrices of system with collocated sensors and actuators are symmetric. The symmetry is independent of the entities of mass, damping, or stiffness matrices, and is a non parametric nature. From this point of view, symmetric robust control system is analyzed and designed in this paper. Numerical example is shown for validity of robust control system design.

The asymptotic tracking using variable structure control for a minimum phase nonlinear system (가변 구조 제어 방식을 이용한 최소위상 비선형 시스템의 점근적 경로 추적)

  • Oh, Seung-Rohk
    • Journal of IKEEE
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    • v.13 no.1
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    • pp.30-35
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    • 2009
  • A new controller which can achieve the asymptotic tracking is proposed for the nonlinear system having a uncertainty in the input coefficient. A high gain observer is used to estimate the state variables when the nonlinear system has a modeling uncertainty. A variable structure control is used to achieve an asymptotic tracking, while ultimate boundness was achieved in the previous work. A Lyapunov analysis is used to justify the our proposal. The performance of proposed method is demonstrated via simulation.

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Design of Robust Controller for Non-minimum Phase System with Parametric Uncertainty using QFT (QFT를 이용한 파라미터 불확실성을 갖는 비최소위상 제어시스템의 강인한 제어기 설계)

  • Kim, Young-Chol;Kim, Shin-Ku;Cho, Tae-Shin;Choi, Sun-Wook;Kim, Keun-Sik
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.38 no.3
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    • pp.1-12
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    • 2001
  • We consider the robust control problem for non-minimum phase(NMP) systems with parametric uncertainty. First, a new method that translates such an uncertain NMP system into a interval family of minimum phase(MP) transfer functions followed a time delay term in the form of Pade' approximation is presented. The controller to be proposed consists of a compensator with Smith predictor structure, so that it can compensate the time delay behaviour due to NMP plant. Therein, the main feedback controller for a family of MP plants has been designed by using quantitative feedback theory(QFT) such that satisfies the robust stability against the structured uncertainty. The stability and performance of overall system are examined through an illustrative example.

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Design of an Optimal Controller with Neural Networks for Nonminimum Phase Systems (신경 회로망을 이용한 비최소 위상 시스템의 최적 제어기 설계)

  • 박상봉;박철훈
    • Journal of the Korean Institute of Telematics and Electronics C
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    • v.35C no.6
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    • pp.56-66
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    • 1998
  • This paper investigates a neuro-controller combined in parallel with a conventional linear controller of PID type in order to control nonminimum phase systems more efficiently. The objective is to minimize overall position errors as well as to maintain small undershooting. A costfunction is proposed with two conflict objectives. The neuro-controller is trained off-line with evolutionary programming(EP) in such a way that it becomes optimal by minimizing the given cost function through global evaluation based on desired control performance during the whole training time interval. However, it is not easy to find an optimal solution which satisfies individual objective simultaneously. With the concept of Pareto optimality and EP, we train the proposed controller more effectively and obtain a valuable set of optimal solutions. Simulation results show the efficacy of the proposed controller in a viewpoint of improvement of performance of a step response like fast settling time and small undershoot or overshoot compared with that of a conventional linear controller.

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A Technique for Generation of Template Signal using Stable Minimum-Phase ARMA System Modeling for Coherent Impulse Communication Systems (안정성을 갖는 최소 위상 ARMA시스템 모델링을 이용한 코히어런트 임펄스 통신 수신단 참조 신호 발생 기법)

  • Lee Won Cheol;Park Woon Yong
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.29 no.12C
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    • pp.1606-1616
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    • 2004
  • This paper introduces a technique for generating an appropriate template signal via modeling of minimum-phase stable ARMA (Auto-Regressive Moving Average) system for coherent impulse communication systems. It has been well known that the transmitted impulse signal becomes deformed because of dispersive and resonant characteristics. Accordingly, in spite of using ideal template signal at the correlator, these impairments degrade overall performance attributed to low level of coherence. To increase the degree of coherence, our proposed scheme realizes A3U system derived by Gaussian pulse signal, which simulates the overall characteristic of transfer function in between transmit and receive wideband antennas so as to generate an appropriate template signal in a form of output. The performance of proposed scheme will be shown in results from computer simulations to verify its affirmative impact on impulse communication system with regarding several distinctively shaped antennas.