• 제목/요약/키워드: bilinear transformation

검색결과 44건 처리시간 0.024초

서보계설계에 대한 쌍선형 변환법의 응용 및 카트의 위치제어 (Application of bilinear Transformation Method to Servo Sysstem Design and Position Control for a Cart System)

  • 김상봉;오세준;정용길;김환성
    • 대한전기학회논문지
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    • 제40권3호
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    • pp.290-298
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    • 1991
  • In the paper, the bilinear transformation method is applied to the design of servo system adopting the use of the internal model principle and the pole assignment method in a specified region. The pole assignment problem for the augmented system has been solved by using Tustin's function. The properties of Tustin's function have been shown in relation to the s-plane and z-planes, and the feedback law relationship between the original system and the transformed system has been cleared. The effectiveness of the proposed approach is proved via application for the cart system and the designed cart system is implemented by digital control with microcomputer and A-D/D-A converter.

Modeling of a Continuous-Time System with Time-delay

  • Park, Jong-Jin;Choi, Guy-Seok
    • International Journal of Internet, Broadcasting and Communication
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    • 제4권2호
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    • pp.1-6
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    • 2012
  • Control Theory for continuous-time system has been well developed. Due to the development of computer technology, digital control scheme are employed in many areas. When delays are in control systems, it is hard to control the system efficiently. Delays by controller-to-actuator and sensor-to-controller deteriorate control performance and could possibly destabilize the overall system. In this paper, a new approximated discretization method and digital design for control systems with multiple state, input and output delays and a generalized bilinear transformation method with a tunable parameter are also provided, which can re-transform the integer time-delayed discrete-time model to its continuous-time model. Illustrative examples are given to demonstrate the effectiveness of the developed method.

ATM망의 체증을 해결하기 위한 최적 제어기 설계 (Design of Optimal Controller for the Congestion in ATM Networks)

  • 정우채;김영중;임묘택
    • 대한전기학회논문지:시스템및제어부문D
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    • 제54권6호
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    • pp.359-365
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    • 2005
  • This paper presents an reduced-order near-optimal controller for the congestion control of Available Bit Rate (ABR) service in Asynchronous Transfer Mode (ATM) networks. We introduce the model, of a class of ABR traffic, that can be controlled using a Explicit Rate feedback for congestion control in ATM networks. Since there are great computational complexities in the class of optimal control problem for the ABR model, the near-optimal controller via reduced-order technique is applied to this model. It is implemented by the help of weakly coupling and singular perturbation theory, and we use bilinear transformation because of its computational convenience. Since the bilinear transformation can convert discrete Riccati equation into continuous Riccati equation, the design problems of optimal congestion control can be reduced. Using weakly coupling and singular perturbation theory, the computation time of Riccati equations can be saved, moreover the real-time congestion control for ATM networks can be possible.

디지탈재설계법에 의한 크레인계의 제어 (Control of Crane Systems by a Digital Redesign Method)

  • 이동철;신민생;하주식;김상봉
    • 대한기계학회논문집
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    • 제16권1호
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    • pp.41-52
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    • 1992
  • 본 연구에서는 쌍선형 함수를 이용하여 연속시스템의 상태공간에서 설계된 폐 루우프계로 부터 이산시스템의 피이드백 게인행렬을 얻을 수 있는 디지탈재설계법이 제안 되었고, 크레인의 실시간 제어를 통해 본 연구에서 제안된 디지탈 재설계법의 유 효성을 확인했다.

정변형과 양선형 보간법을 이용한 파노라마 영상 개선 (Panoramic Image Improvement using Forward Warping and Bilinear Interpolation Method)

  • 김광백
    • 한국정보통신학회논문지
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    • 제16권10호
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    • pp.2108-2112
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    • 2012
  • 본 논문에서는 정변형을 이용하여 파노라마 영상으로 변환하고 파노라마 영상으로 변환하는 과정에서 손실되는 영상 정보를 복원하기 위하여 양선형 보간법을 적용하여 개선된 파노라마 영상을 획득할 수 있는 방법을 제안한다. 본 논문에서 제안한 어안 렌즈 영상 재구성 방법의 성능을 평가하기 위하여 다양한 어안 렌즈 영상을 대상으로 실험한 결과, 기존의 방법보다 영상을 재구성하는데 효과적인 것을 확인하였다.

연속적 근사화 방법을 이용한 쌍일차 정규섭동 시스템의 최적제어기 설계 (Design of a Controller Using Successive Approximation for Weakly Copled Bilinear Systems)

  • 장재원;이상엽;김범수;임묘택
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.1999-2001
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    • 2001
  • The infinite time optimum to regulate the problem of weakly coupled bilinear systems with a quadratic performance criterion is obtained by a sequence of algebraic Lyapunov equations. The new approach is based on the successive approximations. In particular, the order reduction is achieved by using suitable state transformation so that the original Lyapunov equations are decomposed into the reduced-order local Lyapunov equations. The proposed algorithms not only solve optimal control problems in the weakly coupled bilinear system but also reduce the computation time. This paper also includes an example to demonstrate the procedures.

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A Note on Schur Stability of Real Weighted Diamond Polynomials

  • Otsuka, Naohisa;Ichige, Koichi;Ishii, Rokuya
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.421-424
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    • 2004
  • This paper presents a sufficient condition for the real weighted diamond polynomials to be Schur stable using bilinear transformation and Kharitonov's theorem.

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Switched Capacitor를 사용한 능동 여파기 설계에 관한 연구 (A Study on Design of Active Filters Using Switched Capacitors)

  • 이문수;김상호
    • 한국통신학회논문지
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    • 제4권1호
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    • pp.25-31
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    • 1979
  • All the resitors in the active RC filter networks can be relplaced by the switched capacitors. Therefore, An SC filter circuit can be fully integrated using MOS technology. A switched capacitor is much better than a resistor in temperature and linearity characteristics, and the former can be fabricated on the much smaller area then the latter. In this paper, It is given the generalized disign method of the active SC filter from the active RC filter using Bilinear Z-transformation. By SC filtering Techniques using Bilinear Z-transform, It enalbes us to realize the FDNR and Gyrator filters, which could not be realized in the exsisting designs, and it permits the processing of signals at much higher frequenies that many previous designs do. Experiments show that the response of the SC active filter is similiar to that of its prototype active RC filter.

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Improved Digital Redesign for Fuzzy Systems: Compensated Bilinear Transform Approach

  • 김도완;주영훈;박진배
    • 한국지능시스템학회논문지
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    • 제15권6호
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    • pp.765-770
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    • 2005
  • This paper presents a new intelligent digital redesign (IDR) method via the compensated bilinear transformation to design the digital controller such that the digital fuzzy system is equivalent to the analog fuzzy system in the sense of the state-matching. This paper especially consider a multirate control scheme with a predictive feature, where the digital control input is held constant N times between the sampling points. More precisely, the multirate control scheme is proposed that utilizes a numerical integration scheme to approximately predict the current state from the state measured at the sampling points, the delayed measurements. For this system, the IDR conditions incorporated with stabilizability in the format of the linear matrix inequalities (LMIs) are derived. The superiority of the proposed technique is convincingly visualized through a numerical example.

PRECONDITIONED SPECTRAL COLLOCATION METHOD ON CURVED ELEMENT DOMAINS USING THE GORDON-HALL TRANSFORMATION

  • Kim, Sang Dong;Hessari, Peyman;Shin, Byeong-Chun
    • 대한수학회보
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    • 제51권2호
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    • pp.595-612
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    • 2014
  • The spectral collocation method for a second order elliptic boundary value problem on a domain ${\Omega}$ with curved boundaries is studied using the Gordon and Hall transformation which enables us to have a transformed elliptic problem and a square domain S = [0, h] ${\times}$ [0, h], h > 0. The preconditioned system of the spectral collocation approximation based on Legendre-Gauss-Lobatto points by the matrix based on piecewise bilinear finite element discretizations is shown to have the high order accuracy of convergence and the efficiency of the finite element preconditioner.