• Title/Summary/Keyword: linearization

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An Improved Poincaré-like Carleman Linearization Approach for Power System Nonlinear Analysis

  • Wang, Zhou-Qiang;Huang, Qi;Zhang, Chang-Hua
    • Journal of Electrical Engineering and Technology
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    • v.8 no.2
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    • pp.271-281
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    • 2013
  • In order to improve the performance of analysis, it is important to consider the nonlinearity in power system. The Carleman embedding technique (linearization procedure) provides an effective approach in reduction of nonlinear systems. In the approach, a group of differential equations in which the state variables are formed by the original state variables and the vector monomials one can build with products of positive integer powers of them, is constructed. In traditional Carleman linearization technique, the tensor matrix is truncated to form a square matrix, and then regular linear system theory is used to solve the truncated system directly. However, it is found that part of nonlinear information is neglected when truncating the Carleman model. This paper proposes a new approach to solve the problem, by combining the Poincar$\acute{e}$ transformation with the Carleman linearization. Case studies are presented to verify the proposed method. Modal analysis shows that, with traditional Carleman linearization, the calculated contribution factors are not symmetrical, while such problems are avoided in the improved approach.

On Feedback Linearization of Nonlinear Time-Delay Systems

  • Shin, Hee-Sub;Lim, Jong-Tae
    • 제어로봇시스템학회:학술대회논문집
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    • 2004.08a
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    • pp.1906-1908
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    • 2004
  • We propose a result on the stabilization of nonlinear time-delay systems via the feedback linearization method. Using the predictor based control and the parametric coordinate transformation, we introduce a stabilizing controller to compensate time delay. Specifically, we present the delay-dependent stability analysis to makes the considered system stable. Also, an illustrative example is provided

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A formal linearization method via cubic splines and its applications

  • Narikiyo, Katsuhiro;Takata, Hitoshi
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1848-1853
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    • 1991
  • To solve the nonlinear system problems, many methods have been proposed. Generally those methods however need long processing time because of their complicated algorithms. On the other hand, some simple linearization methods also have been studied. In this paper, a new linearization method using cubic splines[1] is proposed. The approximated linear system obtained by this method we can apply the conventional simple linear system theories such as Kalman filter[2, 3] for the estimation problem.

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A formal linearization of nonlinear systems based on the discrete-fourier transform

  • Takata, Hitoshi;Komatsu, Kazuo
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1823-1827
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    • 1991
  • The problem regarding nonlinear systems has come to occupy an important position. In order to solve a nonlinear problem we have methods of linearization which are developed through linear approximation to adapt linear system theories. In this paper we present a formal linearization of nonlinear systems based on the discrete-Fourier transform (D.F.T.).

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Orbital maneuvers by using feedback linearization method

  • Lee, Sanguk
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.480-485
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    • 1993
  • A method for obtaining optimal orbital maneuvers of a space vehicle has been developed by combining feedback linearization method with the elegance of the Lambert's theorem. To obtain solutions to nonlinear orbital maneuver problems. The full nonlinear equations of motion for space vehicle in polar coordinate system are transformed exactly into a controllable linear set in Brunovsky canonical form by using feedback linearization by choosing position vector as fully observable output vector. These equations are used to pose a linear optimal tracking problem with a solutions to Lambert's problem and a linear analytical solution of continuous low thrust problem as reference trajectories.

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Bias Control for Linearizing Class AB Amplifier Using Envelope Detection (AB급 증폭기를 위한 Envelope Detection을 이용한 바이어스 조정)

  • Yi, Hui-Min;Kang, Sang-Gee;Hong, Sung-Yong
    • Proceedings of the Korea Electromagnetic Engineering Society Conference
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    • 2005.11a
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    • pp.97-100
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    • 2005
  • This paper proposes a linearization method that is to control the operating point of a class AB amplifier according to its output power. The proposed linearization method is presented in this paper and the performance test results using two-tone signal are presented also.

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Nonlinear Observer Design using Dynamic System Extension (동적시스템 확장을 이용한 비선형시스템의 관측기 설계)

  • Jo Nam-Hoon
    • The Transactions of the Korean Institute of Electrical Engineers D
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    • v.53 no.11
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    • pp.760-767
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    • 2004
  • In this paper, we propose sufficient conditions under which nonlinear systems can be transformed into nonlinear observer canonical form in the extended state space by virtue of dynamic system extension. The proposed scheme weakens two major restrictions of observer error linearization technique. Once a nonlinear system is transformed into nonlinear observer canonical form using dynamic system extension, a state observer can be easily designed. Two illustrative examples are included in order to compare the proposed scheme and observer error linearization method.

Linearization of DFB LD by using Cross Gain Modulation of Reflective SOA in Radio-over-Fiber Link

  • Hong, Moon-Ki;Han, Sang-Kook;Lee, Sang-Hoon
    • Journal of the Optical Society of Korea
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    • v.11 no.4
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    • pp.158-161
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    • 2007
  • We proposed a novel linearization technique for a DFB LD in the RoF link. The proposed scheme is based on the cross gain modulation(XGM) effect of a reflective semiconductor optical amplifier(RSOA) with light injection. We experimentally demonstrated and evaluated the enhanced CIR performance using the proposed linearization scheme.

Power system stabilization via adaptive feedback linearization (비선형 적응제어를 이용한 전력계통 안정화)

  • 윤태웅;이도관
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1221-1224
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    • 1996
  • As in most industrial processes, the dynamic characteristics of an electric power system are subject to changes. Amongst those effects which cause the system to be uncertain, faults on transmission lines are considered. For the stabilization of the power system, we present an indirect adaptive control method, which is capable of tracking a sudden change in the effective reactance of a transmission line. As the plant dynamics are nonlinear, an input-output feedback linearization method is combined with an identification algorithm which estimates the effect of a fault.

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Control of induction motors using adaptive fuzzy feedback linearization techniques (적응 퍼지 궤환선형화기법을 이용한 유도전동기의 제어)

  • 류지수;김정중;이기상
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.1253-1256
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    • 1996
  • In this paper, a new nonlinear feedback linearization control scheme for induction motors is developed. The control scheme employs a fuzzy nonlinear identification scheme based on fuzzy basis function expansion to adoptively compensate the parameter variations, i.e. rotor resistance, mutual and self inductance etc. An important feature of the proposed control scheme is to incorporate the sliding mode controller into the scheme to speed up convergence rate. Simulation tests show the robust behavior of the proposed controller in the presence of the parameter uncertainties of the machine.

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