• 제목/요약/키워드: Real canonical form

검색결과 13건 처리시간 0.023초

Adaptive Observer Design for Nonlinear Systems Using Generalized Nonlinear Observer Canonical Form

  • Jo, Nam-Hoon;Son, Young-Ik
    • Journal of Mechanical Science and Technology
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    • 제18권7호
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    • pp.1150-1158
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    • 2004
  • In this paper, we present an adaptive observer for nonlinear systems that include unknown constant parameters and are not necessarily observable. Sufficient conditions are given for a nonlinear system to be transformed by state-space change of coordinates into an adaptive observer canonical form. Once a nonlinear system is transformed into the proposed adaptive observer canonical form, an adaptive observer can be designed under the assumption that a certain system is strictly positive real. An illustrative example is included to show the effectiveness of the proposed method.

다중출력 관측불가능 비선형 시스템의 적응관측기 설계기법 (Adaptive Observer Design for Multi-Output Unobservable Nonlinear Systems)

  • 조남훈
    • 제어로봇시스템학회논문지
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    • 제11권4호
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    • pp.271-278
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    • 2005
  • In this paper, we present an adaptive observer for multi-output nonlinear systems that include unknown constant parameters and are not necessarily observable. Based on generalized nonlinear observer canonical form, new adaptive observer canonical form is proposed. Sufficient conditions are given for a nonlinear system to be transformed into the proposed adaptive observer canonical form. The existence of the proposed adaptive observer is given in terms of Lyapunov-like condition and SPR condition. An illustrative example is presented to show the design procedure of the proposed method.

A Robust Observer Design for Nonlinear MIMO Plants using Time-Delayed Signals

  • Lee, Jeong-Wan;Chang, Pyung-Hun
    • Transactions on Control, Automation and Systems Engineering
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    • 제1권1호
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    • pp.22-31
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    • 1999
  • In this paper, a robust observer design method for nonlinear multi input multi-output(MINO) plants is presented. This method enables the extension of the time delay observer (TDO) for nonlinear SISO plants in the phase variable form to MIMO plants. The designed TDO reconstructs the states of the plant expressed in the generalized observability canonical form (GOBCF), yet requiring neither the transformation of a plant, nor the real time computation coordinates, the observer turned out to be computationally efficient and easy to design for nonlinear MIMO plants. In a simulation of a two-link manipulator with flexible joints, the control performances using TDO appeared to be similar to those using actual states and superior to those using numerical differentiation. Finally, in an experiment with a robot, it was confirmed that the TDO reconstructs the states reliability and TDO can be effectively used in a real closed-loop system.

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A Study on the Impact of Artificial Intelligence Industry on Macroeconomy: Evidence from United States of America

  • He, Yugang
    • Asian Journal of Business Environment
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    • 제8권4호
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    • pp.37-44
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    • 2018
  • Purpose - The artificial intelligence industry plays an increasingly significant role in stimulating the development of United States of America's economy. On account of this background, this paper attempts to explore the impact of artificial intelligence industry on United States of America's macroeconomy. Research design, data, and methodology - This paper mainly focuses on the impact of artificial intelligence industry on GDP, employment, real income, import, export and foreign direct investment. Furthermore, the Phillips-Perron test and Canonical cointegrating regression will be employed to examine the impact of artificial intelligence industry on United States of America's macroeconomy with a sample form 2010-Q1 to 2017-Q4. Results - Via the empirical analysis, the results reveal that the artificial intelligence industry has a positive effect on United States of America's GDP, employment, real income, export and foreign direct investment. Conversely, the artificial intelligence industry has a negative effect on United States of America's import. Conclusions - In summary, the impact of artificial intelligence industry on United States of America's macroeconomy is positive and significant in statistics. Therefore, the government of United States of America should put more input into artificial intelligence industry.

THE E-EULER PROCESS FOR NONAUTONOMOUS SYSTEMS

  • Yu, Dong-Won
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • 제8권2호
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    • pp.87-93
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    • 2004
  • The E-Euler process has been proposed for autonomous dynamical systems in [7]. In this paper, the E-Euler process is extended to nonautonomous dynamical systems. When a discrete function is bounded or gradually decreases to ${\epsilon}\;<<\;1$ as $n\;{\rightarrow}\;{\infty}$, it is shown that the relative error converges to a constant or decreases.

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GENERALIZED EULER PROCESS FOR SYSTEMS OF NONLINEAR DIFFERENTIAL EQUATIONS

  • Yu, Dong-Won
    • Journal of applied mathematics & informatics
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    • 제7권3호
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    • pp.941-958
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    • 2000
  • Euler method is generalized to solve the system of nonlinear differential equations. The generalization is carried out by taking a special constant matrix S so that exp(tS) can be exactly computed. Such a matrix S is extracted from the Jacobian matrix of the given problem. Stability of the generalized Euler process is discussed. It is shown that the generalized Euler process is comparable to the fourth order Runge-Kutta method. We also exemplify that the important qualitative and geometric features of the underlying dynamical system can be recovered by the generalized Euler process.

A NOTE ON GCR-LIGHTLIKE WARPED PRODUCT SUBMANIFOLDS IN INDEFINITE KAEHLER MANIFOLDS

  • Kumar, Sangeet;Pruthi, Megha
    • 대한수학회논문집
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    • 제36권4호
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    • pp.783-800
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    • 2021
  • We prove the non-existence of warped product GCR-lightlike submanifolds of the type K × λ KT such that KT is a holomorphic submanifold and K is a totally real submanifold in an indefinite Kaehler manifold $\tilde{K}$. Further, the existence of GCR-lightlike warped product submanifolds of the type KT × λ K is obtained by establishing a characterization theorem in terms of the shape operator and the warping function in an indefinite Kaehler manifold. Consequently, we find some necessary and sufficient conditions for an isometrically immersed GCR-lightlike submanifold in an indefinite Kaehler manifold to be a GCR-lightlike warped product, in terms of the canonical structures f and ω. Moreover, we also derive a geometric estimate for the second fundamental form of GCR-lightlike warped product submanifolds, in terms of the Hessian of the warping function λ.

전기유압 속도제어 시스템의 궤환 선형화 및 이에 대한 디지틀 상태 궤환 제어의 구현 (Feedback Linearization of an Electro-Hydraulic Velocity Control System and the Implementation of the Digital State Feedback Controller)

  • 김영준;장효환
    • 대한기계학회논문집
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    • 제16권6호
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    • pp.1036-1055
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    • 1992
  • 본 연구에서는 일단앞섬 상태추정기(one-step ahead state estimator)를 사용 하는 방법을 제안하였다. 이 방법은 비선형 시스템을 궤환 선형화하여 등가 선형모 델을 구한 후, 이 등가 선형 모델에 일단앞섬 상태추정기를 구성하여 디지틀 제어를 실현하는 방법으로서, 계측할 수 없는 상태를 추정할 수 있을 뿐 아니라, 선형시스템 에 대한 상태 추정기이므로 다음 단계의 상태를 비교적 정확하게 추정할 수 있어서 궤 환 선형화시 요구되는 연속적인 상태 궤환에 근사시킬 수 있고, 직접 궤환 선형화된 등가 선형 모델의 상태를 추정할 수 있으므로, 변환시의 연산량도 줄일 수 있다. 이 로서 Grizzle이나 Lee의 방법보다 간단하게 궤환 선형화에 의한 디지틀 상태 제어기를 구현할 수 있었다.

산업별 전력수요의 기온효과 분석 (Temperature Effects on the Industrial Electricity Usage)

  • 김인무;이용주;이성로;김대용
    • 자원ㆍ환경경제연구
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    • 제25권2호
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    • pp.141-178
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    • 2016
  • 본 논문은 실시간으로 측정되는 자동원격검침(AMR) 전력수요량을 사용하여 산업별 전력수요의 기온효과에 대한 특성과 패턴을 분석하였다. AMR 전력사용량의 시계열적 특징으로부터 장기 추세효과와 중기 기온효과 그리고 단기 특수일 효과로 구성되는 공적분 모형을 구축하고, 기온효과를 연속적인 기온반응함수를 통하여 분석하기 위하여 기온반응함수를 푸리에 플렉서블 폼(Fourier Flexible Form; FFF) 비선형 함수로 추정하였다. 추정 결과 도출된 기온반응함수와 기온효과를 통하여 기온효과가 뚜렷하게 나타나는 서비스업군과 기온효과가 미약하게 나타나는 제조업군으로 구분하였다. 그리고 기온효과가 뚜렷하게 나타나는 서비스업군을 기온반응함수의 추정치에 근거하여 여름피크 산업과 겨울피크 산업으로 구분하였다. 이러한 실증분석 결과는 산업별, 계절별 전력수요관리정책 수립에 정책적 기초를 제공한다. 또한 실시간으로 측정되는 AMR 전력수요량 분석이라는 점에서 시차의 발생없이 신속하게 전력수요관리에 반영될 수 있다는 의미가 있다.

Rapid Implementation of 3D Facial Reconstruction from a Single Image on an Android Mobile Device

  • Truong, Phuc Huu;Park, Chang-Woo;Lee, Minsik;Choi, Sang-Il;Ji, Sang-Hoon;Jeong, Gu-Min
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • 제8권5호
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    • pp.1690-1710
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    • 2014
  • In this paper, we propose the rapid implementation of a 3-dimensional (3D) facial reconstruction from a single frontal face image and introduce a design for its application on a mobile device. The proposed system can effectively reconstruct human faces in 3D using an approach robust to lighting conditions, and a fast method based on a Canonical Correlation Analysis (CCA) algorithm to estimate the depth. The reconstruction system is built by first creating 3D facial mapping from a personal identity vector of a face image. This mapping is then applied to real-world images captured with a built-in camera on a mobile device to form the corresponding 3D depth information. Finally, the facial texture from the face image is extracted and added to the reconstruction results. Experiments with an Android phone show that the implementation of this system as an Android application performs well. The advantage of the proposed method is an easy 3D reconstruction of almost all facial images captured in the real world with a fast computation. This has been clearly demonstrated in the Android application, which requires only a short time to reconstruct the 3D depth map.