• 제목/요약/키워드: Nonlinear dynamical systems

검색결과 131건 처리시간 0.029초

Optimal Guidance Law Using Exact Linearization (ICCAS 2005)

  • Ogawa, Takahiro;Uchiyama, Kenji;Shimada, Yuzo
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2005년도 ICCAS
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    • pp.1228-1233
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    • 2005
  • In this paper, we present a new guidance law for a reusable launch vehicle (RLV) that lands vertically after reentry. In our past studies, a guidance law was developed for a vertical/soft landing to a target point. The guidance law, which is analytically obtained, can regenerate a trajectory against disturbances because it is expressed in the form of state feedback. However, the guidance law does not necessarily guarantee a vertical/soft landing when a dynamical system such as an RLV includes a nonlinear phenomenon owing to the atmosphere of the earth. In this study, we introduce a design of the guidance law for a nonlinear system to achieve a vertical/soft landing on the ground using the exact linearization method and solving the two-point boundary-value problem for the derived linear system. Numerical simulation confirmed the validity of the proposed guidance law for an RLV in an atmospheric environment.

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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.

출력관측 오차의 필터링을 이용한 비선형 계통의 강인한 신경망 관측기 설계 (Robust Adaptive Neural-Net Observer for Nonlinear Systems Using Filtering of Output Estimation Error)

  • 박장현;윤필상;박귀태
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2001년도 하계학술대회 논문집 D
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    • pp.2320-2322
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    • 2001
  • This paper describes the design of a robust adaptive neural-net(NN) observer for uncertain nonlinear dynamical system. The Lyapunov synthesis approach is used to guarantee a uniform ultimate boundedness property of the state estimation error, as well as of all other signals in the closed-loop system. Especially, for reducing the dynamic oder of the observer, we propose a new method in which no strictly positive real(SPR) condition is needed with on-line estimation of weights of the NNs. No a priori knowledge of an upper bounds on the uncertain terms is required. The theoretical results are illustrated through a simulation example.

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Neural Networks Based Identification and Control of a Large Flexible Antenna

  • Sasaki, Minoru;Murase, Takuya;Ukita, Nobuharu
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2004년도 ICCAS
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    • pp.1711-1716
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    • 2004
  • This paper presents identification and control of a 10-m antenna via accelerometers and angle encoder data. Artificial Neural Networks can be used effectively for the identification and control of nonlinear dynamical system such as a large flexible antenna. Some identification results are shown and compared with the results of conventional prediction error method. And we use a neural network inverse model for control the large flexible antenna. In the neural network inverse model, a neural network is trained, using supervised learning, to develop an inverse model of the antenna. The network input is the process output, and the network output is the corresponding process input. The control results show the validation of the ANN approach for identification and control of the 10-m flexible antenna.

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비선형 시스템의 안정한 직접 적응 제어를 위한 웨이브렛 신경회로망 (Wavelet Network for Stable Direct Adaptive Control of Nonlinear Systems)

  • 서승진;서재용;원경재;연정흠;전홍태
    • 전자공학회논문지S
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    • 제36S권10호
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    • pp.51-57
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    • 1999
  • 본 논문에서는 웨이브렛 신경회로망을 사용하여 알려지지 않은 비선형 시스템을 안정하게 제어하는 문제를 다룬다. 비선형 시스템의 정확한 제어는 함수를 근사화하는 데 사용되는 함수 근사화기의 정확성과 효율성에 의존한다. 그러므로 기준 함수의 선택이 자유롭고 함수 근사화 능력이 뛰어난 웨이브렛 신경회로망을 비선형 시스템 제어에 이용한다. 초기 웨이브렛 신경회로망 제어기를 설정하기 위해서 먼저 제어기 입력의 시-주파수 특성을 분석해서 웨이브렛 신경회로망 변수인 신축과 이동 값을 구한다. 다음에 Lyapunov 안정성 이론에 기초한 적응 법칙을 사용하여 연결강도를 조절한다. 이 직접 적응 웨이브렛 신경회로망 제어기를 비선형 시스템인 역 진자 시스템을 제어하는데 적용한다.

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원자로 천이해석을 위한 파형완화법 (Waveform Relaxation Method for Reactor Transient Analysis)

  • Park, Keon-Woo;Co, Nam-Zin
    • Nuclear Engineering and Technology
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    • 제27권6호
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    • pp.845-852
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    • 1995
  • 반복계산법 (iterative method)중의 하나인 파형완화법 ( Waveform Relaxation Method)을 이용하여 시간의 함수인 비선형 원자로 동역학(reactor dynamics)의 해를 병렬처리기법으로 구하였다. 파형완화법은 각 반복계산과정중에서, 먼저 전체 시스템을 작은 부시스템(subsystem)으로 나누고, 각각의 부시스템들은 주어진 각각의 시간간격(time Interval)에서 해를 독립적으로 구한다. 만약 이 기법에 맞게 효과적으로 부시스템으로 나눌 수 있다면 병렬처리기법에 잘 응용될 수 있다 본 논문에서는 파형완화법이 소개되었고, 두 종류의 원자로 동역학에 응용되었다. 결론적으로 파형완화법은 원자로 동역학에 응용될 수 있으나, 다목적 연구로에 응응한 결과는 병렬효과가 그다지 크지 않은 것으로 나타났다.

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발바닥 특정 부위 자극이 뇌파에 미치는 효과에 대한 비선형 분석 (Nonlinear analysis of the effects on the brain waves of the stimulation on specific area of the sole of the foot)

  • 오영선;오민석;송태원
    • 혜화의학회지
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    • 제10권1호
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    • pp.365-374
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    • 2001
  • The brain is one of the most complex systems in nature. Brain waves, or the "EEG", are electrical signals that can be recorded from the brain, either directly or through the scalp. The kind of brain wave recorded depends on the behavior of the animal, and is the visible evidence of the kind of neuronal (brain cell) processing necessary for that behavior. But, EEG had been considered as a virtually infinite-dimensional random signal. However, nonlinear dynamics light on dynamical aspects of the human EEG. The methods of nonlinear dynamics provide excellent tolls for the study of multi-variable, complex system such as EEG. In this study, 20 persons seperated in 2 groups were examined with EEG, one group stimulated on specific area of the sole of the foot with footbed inside the shoes. This experiment resulted in at the group stimulated on specific area of the sole of the foot correlation dimension of P4 and O1 channels increased significantly. Therefore. we obserbed that stimulation on specific area of the body had a constant effections on the specific channels.

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암 치료를 위한 면역반응의 체계적인 연구 (A Systems Approach to Immune Response for Cancer Treatment)

  • 이권순
    • 대한의용생체공학회:의공학회지
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    • 제13권3호
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    • pp.181-188
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    • 1992
  • This paper provides an overview of system analysis of immunology. The theoretical research in this area is aimed at an understanding of the precise manner by which the immune system controls Infec pious diseases, cancer, and AIDS. This can provide a systematic plan for immunological experimentation by means of an integrated program of immune system analysis, mathematical modeling and computer simulation. Biochemical reactions and cellular fission are naturally modeled as nonlinear dynamical processes to synthesize the human immune system! as well as the complete organism it is intended to protect. A foundation for the control of tumors is presented, based upon the formulation of a realistic, knowledge based mathematical model of the interaction between tumor cells and the immune system. Ordinary bilinear differential equations which are coupled by such nonlinear term as saturation are derived from the basic physical phenomena of cellular and molecular conservation. The parametric control variables relevant to the latest experimental data are also considered. The model consists of 12 states, each composed of first-order, nonlinear differential equations based on cellular kinetics and each of which can be modeled bilinearly. Finally, tumor control as an application of immunotherapy is analyzed from the basis established.

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불확실한 비선형 계통에 대한 SPR 조건이 필요 없는 적응 퍼지 관측기 (Adaptive Fuzzy Observer without SPR Condition for Uncertain Nonlinear Systems)

  • 박장현;김성환
    • 전기전자학회논문지
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    • 제7권2호
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    • pp.156-165
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    • 2003
  • 본 논문은 불확실한 비선형 계통에 대해서 강인한 적응 퍼지 관측기를 설계하는 방법을 제시한다. 새로 제시하는 관측기는 관측기 설계시 관측오차의 동특성식이 SPR (strictly positive real)이어야 한다는 조건이 불필요하다. 또한 불확실한 항에 대한 유계상수도 추정하는 알고리듬을 사용하여 강인항의 이득값을 설계자가 미리 결정할 필요가 없게 된다. 설계된 관측기를 포함한 전체 폐루프 계통에 대해서 리아프노브 안정도를 증명하였으며 관측오차를 포함한 계통의 모든 신호들의 반전역적 유계(semi-global uniform ultimate boundedness)임을 증명하였다. 이론적으로 도출된 결과를 mass-spring-damper 계통에 대한 모의실험을 수행하여 제안된 관측기의 효율성과 성능을 보였다.

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APPLICATION OF SIMULATED ANNEALING FOR THE MATHEMATICAL MODELLING OF IMMUNE SYSTEMS

  • 이권순;이영진;정형환
    • 대한의용생체공학회:학술대회논문집
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    • 대한의용생체공학회 1992년도 춘계학술대회
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    • pp.129-132
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    • 1992
  • Cellular kinetics formulate the basis of tumor immune system dynamics which may be synthesized mathematically as cascades of bilinear systems which are connected by nonlinear dynamical terms. In this manner, a foundation for the control of syngeneic tumors is presented. We have analyzed the mechanisms of controlling the infiltration of lymphocytes into tumor tissues. Simulated anneal ins, a general-purpose method of multivariate optimization, is applied to combinatorial optimization, which is to find the minimum of a given function depending on many parameters. We compare the results of the different methods including the global optimization algorithm, known as simutated annealing.

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