• Title/Summary/Keyword: dynamical systems

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Evaluation of Accuracy and Efficiency of Double Fourier Series (DFS) Spectral Dynamical Core (이중 푸리에 급수 분광법 역학코어의 정확도와 계산 효율성 평가)

  • Beom-Seok Kim;Myung-Seo Koo;Seok-Woo Son
    • Atmosphere
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    • v.33 no.4
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    • pp.387-398
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    • 2023
  • The double Fourier series (DFS) spectral dynamical core is evaluated for the two idealized test cases in comparison with the spherical harmonics (SPH) spectral dynamical core. A new approach in calculating the meridional expansion coefficients of DFS, which was recently developed to alleviate a computational error but only applied to the 2D spherical shallow water equation, is also tested. In the 3D deformational tracer transport test, the difference is not conspicuous between SPH and DFS simulations, with a slight outperformance of the new DFS approach in terms of undershooting problem. In the baroclinic wave development test, the DFS-simulated wave pattern is quantitatively similar to the SPH-simulated one at high resolutions, but with a substantially lower computational cost. The new DFS approach does not offer a salient advantage compared to the original DFS while computation cost slightly increases. This result suggests that the current DFS spectral method can be a practical and alternative dynamical core for high-resolution global modeling.

Real-Time Optimal Control for Nonlinear Dynamical Systems Based on Fuzzy Cell Mapping

  • Park, H.T.;Kim, H.D.
    • 제어로봇시스템학회:학술대회논문집
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    • 2000.10a
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    • pp.388-388
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    • 2000
  • The complexity of nonlinear systems makes it difficult to ascertain their behavior using classical methods of analysis. Many efforts have been focused on the advanced algorithms and techniques that hold the promise of improving real-time optimal control while at the same time providing higher accuracy. In this paper, a fuzzy cell mapping method of real-time optimal control far nonlinear dynamical systems is proposed. This approach combines fuzzy logic with cell mapping techniques in order to find the optimal input level and optimal time interval in the finite set which change the state of a system to achieve a desired obiective. In order to illustrate this method, we analyze the behavior of an inverted pendulum using fuzzy cell mapping.

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Numerical Weather Prediction and Forecast Application (수치모델링과 예보)

  • Woo-Jin Lee;Rae-Seol Park;In-Hyuk Kwon;Junghan Kim
    • Atmosphere
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    • v.33 no.2
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    • pp.73-104
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    • 2023
  • Over the past 60 years, Korean numerical weather prediction (NWP) has advanced rapidly with the collaborative effort between the science community and the operational modelling center. With an improved scientific understanding and the growth of information technology infrastructure, Korea is able to provide reliable and seamless weather forecast service, which can predict beyond a 10 days period. The application of NWP has expanded to support decision making in weather-sensitive sectors of society, exploiting both storm-scale high-impact weather forecasts in a very short range, and sub-seasonal climate predictions in an extended range. This article gives an approximate chronological account of the NWP over three periods separated by breakpoints in 1990 and 2005, in terms of dynamical core, physics, data assimilation, operational system, and forecast application. Challenges for future development of NWP are briefly discussed.

Intelligent Digital Redesign for Dynamical Systems with Uncertainties (불확실성을 갖는 동적 시스템에 대한 지능형 디지털 재설계)

  • Cho, Kwang-Lae;Joo, Young-Hoon;Park, Jin-Bae
    • Journal of the Korean Institute of Intelligent Systems
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    • v.13 no.6
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    • pp.667-672
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    • 2003
  • In this paper, we propose a systematic method for intelligent digital redesign of a fuzzy-model-based controller for continuous-time nonlinear dynamical systems which may also contain uncertainties. The continuous-time uncertain TS fuzzy model is first constructed to represent the uncertain nonlinear systems. An extended parallel distributed compensation(EPDC) technique is then used to design a fuzzy-model-based controller for both stabilization and tracking. The designed continuous-time controller is then converted to an equivalent discrete-time controller by using an integrated intelligent digital redesign method. This new design technique provides a systematic and effective framework for integration of the fuzzy-model-based control theory and the advanced digital redesign technique for nonlinear dynamical systems with uncertainties. Finally, The single link flexible-joint robot arm is used as an illustrative example to show the effectiveness and the feasibility of the developed design method.

Identification and control of dynamical system including nonlinearities (비선형성이 존재하는 동적 시스템의 식별과 제어)

  • 김규남;조규상;양태진;김경기
    • 제어로봇시스템학회:학술대회논문집
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    • 1992.10a
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    • pp.236-242
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    • 1992
  • Multi-layered neural networks are applied to the identification and control of nonlinear dynamical system. Traditional adaptive control techniques can only deal with linear systems or some special nonlinear systems. A scheme for combining multi-layered neural networks with model reference network techniques has the capability to learn the nonlinearity and shows the great potential for adaptive control. In many interesting cases the system can be described by a nonlinear model in which the control input appears linearly. In this paper the identification of linear and nonlinear part are performed simultaneously. The projection algorithm and the new estimation method which uses the delta rule of neural network are compared throughout the simulation. The simulation results show that the identification and adaptive control schemes suggested are practically feasible and effective.

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Dynamic Simulation of Underwater Vehicle-Manipulator Systems Using Principle of Dynamical Balance (동적 발란스의 원리를 이용한 수중 잠수정-매니퓰레이터 시스템의 동역학 시뮬레이션)

  • Han, Jong-Hui;Chung, Wan-Kyun
    • The Journal of Korea Robotics Society
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    • v.2 no.2
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    • pp.152-160
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    • 2007
  • In this paper, two schemes are introduced for dynamic simulation of underwater robotic systems. One is principle of dynamical balance, which is an easy and powerful tool for formulating dynamic equations of composite systems such as underwater vehicle-manipulator system. In the dynamic modeling, this principle gives us the closed-form of dynamic equations on matrix Lie group. The other is geometric integration algorithm, called 4-th order explicit Munthe-Kaas method. By this method, the derived differential equations can be integrated preserving geometric structure. Adopting these two schemes, dynamic simulation of underwater vehicle- manipulator system can be conducted more easily and more reliably.

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Self-Organized Ditributed Networks as Identifier of Nonlinear Systems (비선형 시스템 식별기로서의 자율분산 신경망)

  • Choi, Jong-Soo;Kim, Hyong-Suk;Kim, Sung-Joong;Choi, Chang-Ho
    • Proceedings of the KIEE Conference
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    • 1995.07b
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    • pp.804-806
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    • 1995
  • This paper discusses Self-organized Distributed Networks(SODN) as identifier of nonlinear dynamical systems. The structure of system identification employs series-parallel model. The identification procedure is based on a discrete-time formulation. The learning with the proposed SODN is fast and precise. Such properties arc caused from the local learning mechanism. Each local networks learns only data in a subregion. Large number of memory requirements and low generalization capability for the untrained region, which are drawbacks of conventional local network learning, are overcomed in the SODN. Through extensive simulation, SODN is shown to be effective for identification of nonlinear dynamical systems.

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DYNAMICAL PROPERTIES ON ITERATED FUNCTION SYSTEMS

  • Chu, Hahng-Yun;Gu, Minhee;Ku, Se-Hyun;Park, Jong-Suh
    • Journal of the Chungcheong Mathematical Society
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    • v.33 no.1
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    • pp.173-179
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    • 2020
  • Let X be a compact space and Λ a finite index set. We deal with dynamical properties of iterated function systems on X. For an iterated function system 𝓕 on X, we prove that 𝓕 is c-expansive if and only if 𝓕k is also c-expansive for each k ∈ ℕ. Furthermore we prove that the c-expansiveness of 𝓕 is equivalent to the original expansiveness of the shift map of it.

Adaptive Robust Output Tracking for Nonlinear MMO Systems

  • Im, Kyu-Mann
    • Proceedings of the Korea Institute of Convergence Signal Processing
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    • 2003.06a
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    • pp.177-182
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    • 2003
  • The robust output tracking control problem of general nonlinear MIMO systems is discussed. The robustness against parameter uncertainties is considered. In this paper, we proposed the robust output tracking control scheme for a class of MIMO 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$_{1}$+r$_{2}$+…r$_{m}$$\leq$ n and zero dynamics is stable. It is shown that the outputs of the closed-loop system asymptotically track given output trajectories despite the uncertainties while maintaining the boundedness of all signals inside the loop. And we verified that the proposed control scheme is then applied to the control of a two degree of freedom (DOF) robotic manipulator with payload.d.

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Adaptive Control of the Nonlinear Systems Using Diagonal Recurrent Neural Networks (대각귀환 신경망을 이용한 비선형 적응 제어)

  • Ryoo, Dong-Wan;Lee, Young-Seog;Seo, Bo-Hyeok
    • Proceedings of the KIEE Conference
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    • 1996.07b
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    • pp.939-942
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    • 1996
  • This paper presents a stable learning algorithm for diagonal recurrent neural network(DRNN). DRNN is applied to a problem of controlling nonlinear dynamical systems. A architecture of DRNN is a modified model of the Recurrent Neural Network(RNN) with one hidden layer, and the hidden layer is comprised of self-recurrent neurons. DRNN has considerably fewer weights than RNN. Since there is no interlinks amongs in the hidden layer. DRNN is dynamic mapping and is better suited for dynamical systems than static forward neural network. To guarantee convergence and for faster learning, an adaptive learning rate is developed by using Lyapunov function. The ability and effectiveness of identifying and controlling a nonlinear dynamic system using the proposed algorithm is demonstrated by computer simulation.

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