• Title/Summary/Keyword: non-linear problem

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LQG Controller Design for Active Suspensions using Evolution Strategy and Neural Network (진화전략과 신경회로망을 이용한 능동 현가장치 LQG 제어기 설계)

  • Cheon, Jong-Min;Kim, Jong-Moon;Park, Min-Kook;Kwon, Soon-Man
    • Proceedings of the KIEE Conference
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    • 2006.10c
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    • pp.266-268
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    • 2006
  • In this paper, we design a Linear Quadratic Gaussian(LQG) controller for active suspensions. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Using an optimization-algorithm, Evolution Strategy(ES), we find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies.

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Minimization of consumption energy for a manipulator with nonlinear friction in PPT motion

  • Izumi, T.;Takase, K.
    • 제어로봇시스템학회:학술대회논문집
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    • 1994.10a
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    • pp.95-99
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    • 1994
  • Robot engineering is developed mainly in the field of intelligibility such as a manipulation. Considering the popularization of robots in the future, however, a robot should be studied from a viewpoint of saving energy because a robot is a kind of machine with a energy conversion. This paper deals with minimizing an energy consumption of a manipulator which is driven in a point-to-point control method. When a manipulator carries a heavy payload toward gravitation or the links are de-accelerated for positioning, the motors at joints generate electric energy. Since this energy can be regenerated to the source by using a chopper, the energy consumption of a manipulator is only heat loss by an electric and a frictional resistance of the motors. The minimization of the sum of these losses is reduced Lo a two-points boundary-value problem of an non-linear differential equation. The solutions are obtained by the generalized Newton-Raphson method in this paper. The energy consumption due to the optimum angular velocity patterns of two joints of a two-links manipulator is compared with conventional velocity patterns such as quadratic and trapezoid.

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A CONTROLLER DESIGN OF ACTIVE SUSPENSION USING EVOLUTION STRATEGY AND NEURAL NETWORK

  • Cheon, Jong-Min;Kim, Seog-Joo;Lee, Jong-Moo;Kwon, Soon-Man
    • 제어로봇시스템학회:학술대회논문집
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    • 2005.06a
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    • pp.1530-1533
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    • 2005
  • In this paper, we design a Linear Quadratic Gaussian controller for the active suspension. We can improve the inherent suspension problem, trade-off between the ride quality and the suspension travel by selecting appropriate weights in the LQ-objective function. Because any definite rules for selecting weights do not exist, we use an optimization-algorithm, Evolution Strategy (ES) to find the proper control gains for selected frequencies, which have major effects on the vibrations of the vehicle's state variables. The frequencies and proper control gains are used for the neural network data. During a vehicle running, the trained on-line neural network is activated and provides the proper gains for non-trained frequencies. For the full-state feedback control, Kalman filter observes the full states and Fourier transform is used to detect the frequency of the road.

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Image Reconstruction with Prior Information in Electrical Resistance Tomography

  • Kim, Bong Seok;Kim, Sin;Kim, Kyung Youn
    • Journal of IKEEE
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    • v.18 no.1
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    • pp.8-18
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    • 2014
  • Electrical resistance tomography (ERT) has high temporal resolution characteristics therefore it is used as an alternative technique to visualize two-phase flows. The image reconstruction in ERT is highly non-linear and ill-posed hence it suffers from poor spatial resolution. In this paper, the inverse problem is solved with homogeneous data used as a prior information to reduce the condition number of the inverse algorithm and improve the spatial resolution. Numerical experiments have been carried out to illustrate the performance of the proposed method.

A Study on Combination of Various Numerical Analysis Methods (이종해법의 병용에 관한 연구)

  • Im, Jee-Won;Choo, Dong-Woog;Han, Seok-Woo
    • Proceedings of the KIEE Conference
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    • 2000.07e
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    • pp.99-103
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    • 2000
  • The finite element method (FEM) is suitable for the analysis of a complicated region that includes nonlinear materials, whereas the boundary element method (BEM) is naturally effective for analyzing a very large region with linear characteristics. Therefore, considering the advantages in both methods, a novel algorithm for the alternate application of the FEM and BEM to magnetic field problems with the open boundary is presented. This approach avoids the disadvantages of the typical numerical methods with the open boundary problem such as a great number of unknown values for the FEM and non-symmetric matrix for the Hybrid FE-BE method. The solution of the overall problems is obtained by iterative calculations accompanied with the new acceleration method.

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Large eddy simulation of turbulent boundary layer effects on stratified fluids in a rotating conical container

  • Lee, Sang-Ki;Bae, Jun-Hong;Hwang, Eyl-Seon;M. Sadasivam
    • Proceedings of the Korea Committee for Ocean Resources and Engineering Conference
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    • 2000.04a
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    • pp.75-80
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    • 2000
  • We revisit the arrested Ekman boundary layer problem, using a fully non-linear numerical model with the subgrid dissipation modeled by the large eddy simulation method (LES). The main objective of this study is to find out whether the dynamic balance of the arrested Ekman boundary layer explained by MacCready and Rhines (1991) is valid for high Reynolds number. The model solution indicates that for high Reynolds number and low Richardson number flows, the density anomaly diffusion by near-wall turbulent action may become intense enough to homogenize completely the density structure within the boundary layer, in the direction perpendicular to the sloping wall. Then the buoyancy effect becomes negligible allowing a near-equilibrium Ekman boundary layer flow to persist for a long period.

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Yoke Topology Optimization of the Bias Magnetic System in a Magnetostrictive Sensor (자기변형 센서 바이어스 자기계의 요크 위상최적설계)

  • Kim, Yoon-Young;Kim, Woo-Chul
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.7
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    • pp.923-929
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    • 2004
  • A magnetostrictive sensor is a sensor measuring elastic waves. Because of its unique non-contact measurement feature, the sensor receives more attentions in recent years. These sensors have been mainly used to measure longitudinal and torsional waves in ferromagnetic waveguides, but there increases an interest in using the sensor for flexural wave measurement. Since the performance of the sensor is strongly influenced by the applied bias magnetic field distribution, the design of the bias magnetic system providing the desired magnetic field is critical. The motivation of this investigation is to design a bias magnetic system consisting of electromagnets and yokes and the specific objective is to formulate the design problem as a bias yoke topology optimization. For the formulation, we employ linear magnetic behavior and examine the optimized results for electromagnets located at various locations. After completing the design optimization, we fabricate the prototype of the proposed bias magnetic system, and test its performance through flexural wave measurements.

Dynamic behaviour of multi-stiffened plates

  • Bedair, Osama
    • Structural Engineering and Mechanics
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    • v.31 no.3
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    • pp.277-296
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    • 2009
  • The paper investigates the dynamic behaviour of stiffened panels. The coupled differential equations for eccentric stiffening configuration are first derived. Then a semi-analytical procedure for dynamic analysis of stiffened panels is presented. Unlike finite element or finite strip methods, where the plate is discretized into a set of elements or strips, the plate in this procedure is treated as a single element. The potential energy of the structure is first expressed in terms generalized functions that describe the longitudinal and transverse displacement profiles. The resulting non-linear strain energy functions are then transformed into unconstrained optimization problem in which mathematical programming techniques are employed to determine the magnitude of the lowest natural frequency and the associated mode shape for pre-selected plate/stiffener geometric parameters. The described procedure is verified with other numerical methods for several stiffened panels. Results are then presented showing the variation of the natural frequency with plate/stiffener geometric parameters for various stiffening configurations.

Josephson Junction Array for Voltage Metrology: Microwave Enhancement by Coupled Self-Generations in Series Array (전압 측정표준용 조셉슨 접합 어레이: 직렬 어레이에서 상호 결합된 자체발진의 마이크로파 증진)

  • Kim K.-T.;Kim M.-S.;Chong Y.-W.
    • Progress in Superconductivity
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    • v.7 no.1
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    • pp.11-16
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    • 2005
  • Coupling of non-linear oscillators have long been an interesting problem for physicists. The coupling phenomena have been frequently observed in Josephson junction series array, which have been used for Josephson voltage standard. Interestingly pronounced self-generation effect has been found during recent development of Josephson arrays for programmable Josephson voltage standard. But the coupling effect between the self-generations is not fully understood yet. We present harmonically approximated analytical solutions for coupled self-generations in the Josephson arrays, i.e., Superconductor-Insulator-Normal metal-Insulator-Superconductor (SINIS) array, externally shunted Superconductor-Insulator-Supercondctor (es-SIS) array, Superconductor-Normal metal-Superconductor (SNS) array. We find that the coupling between the self-generated Josephson oscillations through microwave transmission line plays critical role in microwave property of the Josephson array.

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Feasibility Test of the Numerical Optimization for the Fast IMRT Planning

  • Cheong, Kwang-Ho;Suh, Tae-Suk;Dempsey, James F.
    • Proceedings of the Korean Society of Medical Physics Conference
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    • 2005.04a
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    • pp.79-82
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    • 2005
  • In this study, we have tested the feasibility of the convex non-linear objective model and the line search optimization method for the fluence map optimization (FMO). We've created the convex nonlinear objective function with simple bound constraints and attained the optimal solution using well-known gradient algorithms with an Armijo line search that requires sufficient objective function decrease. The algorithms were applied to 10 head-and-neck cases. The numbers of beamlets were between 900 and 2,100 with a 3 mm isotropic dose grid. Nonlinear optimization methods could efficiently solve the IMRT FMO problem in well under a minute with high quality for clinical cases.

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