• Title/Summary/Keyword: Recursive Formulation

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Control of Chaos Dynamics in Jordan Recurrent Neural Networks

  • Jin, Sang-Ho;Kenichi, Abe
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.43.1-43
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    • 2001
  • We propose two control methods of the Lyapunov exponents for Jordan-type recurrent neural networks. Both the two methods are formulated by a gradient-based learning method. The first method is derived strictly from the definition of the Lyapunov exponents that are represented by the state transition of the recurrent networks. The first method can control the complete set of the exponents, called the Lyapunov spectrum, however, it is computationally expensive because of its inherent recursive way to calculate the changes of the network parameters. Also this recursive calculation causes an unstable control when, at least, one of the exponents is positive, such as the largest Lyapunov exponent in the recurrent networks with chaotic dynamics. To improve stability in the chaotic situation, we propose a non recursive formulation by approximating ...

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Subsystem Synthesis Methods with Independent Coordinates for Real-Time Multibody Dynamics

  • Kim Sung-Soo;Wang Ji-Hyeun
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.312-319
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    • 2005
  • For real time dynamic simulation, two different subsystem synthesis methods with independent generalized coordinates have been developed and compared. In each formulation, the subsystem equations of motion are generated in terms of independent generalized coordinates. The first formulation is based on the relative Cartesian coordinates with respect to moving subsystem base body. The second formulation is based on the relative joint coordinates using recursive formulation. Computational efficiency of the formulations has been compared theoretically by the arithmetic operational counts. In order to verify real-time capability of the formulations, bump run simulations of a quarter car model with SLA suspension subsystem have been carried out to measure the actual CPU time.

Subsystem Synthesis Methods with Independent Coordinates for Multi-body Dynamics Systems (다물체 동역학 시스템을 위한 독립 좌표에 의한 부분 시스템 합성 방법)

  • Song, Kum-Jung;Kim, Sung-Soo
    • Proceedings of the KSME Conference
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    • 2003.11a
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    • pp.1724-1729
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    • 2003
  • Two different subsystem synthesis methods with independent generalized coordinates have been developed and compared. In each formulation, the subsystem equations of motion are generated in terms of independent generalized coordinates. The first formulation is based on the relative Cartesian coordinates with respect to moving subsystem base (virtual) body. The second formulation is based on the relative joint coordinates using recursive formulation. Computational efficiency of the formulations has been compared theoretically by the operational counting method.

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ARMA System identification Using GTLS method and Recursive GTLS Algorithm (GTLS의 ARMA시트템식별에의 적용 및 적응 GTLS 알고리듬에 관한 연구)

  • Kim, Jae-In;Kim, Jin-Young;Rhee, Tae-Won
    • The Journal of the Acoustical Society of Korea
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    • v.14 no.3
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    • pp.37-48
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    • 1995
  • This paper presents an sstimation of ARMA coefficients of noisy ARMA system using generalized total least square (GTLS) method. GTLS problem for ARMA system is defined as minimizing the errors between the noisy output vectors and estimated noisy-free output. The GTLS problem is solved in closed form by eigen-problem and the perturbation analysis of GTLS is presented. Also its recursive solution (recursive GTLS) is proposed using the power method and the covariance formula of the projected output error vector into the input vector space. The simulation results show that GTLS ARMA coefficients estimator is an unbiased estimator and that recursive GTLS achieves fast convergence.

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Pretension process control based on cable force observation values for prestressed space grid structures

  • Zhou, Zhen;Meng, Shao-Ping;Wu, Jing
    • Structural Engineering and Mechanics
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    • v.34 no.6
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    • pp.739-753
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    • 2010
  • Pointing to the design requirement of prestressed space grid structure being the target cable force, the pretension scheme decision analysis method is studied when there's great difference between structural actual state and the analytical model. Based on recursive formulation of cable forces, the simulative recursive system for pretension process is established from the systematic viewpoint, including four kinds of parameters, i.e., system initial value (structural initial state), system input value (tensioning control force scheme), system state parameters (influence matrix of cable forces), system output value (pretension accomplishment). The system controllability depends on the system state parameters. Based on cable force observation values, the influence matrix for system state parameters can be calculated, making the system controllable. Next, the pretension scheme decision method based on cable force observation values can be formed on the basis of iterative calculation for recursive system. In this way, the tensioning control force scheme that can meet the design requirement when next cyclic supplemental tension finished is obtained. Engineering example analysis results show that the proposed method in this paper can reduce a lot of cyclic tensioning work and meanwhile the design requirement can be met.

Three-Dimensional Sheet Modeling Using Relative Coordinate (상대 좌표를 이용한 종이류 모델링 기법)

  • Cho Heui Je;Bae Dae Sung
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.2 s.233
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    • pp.247-252
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    • 2005
  • This research presents a three-dimensional modeling technique for a flexible sheet. A relative coordinate formulation is used to represent the kinematics of the sheet. The three-dimensional flexible sheet is modeled by multi-rigid bodies interconnected by out-of-plane joints and plate force elements. A parent node is designated as a master body and is connected to the ground by a floating joint to cover the rigid motion of the flexible sheet in space. Since the in-plane deformation of a sheet such as a paper and a film is relatively small, compared to out-of-plane deformation, only the out-of-plane deformation is accounted for in this research. The recursive formulation has been adopted to solve the equations of motion efficiently. An example is presented to show the validity of the proposed method.

Simulation and Experimental Methods for Media Transport System: Part I, Three-Dimensional Sheet Modeling Using Relative Coordinate

  • Cho, Heui-Je;Bae, Dea-Sung;Choi, Jin-Hwan;Lee, Soon-Geul;Rhim, Sung-Soo
    • Journal of Mechanical Science and Technology
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    • v.19 no.spc1
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    • pp.305-311
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    • 2005
  • This research presents a three-dimensional modeling technique for a flexible sheet. A relative coordinate formulation is used to represent the kinematics of the sheet. The three-dimensional flexible sheet is modeled by multi-rigid bodies interconnected by out-of-plane joints and plate force elements. A parent node is designated as a master body and is connected to the ground by a floating joint to cover the rigid motion of the flexible sheet in space. Since the in-plane deformation of a sheet such as a paper and a film is relatively small, compared to out-of-plane deformation, only the out-of-plane deformation is accounted for in this research. The recursive formulation has been adopted to solve the equations of motion efficiently. An example is presented to show the validity of the proposed method.

Calculation of the Dynamic Contact Force between a Shipbuilding Block and Wire Ropes of a Goliath Crane for the Optimal Lug Arrangement (최적 러그 배치를 위한 골리앗 크레인의 와이어 로프와 선체 블록간의 동적 접촉력 계산)

  • Ku, Nam-Kug;Roh, Myung-Il;Cha, Ju-Hwan
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.25 no.5
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    • pp.375-380
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    • 2012
  • In this study, dynamic load and dynamic contact force between a building block and wire ropes of a goliath crane are calculated during lifting or turn-over of a building block for the design of an optimal lug arrangement system. In addition, a multibody dynamics kernel for implementing the system were developed. In the multibody dynamics kernel, the equations of motion are constructed using recursive formulation. To evaluate the applicability of the developed kernels, the interferences and dynamic contact force between the building block and wire ropes were calculated and then the hull structural analysis for the block was performed using the calculation result.

Simulation and Experimental Methods for Three-Dimensional Sheet Media Transport System Using Relative Coordinate (상대좌표를 이용한 3차원 미디어 이송장치에 대한 실험방법과 Simulation에 대한 연구)

  • Dae, Dae-Sung;Cho, Heui-Je
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2005.11a
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    • pp.573-576
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    • 2005
  • This research presents a three-dimensional modeling technique for a flexible sheet. A relative coordinate formulation is used to represent the kinematics of the sheet. The three-dimensional flexible sheet is modeled by multi-rigid bodies interconnected by out-of-plane joints and plate force elements. A parent node is designated as a master body and is connected to the ground by a floating joint to cover the rigid motion of the flexible sheet in space. Since the in-plane deformation of a sheet such as a paper and a film is relatively small, compared to out-of-plane deformation, only the out-of-plane deformation is accounted for in this research. The recursive formulation has been adopted to solve the equations of motion efficiently. An example is presented to show the validity of the proposed method.

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A Computer Method for the Dynamic Analysis of a System of Rigid Bodies in Plane Motion

  • Attia, Hazem-Ali
    • Journal of Mechanical Science and Technology
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    • v.18 no.2
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    • pp.193-202
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    • 2004
  • This paper presents a computer method for the dynamic analysis of a system of rigid bodies in plane motion. The formulation rests upon the idea of replacing a rigid body by a dynamically equivalent constrained system of particles. Newton's second law is applied to study the motion of the resulting system of particles without introducing any rotational coordinates. A velocity transformation is used to transform the equations of motion to a reduced set. For an open-chain, this process automatically eliminates all of the non-working constraint forces and leads to an efficient integration of the equations of motion. For a closed-chain, suitable joints should be cut and few cut-joints constraint equations should be included. An example of a closed-chain is used to demonstrate the generality and efficiency of the proposed method.