• Title/Summary/Keyword: non-linear dynamics

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Unified Control of Independent Braking and Steering Using Optimal Control Allocation Methods for Collision Avoidance (전(全)방향 충돌 회피를 위한 액츄에이터 최적 분배 알고리즘)

  • Kim, Kyuwon;Kim, Beomjun;Yi, Kyongsu
    • Journal of Auto-vehicle Safety Association
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    • v.5 no.2
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    • pp.11-16
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    • 2013
  • This paper presents a unified control algorithm of independent braking and steering for collision avoidance. The desired motion of the vehicle in the yaw plane is determined using the probabilistic risk assessment method based on target state estimation. For the purpose of coordinating the independent braking and steering, a non-linear vehicle model has been developed, which describes the vehicle dynamics in the yaw plane in both linear and extended non-linear ranges of handling. A control allocation algorithm determines the control inputs that minimize the difference between the desired and actual vehicle motions, while satisfying all actuator constraints. The performance of the proposed control algorithm has been investigated via computer simulations conducted using the vehicle dynamics software CARSIM and Matlab/Simulink.

STATIONARY GLOBAL DYNAMICS OF LOCAL MARKETS WITH QUADRATIC SUPPLIES

  • Kim, Yong-In
    • The Pure and Applied Mathematics
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    • v.16 no.4
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    • pp.427-441
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    • 2009
  • The method of Lattice Dynamical System is used to establish a global model on an infinite chain of many local markets interacting each other through a diffusion of prices between them. This global model extends the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution. We assume that each local market has linear decreasing demands and quadratic supplies with naive predictors, and investigate the stationary behaviors of global price dynamics and show that their dynamics are conjugate to those of $H{\acute{e}}non$ maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.

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TRAVELING WAVE GLOBAL PRICE DYNAMICS OF LOCAL MARKETS WITH LOGISTIC SUPPLIES

  • Kim, Yong-In
    • The Pure and Applied Mathematics
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    • v.17 no.1
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    • pp.93-106
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    • 2010
  • We employ the methods of Lattice Dynamical System to establish a global model extending the Walrasian evolutionary cobweb model in an independent single local market to the global market evolution over an infinite chain of many local markets with interaction of each other through a diffusion of prices between them. For brevity of the model, we assume linear decreasing demands and logistic supplies with naive predictors, and investigate the traveling wave behaviors of global price dynamics and show that their dynamics are conjugate to those of H$\acute{e}$non maps and hence can exhibit complicated behaviors such as period-doubling bifurcations, chaos, and homoclic orbits etc.

Causes of local collapse of a precast industrial roof after a fire

  • Bruno Dal Lago;Paride Tucci
    • Computers and Concrete
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    • v.31 no.5
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    • pp.371-384
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    • 2023
  • Precast roofing systems employing prestressed elements often serve as smart structural solutions for the construction of industrial buildings. The precast concrete elements usually employed are highly engineered, and often consist in thin-walled members, characterised by a complex behaviour in fire. The present study was carried out after a fire event damaged a precast industrial building made with prestressed beam and roof elements, and non-prestressed curved barrel vault elements interposed in between the spaced roof elements. As a consequence of the exposure to the fire, the main elements were found standing, although some locally damaged and distorted, and the local collapse of few curved barrel vault elements was observed in one edge row only. In order to understand and interpret the observed structural performance of the roof system under fire, a full fire safety engineering process was carried out according to the following steps: (a) realistic temperature-time curves acting on the structural elements were simulated through computational fluid dynamics, (b) temperature distribution within the concrete elements was obtained with non-linear thermal analysis in variable regime, (c) strength and deformation of the concrete elements were checked with non-linear thermal-mechanical analysis. The analysis of the results allowed to identify the causes of the local collapses occurred, attributable to the distortion caused by temperature to the elements causing loss of support in early fire stage rather than to the material strength reduction due to the progressive exposure of the elements to fire. Finally, practical hints are provided to avoid such a phenomenon to occur when designing similar structures.

A Study on the Non-linear Surface Reaction Model for the GaAs Film Growth During MOCVD Process (MOCVD공정을 이용한 GaAs박막성장의 비선형 표면반응모델에 대한 연구)

  • Im, Ik-Tae
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.32 no.3
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    • pp.181-189
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    • 2008
  • GaAs film growth process from trimethylgallium(TMGa) and tertiary-butylarsine(TBAs) using a horizontal MOCVD reactor was numerically studied to explain the experimental result that the decreasing surface reaction rate as the increasing partial pressure of group III species. Using the non-linear model based on the Langmuir isotherm which considers the adsorption and desorption of molecules, film deposition over the entire reactor scale was predicted by computational fluid dynamics (CFD) with the aid of the parameters obtained from the selective area growth (SAG) technique. CFD Results using the non-linear surface reaction model with the parameters determined from the SAG experiments predicted too high film growth rate compared to the measured values at the downstream region where the temperature was decreased abruptly. The pairs of ($k_s^n$, K) from the numerical simulations was $(2.52{\times}10K^{-6}mol/m^2/s,\;1.6{\times}10^5m^3/mol)$, whereas the experimentally determined was $(3.58{\times}10^{-5}mol/m^2/s,\;6.9{\times}10^5m^3/mol)$.

Design of an improved STT missile digital autopilot with respect to sampling time (샘플링 시간에 대해 개선된 Singular Perturbation 기반 STT missile 디지털 autopilot 설계)

  • 정선태
    • 제어로봇시스템학회:학술대회논문집
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    • 1997.10a
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    • pp.468-471
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    • 1997
  • In this paper, we investigate the time-sampling effects on the digital implementation of singular perturbation based STT autopilot with excellent performance and propose a compensation method for the time-sampling effects. In digitization of analog STT autopilot, it is found that the stability margin of the fast dynamics is mostly affected to lead to rapid decrease. Under the this analysis, a composite digital controller with additional compensator for fast dynamics is proposed to improve the time-sampling effect and a simulation verifies the result.

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Dynamics and motion control of an underactuated manipulator (비구동 관절을 가지는 매니퓰레이터의 동력학과 운동제어)

  • Yu, Kee-Ho
    • Journal of Institute of Control, Robotics and Systems
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    • v.3 no.5
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    • pp.476-481
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    • 1997
  • 본 논문에서는 비구동 관절을 가지는 2링크 매니퓰레이터의 동력학 해석과 운동제어를 제1적분을 기초로 하여 전개하고 있다. 매니퓰레이터의 운동이 제1적분의 적분상수에 의해서 기술되는 것을 보이고, 제1적분을 이용하여 매니퓰레이터의 동력학을 해석하고 있다. 그리고 해석된 동력학을 적극적으로 이용하는 운동제어 알고리즘을 구성하고 시뮬레이션을 통하여 확인하고 있다. 끝으로 비구동 관절에 마찰이 작용하는 경우, 브레이크등의 보조수단을 이용하지 않고도 매니퓰레이터의 제어가 가능함을 보이고 있다.

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Development of a Wheel/Rail Contact Module for Railway Vehicles (철도차량 차륜/레일 접촉모듈 개발)

  • Han, Hyung-Suk;Hur, Shin;Ha, Sung-Do
    • Proceedings of the KSR Conference
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    • 1999.05a
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    • pp.358-364
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    • 1999
  • A wheel/rail contact module for dynamics analysis of railway vehicles is developed. The developed module is based on non-linear contact and FASTSIM algorithm which calculates contact forces. And the module is incorporated into the general purpose program DADS using user-defined subroutines. The simulation results of this developed program is compared to those of the railway vehicle dynamics analysis program AGEM. Since the module is based on DADS, various simulation environments can be considered.

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Inventory Investment and Business Cycle: Asymmetric Dynamics of Inventory Investment over the Business Cycle Phases (재고투자와 경기변동: 재고투자 동학의 경기국면별 비대칭성)

  • Seo, Byeongseon;Jang, Keunho
    • Economic Analysis
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    • v.24 no.3
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    • pp.1-36
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    • 2018
  • When it comes to explaining the relationship between inventory investment and business fluctuations, the production smoothing theory and the stock-out avoidance theory take contradictory stances. Decision-making related to inventory investments of corporations is thought to be influenced by both motives, but the relative sizes or directions of their respective influences can differ depending upon the phase of the business cycle. Against this backdrop, this paper differs from existing studies in that it theoretically tests the relative significances of the production smoothing and stock-out avoidance motives in the inventory investment dynamics, while placing its analytical focus on determining the existence and patterns of the asymmetric dynamics of inventory investment over the business cycle phases. To this end this paper sets up a non-linear model that is expanded from the existing linear inventory investment model, and checks whether its predictive power is better than that of the existing model. The results of analysis confirm the nature of the asymmetric dynamics of inventory investment over the business cycle phases. A stock-out avoidance motive appears but there is no significant production smoothing motive in boom times. In downturns, in contrast, the stock-out avoidance motive is insignificant, but a quality of asymmetric dynamics in which changes in inventory cause the deepening of recessions, due to the non-convexity of production costs proposed by Ramey (1991), is detected. This paper confirms that a model considering the asymmetric dynamics of inventory investment can have better predictive power than one that does not consider it, through within-sample and out-of-sample predictions and various predictive power tests. These research results are expected to be useful for economic forecasting, through their enhancement of the understandings of the inventory investment dynamics and of the nature of its business cycle destabilization.