• Title/Summary/Keyword: conservation law

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UAV Formation Wight Control Law Utilizing Energy Maneuverability

  • Choi, Jong-Ug;Kim, You-Dan;Moon, Gwan-Young
    • International Journal of Aeronautical and Space Sciences
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    • v.9 no.1
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    • pp.31-41
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    • 2008
  • This paper deals with the energy saving problem of the follower aircraft in the loose leader-follower formation geometry in which the lateral separation between formation members is more than a wingspan of the leader aircraft. This formation geometry offers no drag benefit, but has a strategic advantage. In the case of loose formation flight, the follower aircraft usually consumes more energy than the leader aircraft because the follower aircraft should use more thrust to maintain given formation geometry, especially during the turning phase from the outside of the leader"s flight path or join-up phase. A formation control scheme based on the energy maneuverability is proposed in this paper. To design the proposed control law, the velocity command is designed using feedback linearization for the horizontal formation geometry and then coverts it to the altitude command using the energy equation. Numerical simulation is performed to verify the effectiveness of the proposed controller.

Cannonical Form of Acrobat Robot and Its Control of Swing-up (아크로뱃 로봇의 정준형과 도립제어)

  • 남택근;소명옥;박진길
    • Journal of Advanced Marine Engineering and Technology
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    • v.26 no.4
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    • pp.432-438
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    • 2002
  • In this paper, we described a technique for the swing-up control of a 2 link acrobat robot using a cannonical form which is derived form the law of conservation of an angular momentum based on the center of the first joint. The wide usefulness of the canonical form of the acrobat robot, which was suggested here, is could also be applied to control a free flying robot or an underactuated planar manipulator with no gravity term. Some simulation results are provided to verify the effectiveness of the proposed algorithm

Two Queue Single Server Model for the DQDB Man

  • Noh, Seung J.
    • Journal of the Korean Operations Research and Management Science Society
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    • v.22 no.2
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    • pp.31-44
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    • 1997
  • This paper presents an approximate analytical model to estimate the mean packet walting times at the stations in the IEEE 802, 6 subnetwork of a metropolitan area network. Each station is modeled as a two queue single server system, which serves data packets and requests from downstream stations according to the DQDB protocol. The model estimates the mean waiting time of the requests and in turn, using the discrete time work conservation law, estimates the mean waiting time for packets. Simulation experiments shows that the model accurately works even under very high traffic loads.

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Formulation for the Relativistic Blast Waves and GRB Afterglows

  • Uhm, Z. Lucas
    • The Bulletin of The Korean Astronomical Society
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    • v.35 no.1
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    • pp.81.1-81.1
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    • 2010
  • We present a detailed description of the blast-wave modeling technique for a very general class of GRB explosions. Providing a simple method of evaluating the blast energy, we demonstrate that a common approximation of pressure balance for the blast wave violates the energy-conservation law significantly for adiabatic blast waves. We show that the energy-violation problem is successfully resolved by the "mechanical model" that we developed. GRB afterglow lightcurves that are produced by the forward and reverse shock waves of the blast wave are presented.

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TRAFFIC FLOW MODELS WITH NONLOCAL LOOKING AHEAD-BEHIND DYNAMICS

  • Lee, Yongki
    • Journal of the Korean Mathematical Society
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    • v.57 no.4
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    • pp.987-1004
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    • 2020
  • Motivated by the traffic flow model with Arrhenius looka-head relaxation dynamics introduced in [25], this paper proposes a traffic flow model with look ahead relaxation-behind intensification by inserting look behind intensification dynamics to the flux. Finite time shock formation conditions in the proposed model with various types of interaction potentials are identified. Several numerical experiments are performed in order to demonstrate the performance of the modified model. It is observed that, comparing to other well-known macroscopic traffic flow models, the model equipped with look ahead relaxation-behind intensification has both enhanced dispersive and smoothing effects.

Numerical Investigation of 2DCD Nozzle Flow Having a Secondary Jet Injection for Thrust Vector Control (추력벡터제어를 위한 이차 분사유동이 있는 2DCD 노즐 내부의 수치적 연구)

  • Lee JinGyu;Chang KeunShik
    • 한국전산유체공학회:학술대회논문집
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    • 2002.10a
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    • pp.17-22
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    • 2002
  • A numerical solution procedure has been developed to analyze the flow field resulted from the injection of a transverse jet through the divergent flap of a 2DCD nozzle for thrust vector control. The formulation employs the compressible Navier-Stokes equations in conservation law form and a two equation $\kappa-\omega$ turbulence model. Detailed numerical results are presented in this paper for the 2DCD nozzle over a range of secondary to primary injection mass flow ratios and nozzle pressure ratios.

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Transient dynamic analysis of impact damage behavior for concrete (콘크리트의 순간동역학적 충돌손상 거동해석)

  • Park, Tae-Hyo;Noh, Myung-Hyun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.857-860
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    • 2006
  • In the present study, the method and procedure for analysis of impact damage behavior for concrete under penetration and perforation of projectile is investigated. Conservation law, equation of motion, initial and boundary conditions, and FEM formulation are introduced and derived respectively. Specially, the constitutive equation which rate-dependent damage combined with rate-dependent plasticity within the appropriate framework of theory of thermodynamics is examined. This paper aimed at the review with respect to impact damage models for concrete to develop that model. This paper is a basis research for the development of impact damage model for concrete.

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MATHEMATICAL MODELLING FOR THE AXIALLY MOVING PLATE WITH INTERNAL TIME DELAY

  • Kim, Daewook
    • East Asian mathematical journal
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    • v.37 no.5
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    • pp.619-626
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    • 2021
  • In [1, 2], we studied the string-like system with time-varying delay. Unlike the string system, the plate system must consider both longitudinal and transverse strains. First, we consider the physical phenomenon of an axially moving plate concerning kinetic energy, potential energy, and work dones. By the energy conservation law in physics, we have a nonlinear plate-like system with internal time delay.

MATHEMATICAL MODELLING FOR THE AXIALLY MOVING MEMBRANE WITH INTERNAL TIME DELAY

  • Kim, Daewook
    • East Asian mathematical journal
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    • v.37 no.1
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    • pp.141-147
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    • 2021
  • In [1], we studied the PDE system with time-varing delay. Time delay occurs due to loosening in a high-speed moving axially directed membrane (string, belt, or plate) at production. Our purpose in this work derives a mathematical model with internal time delay. First, we consider the physical phenomenon of axially moving membrane with respect to kinetic energy, potential energy and work done. By the energy conservation law in physics, we get the second order nonlinear PDE system with internal time delay.

Pressure Control Law of Gas Generator Considering Combustion Volume Change (연소공간 변화를 보상하는 가스발생기 압력 제어기법)

  • Park, Ik-Soo;Lee, Jae-Yoon;Choi, Ho-Jin;Kim, Jung-Hoe;Yoon, Hyun-Gull;Lim, Jin-Shik
    • Journal of the Korean Society of Propulsion Engineers
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    • v.16 no.3
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    • pp.34-40
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    • 2012
  • A pressure control law to regulate pressure of gas generator is suggested. To design a model based control law, the governing equation which consists of Robert and conservation equation is built and verified through the ground burning test. PID and nonlinear adaptive control laws are designed to analyze the loop response characteristics under the system which has varying eigen properties arisen from combustion volume change. It is suggested that new approach, gain scheduling design, is required to overcome the defects identified from numerical simulation results of the two control laws. The newly suggested scheme shows good control performance even under disturbances and measurement noise.