• Title/Summary/Keyword: State space equation

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Active Vibration Control of UAV EO/IR Sensor Mount Using Piezoelectric Actuator (압전작동기를 이용한 무인항공기 EO/IR 센서 마운트의 능동 진동 제어)

  • Park, Dong-Hyun;Choi, Seung-Bok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.18 no.12
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    • pp.1278-1285
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    • 2008
  • This paper presents an inertia type of piezostack based active mount fur unmanned aero vehicle (UAV) camera system. After identifying the stiffness and damping properties of the rubber element and piezostack a mechanical model of the active mount system is established. The governing equation of mount is then derived and expressed in a state space form. Subsequently, a sliding mode controller which is robust to uncertain parameters is designed in order to reduce the vibration imposed according to the military specification associated with UAV camera mount system operation. Control performances such as acceleration and transmitted force are evaluated through both computer simulation and experimental implementation.

Energy-Saving Oriented On/Off Strategies in Heterogeneous Networks : an Asynchronous Approach with Dynamic Traffic Variations

  • Tang, Lun;Wang, Weili;Chen, Qianbin
    • KSII Transactions on Internet and Information Systems (TIIS)
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    • v.12 no.11
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    • pp.5449-5464
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    • 2018
  • Recent works have validated the possibility of reducing the energy consumption in wireless heterogeneous networks, achieved by switching on/off some base stations (BSs) dynamically. In this paper, to realize energy conservation, the discrete time Markov Decision Process (DTMDP) is developed to match up the BS switching operations with the traffic load variations. Then, an asynchronous decision-making algorithm, which is based on the Bellman equation and the on/off priorities of the BSs, is firstly put forward and proved to be optimal in this paper. Through reducing the state and action space during one decision, the proposed asynchronous algorithm can avoid the "curse of dimensionality" occurred in DTMDP frequently. Finally, numerical simulations are conducted to validate the effectiveness and advantages of the proposed asynchronous on/off strategies.

STABILITYANALYSIS OF LINGUISTIC FUZZY MODEL SYSTEMS IN STATESPACE

  • Kim, Won C.;Woo
    • Proceedings of the Korean Institute of Intelligent Systems Conference
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    • 1993.06a
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    • pp.953-955
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    • 1993
  • In this paper we propose a new stability theorem and a robust stability condition for linguistic fuzzy model systems in state space. First we define a stability in linear sense. After representing the fuzzy model by a system with disturbances, A necessary and sufficient condition for the stability is derived. This condition is proved to be a sufficient condition of the fuzzy model. The Q in the Lyapunov equation is iteratively adjusted by an gradient-based algorithm to improve its stability test. Finally, stability robustness bounds of a system having modeling error is derived. An example is also included to show that the stability test is powerful.

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Analytic Linearization of Symbolic Nonlinear Equations (기호 비선형 방정식의 해석적 선형화)

  • Song, Sung-Jae;Moon, Hong-Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.12 no.6
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    • pp.145-151
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    • 1995
  • The first-order Taylor series expansion can be evaluated analytically from the formulated symbolic nonlinear dynamic equations. A closed-form linear dynamic euation is derived about a nominal trajectory. The state space representation of the linearized dynamics can be derived easily from the closed-form linear dynamic equations. But manual symbolic expansion of dynamic equations and linearization is tedious, time-consuming and error-prone. So it is desirable to manipulate the procedures using a computer. In this paper, the analytic linearization is performed using the symbolic language MATHEMATICA. Two examples are given to illustrate the approach anbd to compare nonlinear model with linear model.

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Transitional Dark Energy - A solution to the H0 tension

  • Keeley, Ryan
    • The Bulletin of The Korean Astronomical Society
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    • v.44 no.2
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    • pp.59.2-59.2
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    • 2019
  • In this talk, I will explain the implications of a rapid appearance of dark energy between the redshifts ($z$) of one and two on the expansion rate and growth of perturbations. Using both Gaussian process regression and a parametric model, I show that this is the preferred solution to the current set of low-redshift ($z<3$) distance measurements if $H_0=73~\rm km\,s^{-1}\,Mpc^{-1}$ to within 1\% and the high-redshift expansion history is unchanged from the $\Lambda$CDM inference by the Planck satellite. Dark energy was effectively non-existent around $z=2$, but its density is close to the $\Lambda$CDM model value today, with an equation of state greater than $-1$ at $z<0.5$. If sources of clustering other than matter are negligible, we show that this expansion history leads to slower growth of perturbations at $z<1$, compared to $\Lambda$CDM, that is measurable by upcoming surveys and can alleviate the $\sigma_8$ tension between the Planck CMB temperature and low-redshift probes of the large-scale structure.

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DECAY OF TURBULENCE IN FLUIDS WITH POLYTROPIC EQUATIONS OF STATE

  • Lim, Jeonghoon;Cho, Jungyeon
    • Journal of The Korean Astronomical Society
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    • v.53 no.2
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    • pp.49-57
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    • 2020
  • We present numerical simulations of decaying hydrodynamic turbulence initially driven by solenoidal (divergence-free) and compressive (curl-free) drivings. Most previous numerical studies for decaying turbulence assume an isothermal equation of state (EOS). Here we use a polytropic EOS, P ∝ ργ, with polytropic exponent γ ranging from 0.7 to 5/3. We mainly aim at determining the effects of γ and driving schemes on the decay law of turbulence energy, E ∝ t. We additionally study probability density function (PDF) of gas density and skewness of the distribution in polytropic turbulence driven by compressive driving. Our findings are as follows. First of all, we find that even if γ does not strongly change the decay law, the driving schemes weakly change the relation; in our all simulations, turbulence decays with α ≈ 1, but compressive driving yields smaller α than solenoidal driving at the same sonic Mach number. Second, we calculate compressive and solenoidal velocity components separately and compare their decay rates in turbulence initially driven by compressive driving. We find that the former decays much faster so that it ends up having a smaller fraction than the latter. Third, the density PDF of compressively driven turbulence with γ > 1 deviates from log-normal distribution: it has a power-law tail at low density as in the case of solenoidally driven turbulence. However, as it decays, the density PDF becomes approximately log-normal. We discuss why decay rates of compressive and solenoidal velocity components are different in compressively driven turbulence and astrophysical implication of our findings.

Mid-course Trajectory Optimization for Boost-Glide Missiles Based on Convex Programming (컨벡스 프로그래밍을 이용한 추진-활공 유도탄의 중기궤적 최적화)

  • Kwon, Hyuck-Hoon;Hong, Seong-Min;Kim, Gyeong-Hun;Kim, Yoon-Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.49 no.1
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    • pp.21-30
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    • 2021
  • Mid-course trajectory of the missiles equipped with seeker should be designed to detect target within FOV of seeker and to maximize the maneuverability at the point of transition to terminal guidance phase. Because the trajectory optimization problems are generally hard to obtain the analytic solutions due to its own nonlinearity with several constraints, the various numerical methods have been presented so far. In this paper, mid-course trajectory optimization problem for boost-glide missiles is calculated by using SOCP (Second-Order Cone Programming) which is one of convex optimization methods. At first, control variable augmentation scheme with a control constraint is suggested to reduce state variables of missile dynamics. And it is reformulated using a normalized time approach to cope with a free final time problem and boost time problem. Then, partial linearization and lossless convexification are used to convexify dynamic equation and control constraint, respectively. Finally, the results of the proposed method are compared with those of state-of-the-art nonlinear optimization method for verification.

Multiple steady state solutions in a two dimensional cavity flow (2차원 캐비티 유동에서 다중 정상 해에 관한 연구)

  • Cho Ji Ryong;Hong Sang Pyo;Kim Geun Oh;Kim Yun Taek
    • 한국전산유체공학회:학술대회논문집
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    • 1999.11a
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    • pp.127-138
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    • 1999
  • In this study steady state solutions of cavity flows driven by two moving walls are studied. The north and east walls of the cavity are movable where as the remaining two walls are fixed in space. Numerical experiments for three different driving schemes for moving walls are done at two different Reynolds numbers of Re=40 and 400. The first scheme is to accelerate north and east walls simultaneously. In the second one, the north wall is started first and the east wall is accelerated later. In the third one the east wall starts first. It is usually expected that all these three cases yield the same steady state solution after sufficiently long time. However, present numerical experiments show that such a usual belief is valid only when the Reynolds number is low enough (Re=40). At higher Reynolds number (Re=400), the flow develops to three different steady states depending on the history of the boundary condition change.

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Position Control of Mobile Robot for Human-Following in Intelligent Space with Distributed Sensors

  • Jin Tae-Seok;Lee Jang-Myung;Hashimoto Hideki
    • International Journal of Control, Automation, and Systems
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    • v.4 no.2
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    • pp.204-216
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    • 2006
  • Latest advances in hardware technology and state of the art of mobile robot and artificial intelligence research can be employed to develop autonomous and distributed monitoring systems. And mobile service robot requires the perception of its present position to coexist with humans and support humans effectively in populated environments. To realize these abilities, robot needs to keep track of relevant changes in the environment. This paper proposes a localization of mobile robot using the images by distributed intelligent networked devices (DINDs) in intelligent space (ISpace) is used in order to achieve these goals. This scheme combines data from the observed position using dead-reckoning sensors and the estimated position using images of moving object, such as those of a walking human, used to determine the moving location of a mobile robot. The moving object is assumed to be a point-object and projected onto an image plane to form a geometrical constraint equation that provides position data of the object based on the kinematics of the intelligent space. Using the a priori known path of a moving object and a perspective camera model, the geometric constraint equations that represent the relation between image frame coordinates of a moving object and the estimated position of the robot are derived. The proposed method utilizes the error between the observed and estimated image coordinates to localize the mobile robot, and the Kalman filtering scheme is used to estimate the location of moving robot. The proposed approach is applied for a mobile robot in ISpace to show the reduction of uncertainty in the determining of the location of the mobile robot. Its performance is verified by computer simulation and experiment.

The Effects of Flow in a Metaverse-based Virtual Brand Space on Satisfaction and Purchase Intention of Virtual and Actual Fashion Products (메타버스 기반 브랜드 가상 공간 내 플로우가 만족과 가상 및 실제 패션 제품 구매의도에 미치는 영향)

  • Hyesim Seo;Eunah Yoh
    • Journal of the Korean Society of Clothing and Textiles
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    • v.47 no.5
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    • pp.891-906
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    • 2023
  • The essence of fashion brands' marketing with metaverse-based virtual spaces is to capture more potential consumers and boost the sales of companies' virtual and physical products. However, existing research has not fully addressed customer responses and behavioral outcomes regarding fashion virtual brand spaces. This study uses flow theory to address this gap and explores the factors that lead to the flow experience in virtual brand spaces. It also establishes the causal relationships between the flow experience, satisfaction with virtual spaces, the intention to purchase virtual products, and the intention to purchase actual products. We chose "Ralph Lauren World" of Ralph Lauren on Zepeto as the virtual brand space for this study and analyzed 239 valid data sets. We tested the hypotheses using structural equation modeling and bootstrapping for the mediation analyses. The findings indicate that the flow experience in virtual brand spaces positively and indirectly affects the purchase intention of virtual products via satisfaction with virtual brand spaces. In addition, virtual space satisfaction had an indirect, positive effect on actual product purchase intention through virtual product purchase intention. The research emphasizes that the purchase intention of virtual and actual products has a positive causal relationship.