• Title/Summary/Keyword: Asymptotic Theory

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Design of on Adaptive Current Controller for a PMSM AC Servo Motor (PMSM 교류 서보모터의 적응형 전류 제어기 설계)

  • Kim, Kyeong-Hwa
    • Journal of the Korean Institute of Illuminating and Electrical Installation Engineers
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    • v.21 no.10
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    • pp.73-81
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    • 2007
  • To improve the capability of instantaneous torque control, a design method of an MRAC-based adaptive current controller for a PMSM servo motor is proposed. In the synchronous frame current controller, a new control inputs can be obtained through the decoupling compensation. Using this, a desired controller bandwidth can be assigned However, the control performance may be degraded due to disturbances caused by the parameter variations or dead time of the switch. To improve these drawbacks, an adaptive current controller is proposed and the design method is obtained using the hyperstability theory. The asymptotic stability is proved and the effectiveness is verified through simulations and experiments using DSP TMS320C31.

Sub-1V Series-Tuned Differential Colpitts VCO with Quarter Wavelength Microstrip Line Current Sources (1/4 파장 마이크로스트립 라인을 전류원을 갖는 서브-1V 직렬공진 차동 콜피츠 전압제어 발진기)

  • Jeon, Man-Young
    • Journal of IKEEE
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    • v.18 no.4
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    • pp.625-629
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    • 2014
  • This study derives the asymptotic phase noise formula of the oscillators perturbed by the colored noises. Based on the derived formula, this study presents a sub-1V series-tuned differential Colpitts VCO. The ADS simulation result on the phase noise shows that the presented VCO exhibits about 3dBc/Hz lower phase noise at the 1MHz offset frequency from the oscillation frequency of 4.8GHz than the existing series-tuned differential Colpitts VCO with the inductor current sources.

Behavior of trabecular bone considered by fluid phase and strain rate (유체상과 변형율속도를 고려한 해면골의 거동해석)

  • 민성기;홍정화;문무성;이진희
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2002.10a
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    • pp.1078-1080
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    • 2002
  • The pressure variation of interstitial fluid is one of the most important factors in bone physiology. In order to understand the role of interstitial fluid and the biomechanical interactions between fluid and solid constituents within bone, poroelastic theory was applied. The purpose of this study is to describe the behavior of calf vertebral trabecular bone composed of the porous solid trabeculae and the viscous bone marrow by using a commercial finite element analysis program based on the poroelasticity. In this study, the model was numerically tested for 5 different strain rates, i. e., 0.001, 0.01, 0.1, 1.0, and 10 per second. The material properties of the calf vertebral trabecular bone were utilized from the previous experimental study. Two asymptotic poroelastic response, the drained and undrained deformation, were predicted. From the predicted results for the simulated five strain rate, it was found that the pore pressure generation has a linearly increasing behavior when the strain rate is the highest at 10 per second, other wise it showed a nonlinear the strain rate Increased. Based on the results of the present study, it was suggested that the calf vertebral trabecular bone could be modeled as a porous material and its strain rate dependent material behavior could be predicted.

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On the Characteristics of Hydrodynamic Forces in a Restricted Water (제한수역에서의 동유체력에 대한 고찰)

  • I.H. Cho;Hang-S. Choi
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.1
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    • pp.55-60
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    • 1992
  • A study has been made on the hydrodynamic forces on and the motion response of a sliding block in a bay within the framework of linear potential theory. To simplify the problem, following assumptions are made : The configuration of the bay is a long channel with narrow width, constant depth and straight coastline. Incident waves are long compared to the depth. We applied matched asymptotic expansion techniques. The flued domain is subdivided into three regions ; ocean, bay entrance, bay regions. Boundary-vague problems are solved first in each region. Then unknown coefficients are determined by matching individual solutions at the intermediate region between two neighboring legions. It is found that the motion of the block is greatly amplified at the resonant frequencies, in particular at the quarter wavelength mode. We examined the mechanism of negative added mass, which results from the localized hydrodynamic resonance.

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Disturbance observer based adaptive sliding mode control for power tracking of PWRs

  • Hui, Jiuwu;Yuan, Jingqi
    • Nuclear Engineering and Technology
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    • v.52 no.11
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    • pp.2522-2534
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    • 2020
  • It is well known that the model of nuclear reactors features natural nonlinearity, and variable parameters during power tracking operation. In this paper, a disturbance observer-based adaptive sliding mode control (DOB-ASMC) strategy is proposed for power tracking of the pressurized-water reactor (PWR) in the presence of lumped disturbances. The nuclear reactor model is firstly established based on point-reactor kinetics equations with six delayed neutron groups. Then, a new sliding mode disturbance observer is designed to estimate the lumped disturbance, and its stability is discussed. On the basis of the developed DOB, an adaptive sliding mode control scheme is proposed, which is a combination of backstepping technique and integral sliding mode control approach. In addition, an adaptive law is introduced to enhance the robustness of a PWR with disturbances. The asymptotic stability of the overall control system is verified by Lyapunov stability theory. Simulation results are provided to demonstrate that the proposed DOB-ASMC strategy has better power tracking performance than conventional sliding mode controller and PID control method as well as conventional backstepping controller.

A Study on The Adaptive Robust Servocontroller (견실한 서보적응제어기에 관한 연구)

  • 김종원
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.14 no.3
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    • pp.513-525
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    • 1990
  • This paper presents Adaptive Robust Servocontrol(ARSC) scheme, which is an explicit(or indirect) pole-assignment adaptive algorithm with the property of "robustness". It guarantees asymptotic regulation and tracking in the presence of finite parameter perturbations of the unknown plant(or process) model. The controller structure is obtained by transforming a robust control theory into an adaptive control version. This controller structure is combined with the model estimation algorithm which includes a dead-zone for bounded noise. It is proved theoretically that this combination of control and identification is globally convergent and stable. It is also shown, through a real-time simulation study, that the desired closed-loop poles of the augmented system can be assigned directly, and that the adjustment mechanism of the scheme tunes the controller parameters according to the assigned closed-loop poles.oop poles.

Use of beta-P distribution for modeling hydrologic events

  • Murshed, Md. Sharwar;Seo, Yun Am;Park, Jeong-Soo;Lee, Youngsaeng
    • Communications for Statistical Applications and Methods
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    • v.25 no.1
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    • pp.15-27
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    • 2018
  • Parametric method of flood frequency analysis involves fitting of a probability distribution to observed flood data. When record length at a given site is relatively shorter and hard to apply the asymptotic theory, an alternative distribution to the generalized extreme value (GEV) distribution is often used. In this study, we consider the beta-P distribution (BPD) as an alternative to the GEV and other well-known distributions for modeling extreme events of small or moderate samples as well as highly skewed or heavy tailed data. The L-moments ratio diagram shows that special cases of the BPD include the generalized logistic, three-parameter log-normal, and GEV distributions. To estimate the parameters in the distribution, the method of moments, L-moments, and maximum likelihood estimation methods are considered. A Monte-Carlo study is then conducted to compare these three estimation methods. Our result suggests that the L-moments estimator works better than the other estimators for this model of small or moderate samples. Two applications to the annual maximum stream flow of Colorado and the rainfall data from cloud seeding experiments in Southern Florida are reported to show the usefulness of the BPD for modeling hydrologic events. In these examples, BPD turns out to work better than $beta-{\kappa}$, Gumbel, and GEV distributions.

On the resonance problems in FG-GPLRC beams with different boundary conditions resting on elastic foundations

  • Hao-Xuan, Ding;Yi-Wen, Zhang;Gui-Lin, She
    • Computers and Concrete
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    • v.30 no.6
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    • pp.433-443
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    • 2022
  • In the current paper, the nonlinear resonance response of functionally graded graphene platelet reinforced (FG-GPLRC) beams by considering different boundary conditions is investigated using the Euler-Bernoulli beam theory. Four different graphene platelets (GPLs) distributions including UD and FG-O, FG-X, and FG-A are considered and the effective material parameters are calculated by Halpin-Tsai model. The nonlinear vibration equations are derived by Euler-Lagrange principle. Then the perturbation method is used to discretize the motion equations, and the loadings and displacement are all expanded, so as to obtain the first to third order perturbation equations, and then the asymptotic solution of the equations can be obtained. Then the nonlinear amplitude-frequency response is obtained with the help of the modified Lindstedt-Poincare method (Chen and Cheung 1996). Finally, the influences of the distribution types of GPLs, total GPLs layers, GPLs weight fraction, elastic foundations and boundary conditions on the resonance problems are comprehensively studied. Results show that the distribution types of GPLs, total GPLs layers, GPLs weight fraction, elastic foundations and boundary conditions have a significant effect on the nonlinear resonance response of FG-GPLRC beams.

Nonlinear free vibration analysis of functionally graded carbon nanotube reinforced fluid-conveying pipe in thermal environment

  • Xu, Chen;Jing-Lei, Zhao;Gui-Lin, She;Yan, Jing;Hua-Yan, Pu;Jun, Luo
    • Steel and Composite Structures
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    • v.45 no.5
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    • pp.641-652
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    • 2022
  • Fluid-conveying tubes are widely used to transport oil and natural gas in industries. As an advanced composite material, functionally graded carbon nanotube-reinforced composites (FG-CNTRC) have great potential to empower the industry. However, nonlinear free vibration of the FG-CNTRC fluid-conveying pipe has not been attempted in thermal environment. In this paper, the nonlinear free vibration characteristic of functionally graded nanocomposite fluid-conveying pipe reinforced by single-walled carbon nanotubes (SWNTs) in thermal environment is investigated. The SWCNTs gradient distributed in the thickness direction of the pipe forms different reinforcement patterns. The material properties of the FG-CNTRC are estimated by rule of mixture. A higher-order shear deformation theory and Hamilton's variational principle are employed to derive the motion equations incorporating the thermal and fluid effects. A two-step perturbation method is implemented to obtain the closed-form asymptotic solutions for these nonlinear partial differential equations. The nonlinear frequencies under several reinforcement patterns are presented and discussed. We conduct a series of studies aimed at revealing the effects of the flow velocity, the environment temperature, the inner-outer diameter ratio, and the carbon nanotube volume fraction on the nature frequency.

Quasi-static responses of time-dependent sandwich plates with viscoelastic honeycomb cores

  • Nasrin Jafari;Mojtaba Azhari
    • Structural Engineering and Mechanics
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    • v.88 no.6
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    • pp.589-598
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    • 2023
  • This article addresses the quasi-static analysis of time-dependent honeycomb sandwich plates with various geometrical properties based on the bending analysis of elastic honeycomb sandwich plates employing a time function with three unknown coefficients. The novel point of the developed method is that the responses of viscoelastic honeycomb sandwich plates under static transversal loads are clearly formulated in the space and time domains with very low computational costs. The mechanical properties of the sandwich plates are supposed to be elastic for the faces and viscoelastic honeycomb cells for the core. The Boltzmann superposition integral with the constant bulk modulus is used for modeling the viscoelastic material. The shear effect is expressed using the first-order shear deformation theory. The displacement field is predicted by the product of a determinate geometrical function and an indeterminate time function. The simple HP cloud mesh-free method is utilized for discretizing the equations in the space domain. Two coefficients of the time function are extracted by answering the equilibrium equation at two asymptotic times. And the last coefficient is easily determined by solving the first-order linear equation. Numerical results are presented to consider the effects of geometrical properties on the displacement history of viscoelastic honeycomb sandwich plates.