• Title/Summary/Keyword: Control derivative

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Optimal Algorithm from Object Function to Simultaneous Equations by Direct Derivative (목적 함수의 연립 방정식화를 위한 직접 도함수 산출에 의한 최적치 계산법)

  • 김주홍;엄기환
    • Journal of the Korea Institute of Information and Communication Engineering
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    • v.4 no.1
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    • pp.155-163
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    • 2000
  • In this paper, we propose an algorithm for the object function used in optimal control or optimal design that sets the object function as simultaneous and then calculates the optimal value according to the Newton method. The proposed method calculates the optimal value simply using two inputs; object function and initial value, using the DDA(Direct Derivative Algorithm) which is a programmed ordinary derivative function that does not inquire the calculation of derivative function nor any inputs. And we have verified the usefulness of the algorithm for the optimal control and optimal dosing.

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IMPLICIT-EXPLICIT SECOND DERIVATIVE LMM FOR STIFF ORDINARY DIFFERENTIAL EQUATIONS

  • OGUNFEYITIMI, S.E.;IKHILE, M.N.O.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.25 no.4
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    • pp.224-261
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    • 2021
  • The interest in implicit-explicit (IMEX) integration methods has emerged as an alternative for dealing in a computationally cost-effective way with stiff ordinary differential equations arising from practical modeling problems. In this paper, we introduce implicit-explicit second derivative linear multi-step methods (IMEX SDLMM) with error control. The proposed IMEX SDLMM is based on second derivative backward differentiation formulas (SDBDF) and recursive SDBDF. The IMEX second derivative schemes are constructed with order p ranging from p = 1 to 8. The methods are numerically validated on well-known stiff equations.

Effects of Juakium-derivative on Experimental Aplastic Anemia (좌귀음가미방이 실험적 재생불량성빈혈에 미치는 영향)

  • 박신명;김영철;이장훈;우흥정
    • The Journal of Korean Medicine
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    • v.23 no.1
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    • pp.133-144
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    • 2002
  • Objectives : Korean traditional medicinal herbs have been used to improve the function of the hematopoietic system. The purpose of this study is to examine the hematopoietic effects of Juakium-derivative on aplastic anemia. Methods : In vitro, after bone marrow cells of mice with aplastic anemia induced by benzene were cultured with Juakium-derivative, we measured the gene expressions of hematopoietic cytokines, the intracellular TPO and SCF expression and the colony number of CFU-GEMM and BFU-E. Results : The results are summarized as follows : 1. The gene expressions of hematopoietic cytokines (TPO, c-mpl, SCF, c-kit, IL-3, EPO, EpoR, GM-CSF) and the TPO and SCF expression of the group treated with Juakium-derivative increased significantly more than those of the control group. 2. The colony number of CFU-GEMM and BFU-E in the rEPO plus rIL-3 plus Juakium-derivative group increased significantly compared with the only rEPO plus rIL-3 group. Conclusion : It was acknowledged that Juakium-derivative has hemato-potentiating effects on aplastic anemia induced by benzene and it is expected that Juakium-derivative can be used clinically for the patient with hematopoietic system disorder. This study could also be used further as important research data for Korean oriental medicine about hemato-potentiating. The exact mechanism explaining our study would need to be studied further.

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A Study on the Generation of Initial Turbulent Velocity Field with Non-zero Velocity Derivative Skewness (속도미분비대칭도를 고려한 초기난류 속도장 생성방법 연구)

  • Koh Bum-Yong;Park Seung-O
    • Proceedings of the KSME Conference
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    • 2002.08a
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    • pp.819-822
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    • 2002
  • It is necessary for the numerical simulation of 3-dimensional incompressible isotropic decaying turbulence to construct 3-dimensional initial velocity field which resembles the fully developed turbulence. Although the previous velocity field generation method proposed by Rogallo(1981) satisfies continuity equation and 3-dimensional energy spectrum, it has limitation, as indicated in his paper, that it does not produce the higher velocity moments(e. g. velocity derivative skewness) characteristic of real turbulence. In this study, a new velocity field generation method which is able to control velocity derivative skewness of initial velocity field is proposed. Brief descriptions of the new method and a few parameters which is used to control velocity derivative skewness are given. A large eddy simulation(LES) of isotropic decaying turbulence using dynamic subgrid-scale model is carried out to evaluate the performance of the initial velocity field generated by the new method. It was shown that the resolved turbulent kinetic energy decay curve and the resolved enstrophy decay curve from the initial field of new method were more realistic than those from the initial field of Rogallo's method. It was found that the dynamic model coefficient from the former was initially half the stationary value and experienced relatively short transition period, though that from the latter was initially zero and experienced relatively longer transition period.

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The effects of enamel matrix derivative on the healing of 1-wall intrabony defects in beagle dogs (성견의 1면 골결손부에서 법랑기질 유도체가 치주조직 치유에 미치는 영향)

  • Oh, Je-Ik;Choi, Seong-Ho;Lee, Seung-Won;Cho, Kyoo-Sung;Kim, Chong-Kwan;Chai, Jung-Kiu
    • Journal of Periodontal and Implant Science
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    • v.27 no.4
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    • pp.767-783
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    • 1997
  • Guided tissue regeneration, bone graft procedures, and application of growth factors have been used to regenerate lost periodontal tissues. Recently, enamel matrix derivative has been introduced into periodontal regeneration procedures in expectation of promoting new bone and cementum formation. The purpose' of this study was to evaluate the effect of enamel matrix derivative in 1-wall intrabony defects in beagle dogs. For this purpose, each dog was anesthesized using intravenous anesthesia and mandibular 1st, 3rd premolars were extracted. 2 months later, the 1-wall intrabony defects(mesio-distal width: 4mm, depth: 4mm) were created on the distal side of 2nd premolars and mesial side of 4th premolars. The control group was treated with debridement alone, and experimental group was treated with debridement and enamel matrix derivative application. The healing processes were histologically and histometrically observed after 8 weeks and the results were as follows : 1. The length of junctional epithelium was $0.94{\pm}0.80mm$ in the control group, $0.57{\pm}0.42mm$ in the experimental group, with no statistically significant difference between groups. 2. The connective tissue attachment was $1.36{\pm}0.98mm$ in the control group. $0.38{\pm}0.43mm$ in the experimental group, with statistically significant difference between groups(P<0.05). 3. The new cementum formation was $2.49{\pm}1.06mm$ in the control group, $3.59{\pm}0.74mm$ in the experimental group. with statistically significant difference between groups(P<0.05). 4. The new bone formation was $1.92{\pm}0.97mm$ in the control group, $2.32{\pm}0.59mm$ in the experimental group. with no statistically significant difference between groups. Within the limitation to this study protocol, enamel matrix derivative application in 1-wall intrabony defect enhanced new cementum formation. Although there was no statistically significant difference, enamel matrix derivative also seems to be effective in inhibition of apical migration of junctional epithelium and new bone formation.

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Calculating Dynamic Derivatives of Flight Vehicle with New Engineering Strategies

  • Mi, Baigang;Zhan, Hao;Chen, Baibing
    • International Journal of Aeronautical and Space Sciences
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    • v.18 no.2
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    • pp.175-185
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    • 2017
  • This paper presents new differential methods for computing the combined and single dynamic stability derivatives of flight vehicle. Based on rigid dynamic mesh technique, the combined dynamic stability derivative can be achieved by imposing the aircraft pitching to the same angle of attack with two different pitching angular velocities and also translating it to the same additional angle of attack with two different rates of angle of attack. As a result, the acceleration derivative is identified. Moreover, the rotating reference frame is adopted to calculate the rotary derivatives when simulating the steady pull-up with different pitching angular velocities. Two configurations, the Hyper Ballistic Shape (HBS) and Finner missile model, are considered as evaluations and results of all the cases agree well with reference or experiment data. Compared to traditional ones, the new differential methods are of high efficiency and accuracy, and potential to be extended to the simulation of combined and single stability derivatives of directional and lateral.

Parameter Estimation of Recurrent Neural Equalizers Using the Derivative-Free Kalman Filter

  • Kwon, Oh-Shin
    • Journal of information and communication convergence engineering
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    • v.8 no.3
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    • pp.267-272
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    • 2010
  • For the last decade, recurrent neural networks (RNNs) have been commonly applied to communications channel equalization. The major problems of gradient-based learning techniques, employed to train recurrent neural networks are slow convergence rates and long training sequences. In high-speed communications system, short training symbols and fast convergence speed are essentially required. In this paper, the derivative-free Kalman filter, so called the unscented Kalman filter (UKF), for training a fully connected RNN is presented in a state-space formulation of the system. The main features of the proposed recurrent neural equalizer are fast convergence speed and good performance using relatively short training symbols without the derivative computation. Through experiments of nonlinear channel equalization, the performance of the RNN with a derivative-free Kalman filter is evaluated.

Effect of Enamel Matrix Derivative on Guided Bone Regeneration with Intramarrow Penetration (골수내천공을 동반한 골유도재생술시 법랑기질유도체의 효과)

  • Lee, Young-Jong;Park, Joon-Bong;Kwon, Young-Hyuk;Herr, Yeek;Cho, Kyoo-Sung
    • Journal of Periodontal and Implant Science
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    • v.34 no.2
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    • pp.393-410
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    • 2004
  • The purpose of this study was to investigate effect of enamel matrix derivative on guided bone regeneration with intramarrow penetration in rabbits. Eight adult male rabbits (mean BW 2Kg) were used in this study. Intramarrow penetration defects were surgically created with round carbide bur(HP long #6) on calvaria of rabbits. Defects were assigned to the control group grafted with mixture of the same quantity of demineralized freeze-dried bone allograft and deproteinized bovine bone mineral. Then, guided bone regeneration was carried out using resorbable membrane and suture. Enamel matrix derivative applied to defects was assigned to the test group. And treated as same manners as the control group. At 1, 2, 3 and 8 weeks after the surgery, animals were sacrificed, specimens were obtained and stained with Hematoxylin-Eosin for light microscopic evaluation. The results of this study were as follows : 1. At 1, 2 and 3 weeks, no differences were observed between the control group and the test group in the aspect of bone formation around bone graft. 2. Proliferation of blood capillary was faster in the test group than in the control group. 3. Bone regeneration in intramarrow penetration was faster in the test group than in the control group. 4. At 8 weeks, new osteoid tissue formation around bone graft was more prominent in the test group than in the control group. From the above results, enamel matrix derivative might be considered as the osteopromotion material and effective in the guided bone regeneration with intramarrow penetration.

A fuzzy controller based on incomplete differential ahead PID algorithm for a remotely operated vehicle

  • Cao, Junliang;Yin, Hanjun;Liu, Chunhu;Lian, Lian
    • Ocean Systems Engineering
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    • v.3 no.3
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    • pp.237-255
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    • 2013
  • In many applications, Remotely Operated Vehicles (ROVs) are required to be capable of course keeping, depth keeping, and height keeping. The ROV must be able to resist time-variant external forces and moments or frequent manipulate changes in some specified circumstances, which require the control system meets high precision, fast response, and good robustness. This study introduces a Fuzzy-Incomplete Derivative Ahead-PID (FIDA-PID) control system for a 500-meter ROV with four degrees of freedom (DOFs) to achieve course, depth, and height keeping. In the FIDA-PID control system, a Fuzzy Gain Scheduling Controller (FGSC) is designed on the basis of the incomplete derivative ahead PID control system to make the controller suitable for various situations. The parameters in the fuzzy scheme are optimized via many cycles of trial-and-error in a 10-meter-deep water tank. Significant improvements have been observed through simulation and experimental results within 4-DOFs.

Effect of feedback on PID controlled active structures under earthquake excitations

  • Nigdeli, Sinan Melih
    • Earthquakes and Structures
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    • v.6 no.2
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    • pp.217-235
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    • 2014
  • In this paper, different feedback control strategies are presented for active seismic control using proportional-integral-derivative (PID) type controllers. The parameters of PID controller are found by using an numerical algorithm considering time delay, maximum allowed control force and time domain analyses of shear buildings under different earthquake excitations. The numerical algorithm scans combinations of different controller parameters such as proportional gain ($K_p$), integral time ($T_i$) and derivative time ($T_d$) in order to minimize a defined response of the structure. The controllers for displacement, velocity and acceleration feedback control strategies are tuned for structures with active control at the first story and all stories. The performance and robustness of different feedback controls on time and frequency responses of structures are evaluated. All feedback controls are generally robust for the changing properties of the structure, but acceleration feedback control is the best one for efficiency and stability of control system.