• Title/Summary/Keyword: 수렴성 증명

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Suppression of Coupled Pitch-Roll Motions using Quasi-Sliding Mode Control (준 슬라이딩 모드 제어를 이용한 선박의 종동요 및 횡동요 억제)

  • Lee, Sang-Do;Cuong, Truong Ngoc;Xu, Xiao;You, Sam-Sang
    • Journal of the Korean Society of Marine Environment & Safety
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    • v.27 no.2
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    • pp.211-218
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    • 2021
  • This paper addressed the problems of controlling the coupled pitch-roll motions in a marine vessel exposed to the regular waves in the longitudinal and transversal directions. Stabilization of the pitch and roll motions can be regarded as the essential task to ensure the safety of a ship's navigation. One of the important features in the pitch-roll motions is the resonance phenomena, which result in unexpected large responses in terms of pitch and roll modes in some specific conditions. Besides, owing to its inherent characteristics of coupled combination and nonlinearity of restoring terms, the vessel shows various dynamical behaviors according to the system parameters, especially in the pitch responses. Above all, it can be seen that suppression of pitch rate remains the most significant challenge to overcome for ship maneuvering safety studies. To secure the stable upright condition, a quasi-sliding mode control scheme is employed to reduce the undesirable pitch and roll responses as well as chattering elimination. The Lyapunov theory is adopted to guarantee the closed stability of the pitch-roll system. Numerical simulations demonstrate the effectiveness of the control scheme. Finally, the control goals of state convergences and chattering reduction are effectively realized through the proposed control synthesis.

Applicability of Theoretical Adsorption Models for Studies on Adsorption Properties of Adsorbents(III) (흡착제의 흡착특성 규명을 위한 흡착모델의 적용성 평가(III) - 열역학적 특성을 중심으로)

  • Na, Choon-Ki;Jeong, Jin-Hwa;Park, Hyun-Ju
    • Journal of Korean Society of Environmental Engineers
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    • v.34 no.4
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    • pp.260-269
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    • 2012
  • The aim of this study is to evaluate the applicability of adsorption models for understanding the thermodynamic properties of adsorption process. For this study, the adsorption isotherm data of $NO_3$-N ion onto a commercial anion exchange resin obtained at various experimental conditions, i.e. different initial concentrations of adsorbate, different dosages of adsorbent, and different temperatures, were used in calculating the thermodynamic parameters and the adsorption energy of adsorption process. The Gibbs free energy change (${\Delta}G^0$) of adsorption process could be calculated using the Langmuir constant $b_M$ as well as the Sips constant, even though the results were significantly dependant on the experimental conditions. The thermodynamic parameters such as standard enthalpy change (${\Delta}H^0$), standard entropy change (${\Delta}S^0$) and ${\Delta}G^0$ could be calculated by using the experimental data obtained at different temperatures, if the adsorption data well fitted to the Langmuir isotherm model and the plot of ln b versus 1/T gives a straight line. As an alternative, the empirical equilibrium constant(K) defined as $q_e/C_e$ could be used for evaluating the thermodynamic parameters instead of the Langmuir constant. The results from the applications of D-R model and Temkin model to evaluate the adsorption energy suggest that the D-R model is better than Temkin model for describing the experimental data, and the availability of Temkin model is highly limited by the experimental conditions. Although adsorption energies determined using D-R model show significantly different values depending on the experimental conditions, they were sufficient to show that the adsorption of $NO_3$-N onto anion exchange resin is an endothermic process and an ion-exchange process.

Beauty Food Activities of Isolated Phenolic Compounds from Tetragonia tetragonioides (번행초(Tetragonia tetragonioides)로부터 추출한 Phenolic Compounds의 미용 식품 활성)

  • Jo, Jae-Bum;Lee, Eun-Ho;Cho, Young-Je
    • Journal of the Korean Society of Food Science and Nutrition
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    • v.45 no.3
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    • pp.333-341
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    • 2016
  • This study examined the beauty food activities of water and ethanol extracts from Tetragonia tetragonioides. Content of phenolic compounds extracted with water and 50% ethanol extracts were 3.29 mg/g and 4.14 mg/g, respectively. 1,1-Diphenyl-2-picrylhydrazyl free radical scavenging activities of water and ethanol extracts were 98.45% and 91.20%, respectively, at $200{\mu}g/mL$ of phenolics. 2,2'-Azinobis-(3-ethylbenzothiazoline-6-sulfonic acid) radical decolorization activity was 97.28% for water extracts and 97.83% for ethanol extracts at $100{\mu}g/mL$ of phenolics. Antioxidant protection factor (PF) was 1.77 PF for water and ethanol extracts at $200{\mu}g/mL$ of phenolics. Thiobarbituric acid reactive substances of water and ethanol extracts were 94.77% and 95.64%, respectively, at $100{\mu}g/mL$ of phenolics. Tyrosinase inhibitory activity, which is related to skin-whitening, was confirmed to be 34.96% for ethanol extracts at $200{\mu}g/mL$ of phenolics. Elastase inhibitory activity and anti-wrinkle effect of 50% ethanol extracts were 78.9% at $200{\mu}g/mL$ of phenolics. Collagenase inhibitory activity of ethanol extracts was 61.29% at $200{\mu}g/mL$ of phenolics. Astringent effect was not detected in water extracts but was 7.82% for 50% ethanol extracts at $200{\mu}g/mL$ of phenolics. Hyaluronidase inhibitory activity as a measure of anti-inflammation was confirmed to be 81.04% for water extracts at $200{\mu}g/mL$ of phenolics. Based on these results, Tetragonia tetragonioides extracts can be used as a functional material and functional beauty food with antioxidant effects.

Evaluating Reverse Logistics Networks with Centralized Centers : Hybrid Genetic Algorithm Approach (집중형센터를 가진 역물류네트워크 평가 : 혼합형 유전알고리즘 접근법)

  • Yun, YoungSu
    • Journal of Intelligence and Information Systems
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    • v.19 no.4
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    • pp.55-79
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    • 2013
  • In this paper, we propose a hybrid genetic algorithm (HGA) approach to effectively solve the reverse logistics network with centralized centers (RLNCC). For the proposed HGA approach, genetic algorithm (GA) is used as a main algorithm. For implementing GA, a new bit-string representation scheme using 0 and 1 values is suggested, which can easily make initial population of GA. As genetic operators, the elitist strategy in enlarged sampling space developed by Gen and Chang (1997), a new two-point crossover operator, and a new random mutation operator are used for selection, crossover and mutation, respectively. For hybrid concept of GA, an iterative hill climbing method (IHCM) developed by Michalewicz (1994) is inserted into HGA search loop. The IHCM is one of local search techniques and precisely explores the space converged by GA search. The RLNCC is composed of collection centers, remanufacturing centers, redistribution centers, and secondary markets in reverse logistics networks. Of the centers and secondary markets, only one collection center, remanufacturing center, redistribution center, and secondary market should be opened in reverse logistics networks. Some assumptions are considered for effectively implementing the RLNCC The RLNCC is represented by a mixed integer programming (MIP) model using indexes, parameters and decision variables. The objective function of the MIP model is to minimize the total cost which is consisted of transportation cost, fixed cost, and handling cost. The transportation cost is obtained by transporting the returned products between each centers and secondary markets. The fixed cost is calculated by opening or closing decision at each center and secondary markets. That is, if there are three collection centers (the opening costs of collection center 1 2, and 3 are 10.5, 12.1, 8.9, respectively), and the collection center 1 is opened and the remainders are all closed, then the fixed cost is 10.5. The handling cost means the cost of treating the products returned from customers at each center and secondary markets which are opened at each RLNCC stage. The RLNCC is solved by the proposed HGA approach. In numerical experiment, the proposed HGA and a conventional competing approach is compared with each other using various measures of performance. For the conventional competing approach, the GA approach by Yun (2013) is used. The GA approach has not any local search technique such as the IHCM proposed the HGA approach. As measures of performance, CPU time, optimal solution, and optimal setting are used. Two types of the RLNCC with different numbers of customers, collection centers, remanufacturing centers, redistribution centers and secondary markets are presented for comparing the performances of the HGA and GA approaches. The MIP models using the two types of the RLNCC are programmed by Visual Basic Version 6.0, and the computer implementing environment is the IBM compatible PC with 3.06Ghz CPU speed and 1GB RAM on Windows XP. The parameters used in the HGA and GA approaches are that the total number of generations is 10,000, population size 20, crossover rate 0.5, mutation rate 0.1, and the search range for the IHCM is 2.0. Total 20 iterations are made for eliminating the randomness of the searches of the HGA and GA approaches. With performance comparisons, network representations by opening/closing decision, and convergence processes using two types of the RLNCCs, the experimental result shows that the HGA has significantly better performance in terms of the optimal solution than the GA, though the GA is slightly quicker than the HGA in terms of the CPU time. Finally, it has been proved that the proposed HGA approach is more efficient than conventional GA approach in two types of the RLNCC since the former has a GA search process as well as a local search process for additional search scheme, while the latter has a GA search process alone. For a future study, much more large-sized RLNCCs will be tested for robustness of our approach.