• Title/Summary/Keyword: linear quadratic control

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Effects of Inclusion Levels of Dietary Vitamins and Trace Minerals on Growth Performance and Nutrient Digestibility in Growing Pigs

  • Chae, B.J.;Choi, S.C.;Cho, W.T.;Han, In K.;Sohn, K.S.
    • Asian-Australasian Journal of Animal Sciences
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    • v.13 no.10
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    • pp.1440-1444
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    • 2000
  • Two feeding trials were conducted to evaluate the effects of inclusion levels of dietary vitamin and trace mineral (VTM) premixes on growth and nutrient digestibility in growing pigs. A total of 112 pigs ($24.82{\pm}3.22kg$) were employed for 49 days (exp. 1), and 168 pigs ($21.64{\pm}1.41kg$) for 40 days (exp. 2) in completely randomized block designs. Treatments were: 1) 100%, 2) 150%, 3) 200% and 4) 250% NRC (1998) requirement of VTM in exp. 1, and the ratio of vitamins to trace minerals at 1) 100:100%, 2) 100:150%, 3) 150:100% and 4) 150:150% of NRC (1998) requirement in exp. 2. Basal diets for feeding trials were formulated to contain 3,310 kcal ME/kg and 18% crude protein, and contained 0.25% chromic oxide as an indigestible marker for digestibility trials. Increasing dietary VTM premix in growing pigs had linear and quadratic effects (p<0.05) on ADG, and feed conversion ratio was also improved (p<0.05) as VTM premix was increased by 150-250% of NRC (1998) requirements in exp. 1. Adding vitamin to trace mineral premixes at 150% NRC (1998) over the control improved (p<0.05) ADG and feed efficiency in growing pigs, but performances were not improved by vitamin nor by trace mineral premixes alone (p>0.15) (exp. 2). There were no differences (p>0.05) in the digestibilities of energy, crude protein and fat among dietary treatments. However, increasing dietary VTM premix in growing pigs had a linear effect (p<0.05) on the digestibilities of calcium and phosphorus. The 200 or 250% fed group showed improved (p<0.05) calcium digestibility, and 250% fed group also showed improved (p<0.05) phosphorus digestibility as compared to 100% or 150% fed group (exp. 1). The digestibilities of Ca and P were higher (p<0.05) in 150% addition of vitamins than in 150% addition of trace minerals in the diet (exp. 2).

Effects of a pineapple (Ananas comosus L.) cannery by-product on growth performance and carcass characteristics in finishing Hanwoo steers

  • Choi, Yongjun;Lee, Sangrak;Na, Youngjun
    • Animal Bioscience
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    • v.34 no.2
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    • pp.233-242
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    • 2021
  • Objective: The aim of this study was to determine the effect of pineapple cannery by-product (PCB) level on the growth performance and carcass characteristics of finishing Hanwoo steers. Methods: The feeding stage was divided into early and late finishing stages. A total of 60 castrated Hanwoo steers (13.9±0.8 months old, 418.8±36.5 kg initial body weight [BW]) were blocked by initial BW and then randomly allotted into 12 pens (five head/pen). The pens were randomly assigned to control (CONT), low PCB (LPCB), or high PCB (HPCB) treatments. These diets contained 0%, 1.5%, or 3.0% of PCB (on a dry matter [DM] basis; as-fed basis was 0%, 10.6%, or 21.2%), respectively. Results: For the early finishing stage, body weight gain (BWG) and average daily gain (ADG) of the CONT and LPCB feeding groups were greater (p<0.05) than those of the HPCB feeding group. In addition, there were linear and quadratic effects on BWG and ADG with increasing dietary PCB level (p<0.05). The gain to feed (G:F) ratio tends to quadratically decrease with an increasing PCB level in the early finishing stage (p = 0.076). Growth performances of late finishing stage were not affected by PCB level. The marbling score of the LPCB feeding group was similar to that of the CONT feeding group. However, there was a linear decrease (p< 0.05) in marbling score and quality grade among treatments as PCB was increased in the diet. In the longissimus muscle free amino acid profile, histidine composition increased linearly (p<0.05) with an increasing level of PCB. Conclusion: The level of PCB 1.5% DM in diet can be used for finishing steers without any adverse effects on growth and carcass performances. However, there were some negative effects on growth and carcass performance in the HPCB feeding group.

Effects of Lacquer (Rhus verniciflua) Meal Supplementation on Layer Performance

  • Yang, Y.X.;Lohakare, J.D.;Chae, B.J.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.1
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    • pp.82-88
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    • 2007
  • Two experiments were conducted to see the effects of lacquer meal (Rhus verniciflua) on layer performance. In Exp. 1, seventy-two Hy-Line brown layers, 46 wk of age were fed 0, 1.5% and 3.0% lacquer added diets for 6 weeks. Diets contained 2,650 kcal/kg ME and 16.50% CP. In Exp. 2, high-energy diets were fed to 72 Hy-line brown layers of 46 wk age for 6 wk. The diets were: control (3,000 kcal/kg ME and 16.50% CP); T1 and T2 contained 1.5 and 3.0% lacquer respectively, in addition to high energy levels. Each treatment had four replicates with 6 birds each in both the experiments. During Exp.1, there was no effect on average daily feed intake, egg production and feed efficiency, however, egg weight was linearly (p=0.0128) decreased with the addition of lacquer in diets. The egg quality parameters measured at bi-weekly intervals did not reveal any particular trend. In Exp 2., high-energy diets have decreased the feed intake and egg production in all groups. However, feeding lacquer at 1.5% increased the egg production by 9% than control. The yolk fat content was increased due to treatments showing quadratic trend (p=0.0683). The liver fat content was decreased by 40-43% than control in lacquer added diets. Except palmitic, oleic and arachidonic acids, some yolk fatty acids showed a linear decreasing trend in lacquer diets. The serum triglycerides and total cholesterol levels were not influenced with lacquer in the diets; however, the serum glucose level was linearly decreased with the addition of lacquer. In conclusion, lacquer meal supplementation significantly affected the performance of layers fed high-energy diets.

Aeromechanical stability analysis and control of helicopter rotor blades (헬리콥터 회전날개깃의 안정성 해석과 제어)

  • Kim, J.S.;Chattopadhyay, Aditi
    • Journal of the Korean Society for Aviation and Aeronautics
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    • v.9 no.1
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    • pp.59-69
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    • 2001
  • The rotor blade is modeled using a composite box beam with arbitrary wall. The active constrained damping layers are bonded to the upper and lower surfaces of the box beam to provide active and passive damping. A finite element model, based on a hybrid displacement theory, is used in the structural analysis. The theory is capable of accurately capturing the transverse shear effects in the composite primary structure, the viscoelastic and the piezoelectric layers within the ACLs. A reduced order model is derived based on the Hankel singular value. A linear quadratic Gaussian (LQG) controller is designed based on the reduced order model and the available measurement output. However, the LQG control system fails to stabilize the perturbed system although it shows good control performance at the nominal operating condition. To improve the robust stability of LQG controller, the loop transfer recovery (LTR) method is applied. Numerical results show that the proposed controller significantly improves rotor aeromechanical stability and suppresses rotor response over large variations in rotating speed by increasing lead-lag modal damping in the coupled rotor-body system.

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Radiobiological Evaluation in Korean Native Goat Bred in the Nuclear Power Plant (원자력발전소 사육 재래산양의 방사선 생물학적 평가)

  • Kim, Se-Ra;Kim, Tae-Hwan;Lee, Hae-Jun;Oh, Heon;Cho, Sung-Ki;Oh, Ki-Seok;Park, In-Chul;Son, Chang-Ho;Kim, Sung-Ho
    • Journal of Veterinary Clinics
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    • v.20 no.3
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    • pp.317-322
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    • 2003
  • Cytogenetic and hematological analysis was performed in peripheral blood from the Korean native goat bred in the nuclear power plant (Wolsong and Uljin) and control area. The frequency of micronuclei (MN) in peripheral blood lymphocytes from goat was used as a biomarker of radiobiological effects resulting from exposure to environmental radiation. An estimated dose of radiation was calculated by best fitting linear-quadratic model based on the radiation-induced MN data over the range from 0 to 4 Gy from the goat lymphocytes with in vitro irradiation. MN rates in goats from the Wolsong and Uljin nuclear power plant, and control area were 9.60/1000, 6.83/1000 and 9.88/1000, respectively. There were no significant differences in MN frequencies and hematological values in goats between nuclear power plant and control area. High level of platelet in the goat from Uljin nuclear power plant was observed, which seemed to be related to the goat management.

Effects of Dietary Octacosanol on Growth Performance, Carcass Characteristics and Meat Quality of Broiler Chicks

  • Long, L.;Wu, S.G.;Yuan, F.;Wang, J.;Zhang, H.J.;Qi, G.H.
    • Asian-Australasian Journal of Animal Sciences
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    • v.29 no.10
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    • pp.1470-1476
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    • 2016
  • Octacosanol, which has prominent physiological activities and functions, has been recognized as a potential growth promoter in animals. A total of 392 1-d-old male Arbor Acres broiler chicks with similar body weight were randomly distributed into four dietary groups of seven replicates with 14 birds each supplemented with 0, 12, 24, or 36 mg octacosanol (extracted from rice bran, purity >92%)/kg feed. The feeding trial lasted for six weeks and was divided into the starter (day 1 to 21) and the grower (day 22 to 42) phases. The results showed that the feed conversion ratio (FCR) was significantly improved in broilers fed a diet containing 24 mg/kg octacosanol compared with those fed the control diet in the overall phase (day 1 to 42, p = 0.042). The average daily gain and FCR both showed linear effects in response to dietary supplementation of octacosanol during the overall phase (p = 0.031 and 0.018, respectively). Broilers fed with 24 or 36 mg/kg octacosanol diet showed a higher eviscerated yield, which increased by 5.88% and 4.26% respectively, than those fed the control diet (p = 0.030). The breast muscle yield of broilers fed with 24 mg/kg octacosanol diet increased significantly by 12.15% compared with those fed the control diet (p = 0.047). Eviscerated and breast muscle yield increased linearly with the increase in dietary octacosanol supplementation (p = 0.013 and 0.021, respectively). Broilers fed with 24 or 36 mg/kg octacosanol diet had a greater (p = 0.021) $pH_{45min}$ value in the breast muscle, which was maintained linearly in response to dietary octacosanol supplementation (p = 0.003). There was a significant decrease (p = 0.007) in drip loss value between the octacosanol-added and the control groups. The drip loss showed linear (p = 0.004) and quadratic (p = 0.041) responses with dietary supplementation of octacosanol. These studies indicate that octacosanol is a potentially effective and safe feed additive which may improve feed efficiency and meat quality, and increase eviscerated and breast muscle yield, in broiler chicks. Dietary supplementation of octacosanol at 24 mg/kg diet is regarded as the recommended dosage in the broilers' diet.

Characterization of Symptom and Determination of Tissue Critical Concentration for Diagnostic Criteria in 'Maehyang' Strawberry (Fragaria$\times$ananassa Duch.) as Influenced by Magnesium Concentrations in the Fertigation Solution ('매향' 딸기의 마그네슘 영양진단을 위한 결핍증상 및 식물체 내 한계농도)

  • Choi, Jong-Myung;Jeong, Suck-Kee;Yoon, Moo-Kyung
    • Journal of Bio-Environment Control
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    • v.17 no.3
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    • pp.238-245
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    • 2008
  • This study was carried out to investigate the effect of magnesium (Mg) concentrations in nutrient solution on growth of and nutrient uptake by 'Maehyang' strawberry. Tissue analysis based on dry weight and petiole sap were also conducted to determine the threshold level in plants when Mg deficiency disorders developed in strawberry plants. In the Mg deficient plants, the spotted yellowing or yellowing area developed on the interveinal area of mature leaves. The dark brown color also developed on the interveinal area of mature leaves with marginal browning or marginal necrosis. The response in dry weight production of 'Maehyang' strawberry to elevated Mg concentrations in nutrient solution was quadratic and the equation is y=6.84+1.7533x-$0.9278x^2$ $(R^2=0.1081^{***})$. But the Mg contents in tissue increased lineally with the equation of y=0.1764+0.1275x $(R^2=0.8307^{***})$. The trends of fresh weight production and Mg concentrations in petiole sap were also quadratic (y=24.127+7.3565x-$1.125x^2$, $R^2=0.2314^{^***}$) and linear (11.954+5.793x, $R^2=0.6869^{***}$), respectively. To prevent growth suppression, the Mg concentrations based on dry weight of above ground tissue and in petiole sap should be in the range of 0.30 to 0.65% and 19 to $40mg{\cdot}kg^{-1}$, respectively, fer the commercial production of 'Maehyang' strawberry.

A Study on Teaching the Method of Lagrange Multipliers in the Era of Digital Transformation (라그랑주 승수법의 교수·학습에 대한 소고: 라그랑주 승수법을 활용한 주성분 분석 사례)

  • Lee, Sang-Gu;Nam, Yun;Lee, Jae Hwa
    • Communications of Mathematical Education
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    • v.37 no.1
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    • pp.65-84
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    • 2023
  • The method of Lagrange multipliers, one of the most fundamental algorithms for solving equality constrained optimization problems, has been widely used in basic mathematics for artificial intelligence (AI), linear algebra, optimization theory, and control theory. This method is an important tool that connects calculus and linear algebra. It is actively used in artificial intelligence algorithms including principal component analysis (PCA). Therefore, it is desired that instructors motivate students who first encounter this method in college calculus. In this paper, we provide an integrated perspective for instructors to teach the method of Lagrange multipliers effectively. First, we provide visualization materials and Python-based code, helping to understand the principle of this method. Second, we give a full explanation on the relation between Lagrange multiplier and eigenvalues of a matrix. Third, we give the proof of the first-order optimality condition, which is a fundamental of the method of Lagrange multipliers, and briefly introduce the generalized version of it in optimization. Finally, we give an example of PCA analysis on a real data. These materials can be utilized in class for teaching of the method of Lagrange multipliers.

A Study on Prevention of Secondary Collision considering Failure of Brake Actuator (제동 액츄에이터 손상을 고려한 2차 충돌 예방에 관한 연구)

  • Yang, Heecheol;Kim, Dooyong;Kang, Taewan;Soh, Minwoo;Kwon, Jaejoon;Park, Kihong
    • Transactions of the Korean Society of Automotive Engineers
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    • v.23 no.5
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    • pp.553-563
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    • 2015
  • Reportedly the fatality rate from secondary collision is six times higher than the average fatality rate from all traffic accidents. So prevention of the secondary collision is attracting significant attention from automotive industries. However, the secondary collision prevention systems that have been developed are not considering possibility of brake actuator failure that can occur by the impact during the initial collision. In this paper, a new system has been developed that could prevent secondary collision even in case of brake actuator failure by taking advantage of still operating actuators. In this system, a steering control is performed for maintaining a lane by using linear quadratic regulator. Additionally, the system attempts differential brake control with the remaining braking capability to stop the vehicle in the shortest distance. Through simulation in various collision scenarios, the system has demonstrated significant potential of preventing secondary collision that could otherwise have resulted in severe fatality.

Effect of Supplemental Chromium Levels on Performance, Digestibility and Carcass Characteristics of Transport-stressed Lambs

  • Kraidees, M.S.;Al-Haidary, I.A.;Mufarrej, S.I.;Al-Saiady, M.Y.;Metwally, H.M.;Hussein, M.F.
    • Asian-Australasian Journal of Animal Sciences
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    • v.22 no.8
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    • pp.1124-1132
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    • 2009
  • A trial was conducted to study the effect of supplemental chromium (Cr) levels from a Cr-yeast source on performance, digestibility and carcass characteristics of transport-stressed lambs. Forty-eight Naemi lambs (avg. BW 31.7 kg) were transported by truck for a distance of 1,450 km. On arrival day, the lambs were randomly allocated to four groups receiving diets supplemented with 0.0, 0.3, 0.6 or 0.9 ppm Cr. Each group consisted of four separately housed replicates of three lambs each. The lambs were fed their respective diets ad libitum for 84 d (21 d stress period, followed by 63 d growing period). Road transit of lambs resulted in a decreased (p<0.001) live body weight of 8.5%. Supplementation of Cr-yeast did not alter the performance of lambs during the stress period. Linear and quadratic increases (p<0.05) were observed in DMI and ADG, respectively, with increasing supplemental Cr levels in the diets during the growing period. Values were greater (p<0.05) by 14.7% and 20.8%, respectively, for lambs fed 0.3 ppm Cr compared to control, while those fed on the other two levels were intermediate. Over the 84-d feeding period, a trend was noted towards a slight increase in loin eye area and a decrease in body wall fat thickness for lambs fed Cr supplementation compared to the control group. This study suggests that the supplementation of Cr-yeast, especially at 0.3 ppm level, is beneficial for improving the performance of growing lambs whether the animals are stressed or not.