• Title/Summary/Keyword: Integral Absolute Value

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Auto - tuning of PID Controllers with IMC Structure (IMC 구조를 갖는 PID 제어기의 자동 동조)

  • Cho, Joon-Ho;Hwang, Hyung-Soo
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.46 no.3
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    • pp.8-14
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    • 2009
  • In this paper, it is proposed that the design of the PID controller with the internal model control structure for improved performance. Internal model was identification that is second-order plus dead time structure using final-value theorem and genetic algorithm The parameters of Controller are determined to minimize IAE(Integral of the Absolute value of the Error) and ITAE(Integral of the Time multiplied by the Absolute value of the Error) of performance index by internal model and numerical method. Simulation examples are given to show the better performance of the proposed method than conventional methods.

ON IMPROVEMENTS OF SOME INTEGRAL INEQUALITIES

  • Kadakal, Mahir;Iscan, Imdat;Kadakal, Huriye;Bekar, Kerim
    • Honam Mathematical Journal
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    • v.43 no.3
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    • pp.441-452
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    • 2021
  • In this paper, improved power-mean integral inequality, which provides a better approach than power-mean integral inequality, is proved. Using Hölder-İşcan integral inequality and improved power-mean integral inequality, some inequalities of Hadamard's type for functions whose derivatives in absolute value at certain power are quasi-convex are given. In addition, the results obtained are compared with the previous ones. Then, it is shown that the results obtained together with identity are better than those previously obtained.

Gesture recognition with wearable device based on deep learning (딥러닝 기반의 웨어러블 디바이스에서의 제스처 인식)

  • Byeon, Seong-U;Lee, Seok-Pil;Kim, Geon-Nyeon;Han, Sang-Hyeon
    • Broadcasting and Media Magazine
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    • v.22 no.1
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    • pp.10-18
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    • 2017
  • 본 연구는 비접촉식 센서 기반의 웨어러블 디바이스를 이용한 딥러닝 기반의 제스처 인식에 대한 연구이다. 이를 위하여 Flexible MSG 센서를 기반으로 한 Flexible Epidermal Tactile Sensor를 사용하였으며, Flexible Epidermal Tactile Sensor는 손, 손가락 제스처를 취했을 때 손목, 손가락과 연결되어 있는 근육들의 움직임에 따라 발생하는 피부 표면의 전극을 취득하는 센서이다. 실험을 위하여 7가지 손, 손가락 제스처를 정의하였으며, 손목의 꺾임, 손목의 뒤틀림, 손가락의 오므림과 펴짐, 아무 동작도 취하지 않은 기본 상태에 대한 제스처로 정의하였다. 실험 데이터 수집에는 손목이나 손가락에 부상, 장애등이 없는 일반적인 8명의 참가자가 참가하였으며 각각 한 제스처에 대하여 20번씩 반복하여 1120개의 샘플을 수집하였다. 입력신호에 대한 제스처를 학습하기 위해 본 논문에서는 1차원 Convolutional Neural Network를 제안하였으며, 성능 비교를 위해 신호의 크기를 반영하는 특징벡터인 Integral Absolute Value와 Difference Absolute Mean Value를 입력신호에서 추출하고 Support Vector Machine을 사용하여 본 논문에서 제안한 1차원 CNN과 성능비교를 하였다. 그 결과 본 논문에서 제안한 1차원 CNN의 분류 정확도가 우수한 성능을 나타냈다.

Design of Advanced Multi-loop PI Controller for Multi-delay Processes (다중 시간지연 공정을 위한 개선된 다중루프 PI 제어기 설계)

  • Vu, Truong Nguyen Luan;Lee, Moon-Yong
    • Journal of Institute of Control, Robotics and Systems
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    • v.16 no.1
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    • pp.77-82
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    • 2010
  • An analytical method for robust design of the multi-loop proportional-integral (PI) controller is proposed for various types of multi-delay processes. On the basis of the direct synthesis and generalized IMC-PID approach, the analytical tuning rules of the multi-loop PI controller are firstly derived for achieving the desired closed-loop response, and the structured singular value synthesis is then utilized for the tradeoffs between the robust stability and performance by adjusting only one design parameter (i.e., the closed-loop time constant). To verify the superiority of the proposed method, the simulation studies have been conducted on a wide variety of multivariable processes. The multi-loop PI controller designed by the proposed method shows a fast, well-balanced and robust response with the minimum integral absolute error (IAE) in compared with other renowned methods.

Mean Square Response Analysis of the Tall Building to Hazard Fluctuating Wind Loads (재난변동풍하중을 받는 고층건물의 평균자승응해석)

  • Oh, Jong Seop;Hwang, Eui Jin;Ryu, Ji Hyeob
    • Journal of Korean Society of Disaster and Security
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    • v.6 no.3
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    • pp.1-8
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    • 2013
  • Based on random vibration theory, a procedure for calculating the dynamic response of the tall building to time-dependent random excitation is developed. In this paper, the fluctuating along- wind load is assumed as time-dependent random process described by the time-independent random process with deterministic function during a short duration of time. By deterministic function A(t)=1-exp($-{\beta}t$), the absolute value square of oscillatory function is represented from author's studies. The time-dependent random response spectral density is represented by using the absolute value square of oscillatory function and equivalent wind load spectrum of Solari. Especially, dynamic mean square response of the tall building subjected to fluctuating wind loads was derived as analysis function by the Cauchy's Integral Formula and Residue Theorem. As analysis examples, there were compared the numerical integral analytic results with the analysis fun. results by dynamic properties of the tall uilding.

HYPERBOLIC TYPE CONVEXITY AND SOME NEW INEQUALITIES

  • Toplu, Tekin;Iscan, Imdat;Kadakal, Mahir
    • Honam Mathematical Journal
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    • v.42 no.2
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    • pp.301-318
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    • 2020
  • In this paper, we introduce and study the concept of hyperbolic type convexity functions and their some algebraic properties. We obtain Hermite-Hadamard type inequalities for this class of functions. In addition, we obtain some refinements of the Hermite-Hadamard inequality for functions whose first derivative in absolute value, raised to a certain power which is greater than one, respectively at least one, is hyperbolic convexity. Moreover, we compare the results obtained with both Hölder, Hölder-İşcan inequalities and power-mean, improved-power-mean integral inequalities.

A study on the motion decision of the arm using pattern recognition of EMG signal (EMG신호의 패턴인식을 이용한 동작판정에 관한 연구)

  • 홍석교;고영길;유근호
    • 제어로봇시스템학회:학술대회논문집
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    • 1987.10b
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    • pp.694-698
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    • 1987
  • In this paper, the primitive and double combined motion classification of the arm is discussed using pattern recognition of EM signal. The EM signals are detected from Ag-Ag/Cl surface electrodes, and IBM PC, calculated the Likelyhood probability and the decision function on the feature space of integral absolute value. Multiclass decision rule is introduced for higher decision rate. On our experimental results from expert simulator, the decision rate of more than 78% can be obtained.

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FRACTIONAL INEQUALITIES FOR SOME EXPONENTIALLY CONVEX FUNCTIONS

  • Mehreen, Naila;Anwar, Matloob
    • Honam Mathematical Journal
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    • v.42 no.4
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    • pp.653-665
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    • 2020
  • In this paper, we establish new integral inequalities via Riemann-Liouville fractional integrals and Katugampola fractional integrals for the class of functions whose derivatives in absolute value are exponentially convex functions and exponentially s-convex functions in the second sense.

SIMPSON-HADAMARD'S INEQUALITIES FOR HADAMARD K-FRACTIONAL INTEGRALS

  • ASRAA ABDUL JALEEL HUSIEN
    • Journal of applied mathematics & informatics
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    • v.42 no.5
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    • pp.1051-1061
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    • 2024
  • In this paper, we present some Hadamard-Simpson type inequalities for Hadamard k-fractional integrals of a function f. These inequalities are based on convexity of |f'|, the absolute value of derivative of f. Also, a lower bound for k-fractional integrals is presented in the presence of the convexity of f.

Performance and modeling of high-performance steel fiber reinforced concrete under impact loads

  • Perumal, Ramadoss
    • Computers and Concrete
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    • v.13 no.2
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    • pp.255-270
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    • 2014
  • Impact performance of high-performance concrete (HPC) and SFRC at 28-day and 56-day under the action of repeated dynamic loading was studied. Silica fume replacement at 10% and 15% by mass and crimped steel fiber ($V_f$ = 0.5%- 1.5%) with aspect ratios of 80 and 53 were used in the concrete mixes. Results indicated that addition of fibers in HPC can effectively restrain the initiation and propagation of cracks under stress, and enhance the impact strengths and toughness of HPC. Variation of fiber aspect ratio has minor effect on improvement in impact strength. Based on the experimental data, failure resistance prediction models were developed with correlation coefficient (R) = 0.96 and the estimated absolute variation is 1.82% and on validation, the integral absolute error (IAE) determined is 10.49%. On analyzing the data collected, linear relationship for the prediction of failure resistance with R= 0.99 was obtained. IAE value of 10.26% for the model indicates better the reliability of model. Multiple linear regression model was developed to predict the ultimate failure resistance with multiple R= 0.96 and absolute variation obtained is 4.9%.