• Title/Summary/Keyword: Modified Error Function

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Design of the Estimator of Forward Kinematics Solution for a 6 DOF Motion Bed (6자유도 운동재현용 베드의 순기구학 추정기 설계)

  • 강지윤;김동환;이교일
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1996.04a
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    • pp.483-487
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    • 1996
  • We consider the estimation of the position and orientation of 6 DOF motion bed (Stewart platform) from the measured cylinder length. The solution of forward kinematics is not solved yet as a useful realtime application tool because of the complity of the equation with multiple solutiple solutions. Hence we suggest an algorithm for the estimation of forward kinematics solution using Luenberger observer withnonlinear error correction term. The Luenberger observer withlinear model shows that the estimation error does not go to zero in steadystate due to the linearization error of the dynamic model. Hence the linear observer is modified using nonlinear measurement error equation and we prove thd practical stability of the estimation error dynamics of the proposed observer using lyapunov function.

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Analysis of Modified Digital Costas Loop Part I : Performance in the Absence of Noise (변형된 디지털 Costas Loop에 관한 연구 (I) 잡음이 없을 경우의 성능 해석)

  • 정해창;은종관
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.19 no.2
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    • pp.38-50
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    • 1982
  • A new type of digital phase-locked loop (DPLL) called the modified digital Costas loop is proposed and analyzed. The main feature of the proposed loop is that the phase error detector of the loop has linear characteristic. This results from the use of the tan-1 (.) function in the loop. Accordingly, the DPLL can be characterized by a modulo-2$\pi$ linear difference equation. This paper is diveide into two parts. In Part I we describe the proposed system, and analyze the performance of the first-and second-order loops in the absence of noise by the Phase Plane technique. The locking ranges for the DPLL's to achieve exact locking independently of initial conditions have been obtained in closed forms. Also, the false lock and oscillation phenomena occurring under some initial conditions have been considered. These results have been verified by computer simulation. In Part ll we analyze the proposed system in the presence of noise. The steady state probability density function, mean and variance of the phase error have been obtained by solving the Chapman-Kolmogorov equation. These results will be presented in Part ll.

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Reducing PAPR of OFDM Signals Using Modified Partial Transmit Sequences Technique Based on Erasure Decoding (소실 복호 기반의 수정된 PTS 기법을 이용한 OFDM 신호의 PAPR 감소)

  • Kong, Min-Han;Song, Moon-Kyou
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.32 no.8C
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    • pp.775-781
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    • 2007
  • In this paper, a modified PTS(Partial Transmit Sequences) technique that uses erasure decoding of RS (Reed-Solomon) codes is presented. At the transmitter, some check symbols in a RS codeword partitioned into subblocks are phase-rotated by phase factors. The receiver decodes received codewords by regarding the phase-rotated check symbols as erasures. Hence, this technique does not need to transmit the side information about the phase factors chosen at the transmitter. The complexity of the receiver is also reduced since the estimation process for the phase factors is not required in the receiver. There is no performance degradation due to the transmission error of the side information or the estimation error of the phase factors. To evaluate the performance of the proposed PTS technique, the CCDF(Complementary Cumulative Distribution Function) of PAPR and the BER(Bit Error Rate) are compared with those of the conventional PTS techniques.

Study on The Stiffness Locking Phenomenon and Eigen Problem in Mindlin Plate (Mindlin 판의 강성 과잉 현상과 고유치에 관한 연구)

  • 김용우;박춘수;민옥기
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.2
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    • pp.445-454
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    • 1991
  • In this thesis, Mindlin plate element with nine nodes and three degrees-of-freedom at each node is formulated and is employed in eigen-analysis of a rectangular plates in order to alleviate locking phenomenon of eigenvalues. Eigenvalues and their modes may be locked if conventional $C_{0}$-isoparametric element is used. In order to reduce stiffness locking phenomenon, two methods (1, the general reduced and selective integration, 2, the new element that use of modified shape function) are studied. Additionally in order to reduce the error due to mass matrix, two mass matrixes (1, Gauss-Legendre mass matrix, 2, Gauss-Lobatto mass matrix) are considered. The results of eigen-analysis for two models (the square plate with all edges simply-supported and all edges built-in), computed by two methods for stiffness matrix and by two mass matrixes are compared with theoretical solutions and conventional numerical solutions. These comparisons show that the performance of the two methods with Gauss-Lobatto mass matrix is better than that of the conventional plate element. But, by considering the spurious rigid body motions, the element which employs modified shape function with full integration and Gauss-Lobatto mass matrix can elevate the accuracy and convergence of numerical solutions.

Modified adaptive complementary sliding mode control for the longitudinal motion stabilization of the fully-submerged hydrofoil craft

  • Liu, Sheng;Niu, Hongmin;Zhang, Lanyong;Xu, Changkui
    • International Journal of Naval Architecture and Ocean Engineering
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    • v.11 no.1
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    • pp.584-596
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    • 2019
  • This paper presents a Modified Adaptive Complementary Sliding Mode Control (MACSMC) system for the longitudinal motion control of the Fully-Submerged Hydrofoil Craft (FSHC) in the presence of time varying disturbance and uncertain perturbations. The nonlinear disturbance observer is designed with less conservatism that only boundedness of the derivative of the disturbance is required. Then, a complementary sliding mode control system combined with adaptive law is designed to reduce the bound of stabilization error with fast convergence. In particularly, the modified complementary sliding mode surface which contains the estimation of the disturbance can reduce the switching gain and retain the normal performance of the system. Moreover, a hyperbolic tangent function contained in the control law is utilized to attenuate the chattering of the actuator. The global asymptotic stability of the closed-loop system is demonstrated utilizing the Lyapunov stability theory. Ultimately, the simulation results show the effectiveness of the proposed approach.

Performance Enhancement of Decision Directed SNR Estimation by Correction Scheme of SNR Estimation Error (결정지향 SNR 추정방식에서의 추정오차 보정기법을 통한 SNR 추정성능개선)

  • Kwak, Jae-Min
    • Journal of Advanced Navigation Technology
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    • v.16 no.6
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    • pp.982-987
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    • 2012
  • In this paper, the SNR estimation error of Decision Directed SNR estimation method in AWGN is investigated, which uses samples received in reference decision region. In communication system receiver, when SNR estimation scheme using error vectors between ideal sample points and received sample points of reference region is adopted, the samples contain incorrectly received samples due to AWGN. Consequently, the mean of estimated reference constellation point is shifted and Decision Directed SNR estimation is inaccurately performed. These effects are explained by modified probability density function and difference between actual SNR and estimated SNR is theoretically derived and quantatively analyzed. It is proved that SNR estimation error obtained through computer simulation is matched up with derived one, and SNR estimation performance is enhanced significantly by adopting suggested correction scheme.

Modelling CO2 and NOx on signalized roundabout using modified adaptive neural fuzzy inference system model

  • Sulaiman, Ghassan;Younes, Mohammad K.;Al-Dulaimi, Ghassan A.
    • Environmental Engineering Research
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    • v.23 no.1
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    • pp.107-113
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    • 2018
  • Air quality and pollution have recently become a major concern; vehicle emissions significantly pollute the air, especially in large and crowded cities. There are various factors that affect vehicle emissions; this research aims to find the most influential factors affecting $CO_2$ and $NO_x$ emissions using Adaptive Neural Fuzzy Inference System (ANFIS) as well as a systematic approach. The modified ANFIS (MANFIS) was developed to enhance modelling and Root Mean Square Error was used to evaluate the model performance. The results show that percentages of $CO_2$ from trucks represent the best input combination to model. While for $NO_x$ modelling, the best pair combination is the vehicle delay and percentage of heavy trucks. However, the final MANFIS structure involves two inputs, three membership functions and nine rules. For $CO_2$ modelling the triangular membership function is the best, while for $NO_x$ the membership function is two-sided Gaussian.

Exponential Stability of th PDAF with a Modified Riccati Equation a Cluttered Environment

  • Kim, Young-Shik;Hong, Keum-Shik
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.4
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    • pp.235-243
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    • 2000
  • The probabilistic data association filter(PDAF) is known to provide better tracking performance than the standard Kalman filter(KF) in a cluttered environment. In this paper, the stability of the PDAF of Fortmann et al[7], in the presence of uncertainties with regard to the origin of measurement, is investigated. The modified Riccati equation derived by approximating two random terms with their expectations is used to prove the stability of the PDAF. A new Lyapunov function based approach, which is different from the quantitative evaluation of Li and Bar-Shalom[7], is pursued. With the assumption that the system and observation noises are bounded, specific tracking error bounds are established.

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Adaptive Blind Equalization Algorithm based on Mixed-Modified Constant Modulus Algorithm (Miced-MCMA 적응 블라인드 등화 알고리즘)

  • 정영화
    • The Journal of Information Technology
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    • v.1 no.2
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    • pp.39-53
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    • 1998
  • The CMA and MCMA adaptive blind equalization algorithm has an inevitable error caused by mismatching between the original constellation at the steady state after the equalization and the unique constellation. This problem is due to considering the new type constellation(constant modulus, reduced constellation) as desired constellation. In this paper, we propose a new adaptive blind equalization algorithm which can reach to the steady state with rapid convergence speed and achive the improvement of error value in the steady state. The Proposed algorithm has a new error function using the decided original constellation instead of the reduced constellation. By computer simulation, it is comfirmed that the proposed algorithm has the performance superiority in terms of residual ISI and convergence speed compared with the adaptive blind equalization algorithm of CMA family, Constant Modulus Algorithm with Carrier Phase Recovery and Modified CMA(MCMA).

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The Clinical Application of modified Emory Functional Ambulation Profile for Chronic Stroke Patients (만성 편마비 환자의 modified Emory Functional Ambulation Profile의 임상 적용)

  • Kim, Seong-Yeol;Lee, Je-Hoon;An, Seung-Heon
    • Journal of the Korean Society of Physical Medicine
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    • v.5 no.4
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    • pp.655-666
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    • 2010
  • Purpose : The examine the reliability and validity of the modified Emory Functional Ambulation Profile(mEFAP) for assessing gait function in chronic stroke patients. Methods : A total of 45 stroke patients, who had a stroke more than 6 months, participated in the study. Reliability was determined by Intra-class Correlation Coefficient($ICC_{3,1}$), including Bland and Altman method (Standard Error of Measurement: SEM, Small Real Differences: SRD). Validity was examined by correlating results to the gait ability(mEFAP, Modified Motor Assessment Scale-Gait(MMAS-G), Scandinavian Stroke Scale-Gait(SSS-G), Functional Ambulation Category(FAC), 10m Waking Test(10m WT)), and Fugl Meyer-Lower/Extremity(FM-L/E), Berg Balance Scale(BBS). Results : Inter-rater reliability for the total mEFAP was High($ICC_{2,1}$=.998), and absolute reliability were excellent (SEM: 1.75, SRD: 4.85). Subjects without assistance factor performed better on all tests than did subjects who had stroke. There were significant correlations between the mEFAP and MMAS-G, SSS-G, FAC(r=-.66~-.79), 10 m WT(r=-.86), and FM-L/E, BBS(r=-.72~-.78), indicating good validity. Increased times on the mEFAP correlated with poor performance on the gait ability, motor function of lower extremity, BBS and slow gait speeds on the 10 m WT in stroke patients. Conclusion : The mEFAP can be administered easily and comprehensively. It is a reliable gait assessment tool for patients with stroke and correlated with known of function, the mEFAP may be a clinically useful measure of ambulation.