• 제목/요약/키워드: Quadratic form

검색결과 275건 처리시간 0.023초

회전기계 고장 진단에 적용한 인공 신경회로망과 통계적 패턴 인식 기법의 비교 연구 (A Comparison of Artificial Neural Networks and Statistical Pattern Recognition Methods for Rotation Machine Condition Classification)

  • 김창구;박광호;기창두
    • 한국정밀공학회지
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    • 제16권12호
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    • pp.119-125
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    • 1999
  • This paper gives an overview of the various approaches to designing statistical pattern recognition scheme based on Bayes discrimination rule and the artificial neural networks for rotating machine condition classification. Concerning to Bayes discrimination rule, this paper contains the linear discrimination rule applied to classification into several multivariate normal distributions with common covariance matrices, the quadratic discrimination rule under different covariance matrices. Also we discribes k-nearest neighbor method to directly estimate a posterior probability of each class. Five features are extracted in time domain vibration signals. Employing these five features, statistical pattern classifier and neural networks have been established to detect defects on rotating machine. Four different cases of rotation machine were observed. The effects of k number and neural networks structures on monitoring performance have also been investigated. For the comparison of diagnosis performance of these two method, their recognition success rates are calculated form the test data. The result of experiment which classifies the rotating machine conditions using each method presents that the neural networks shows the highest recognition rate.

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최적의 상호상관관계를 갖는 이진 수열의 설계 (Design of Binary Sequences with Optimal Cross-correlation Values)

  • 최언숙;조성진
    • 한국전자통신학회논문지
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    • 제6권4호
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    • pp.539-544
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    • 2011
  • 적당한 정수 $n({\geq}1)$에 대하여 2-valued 자기상관관계를 갖는 주기가 $2^n-1$인 균형 이진 수열(balanced binary sequences)은 대역확산 통신 시스템(spread-spectrum communication system)에서 많이 응용되고 있다. 본 논문에서는 르장드르 수열에 의해 구성되는 새로운 3-valued 비선형 이진 수열을 제안한다. 이 수열은 유한체 위에서 트레이스를 이용해 생성하는 가장 우수한 수열인 m-수열, GMW 수열, Kasami 수열, No 수열을 모두 포함한다. 제안된 수열은 Klapper에 의해 제안된 이차형식 수열보다 더 낮은 상호상관관계를 갖는다.

능동 구속감쇠층을 이용한 아크형태 셸 모델에 대한 진동특성 연구 (Vibration Characteristic Study of Arc Type Shell Using Active Constrained Layer Damping)

  • 고성현;박현철;황운봉;박철휴
    • 한국소음진동공학회논문집
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    • 제14권3호
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    • pp.193-200
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    • 2004
  • The Active Constrained Layer Damping(ACLD) combines the simplicity and reliability of passive damping with the low weight and high efficiency of active control to attain high damping characteristics. The proposed ACLD treatment consists of a viscoelastic damping which is sandwiched between an active piezoelectric layer and a host structure. In this manner, the smart ACLD consists of a Passive Constrained Layer Damping(PCLD) which is augmented with an active control in response to the structural vibrations. The arc type shell model is introduced to describe the interactions between the vibrating host structure, piezoelectric actuator and viscoelastic damping. The system is modeled by applying ARMAX model and changing a state-space form through the system identification method. An optimum control law for the piezo actuator is obtain by LQR(Linear Quadratic Regulator) method. The performance of the ACLD system is determined and compared with PCLD in order to demonstrate the effectiveness of the ACLD treatment. Also, the actuation capability of a piezo actuator is examined experimentally by varying thickness of viscoelastic material(VEM).

ENHANCED FUZZY SLIDING MODE CONTROLLER FOR LAUNCH CONTROL OF AMT VEHICLE USING A BRUSHLESS DC MOTOR DRIVE

  • Zhao, Y.S.;Chen, L.P.;Zhang, Y.Q.;Yang, J.
    • International Journal of Automotive Technology
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    • 제8권3호
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    • pp.383-394
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    • 2007
  • Due to the clutch's non-linear dynamics, time-delays, external disturbance and parameter uncertainty, the automated clutch is difficult to control precisely during the launch process or automatic mechanical transmission (AMT) vehicles. In this paper, an enhanced fuzzy sliding mode controller (EFSMC) is proposed to control the automated clutch. The sliding and global stability conditions are formulated and analyzed in terms of the Lyapunov full quadratic form. The chattering phenomenon is handled by using a saturation function to replace the pure sign function and fuzzy logic adaptation system in the control law. To meet the real-time requirement of the automated clutch, the region-wise linear technology s adopted to reduce the fuzzy rules of the EFSMC. The simulation results have shown hat the proposed controller can achieve a higher performance with minimum reaching time and smooth control actions. In addition, our data also show that the controller is effective and robust to the parametric variation and external disturbance.

3차원 공간 판구조물의 유한요소 해석에 관한 연구 (A Study on the Finite Element Analysis of Three Dimensional Plate Structures)

  • 권오영;남정길
    • 수산해양기술연구
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    • 제35권1호
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    • pp.54-59
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    • 1999
  • High-speed electronic digital computers have enabled engineers to employ various numerical discretization techniques for solutions of complex problems. The Finite Element Method is one of the such technique. The Finite Element Method is one of the numerical analysis based on the concepts of fundamental mathematical approximation. Three dimensional plate structures used often in partition of ship, box girder and frame are analyzed by Finite Element Method. In design of structures, the static deflections, stress concentrations and dynamic deflections must be considered. However, these problem belong to geometrically nonlinear mechanical structure analysis. The analysis of each element is independent, but coupling occurs in assembly process of elements. So, to overcome such a difficulty the shell theory which includes transformation matrix and a fictitious rotational stiffness is taken into account. Also, the Mindlin's theory which is considered the effect of shear deformation is used. The Mindlin's theory is based on assumption that the normal to the midsurface before deformation is "not necessarily normal to the midsurface after deformation", and is more powerful than Kirchoff's theory in thick plate analysis. To ensure that a small number of element can represent a relatively complex form of the type which is liable to occur in real, rather than in academic problem, eight-node quadratic isoparametric elements are used. are used.

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Nonlinear free vibration and post-buckling of FG-CNTRC beams on nonlinear foundation

  • Shafiei, Hamed;Setoodeh, Ali Reza
    • Steel and Composite Structures
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    • 제24권1호
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    • pp.65-77
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    • 2017
  • The purpose of this research is to study the nonlinear free vibration and post-buckling analysis of functionally graded carbon nanotube reinforced composite (FG-CNTRC) beams resting on a nonlinear elastic foundation. Uniformly and functionally graded distributions of single walled carbon nanotubes as reinforcing phase are considered in the polymeric matrix. The modified form of rule of mixture is used to estimate the material properties of CNTRC beams. The governing equations are derived employing Euler-Bernoulli beam theory along with energy method and Hamilton's principle. Applying von $K\acute{a}rm\acute{a}n's$ strain-displacement assumptions, the geometric nonlinearity is taken into consideration. The developed governing equations with quadratic and cubic nonlinearities are solved using variational iteration method (VIM) and the analytical expressions and numerical results are obtained for vibration and stability analysis of nanocomposite beams. The presented comparative results are indicative for the reliability, accuracy and fast convergence rate of the solution. Eventually, the effects of different parameters, such as foundation stiffness, volume fraction and distributions of carbon nanotubes, slenderness ratio, vibration amplitude, coefficients of elastic foundation and boundary conditions on the nonlinear frequencies, vibration response and post-buckling loads of FG-CNTRC beams are examined. The developed analytical solution provides direct insight into parametric studies of particular parameters of the problem.

Performances of the Directional Control Solenoid Valve for a Combined Power Plant

  • Kim, Chul-Jin;Yun, Yu-Seong;Kim, Do-Tae;Lee, Il-Young
    • International Journal of Safety
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    • 제11권2호
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    • pp.10-14
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    • 2012
  • Recently, the combined power plants are refocused rapidly as a replaceable energy system of the nuclear power plant. The large turbine is revolved highly at 1800~3600 rpm. Thus, the turbine speed should be monitored with mechanical and electrical method for a safety. The electrical cutoff valve which blocks the flow channel with the electrical signal is with a built in. The aim of this study is to develop a manufacturing technology through by the localization of a solenoid actuated directional control valve. Especially the results show performances of the solenoid valve by the experiments and modeling and the reliability estimation. Applied load port pressure was changed rapidly on the form of a quadratic curve over time. And in the cases of square waveform when 0~100 V and 20~120 V input voltage, it was driven on a stable state until 13.4 Hz and 16.6 Hz, respectively. We think that this study will give useful data for the electricity safety system of the combined power plant gas turbine.

Design of nonlinear optimal regulators using lower dimensional riemannian geometric models

  • Izawa, Yoshiaki;Hakomori, Kyojiro
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 1994년도 Proceedings of the Korea Automatic Control Conference, 9th (KACC) ; Taejeon, Korea; 17-20 Oct. 1994
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    • pp.628-633
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    • 1994
  • A new Riemannian geometric model for the controlled plant is proposed by imbedding the control vector space in the state space, so as to reduce the dimension of the model. This geometric model is derived by replacing the orthogonal straight coordinate axes on the state space of a linear system with the curvilinear coordinate axes. Therefore the integral manifold of the geometric model becomes homeomorphic to that of fictitious linear system. For the lower dimensional Riemannian geometric model, a nonlinear optimal regulator with a quadratic form performance index which contains the Riemannian metric tensor is designed. Since the integral manifold of the nonlinear regulator is determined to be homeomorphic to that of the linear regulator, it is expected that the basic properties of the linear regulator such as feedback structure, stability and robustness are to be reflected in those of the nonlinear regulator. To apply the above regulator theory to a real nonlinear plant, it is discussed how to distort the curvilinear coordinate axes on which a nonlinear plant behaves as a linear system. Consequently, a partial differential equation with respect to the homeomorphism is derived. Finally, the computational algorithm for the nonlinear optimal regulator is discussed and a numerical example is shown.

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외란 관측기에 기반을 둔 힘 추정기 설계 (Design of Force Estimator Based on Disturbance Observer)

  • 엄광식;서일홍
    • 대한전기학회논문지:전력기술부문A
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    • 제48권9호
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    • pp.1140-1146
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    • 1999
  • In this paper, a force estimation method is proposed for force control without force sensor. For this , a disturbance observer is applied to each joint of an {{{{ { n}_{ } }}}} degrees of freedom manipulator to obtain a simple equivalent robot dynamics(SERD) being represented as an n independent double integrator system. To estimate the output of disturbance observer due to internal torque, the disturbance observer output estimator(DOOE) is designed, where uncertain parameters of the robot manipulator are adjusted by the gradient method to minimize the performance index which is defined as the quadratic form of the error signal between the output of disturbance observer and that of DOOE. when the external force is exerted, the external force is estimated by the difference between the output of disturbance observer and DOOE, since output of disturbance observer includes the external torque signal as well as the internal torque estimated by the output of DOOE. And then, a force controller is designed for force feedback control employing the estimated force signal. To verify the effectiveness of the proposed force estimation method, several numerical examples and experimental results are illustrated for the 2-axis direct drive robot manipulator.

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Structure-Control Combined Design with Structure Intensity

  • Park, Jung-Hyen;Kim, Soon-Ho
    • International Journal of Ocean Engineering and Technology Speciallssue:Selected Papers
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    • 제6권1호
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    • pp.60-68
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    • 2003
  • This paper proposes an optimum design method of structural and control systems, using a 2-D truss structure as an example. The structure is subjected to initial static loads and disturbances. For the structure, a FEM model is formed. Using modal transformation, the equation of motion is transformed into modal coordinates, in order to decrease D.O.F. of the FEM model. To suppress the effect of the disturbances, the structure is controlled by an output feedback $H_{\infty}$ controller. The design variables of the combined optimal design of the control-structure systems are the cross sectional areas of truss members. The structural objective function is the structural weight. The control objective function is the $H_{\infty}$ norm, the performance index of control. The second structural objective function is the energy of the response related to the initial state, which is derived from the time integration of the quadratic form of the state in the closed-loop system. In a numerical example, simulations have been perform. Through the consideration of structural weight and $H_{\infty}$ norm, an advantage of the combined optimum design of structural and control systems is shown. Moreover, since the performance index of control is almost nearly optimiz, we can acquire better design of structural strength.

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