• Title/Summary/Keyword: Nonlinear Systems of Equations

Search Result 467, Processing Time 0.029 seconds

A Study on an Efficient Method to Evaluate Intermodulation Product (혼변조적의 효과적인 산출 방식에 관한 연구)

  • 고성찬;황인환;최형진
    • Journal of the Korean Institute of Telematics and Electronics A
    • /
    • v.30A no.9
    • /
    • pp.14-23
    • /
    • 1993
  • In this paper, we present analysis results of various intermodulation products (IMPs) evaluation methods previously proposed for nonlinear systems. The results indicate that out of these methods, Fuenzalida and Simbo's method is the best for efficient evaluation of IMPs. Also, we present a detailed mathematical analysis of IMP and show how to apply the equations related to IMP to actual program implementations with examples. In this paper, we newly introduce three methods to reduce the IMP calculation time and improve the accuracy of the outputs :1) TWTA curve fitting method by LS (Least Square), 2) IMP evaluation technique which is based on a look-up table 3) Gaussian spectral shaping for PSK signal instead of convolution. The IMP evaluation results obtained by the new approaches introduced in this paper resulted in a good match with the published outputs in the open literature and showed improved performance especially in the TWTA curve .

  • PDF

EIGENVALUE PROBLEMS FOR SYSTEMS OF NONLINEAR HIGHER ORDER BOUNDARY VALUE PROBLEMS

  • Rao, A. Kameswara;Rao, S. Nageswara
    • Journal of applied mathematics & informatics
    • /
    • v.28 no.3_4
    • /
    • pp.711-721
    • /
    • 2010
  • Values of the parameter $\lambda$ are determined for which there exist positive solutions of the system of boundary value problems, $u^{(n)}+{\lambda}p(t)f(\upsilon)=0$, $\upsilon^{(n)}+{\lambda}q(t)g(u)=0$, for $t\;{\in}\;[a,b]$, and satisfying, $u^{(i)}(a)=0$, $u^{(\alpha)}(b)=0$, $\upsilon^{(i)}(a)=0$, $\upsilon^{(\alpha)}(b)=0$, for $0\;{\leq}\;i\;{\leq}\;n-2$ and $1\;{\leq}\;\alpha\;\leq\;n-1$ (but fixed). A well-known Guo-Krasnosel'skii fixed point theorem is applied.

A Calculation Method on Heat Flux from Ondol Floor Surface (온돌면(溫突面)의 방열량(放熱量) 산정방법(算定方法)에 관한 연구(硏究))

  • Sohn, Jang Yeul;Ahn, Byung Wook;Pang, Seung Ki
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
    • /
    • v.1 no.2
    • /
    • pp.173-181
    • /
    • 1989
  • Until recently there was a lack of reliable performance data for the design and operation of Ondol heating systems. This paper presents a calculation method on heat flux from Ondol floor surface. Total heat flux from floor consists of radiation and convection component. In order to analyse the characteristics of both radiation and convection heat flux, each surface temperature is measured and several temperatures near each wall are measured vertically and horizontally in a practical Ondol heating space. Radiation heat flux is calculated and analysed by Gebhart's Absorption Factor Method with the consideration of instantaneous radiant exchanges. Convection heat output is derived from the vertical temperature profiles near floor. The vertical temperature profiles could be expressed by nonlinear regression equation models and convection coefficients could be estimated by the equations. As a result, radiation, convection and total heat flux are suggested by the expression of difference between floor surface and room air temperature.

  • PDF

ON LEARNING OF CNAC FOR MANIPULATOR CONTROL

  • Hwang, Heon;Choi, Dong-Y.
    • 제어로봇시스템학회:학술대회논문집
    • /
    • 1989.10a
    • /
    • pp.653-662
    • /
    • 1989
  • Cerebellar Model Arithmetic Controller (CMAC) has been introduced as an adaptive control function generator. CMAC computes control functions referring to a distributed memory table storing functional values rather than by solving equations analytically or numerically. CMAC has a unique mapping structure as a coarse coding and supervisory delta-rule learning property. In this paper, learning aspects and a convergence of the CMAC were investigated. The efficient training algorithms were developed to overcome the limitations caused by the conventional maximum error correction training and to eliminate the accumulated learning error caused by a sequential node training. A nonlinear function generator and a motion generator for a two d.o.f. manipulator were simulated. The efficiency of the various learning algorithms was demonstrated through the cpu time used and the convergence of the rms and maximum errors accumulated during a learning process. A generalization property and a learning effect due to the various gains were simulated. A uniform quantizing method was applied to cope with various ranges of input variables efficiently.

  • PDF

Small Signal Modeling Analysis and Experimental Verification of LLC Resonant Converter (LLC 공진형 컨버터의 소신호 모델링 분석 및 실험적 검증)

  • Kim, Jinwoo;Lee, Taeyoung;Cho, Younghoon;Choe, Gyu-Ha
    • Proceedings of the KIPE Conference
    • /
    • 2017.07a
    • /
    • pp.365-366
    • /
    • 2017
  • LLC resonant DC-DC converter is widely used in many kinds of applications such as battery energy storage systems, wireless power transfer and high voltage power supply. It is because of characteristics like high efficiency, power density, isolation, wide power level and stability enhancement at high switching frequency. Small signal modeling helps to design controller of the converter by approximating the behavior of nonlinear system with linear state equations. This paper presents comparison between small signal modeling analysis and experimental results of LLC resonant converter.

  • PDF

Research on detecting moving targets with an improved Kalman filter algorithm

  • Jia quan Zhou;Wei Wei
    • KSII Transactions on Internet and Information Systems (TIIS)
    • /
    • v.17 no.9
    • /
    • pp.2348-2360
    • /
    • 2023
  • As science and technology evolve, object detection of moving objects has been widely used in the context of machine learning and artificial intelligence. Traditional moving object detection algorithms, however, are characterized by relatively poor real-time performance and low accuracy in detecting moving objects. To tackle this issue, this manuscript proposes a modified Kalman filter algorithm, which aims to expand the equations of the system with the Taylor series first, ignoring the higher order terms of the second order and above, when the nonlinear system is close to the linear form, then it uses standard Kalman filter algorithms to measure the situation of the system. which can not only detect moving objects accurately but also has better real-time performance and can be employed to predict the trajectory of moving objects. Meanwhile, the accuracy and real-time performance of the algorithm were experimentally verified.

APPROXIMATE CONTROLLABILITY FOR NONLINEAR INTEGRODIFFERENTIAL EQUATIONS

  • Choi, J.R.;Kwun, Y.C.;Sung, Y.K.
    • The Pure and Applied Mathematics
    • /
    • v.2 no.2
    • /
    • pp.173-181
    • /
    • 1995
  • Our objective is to investigate approximate controllability of a class of partial integrodifferential systems. This work continuous the investigations of [8]. As a model for this class one may take the equation $\frac{\partialy(t,\;\xi)}{\partialt}\;=\;\frac{\partial}{\partial\xi}(a(t,\;\xi\frac{\partialy(t,\;\xi)}{\partial\xi})\;+\;F(t,\;y(t\;-\;r,\;\xi),\;{{\int_0}^t}\;k(t,\;s,\;y(s\;-\;r,\;\xi))ds)\;+\;b(\xi)u(t),\;0\;\leq\;\xi\;\leq\;1,\;\leq\;t\;\leq\;T$ with initial-boundary conditions y(t,\;0)\;=\;y(t,\;1)\;=\;0,\;0\;\leq\;t\;\leq\;T,\;y(t,\;\xi)\;=\;\phi(t,\;\xi),\;0\;\leq\;1,\;-r\;\leq\;t\;\leq\;0$.(omitted)

  • PDF

Stability of matching boundary conditions for diatomic chain and square lattice

  • Ji, Songsong;Tang, Shaoqiang
    • Coupled systems mechanics
    • /
    • v.7 no.3
    • /
    • pp.255-268
    • /
    • 2018
  • Stability of MBC1, a specific matching boundary condition, is proved for atomic simulations of a diatomic chain. The boundary condition and the Newton equations that govern the atomic dynamics form a coupled system. Energy functions that decay along with time are constructed for both the boundary with the same type atoms and the one with different type atoms. For a nonlinear chain, MBC1 is also shown stable. Numerical verifications are presented. Moreover, MBC1 is proved to be stable for a two dimensional square lattice.

Estimation of Power System Parameters using Synchronized Phaser Measurements (동기 페이저 측정치를 이용한 전력계통 매개변수 추정)

  • Song, Shi-Cheol;Cho, Ki-Seon;Shin, Joong-Rin
    • Proceedings of the KIEE Conference
    • /
    • 2000.07a
    • /
    • pp.80-84
    • /
    • 2000
  • Network parameters in power systems are indispensable for all of power system engineering studies, including the power flow calculation and the state estimation. The network parameters required for the studios, in general, are estimated by using several estimation techniques, since it Is very difficult to measure. To improve the estimation accuracy of the network parameters, this paper adopt the synchronized phasor measurements which are acquired from the Phasor Measurement Unit with built-in GPS receiver. In this paper, the parameter estimation problem is formulated with over-determined nonlinear measurement equations and solved with Newton-Raphson method and pseudo-inverse. The effectiveness of the proposed parameter estimation with the synchronized phasor measurements is verified through some case studies with IEEE sample system. The results are very promising.

  • PDF

Solutions of the Navier-Stokes equation in slip flow region (Slip flow 영역에서 Navier Stokes 방정식의 해석 연구)

  • Park, W.H.;Kim, T.K.
    • Proceedings of the KSME Conference
    • /
    • 2000.11b
    • /
    • pp.597-602
    • /
    • 2000
  • In a MEMS(micro-electro mechanical system), the fluid may slip near the surface of a solid and have a discontinuous temperature profile. A numerical prediction in this slip flow region can provide a reasonable guide for the design and fabrication of micro devices. The compressible Navier-Stokes equation with Maxwell/smoluchowski boundary condition is solved for two simple systems; couette flow and pressure driven flow in a long channel. We found that the couette flow could be regarded as an incompressible system in low speed regions. For the pressure driven flow system, we observed nonlinear distribution of pressure in the long channel and numerical results showed a good agreement with the experimental results.

  • PDF