• Title/Summary/Keyword: a nonlinearity

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Adaptive Control of a Class of Feedforward and Non-feedforward Nonlinear Systems (피드포워드와 비피드포워드 비선형성이 혼재된 비선형 시스템의 적응 제어)

  • Koo, Min-Sung;Choi, Ho-Lim;Lim, Jong-Tae
    • Journal of Institute of Control, Robotics and Systems
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    • v.17 no.6
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    • pp.573-578
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    • 2011
  • We propose a switching-based adaptive state feedback controller for a class of nonlinear systems that have uncertain nonlinearity. The base of the proposed conditions on the nonlinearity is the feedforward form, then it is extended via a nonlinear function containing all the states and the control input. As a result, more generalized systems containing feedforward and nonfeedforward terms are allowed as long as the ratio condition of the nonlinear function is satisfied. Moreover, the information on the growth rate of nonlinearity is not required a priori in our control scheme.

ALGORITHMS FOR GENERATING NONLINEAR COMBINERS WITH GIVEN CONDITIONS

  • Rhee, Min-Surp;Shin, Hyun-Yong;Jun, Youn-Bae
    • Journal of applied mathematics & informatics
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    • v.7 no.1
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    • pp.269-278
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    • 2000
  • A Boolean function generates a binary sequence which is frequently used in a stream cipher. There are number of critical concepts which a Boolean function, as a key stream generator in a stream cipher, satisfies. These are nonlinearity, correlation immunity, balancedness, SAC(strictly avalanche criterion), PC(propagation criterion) and so on. In this paper, we present the algorithms for generating random nonlinear combining functions satisfying given correlation immune order and nonlinearity. These constructions can be applied for designing the key stream generators. We use Microsoft Visual C++6.0 for our program.

Electro-optic Properties of a Guest-Host System Containing a Phenothiazine-based Chromophore: Effect of the Chromophore Density on the Macroscopic Optical Nonlinearity

  • Lee, Sang-Kyu;Cho, Min-Ju;Yoon, Hyuk;Lee, Seung-Hwan;Kim, Jae-Hong;Qing Zhang;Choi, Dong-Hoon
    • Macromolecular Research
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    • v.12 no.5
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    • pp.484-489
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    • 2004
  • We have prepared a phenothiazine-based nonlinear optical (NLO) chromophore that displays a fairly high microscopic nonlinearity through intramolecular charge transfer. The phenothiazine unit plays important roles of contributing its high electron donating ability and connecting the resonance pathway through a conjugative effect in the cyclized ring adjacent to the aromatic ring. Theoretical calculations and an absorption spectroscopic study provided useful information concerning the microscopic nonlinearity of the chromophores. We investigated the electro-optic (EO) properties of the guest-host systems in amorphous polycarbonate containing the synthesized chromophores at different concentrations under different poling temperatures. A real-time pole and probe method provided a much greater amount of information regarding how the EO properties can arise and how they can be optimized.

A NONLINEAR BEAM EQUATION WITH NONLINEARITY CROSSING AN EIGENVALUE

  • Park, Q-Heung;Nam, Hye-Won
    • Journal of the Korean Mathematical Society
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    • v.34 no.3
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    • pp.609-622
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    • 1997
  • We investigate the existence of solutions of the nonlinear beam equation under the Dirichlet boundary condition on the interval $-\frac{2}{\pi}, \frac{2}{\pi}$ and periodic condition on the varible t, $Lu + bu^+ -au^- = f(x, t)$, when the jumping nonlinearity crosses the first positive eigenvalue.

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A Quantitative Analysis of the Nonlinearity of Fuzzy Logic Controller (퍼지논리 제어기의 비선형성의 정량적 해석)

  • Lee, Chul-Heui;Seo, Seon-Hak
    • Journal of Industrial Technology
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    • v.16
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    • pp.231-237
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    • 1996
  • In this paper, the nonlinear I/O characteristic of fuzzy logic controller is analyzed by using cell concept. Sources of the nonlinearity in a fuzzy logic controller include the fuzzification, the fuzzy reasoning and the defuzzification. A closed form expression for the defuzzified output is derived in case of a fuzzy logic controller with two inputs, triangular memberships, MacVicar-Whelan type linguistic rules, and direct fuzzy reasoning. As a result, it is shown that fuzzy logic controller is a nonlinear controller. Also its nonlinearity is analyzed with respect to the conventional PID control and the sliding mode control.

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Analysis of thermo-rheologically complex structures with geometrical nonlinearity

  • Mahmoud, Fatin F.;El-Shafei, Ahmed G.;Attia, Mohamed A.
    • Structural Engineering and Mechanics
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    • v.47 no.1
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    • pp.27-44
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    • 2013
  • A finite element computational procedure for the accurate analysis of quasistatic thermorheological complex structures response is developed. The geometrical nonlinearity, arising from large displacements and rotations (but small strains), is accounted for by the total Lagrangian description of motion. The Schapery's nonlinear single-integral viscoelastic constitutive model is modified for a time-stress-temperature-dependent behavior. The nonlinear thermo-viscoelastic constitutive equations are incrementalized leading to a recursive relationship and thereby the resulting finite element equations necessitate data storage from the previous time step only, and not the entire deformation history. The Newton-Raphson iterative scheme is employed to obtain a converged solution for the non-linear finite element equations. The developed numerical model is verified with the previously published works and a good agreement with them is found. The applicability of the developed model is demonstrated by analyzing two examples with different thermal/mechanical loading histories.

A method for nonlinear aerostatic stability analysis of long-span suspension bridges under yaw wind

  • Zhang, Wen-Ming;Ge, Yao-Jun;Levitan, Marc L.
    • Wind and Structures
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    • v.17 no.5
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    • pp.553-564
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    • 2013
  • By using the nonlinear aerostatic stability theory together with the method of mean wind decomposition, a method for nonlinear aerostatic stability analysis is proposed for long-span suspension bridges under yaw wind. A corresponding program is developed considering static wind load nonlinearity and structural nonlinearity. Taking a suspension bridge with three towers and double main spans as an example, the full range aerostatic instability is analyzed under wind at different attack angles and yaw angles. The results indicate that the lowest critical wind speed of aerostatic instability is gained when the initial yaw angle is greater than $0^{\circ}$, which suggests that perhaps yaw wind poses a disadvantage to the aerostatic stability of a long span suspension bridge. The results also show that the main span in upstream goes into instability first, and the reason for this phenomenon is discussed.

Design and Performance Evaluation of Predistorter to Compensate HPA Nonlinearity in 16-QAM System (16-QAM 시스템에서 HPA 비선형성을 보상하기 위한 사전왜곡기의 설계 및 성능 평가)

  • Jang, Kyeongsoo;Ryu, Heung-Gyoon
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.28 no.12
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    • pp.948-953
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    • 2017
  • When using a high-power amplifier(HPA) for high-speed communication, the nonlinear characteristics of the HPA deteriorate power efficiency, bit error rate(BER) performance, and spectral efficiency. Because it is inevitable to use the HPA to obtain sufficient transmission power for high-speed communication, it is necessary to compensate for nonlinearity of the HPA by using a predistorter. In this study, a predistorter was used to compensate for the nonlinearity of the HPA, and the nonlinear distortion was compensated using the predistorter. Simulation results show that the compensation of the nonlinearity of the HPA using the predistorter achieves a BER performance similar to that of an ideal linear amplifier, and that the spectral mask is also satisfied.

Inelastic Nonlinear Analysis of Arch Truss and Space Truss Structures (아치 트러스 및 공간 트러스 구조의 비탄성 비선형 거동해석)

  • Kim, Kwang-Joong;Jung, Mi-Roo;Kim, Yeon-Tae;Baek, Ki-Youl;Lee, Jae-Hong
    • Journal of Korean Association for Spatial Structures
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    • v.8 no.5
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    • pp.47-58
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    • 2008
  • Spatial structure is an appropriate shape that resists external force only with in-plane force by reducing the influence of bending moment, and it maximizes the effectiveness of structural system. With this character of the spatial structure, generally long span is used. As a result, large deflection is accompanied from the general frame. the structure is apt to result in a large deflection even though this structure experiences a small displacement in absence. Usually, nonlinear analysis in numerical analysis means geometric nonlinearity and material nonlinearity and complex nonlinearity analysis considers both of them. In this study, nonlinear equation of equilibrium considering geometric nonlinearity as per finite element method was applied and also considered the material nonlinearity using the relation of stress-strain in element. It is applied to find unstable result for tracing load-deflection curve in the numerical analysis tech. especially Arc-length method, and result of the analysis was studied by ABAQUS a general purpose of the finite element program. It is found that the present analysis predicts accurate nonlinear behavior of plane and space truss.

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