• Title/Summary/Keyword: second differential

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Fuzzy Modeling and Control of Differential Driving Wheeled Mobile Robot: To Achieve Performance Objective

  • Kang, Jin-Shig
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.3 no.2
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    • pp.166-172
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    • 2003
  • The dynamics of the DDWMR depends on the velocity difference of the two driving wheels. And which is known as a type of non-holonomic equation. By this reason, the treatment of DDWMR had become difficult and conservative. In this paper, the differential-driving wheeled mobile robot is considered. The Takaki-Surgeno fuzzy model and a control method for DDWMR is presented. The suggested controller has three control elements. The first element is fuzzy state feedback designed for eliminating the dependence of time-varying parameter. The second element is weighting controller which is designed for good frequency response. The third controller is PI-controller which is designed for good command following and robustness with un-modeled dynamics. In order for achieving the performance objective, the design of controller is based on the loop-shaping algorithm.

Transient and Stationary Analyses of the Surplus in a Risk Model

  • Cho, Eon Young;Choi, Seung Kyoung;Lee, Eui Yong
    • Communications for Statistical Applications and Methods
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    • v.20 no.6
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    • pp.475-480
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    • 2013
  • The surplus process in a risk model is stochastically analyzed. We obtain the characteristic function of the level of the surplus at a finite time, by establishing and solving an integro-differential equation for the distribution function of the surplus. The characteristic function of the stationary distribution of the surplus is also obtained by assuming that an investment of the surplus is made to other business when the surplus reaches a sufficient level. As a consequence, we obtain the first and second moments of the surplus both at a finite time and in an infinite horizon (in the long-run).

Free vibration analysis of moderately-thick and thick toroidal shells

  • Wang, X.H.;Redekop, D.
    • Structural Engineering and Mechanics
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    • v.39 no.4
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    • pp.449-463
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    • 2011
  • A free vibration analysis is made of a moderately-thick toroidal shell based on a shear deformation (Timoshenko-Mindlin) shell theory. This work represents an extension of earlier work by the authors which was based on a thin (Kirchoff-Love) shell theory. The analysis uses a modal approach in the circumferential direction, and numerical results are found using the differential quadrature method (DQM). The analysis is first developed for a shell of revolution of arbitrary meridian, and then specialized to a complete circular toroidal shell. A second analysis, based on the three-dimensional theory of elasticity, is presented to cover thick shells. The shear deformation theory is validated by comparing calculated results with previously published results for fifteen cases, found using thin shell theory, moderately-thick shell theory, and the theory of elasticity. Consistent agreement is observed in the comparison of different results. New frequency results are then given for moderately-thick and thick toroidal shells, considered to be completely free. The results indicate the usefulness of the shear deformation theory in determining natural frequencies for toroidal shells.

Phase-change Temperature of Micro-encapsulated Phase-change Material (미립 피복 상변화 물질의 상변화 온도에 대한 연구)

  • 최은수
    • Korean Journal of Air-Conditioning and Refrigeration Engineering
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    • v.14 no.2
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    • pp.168-174
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    • 2002
  • In order to obtain a new heat transfer fluid having a high thermal capacity, micro-capsules of a phase-change material can be a successful candidate to be added into water. In this study, 25, 50, 100, and $200\mu$m diameter micro-encapsulated Lauric acids were tested by a differential scanning calorimeter. The Lauric acid itself had a single freezing curve, but the micro-encapsulated Lauric acid had double freezing curves. The second freezing dominated for $25\mu$m diameter Lauric acids. But the first freeing energy became big as the size of the capsule increased.

On the transmission of QAM signal using differential encoding in wireless channel (무선전송 채널에서 Differenctial encoding을 이용한 QAM 신호의 전송에 관한연구)

  • 김희구;윤두만;오동진;김철성
    • Journal of the Korean Institute of Telematics and Electronics A
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    • v.33A no.4
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    • pp.1-10
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    • 1996
  • As the demand for high-speed and wirelesstransmission of information is rapidly increasing, spectrally efficient digiral radio modulation and demodulation scheme is preferred. In this paper, we have studied the signal generation, demodulation and performance evaluation of spectrally efficient QAM signals in a wireless channel environment. We propose differential modulation and demodulation scheme for QAM in rayleigh fading channel. First, formulas for theerror probability of proposed QAM scheme are derived over QWGN channel. Second, we evaluate the performance of the proposed QAM scheme in rayleigh fading environment through computer simulation, and confirm that it shows much better performance compared to that of conventional QAM scheme.

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Protective Relaying Algorithm for 3-Phase Power Transformer Protection based on Fuzzy Decision Making

  • Kim, Sang-Tae;Lee, Seung-Jae;Kang, Sang-Hee;Park, Myeon-Song;Yoon, Sang-Hyun;Lee, Tae-Sung
    • KIEE International Transactions on Power Engineering
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    • v.12A no.1
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    • pp.26-30
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    • 2002
  • The four fuzzy criteria to distinguish the internal fault from the inrush fur the power transformer protection have been identified. They are based on the wave shape, terminal voltage, fundamental and second harmonic component of differential current. systematic way to determine the associated fuzzy membership function is also proposed.

Control of a Biped Walking Robot using ZMP Formulation (균형점 정형화를 이용한 이족보행로봇 제어)

  • Lim, Sun-Ho;Kim, Jin-Geol
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.48 no.8
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    • pp.1022-1030
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    • 1999
  • This paper is concerned with the balancing motion formulation and the control of ZMP (zero moment point) for a biped walking robot with balancing joints. The balancing equation of a biped robot can be modeled as the second order non-homogeneous differential equation, which makes it possible to plan the desired trajectories for various gaits or motions. Also, the balancing motion can be defined easily by solving the differential equation without pre-processing or heuristic procedures. The actual experiments are performed on biped walking robot system IWR-III, developed in our Automatic Control Lab. The system has the structure of three pitches in each leg, and one roll and one prismatic type in balancing joints. The walking simulations and the experimental results on IWR-III are shown using the proposed formula and control algorithm.

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Frequency/Amplitude Separation Algorithm Using the Higher Order Differential Energy Operator and Its Application (고차의 미분에너지함수를 이용한 주파수 및 진폭성분 추출 알고리즘과 응용)

  • Iem, Byeong-Gwan
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.56 no.8
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    • pp.1498-1502
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    • 2007
  • There have been many different definitions of energy functions as the second statistics of a signal. In this paper, using the higher order differential energy function, we propose an algorithm separating the amplitude and frequency components in a discrete sinusoidal signal. The proposed amplitude and frequency estimation methods have less computational requirement than the existing methods. It also shows large computational advantage over the root mean square (RMS) calculation of a signal. The proposed methods can be used in the detection of abnormal events in signals on the power line. Computer simulations show that proposed frequency estimation method can detect the presence of voltage increase or decrease for a short period of time. Also, the proposed estimation methods have been compared with existing methods in terms of estimation error variance.

HELICOIDAL MINIMAL SURFACES IN A CONFORMALLY FLAT 3-SPACE

  • Araujo, Kellcio Oliveira;Cui, Ningwei;Pina, Romildo da Silva
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.2
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    • pp.531-540
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    • 2016
  • In this work, we introduce the complete Riemannian manifold $\mathbb{F}_3$ which is a three-dimensional real vector space endowed with a conformally flat metric that is a solution of the Einstein equation. We obtain a second order nonlinear ordinary differential equation that characterizes the helicoidal minimal surfaces in $\mathbb{F}_3$. We show that the helicoid is a complete minimal surface in $\mathbb{F}_3$. Moreover we obtain a local solution of this differential equation which is a two-parameter family of functions ${\lambda}_h,K_2$ explicitly given by an integral and defined on an open interval. Consequently, we show that the helicoidal motion applied on the curve defined from ${\lambda}_h,K_2$ gives a two-parameter family of helicoidal minimal surfaces in $\mathbb{F}_3$.

Numerical method to determine the elastic curve of simply supported beams of variable cross-section

  • Biro, Istvan;Cveticanin, Livija;Szuchy, Peter
    • Structural Engineering and Mechanics
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    • v.68 no.6
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    • pp.713-720
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    • 2018
  • In this paper a new numerical method to determine the elastic curve of the simply supported beams of variable cross-section is demonstrated. In general case it needs to solve linear or small nonlinear second order differential equations with prescribed boundary conditions. For numerical solution the initial values of the slope and the deflection of the end cross-section of the beam is necessary. For obtaining the initial values a lively procedure is developed: it is a special application of the shooting method because boundary value problems can be transformed into initial value problems. As a result of these transformations the initial values of the differential equations are obtained with high accuracy. Procedure is applied for calculating of elastic curve of a simply supported beam of variable cross-section. Results of these numerical procedures, analytical solution of the linearized version and finite element method are compared. It is proved that the suggested procedure yields technically accurate results.