• Title/Summary/Keyword: Nonlinear differential system

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Design of a Servo Controller for Antilock Brake Systems Based on the Automotive Tire Model (차륜 모델에 기초한 차량 ABS의 서보 제어기 설계)

  • Hwang, I-Cheol
    • Journal of Power System Engineering
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    • v.19 no.3
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    • pp.42-47
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    • 2015
  • This paper studies on the design of a servo controller for an antilock brake system(ABS) based on the car tire model. First, a nonlinear differential equation of the car tire is constructed and its linearization model is obtained by Taylor's series. Second, a servo controller based on the mathematical model is analytically designed to obtain the maximum brake force, where the tire velocity and the slip ratio of car tire are respectively controlled to the given command values. Third, it is theoretically shown that the proposed control algorithm has good usefulness in ABS.

Evaluation of Vehicle Stability Control System Using Driving Simulator (주행 시뮬레이터를 이용한 차량 안정성 제어기의 성능 검증)

  • 정태영;이건복;이경수
    • Transactions of the Korean Society of Automotive Engineers
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    • v.12 no.4
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    • pp.139-145
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    • 2004
  • This paper presents human-in-the-loop evaluations of vehicle stability control(VSC) system using a driving simulator. A driving simulator which contains full vehicle nonlinear model is evaluated by using actual vehicle test data on the same driving conditions. Braking control inputs for Vehicle Stability Control system have been directly derived from the sliding control law based on vehicle planar motion equations with differential braking. Closed-loop simulation results at realistic driving situations have shown that the proposed controller reduces driving effort of a driver and enhances stability of a vehicle.

NONLINEAR ANALYSIS OF SELF-EXCITED VIBRATION IN WHEELED TRACTOR VEHICLE'S DRIVELINE

  • Li, X.H.;Zhang, J.W.;Zeng, C.C.
    • International Journal of Automotive Technology
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    • v.7 no.5
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    • pp.535-545
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    • 2006
  • A nonlinear analysis of torsional self-excited vibration in the driveline system for wheeled towing tractors was presented, with a 2-DOF mathematical model. The vibration system was described as a second-order ordinary differential equation. An analytical approach was proposed to the solution of the second-order ODE. The mathematical neighborhood concept was used to construct the interior boundary and the exterior boundary. The ODE was proved to have a limit cycle by using $Poincar\'{e}-Bendixson$ Annulus Theorem when two inequalities were satisfied. Because the two inequalities are easily satisfied, the self-excited vibration is inevitable and even the initial slip rate is little. However, the amplitude will be almost zero when the third inequality is satisfied. Only in a few working modes of the towing tractor the third inequality is not satisfied. It is shown by experiments that the torsional self-excited vibration in the driveline of the vehicle is obvious.

Film Thickness Dependences of Ac High Field Dissipation Current Waveform for LDPE (저밀도 폴리에틸렌에 있어서 전압 파형의 두께 의존성)

  • Yun, Ju-Ho;Choi, Yong-Sung;Moon, Jong-Dae;Lee, Kyung-Sup
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
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    • 2007.11a
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    • pp.349-350
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    • 2007
  • Polyethylene is widely used as the insulator for power cable. To investigate the conduction mechanism for power cable insulation under ac high field, it is very important to acquire the dissipation current under actual running field. Recently, we have developed the unique system, which make possible to observe the nonlinear dissipation current waveform. In this system, to observe the nonlinear properties with high accuracy, capacitive current component is canceled by using inverse capacitive current signal instead of using the bridge circuit for canceling it. As the results of these estimations, it was found that the dissipation current will depend on not only the instantaneous value of electric field but also the time differential of applied electric field due to taking a balance between applied field and internal field. Furthermore, two large peaks of dissipation current for each half cycle were observed under certain condition. In this paper, to clarify the reason why it shows two peaks for each half cycle, the film thickness dependences of dissipation current waveforms were observed by using the three different thickness LDPE films.

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WAETER LEVEL CONTROL USING Z-80 MICROOMPUTER

  • Sugisaka, Masanori
    • 제어로봇시스템학회:학술대회논문집
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    • 1991.10b
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    • pp.1899-1903
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    • 1991
  • This paper presents a water level control method using Z-80 microcomputer. The process considered in this paper is one tank system which is described by an unknown nonlinear differential equation. The water level is measured by the end of bar installed at a float passing through 8 pair of photointerrupters located at equal distance. Therefore, the input data to 8255 which is interface between Z-80 and photointerrupters is discrete value, namely, value under 1. values from 1 to 8, and value upper 8. The water is pumped into the tank from a reservoir by switching on a relay connected to a moter and pump driving system. The pumping is stopped by switching off the relay. Experimental studies for two types of controllers are performed in order to investigate the control performance of water level of the water pumping system.

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EPIDEMIOLOGICAL APPROACH TO THE SOUTH KOREAN BEEF PROTESTS WITH HIDDEN AGENDA

  • Do, Tae-Sug;Lee, Young-S.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.13 no.3
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    • pp.181-188
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    • 2009
  • Hundreds of thousands of South Korean protesters staged candlelight vigils and demonstrations against US beef imports in 2008. The problems, however, went far beyond that of beef imports. The political party veterans, who lost the presidential election, exploited labor unions that were discontent with the economy and ideological student groups to weaken the majority party. In this study, an epidemiological model is constructed with a system of three nonlinear differential equations. The model seeks to examine the dynamics of the system through stability analysis. Two threshold conditions that spread the protests are identified and a sensitivity analysis on the conditions is performed to isolate the parameters to which the system is most responsive. The results are also explored by deterministic simulations. This model can be easily modified to apply to other protests that may occur in various circumstances.

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Dynamic Behaviors of an Impact System under Randomly Perturbed Harmonic Excitation by the Path-Integral Solution Procedure (Path-Integral Solution을 이용한 랜덤동요된 조화가진력을 받는 임팩트시스템의 거동분석)

  • 마호성
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.17 no.1
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    • pp.83-91
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    • 2004
  • Nonlinear system responses of an impact system under randomly perturbed harmonic excitations are predicted in the probability domain by adopting the semi-analytical procedure previously developed. The semi-analytical procedure is obtained by solving the Fokker-Planck equation corresponding to the stochastic differential equation of the given impact system by utilizing the path-integral solution. The evolutionary joint probability density functions are generated by using the method, and the characteristics of nonlinear dynamic response behaviors of the system are examined. Noise effects on the responses are also examined. It Is found that the semi-analytical method can provides the accurate information of the responses via the joint probability functions for the impact system. It is found that the noises weaken and eventually terminate the chaos in the responses, but it is also found that the chaotic signatures reside in the presence of the external noise with relatively high intensity. The joint probability density function shows that the ensemble of the system responses are weakly stationary.

The Method for 3-D Localization of Implantable Miniaturized Telemetry Module by Analysis of Nonlinear Differential Equations (비선형 연립방정식에 의한 체내 삽입형 초소형 텔레메트리 모듈의 3차원 위치추적 방법)

  • Park, J.C.;Nam, H.W.;Park, H.J.;Song, B.S.;Won, C.H.;Lee, S.H.;Choi, H.C.;Cho, J.H.
    • Journal of Sensor Science and Technology
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    • v.12 no.6
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    • pp.249-257
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    • 2003
  • The bio-telemetry technologies, that use the wireless miniaturized telemetry module implanted in the human body and transmits several biomedical signal from inside to outside of the body, have been expected to solve the problem such as the patient's inconvenience and the limit for diagnosis. In the case of transceiver system using the wireless RF transmission method, the method of three-dimensional localization for implantable miniaturized telemetry module is necessary to detect the exact position of disease. A new method for three-dimensional localization using small loop antenna in the implantable miniaturized telemetry module was proposed in this paper. We proposed a method that can accurately determine the position of telemetry module by analyzing the differences in the strength of signal, which is received at each of the small size RF receiver array installed on the body surface.

Analysis of Xenon Flash Lamp Discharge System for Laser Excitation (레이저 발진용 세논기체 섬광관의 방전계통해석)

  • 김영권;이문기
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.5 no.3
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    • pp.25-30
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    • 1968
  • The characteristics of single mesh discharge circiut for Xenon flashlamp has been analysised in detail. Since flashlamp voltage characteristics is linear in time, though nonlinear in current, the nonliear differential equation , for this system has beens solved by the analog computer. Also for given lamp type, energy input, pulse duration, and pulse shape factor, the inductance, capacatince and operating voltage were discussed.

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A Leveling Algorithm for Strapdown Inertial Navigation System Using Extended Kalman Filter (화장칼만필터를 이용한 스티랩다운 관성항법시스템의 수평축 정렬 알고리즘)

  • Hong, Hyun-Su;Park, Chan-Gook;Han, Hyung-Seok;Lee, Jang-Gyu
    • Journal of Institute of Control, Robotics and Systems
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    • v.7 no.1
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    • pp.1231-1239
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    • 2001
  • This paper presents a new leveling algorithm that estimates the initial horizontal angles composed of roll angle and pitch angle for a moving or stationary vehicle. The system model of the EKF is designed by linearizing the nonlinear Euler angle differential equation. The measurement models are designed for the moving case and for the stationary case, respectively. The simulation results show that the leveling algorithm is ade-quate not only for acquiring the initial horizontal angles of the vehicle in the motion with acceleration and rotation but also for the stationary one.

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