• Title/Summary/Keyword: Nonlinear Dynamics

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Vibro-Contact Analysis of AFM Tip on Polymer Surface (폴리머 표면측정을 위한 AFM 팁의 접촉-진동 해석)

  • Hong, Sang-Hyuk;Lee, Soo-Il
    • 한국신재생에너지학회:학술대회논문집
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    • 2005.06a
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    • pp.538-541
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    • 2005
  • In tapping mode atomic force microscopy(TM-AFM). the vibro-contact response of a resonating tip is used to measure the nanoscale topology and other properties of a sample surface. However, the nonlinear tip-surface interact ions can affect the tip response and destabilize the tapping mode control. Especially it is difficult to obtain a good scanned image of high adhesion surfaces such as polymers and biomoleculars using conventional tapping mode control. In this study, theoretical and experimental investigations are made on the nonlinear dynamics and control of TM-AFM. To analyze the complex dynamics and control of the tapping tip, the classical contact models are adopted due to the surface adhesion. Also we report the surface adhesion is an additional important parameter to determine the control stability of TM-AFM. In addition, we prove that it is more adequate to use Johnson-Kendall-Roberts (JKR) contact model to obtain a reasonable tapping response in AFM for the soft and high adhesion samples.

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Unknown Parameter Identifier Design of Discrete-Time DC Servo Motor Using Artificial Neural Networks

  • Bae, Dong-Seog;Lee, Jang-Myung
    • Transactions on Control, Automation and Systems Engineering
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    • v.2 no.3
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    • pp.207-213
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    • 2000
  • This paper introduces a high-performance speed control system based on artificial neural networks(ANN) to estimate unknown parameters of a DC servo motor. The goal of this research is to keep the rotor speed of the DC servo motor to follow an arbitrary selected trajectory. In detail, the aim is to obtain accurate trajectory control of the speed, specially when the motor and load parameters are unknown. By using an artificial neural network, we can acquire unknown nonlinear dynamics of the motor and the load. A trained neural network identifier combined with a reference model can be used to achieve the trajectory control. The performance of the identification and the control algorithm are evaluated through the simulation and experiment of nonlinear dynamics of the motor and the load using a typical DC servo motor model.

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Simplified Nonlinear Control for Planar Motor based on Singular Perturbation Theory (특이섭동이론을 기반으로한 평판모터의 비선형 제어)

  • Seo, HyungDuk;Shin, Donghoon;Lee, Youngwoo;Chung, Chung Choo
    • The Transactions of The Korean Institute of Electrical Engineers
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    • v.64 no.2
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    • pp.289-296
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    • 2015
  • In this paper, we propose the nonlinear control based on singular perturbation theory for position tracking and yaw regulation of planar motor. Singular perturbation theory is characterized by the existence of slow and fast transients in the system dynamics. The proposed method consists of auxiliary control to decouple error dynamics. We develop model reduction with control input. Also, we derIve decoupled error dynamics with auxiliary input. The controller is designed in order to guarantee the desired position and yaw regulation without current feedback or estimation. Simulation results validate the effect of proposed method.

Extended implicit integration process by utilizing nonlinear dynamics in finite element

  • Mohammadzadeh, Saeed;Ghassemieh, Mehdi;Park, Yeonho
    • Structural Engineering and Mechanics
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    • v.64 no.4
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    • pp.495-504
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    • 2017
  • This paper proposes a new direct numerical integration algorithm for solving equation of motion in structural dynamics problems with nonlinear stiffness. The new implicit method's degree of accuracy is higher than that of existing methods due to the higher order of the acceleration. Two parameters are defined, leading to a new family of unconditionally stable methods, which helps to take greater time steps in integration and eliminate concerns about the duration of solving. The method developed can be utilized for a number of solid plane finite elements, examples of which are given to compare the proposed method with existing ones. The results indicate the superiority of the proposed method.

Robust Observer for Nonlinear Systems with Delayed Output (지연된 출력을 갖는 비선형 시스템의 강인 관측기)

  • Lee, Sungryul
    • Journal of the Institute of Electronics and Information Engineers
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    • v.50 no.7
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    • pp.253-257
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    • 2013
  • This paper proposes the robust observer design for nonlinear systems with delayed output and external disturbance. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the nonlinear error dynamics with time delay can be transformed into the linear one with time delay. Sufficient conditions for existence of a robust observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

Observer Design for Discrete-Time Nonlinear Systems with Output Delay (출력지연을 갖는 이산시간 비선형 시스템의 관측기 설계)

  • Lee, Sung-Ryul
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.49 no.3
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    • pp.26-30
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    • 2012
  • This paper presents the observer design method for discrete-time nonlinear systems with delayed output. It is shown that by considering a nonlinear term of error dynamics as an additional state variable, the discrete-time nonlinear error dynamics with time delay can be transformed into the discrete-time linear one with time delay. Sufficient conditions for existence of state observer are characterized by linear matrix inequalities. Finally, an illustrative example is given in order to show the effectiveness of our design method.

Neural-Net Based Nonlinear Adaptive Control for AUV

  • Li, Ji-Hong;Lee, Sang-Jeong;Lee, Pan-Mook
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.173.4-173
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    • 2001
  • This paper presents a stable nonlinear adaptive control for AUV(Autonomous Underwater Vehicle) by using neural network. AUV's dynamics are highly nonlinear, and their hydrodynamic coefficients vary with different operational conditions. In this paper, the nonlinear uncertainties of the AUV's dynamics are approximated by using LPNN(Linearly parameterized Neural Network). The presented controller is consist of three parallel terms; linear feedback control, sliding mode control, and adaptive control(LPNN). Lyapunov theory is used to guarantee the stability of tracking errors and neural network´s weights errors. Numerical simulations for nonlinear control of the AUV show the effectiveness of the proposed techniques.

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An Adaptive Fuzzy Control System for the Speed Control of the Autonomous Surface Vehicle with Nonaffine Nonlinear Dynamics (비-어파인 비선형 동특성을 갖는 무인 자율 이동 보트의 속도 제어를 위한 적응 퍼지 제어 계통)

  • Park, Young-Hwan;Lee, Jae-Kyung
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.1
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    • pp.1-6
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    • 2012
  • In this paper, an adaptive fuzzy control system is proposed for the speed control of the ASV (Autonomous Surface Vehicle) with nonaffine nonlinear system dynamics. We consider the turning speed of the screw propeller to be the control input instead of thrust so that we do not have to know the exact function between turning speed and thrust. But in this case, the ASV becomes a nonaffine nonlinear system because thrust is a nonlinear function of the turning speed. To solve this problem, we propose a Takagi-Sugeno fuzzy-model-based control system and simulation studies are performed. Simulation results show the effectiveness of the proposed control scheme.

Nonlinear Robust Control of Passenger Car Torque Converter Bypass Clutch (승용차용 토크컨버터 바이패스 클러치의 비선형 견실제어)

  • Han, Jin-Oh;Kang, Soo-Joon;Lee, Kyo-Il
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.27 no.8
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    • pp.1251-1258
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    • 2003
  • This paper presents a nonlinear robust approach to the slip control problem for a torque converter bypass clutch in a passenger car. The proposed nonlinear robust controller builds upon only the measurements avail-able from inexpensive sensors that are already installed in passenger cars for control. The issue of torque estimation problems for the implementation of the proposed controller is addressed. The stability of the internal dynamics is investigated, upon which a nonlinear robust controller is designed using input-output feedback linearization and Lyapunov redesign technique. The performance of the designed controller is validated by simulation studies.

Control of Chaotic Nonlinear Systems Using Radial Basis Function Networks (방사 기저 함수 회로망을 이용한 혼돈 비선형 시스템의 제어)

  • Kim, Keun-Bum;Choi, Yoon-Ho;Park, Jin-Bae
    • Proceedings of the KIEE Conference
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    • 1998.07b
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    • pp.569-571
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    • 1998
  • In this paper, a new method of conrolling chaotic nonlinear systems is proposed. Firstly, the dynamics of a chaotic nonlinear system is separated into a linear part and a nonlinear part. Secondly, the nonlinear part is approximated using a radial basis function network (RBFN) and canceled from the controlled system. Then, the resulting system has only the linear part added with very weak nonlinearity. Finally, a simple linear state feedback control law is designed for the linear part. In the meanwhile, a theorem justifying this concept is presented and proved. Comparing with the feedback linearization, the proposed method can be applied regardless of the functional form of the controlled dynamics. The proposed method is applied by simulation to the Duffing system and the Lorenz system and satisfactory results are obtained.

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