• 제목/요약/키워드: Nonlinear Dynamics

검색결과 1,261건 처리시간 0.035초

신경회로망 및 Backstepping 기법을 이용한 비선형 적응 비행제어 (Nonlinear Adaptive Flight Control Using Neural Networks and Backstepping)

  • 이태영;김유단
    • 제어로봇시스템학회논문지
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    • 제6권12호
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    • pp.1070-1078
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    • 2000
  • A nonlinear adaptive flight control system is proposed using a backstepping controller with neural network controller. The backstepping controller is used to stabilize all state variables simultaneously without the two-timescale assumption that separates the fast dynamics, involving the angular rates of the aircraft, from the slow dynamics which includes angle of attack, sideslip angle, and bank angle. It is assumed that the aerodynamic coefficients include uncertainty, and an adaptive controller based on neural networks is used to compensate for the effect of the aerodynamic modeling error. It is shown by the Lyapunov stability theorem that the tracking errors and the weights of neural networks exponentially converge to a compact set. Finally, nonlinear six-degree-of-freedom simulation results for an F-16 aircraft model are presented to demonstrate the effectiveness of the proposed control law.

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시간지연제어기법을 이용한 수중로봇의 궤적 제어 (Trajectory Control of Underwater Robot using Time Delay Control)

  • 박준영;조병학;이재경
    • 대한기계학회논문집A
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    • 제32권8호
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    • pp.685-692
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    • 2008
  • In this paper, the trajectory control problem of an underwater robot is addressed. From the viewpoint of control engineering, trajectory control of the underwater robot is not an easy task due to its nonlinear dynamics, which includes various hydraulic forces such as buoyancy forces and hydrodynamic damping, the difference between the centers of buoyancy and gravity, and disturbances from a tether cable. To solve such problems, we applied Time Delay Control to the underwater robot. This control law has a very simple structure not requiring the nonlinear plant dynamics, and was proven to be highly robust against disturbances and uncertainties. We confirmed its effectiveness through experiments.

상태변수 종속 불확실성이 포함된 다입력 비선형 계통에 대한 전역 안정성이 보장되는 견실한 적응 퍼지 제어기 설계 (A design of a robust adaptive fuzzy controller globally stabilizing the multi-input nonlinear system with state-dependent uncertainty)

  • 박영환;박귀태
    • 제어로봇시스템학회논문지
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    • 제2권4호
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    • pp.297-305
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    • 1996
  • In this paper a novel robust adaptive fuzzy controller for the nonlinear system with state-dependent uncertainty is proposed. The conventional adaptive fuzzy controller determines the function of state variable bounding the state-dependent uncertain term in the system dynamics on the local state space by off-line calculation. Whereas the proposed method determines that function by the fuzzy inference so that it guarantees the stability of the closed loop system globally on the whole state space. In addition, the method is applicable to the multi-input system. We applied the proposed method to the Burn Control of the Tokamak fusion reactor whose dynamics contains the state-dependent uncertainty and proved the effectiveness of the scheme by using the simulation results.

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유사변환기법을 이용한 비선형 회전식 역진자의 적응형 상태궤환 제어시스템: 실시간 실험 구현 (Adaptive State Feedback Control for Nonlinear Rotary Inverted Pendulum System using Similarity Transformation Method: Implementation of Real-Time Experiment)

  • 조현철;이영진;이권순;구경완
    • 전기학회논문지P
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    • 제58권2호
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    • pp.130-135
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    • 2009
  • In recent years, researches on rotary inverted pendulum control systems have been significantly focused due their highly nonlinear dynamics and complicated geometric structures. This paper presents a novel control approach for such systems by means of similarity transformation theory. At first, we represent nonlinear system dynamics to the controllability-formed state space model including a time-varying parameter vector. We establish the state-feedback control configuration based on the transformed model and derive an adaptive control law for adjusting desired characteristic equation. Numerical analysis is achieved to evaluate our control method and demonstrate its superiority by comparing it to the traditional control strategy. Furthermore, real-time control experiment is carried out to test its practical reliability.

복사 열손실을 받는 대향류 확산화염의 맥동 불안정성의 비선형 거동 (Nonlinear Behaviors of Pulsating Instabilities in Counterflow Diffusion Flames with Radiation Heat Loss)

  • 이수룡;박성천
    • 한국연소학회지
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    • 제17권3호
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    • pp.9-16
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    • 2012
  • Nonlinear dynamics of pulsating instability in radiating counterflow diffusion flames is numerically investigated by imposing Damk$\ddot{o}$hler number perturbation. Stable limit-cycle solutions occur in small ranges of Damk$\ddot{o}$hler numbers past bifurcation point of instability. Period doubling cascade and chaotic behaviors appear just before dynamic extinction occurs. Nonlinear dynamics is also studied when large disturbances are imposed to flames. For weak steady flames, the dynamic extinction range shrinks as the magnitudes of disturbances are increased. However, strong steady flames can overcome relatively large disturbances, thereby the dynamic extinction range extending. Stable limit-cycle behaviors reappears prior to dynamic extinction when the steady flames are strong enough.

An Adaptive Fuzzy Sliding Mode Controller for Robot Manipulators

  • Seo, Sam-Jun;Park, Gwi-Tae;Kim, Dongsik
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2001년도 ICCAS
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    • pp.162.1-162
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    • 2001
  • In this paper, the adaptive fuzzy system is used as an adaptive approximator for robot nonlinear dynamic. A theoretical justification for the adaptive approximator is proving that if the representive point(RP or switching function) and its derivative in sliding mode control are used as the inputs of the adaptive fuzzy system, the adaptive fuzzy system can approximate robot nonlinear dynamics in the neighborhood of the switching surface. Thus the fuzzy controller design is greatly simplified and at the same time, the fuzzy control rule can be obtained easily by the reaching condition. Based on this, a new method for designing an adaptive fuzzy control system based on sliding mode is proposed for the trajectory tracking control of a robot with unknown nonlinear dynamics.

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유체가 이송하는 테더가 있는 인공위성의 동특성 분석 (Nonlinear Dynamic Analysis of a Satellite with Tether Conveying Fluid)

  • 정원영;이규호;정진태
    • 한국소음진동공학회논문집
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    • 제21권8호
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    • pp.691-697
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    • 2011
  • The purpose of this study is to analyze nonlinear dynamics of a tethered satellite. The coupled non-linear equations of motion are derived by using the extended Hamilton's principle with the polar coordinate system. In order to analyze the response of tethered satellite, time responses are computed by the Newmark's time integration method. We also investigate the dynamic behavior of the system and the effects of length of tether, tip mass and conveyed fluid through the tether with time variation.

Robust Stabilization of Decentralized Dynamic Surface Control for a Class of Interconnected Nonlinear Systems

  • Song, Bong-Sob
    • International Journal of Control, Automation, and Systems
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    • 제5권2호
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    • pp.138-146
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    • 2007
  • The analysis and design method for achieving robust stabilization of Decentralized Dynamic Surface Control (DDSC) is presented for a class of interconnected nonlinear systems. While a centralized design approach of DSC was developed in [1], the decentralized approach to deal with large-scale interconnected systems is proposed under the assumption that interconnected functions among subsystems are unknown but bounded. To provide a closed-loop form with provable stability properties, augmented error dynamics for N nonlinear subsystems with DDSC are derived. Then, the reachable set for errors of the closed-loop systems will be approximated numerically in the form of an ellipsoid in the framework of convex optimization. Finally, a numerical algorithm to calculate the $L_2$ gain of the augmented error dynamics is presented.

AFM 마이크로캔틸레버의 나노 비선형 동역학 (Nanoscale Nonlinear Dynamics on AFM Microcantilevers)

  • 이수일;홍상혁;이장무
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.1560-1565
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    • 2003
  • Tapping mode atomic force microscopy (TM-AFM) utilizes the dynamic response of a resonating probe tip as it approaches and retracts from a sample to measure the topography and material properties of a nanostructure. We present recent results based on nonlinear dynamical systems theory, computational continuation techniques and detailed experiments that yield new perspectives and insight into AFM. A dynamic model including van der Waals and Derjaguin-Muller-Toporov (DMT) contact forces demonstrates that periodic solutions can be represented with respect to the approach distance and excitation frequency. Turning points on the surface lead to hysteretic amplitude jumps as the tip nears/retracts from the sample. Experiments are performed using a tapping mode tip on a graphite sample to verify the predictions.

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백스테핑 기법을 이용한 적응 비선형 제어기 설계에 관한 연구 (A Study on the Design of Adaptive Nonlinear Controller using Backstepping Technique)

  • 김민수;현근호;이형찬;양해원
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1998년도 하계학술대회 논문집 B
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    • pp.588-591
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    • 1998
  • In this paper, we present a robust adaptive backstepping output feedback controller for nonlinear systems perturbed by unmodelled dynamics and disturbances. Especially, backstepping technique with modular approach is used to separately design controller and identifier. The design of identifier is based on the observer-based scheme which possesses a strict passivity property of observer error system. We will use Switching-${\sigma}$ modification at the update law and the modified control law to attenuate the effects of undodelled dynamics and disturbances for nonlinear systems.

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