• 제목/요약/키워드: Lyapunov Theory

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Robust Sliding Mode Control for Path Tracking of Intelligent Mobile Robot

  • Jiangzhou, L-U;Xie Ming
    • 제어로봇시스템학회:학술대회논문집
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    • 2001.10a
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    • pp.109.1-109
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    • 2001
  • This paper deals with the path following problem of car-like intelligent mobile robot. A robust sliding mode control law based on time-varying state feedback is performed via Lyapunov method for path tracking of nonholonomic mobile robot with uncertainties. At first, A sliding control law is designed by combing the natural algebraic structure of the chained form system with ideas from sliding mode theory. Then, a robust control law is proposed to impose robustness against bounded uncertainties in path tracking. The problem of estimating the asymptotic stability region and the sliding domain of uncertain sliding mode system with bounded control input is also discussed. The proposed sliding mode control law can ensure the global reaching condition of the uncertain control system.

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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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On learning control of robot manipulator including the bounded input torque (제한 입력을 고려한 로보트 매니플레이터의 학습제어에 관한 연구)

  • 성호진;조현찬;전홍태
    • 제어로봇시스템학회:학술대회논문집
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    • 1988.10a
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    • pp.58-62
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    • 1988
  • Recently many adaptive control schemes for the industrial robot manipulator have been developed. Especially, learning control utilizing the repetitive motion of robot and based on iterative signal synthesis attracts much interests. However, since most of these approaches excludes the boundness of the input torque supplied to the manipulator, its effectiveness may be limited and also the full dynamic capacity of the robot manipulator can not be utilized. To overcome the above-mentioned difficulties and meet the desired performance, we propose an approach which yields the effective learning control schemes in this paper. In this study, some stability conditions derived from applying the Lyapunov theory to the discrete linear time-varying dynamic system are established and also an optimization scheme considering the bounded input torque is introduced. These results are simulated on a digital computer using a three-joint revolute manipulator to show their effectiveness.

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A Fuzzy Adaptive Sliding Mode Controller for Tracking Control of Robotic Manipulators (로봇 매니퓰레이터의 추적 제어를 위한 퍼지 적응 슬라이딩 모드 제어기)

  • Le, Tien Dung;Kang, Hee-Jun
    • Journal of Institute of Control, Robotics and Systems
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    • v.18 no.6
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    • pp.555-561
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    • 2012
  • This paper describes the design of a fuzzy adaptive sliding mode controller for tracking control of robotic manipulators. The proposed controller incorporates a modified traditional sliding mode controller to drive the system state to a sliding surface and then keep the system state on this surface, and a fuzzy logic controller to accelerate the reaching phase. The stability of the control system is ensured by using Lyapunov theory. To verify the effectiveness of the proposed controller, computer simulation is conducted for a five-bar planar robotic manipulator. The simulation results show that the proposed controller can improve the reaching time and eliminate chattering of the control system at the same time.

Development of the Pneumatic Service Robot with a Hybrid Type (하이브리드형의 공압 서비스 로봇의 개발)

  • Choi, Cheol-U;Choi, Hyeun-Seok;Han, Chang-Soo
    • Proceedings of the KSME Conference
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    • 2001.11a
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    • pp.686-691
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    • 2001
  • In this paper, the pneumatic service robot with a hybrid type is developed. A pneumatic has the advantage of good compliance, high payload-to-weight and payload-to-volume ratios, high speed and force capabilities. Using pneumatic actuators which have low stiffness, the service robot can guarantee safety. By suggesting a new serial-parallel hybrid type for the service robot which separates into positioning motion and orienting motion, we can achieve large workspace and high strength-to-moving-weight ratio at the same time. A sliding mode controller can be designed for tracking the desired output using the Lyapunov stability theory and structural properties of pneumatic servo systems. Through many experiments of circular trajectory, the pneumatic service robot is evaluated and verified.

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Chaotic Analysis of Multi-Sensor Signal in End-Milling Process (엔드밀가공시 복합계측 신호에 의한 공구 마멸의 카오스적 해석)

  • 구세진;이기용;강명창;김정석
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1997.04a
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    • pp.817-821
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    • 1997
  • Ever since the nonlinearity of machine tool dynamics was established, researchers attempted to make use of this fact to devise better monitoring, diagnostics and system, which were hitherto based on linear models. Theory of chaos, which explains many nonlinear phenomena comes handy for furthering the analysis using nonlinear model. In this study, measuring system will be constructed using multi-sensor (Tool Dynamometer, Acoustic Emission) in end millingprocess. Then, it will be verified that cutting force is low-dimensional deterministic chaos calculating Lyapunov exponents, Fractal dimension, Embedding dimension. Aen it will be investigated that the relations between characteristic parameter caculated form sensor signal and tool wear.

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Design of a Multiobjective Robust Controller for the Track-Following System of an Optical Disk Drive (광 디스크 드라이브의 트랙킹 서보 시스템을 위한 다목적 강인 제어기의 설계)

  • 이문노;문정호;정명진
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.5
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    • pp.592-599
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    • 1998
  • In this paper, we design a tracking controller which satisfies transient response specifications and maintains tracking error within a tolerable limit for the uncertain track-following system of an optical disk drive. To this end, a robust $H_{\infty}$ control problem with regional stability constraints and sinusoidal disturbance rejection is considered. The internal model principle is used for rejecting the sinusoidal disturbance caused by eccentric rotation of the disk. We show that a condition satisfying the regional stability constraints can be expressed in terms of a linear matrix inequality (LMI) using the Lyapunov theory and S-procedure. Finally, a tracking controller is obtained by solving an LMI optimization problem involving two linear matrix inequalities. The proposed controller design method is evaluated through an experiment.

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Robust Adaptive Control of Autonomous Robot Systems with Dynamic Friction Perturbation and Its Stability Analysis (동적마찰 섭동을 갖는 자율이동 로봇 시스템의 강인적응제어 및 안정성 해석)

  • Cho, Hyun-Cheol;Lee, Kwon-Soon
    • Journal of Institute of Control, Robotics and Systems
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    • v.15 no.1
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    • pp.72-81
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    • 2009
  • This paper presents a robust adaptive control method using model reference control strategy against autonomous robot systems with random friction nature. We approximate a nonlinear robot system model by means of a feedback linearization approach to derive nominal control law. We construct a Least Square (LS) based observer to estimate friction dynamics online and then represent a perturbed system model with respect to approximation error between an actual friction and its estimation. Model reference based control design is achieved to implement an auxiliary control in order for reducing control error in practice due to system perturbation. Additionally, we conduct theoretical study to demonstrate stability of the perturbed system model through Lyapunov theory. Numerical simulation is carried out for evaluating the proposed control methodology and demonstrating its superiority by comparing it to a traditional nominal control method.

Design of Sliding Mode Controller with a SIIM Fuzzy Logic Boundary Layer (간편 간접추론 퍼지논리 경계층을 갖는 슬라이딩 모드 제어기의 설계)

  • 채창현
    • Journal of the Institute of Electronics Engineers of Korea SC
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    • v.41 no.2
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    • pp.45-52
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    • 2004
  • The sliding mode controller with a boundary layer implemented by simplified indirect inference method (SIIM) fuzzy logic was proposed. The components of the sliding line function are used for the inputs of the SIIM fuzzy logic. The proposed control system is simple because there is no need to derive the sigmoid function and there are only four rules. The overall stability of the proposed system and the boundness of the tracking error are proved easily using the Lyapunov theory. We apply the proposed controller to control a nonlinear time-varying system. The computer simulation showed the validity of the proposed control system.

Adaptive Control of Flexible Robot Actuators with Time-Varying Parameters (시변 파라미터 특성을 갖는 유연한 로봇 엑츄에이터의 적응제어)

  • Park, Ji-Ho;Cho, Hyun-Cheol
    • The Transactions of the Korean Institute of Electrical Engineers P
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    • v.57 no.3
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    • pp.250-254
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    • 2008
  • Robot actuators are significantly important with respect to whole control system performance. This paper presents an adaptive control approach for flexible robot actuators with time-varying spring and damping nature. We first represent a perturbed system model with assumption that its information are partially known. Nominal model reference control method is employed for deriving our adaptive control law. We carry out numerical simulation to evaluate the proposed control system and compare simulation results to a well-known control method for demonstrating its effectiveness.