• Title/Summary/Keyword: Error Dynamics

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Optimal motion control for robot manipulators

  • Shin, Jin-Ho;Lee, Ju-Jang
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10b
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    • pp.179-184
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    • 1993
  • In this paper, an optimal motion control scheme is proposed for robot manipulators. A simple explicit solution to the Hamilton-Jacobi equation is presented. The optimization of motion control is based on the mininization of the torque term affecting the kinetic energy and the augmented error which has the first-order stable dynamics for the position and velocity tracking error. In the presence of parametric uncertainty, an adaptive control scheme using the optimal principle is proposed. The global stability of the closed-loop system is guaranteed by the Lyapunov stability approach, The effectiveness and feasibility of the proposed control schemes are shown by simulation results.

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Tension Control in a Nonlinear Web Transfer System (비선형 웹 이송 시스템의 장력 제어)

  • 윤석찬
    • Journal of the Korean Society of Manufacturing Technology Engineers
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    • v.9 no.5
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    • pp.65-72
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    • 2000
  • This paper presents the study of the tension control in a web transfer system. In this study the sliding mode controller is applied to a time-varying nonlinear mathematical model. The model was derived to consider the effects of changing the roll radius in tension variation during winding and unwinding. The uncertainty in modeling may be due to unmodelled dynamics, on variations in system model. Designed sliding mode controller made the system error always staying in the suggested surface from the beginning. Through this, system is maintained to be robust against a disturbance and uncertainty. To verify the designed controller has a good performance, various inputs such as desired velocity, step input, and trapezoidal input are applied. When the sliding mode controller was used, the system(the tension control) performance was improved comparing to the PID controller. The robustness of the controller with respect to an estimation error was verified through simulations.

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A Study on the Spindle Run-out Effects on Cutter Mark and Surface Roughness (주축 런아웃이 절삭흔과 표면거칠기에 미치는 영향에 관한 연구)

  • Hwang, Young-Kug;Lee, Choon-Man
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.16 no.2
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    • pp.84-91
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    • 2007
  • The radial error motion of a machine tool cutter/spindle system is critical to the dimensional accuracy of the parts to be machined. This paper presents an investigation into spindle run-out effects on cutting mark and surface roughness. We experimented the effects of spindle run-out on surface roughness in flat-end milling by cutting AL 7075 workpiece in various cutting conditions. In order to analyze the effects of run-out on the surface roughness, the spindle's radial error motions was measured by mounting a sphere target onto the spindle as a reference. From the experimental results, it was found that spindle un-out makes a directive effects on surface roughness in flat-end milling.

Robust Kalman Filtering with Perturbation Estimation Process-for Uncertain Systems (섭동 추정 프로세스를 이용한 불확실 시스템에 대한 강인 칼만 필터링 기법)

  • Kwon Sang-Joo
    • Journal of Institute of Control, Robotics and Systems
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    • v.12 no.3
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    • pp.201-207
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    • 2006
  • A robust Kalman filtering method for uncertain stochastic systems is suggested by adopting a perturbation estimation process which is to reconstruct total uncertainty with respect to the nominal state transition equation. The predictor and corrector of discrete Kalman filter are reformulated with the perturbation estimator. Successively, the state and perturbation estimation error dynamics and the corresponding error covariance propagation equations are derived as well. Finally we have the recursive algorithm of Combined Kalman Filter-Perturbation Estimator (CKF). The proposed combined Kalman filter-perturbation estimator has the property of integrating innovations and the adaptation capability to system uncertainties. A numerical example is shown to demonstrate the effectiveness of the proposed scheme.

Model Reference Adaptive Control of a Flexible Structure

  • Yang, Kyung-Jinn;Hong, Keum-Shik;Rhee, Eun-Jun;Yoo, Wan-Suk
    • Journal of Mechanical Science and Technology
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    • v.15 no.10
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    • pp.1356-1368
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    • 2001
  • In this paper, the model reference adaptive control (MRAC) of a flexible structure is investigated. Any mechanically flexible structure is inherently distributed parameter in nature, so that its dynamics are described by a partial, rather than ordinary, differential equation. The MRAC problem is formulated as an initial value problem of coupled partial and ordinary differential equations in weak form. The well-posedness of the initial value problem is proved. The control law is derived by using the Lyapunov redesign method on an infinite dimensional filbert space. Uniform asymptotic stability of the closed loop system is established, and asymptotic tracking, i. e., convergence of the state-error to zero, is obtained. With an additional persistence of excitation condition for the reference model, parameter-error convergence to zero is also shown. Numerical simulations are provided.

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Robust Trajectory Control of Direct Drive Manipulator based on combining H$\infty$ Controller and Computed Torque Method (구동력 계산법 및 H$\infty$제어를 병용한 직접구동방식 머니퓰레이터의 퀘적제어)

  • Kim, C.K.;Kang, B.S.;Kwak, Y.K.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.10
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    • pp.123-129
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    • 1996
  • Computed torque method has been used for precise trajectory control of the robotic system that involves nonlinear dynamics. It is hard to know exact values of robot system parameters, and the robot arm receives umpredictable interference from the working environment. These disturbances, especially in a direct drive robot, are directly transmitted to actuating motor without reduction. Modelling error and distrubance can cause significant errors in a trajectory tracking problem. In this paper, we propose a new controller that $H_{\infty}$controller is conbined to robot system linearized by computed torque. Simula- tions are made for comparing the performance of the proposed controller with that of a nonlinear $H_{\infty}$ controller proposed by Chen and also computed torque method.hod.

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Influence of Topography Resolution on Atmospheric Flow Simulation (대기유동장 수치모의 시 지형해상도의 영향)

  • Woo, Sang-Woo;Kim, Hyun-Goo
    • 한국신재생에너지학회:학술대회논문집
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    • 2009.06a
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    • pp.455-457
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    • 2009
  • The purposes of this study are to consider the influence of topography resolution on atmospheric flow simulation and to suggest a method of atmospheric flow simulation using a low-resolution DEM. Simulations using a low-resolution DEM has more critical error at near surface than simulations using high-resolution DEM because it is ignored the small curve topography of high-resolution DEM. Therefore when we convert the height differences between low-resolution DEM and high-resolution DEM into the topography roughness, we can be able to reduce the error on atmospheric flow simulations.

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Nonlinear Observer Design for Satellite Angular Rate Estimation by SDRE Method (SDRE 기법을 이용한 위성 각속도 추정용 비선형 관측기 설계)

  • Jin, Jaehyun
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.42 no.10
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    • pp.816-822
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    • 2014
  • The estimation of the angular rate of a satellite has been discussed. A nonlinear observer has been proposed based on the state-dependent Riccati equation method. A sufficient stability condition for the convergence of estimation error has been presented. This condition is related to a state-dependent algebraic Riccati equation. It has been derived by transforming nonlinear error dynamics into a Lipschitz nonlinearity. An observer gain is obtained from this condition. Numerical simulations are presented to verify the proposed method.

Design and implementation of a dynamic controller for Hong-Ik Direct Drive Arm (홍익 직접 구동팔의 동적 제어기 개발)

  • 이재완;이종수;최경삼
    • 제어로봇시스템학회:학술대회논문집
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    • 1993.10a
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    • pp.1052-1057
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    • 1993
  • A scara type Direct Drive Arm(DDA) with two degrees-of-freedom is designed and implemented. The direct drive motor is used to furnish large torque to reduce the modeling error by the gear and chains. To control the DDA, a multiprocessor control structure with multirate dynamic control algorithm is designed. In the control algorithm, the dynamics of system is used to calculate the nominal control torque and the feedback controls are calculated with a parallel processing algorithm for each joint. The laboratory experiments on Hong-Ik DDA by dynamic control algorithm are presented and compared to that of PID control algorithm. This result shows that the proposed controller guarantees small trajectory error and stability. With this research, Hong-Ik DDA is expected to be utilized as A basic tool for robotics and control engineering.

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Robust estimator design for the forward kinematics solution of stewart platform (스튜어트 플랫폼의 견실한 순기구학 추정기 설계)

  • 강지윤;김동환;이교일
    • 제어로봇시스템학회:학술대회논문집
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    • 1996.10b
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    • pp.28-31
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    • 1996
  • We propose an estimator design method of Stewart platform, which gives the 6DOF, positions and velcities of Stewart platform from the measured cylinder length. The solution of forward kinematics is not solved yet as a useful realtime application tool because of the complexity of the equation with multiple solutions. Hence we suggest an nonlinear estimator for the forward kinematics solution using Luenberger observer with nonlinear error correction term. But the way of residual gain selection of the estimator is not clear, so we suggest an algebraic Riccati equation for gain matrix using Lyapunov method. This algorithm gives the sufficient condition of the stability of error dynamics and can be extended to general nonlinear system.

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