• Title/Summary/Keyword: linear dynamic systems

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Nonlinear Coupling Factor in Dynamic Model of Flexible Manipulator (유연 매니퓰레이터 동역학 모델링의 비선형 커플링 요소)

  • Lee Jin-Ho;Rhim Sung-Soo;Lee Soon-Geul
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2005.10a
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    • pp.404-408
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    • 2005
  • Having flexibility in a manipulator will degrade trajectory tracking control and manipulator tip positioning. In practice, however, constraints imposed by various operating requirements, will render the presence of such flexibility unavoidable. The dynamic analysis of the flexible manipulator is essential in designing proper control systems. A flexible manipulator consists of infinite number of elastic modes and the modes are usually coupled to each other. For the practicality, however, it is usually assumed that the flexible system consists of finite number of elastic modes and the modes are decoupled. These assumptions result in a linear and decoupled mathematical model of the flexible manipulator and simplify the analysis of the dynamic behavior and the design of the control system. The decoupling and linearization of the flexible link, however, has been assumed without in depth analysis. This paper focuses on the analysis of the significance of the non-linear coupling factors.

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Reproducibility of Electromyography Signal Amplitude during Repetitive Dynamic Contraction

  • Mo, Seung-Min;Kwag, Jong-Seon;Jung, Myung-Chul
    • Journal of the Ergonomics Society of Korea
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    • v.30 no.6
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    • pp.689-694
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    • 2011
  • Objective: The aim of this study is to evaluate the fluctuation of signal amplitude during repetitive dynamic contraction based on surface electromyography(EMG). Background: The most previous studies were considered isometric muscle contraction and they were difference to smoothing window length by moving average filter. In practical, the human movement is dynamic state. Dynamic EMG signal which indicated as the nonstationary pattern should be analyzed differently compared with the static EMG signal. Method: Ten male subjects participated in this experiment, and EMG signal was recorded by biceps brachii, anterior/posterior deltoid, and upper/lower trapezius muscles. The subject was performed to repetitive right horizontal lifting task during ten cycles. This study was considered three independent variables(muscle, amplitude processing technique, and smoothing window length) as the within-subject experimental design. This study was estimated muscular activation by means of the linear envelope technique(LE). The dependent variable was set coefficient of variation(CV) of LE for each cycle. Results: The ANOVA results showed that the main and interaction effects between the amplitude processing technique and smoothing window length were significant difference. The CV value of peak LE was higher than mean LE. According to increase the smoothing window length, this study shows that the CV trend of peak LE was decreased. However, the CV of mean LE was analyzed constant fluctuation trend regardless of the smoothing window length. Conclusion: Based on these results, we expected that using the mean LE and 300ms window length increased reproducibility and signal noise ratio during repetitive dynamic muscle contraction. Application: These results can be used to provide fundamental information for repetitive dynamic EMG signal processing.

Dynamic Output-Feedback Receding Horizon H$_{\infty}$ Controller Design

  • Jeong, Seung-Cheol;Moon, Jeong-Hye;Park, Poo-Gyeon
    • International Journal of Control, Automation, and Systems
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    • v.2 no.4
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    • pp.475-484
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    • 2004
  • In this paper, we present a dynamic output-feedback receding horizon $H_{\infty}$controller for linear discrete-time systems with disturbance. The controller is obtained numerically from the finite horizon output-feedback $H_{\infty}$optimization problem, which is, in fact, hardly solved analytically. Under a matrix inequality condition on the terminal weighting matrix, the monotonic decreasing property of the cost is shown. This property guarantees both the closed-loop stability and the $H_{\infty}$norm bound. Then, we extend the proposed design method to a reference tracking problem and a problem for time-varying systems. Numerical examples are given to illustrate the performance of the proposed controller.

Snap back testing of unbonded post-tensioned concrete wall systems

  • Twigden, Kimberley M.;Henry, Richard S.
    • Earthquakes and Structures
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    • v.16 no.2
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    • pp.209-219
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    • 2019
  • Unbonded Post-Tensioned (UPT) precast concrete systems have been shown to provide excellent seismic resistance. In order to improve understanding of the dynamic response of UPT systems, a series of snap back tests on four UPT systems was undertaken consisting of one Single Rocking Wall (SRW) and three Precast Wall with End Columns (PreWEC) systems. The snap back tests provided both a static pushover and a nonlinear free vibration response of a system. As expected the SRW exhibited an approximate bi-linear inertia force-drift response during the free vibration decay and the PreWEC walls showed an inertia force-drift response with increased strength and energy dissipation due to the addition of steel O-connectors. All walls exhibited negligible residual drifts regardless of the number of O-connectors or the post-tensioning force. When PreWEC systems of the same strength were compared the inclusion of further energy dissipating O-connectors was found to decrease the measured peak wall acceleration. Both the local and global wall parameters measured at pseudo-static and dynamic loading rates showed similar behaviour, which demonstrates that the dynamic behaviour of UPT walls is well represented by pseudo-static tests. The SRW was found to have Equivalent Viscous Damping (EVD) between 0.9-3.8% and the three PreWEC walls were found to have maximum EVD of between 14.7-25.8%.

Design of Integral Observers for Unknown Actuator Faults Estimation (구동기의 미지고장추정을 위한 적분관측기 설계)

  • Ahn, P.;Lee, M.K.;Kim, J.I.
    • 전자공학회논문지 IE
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    • v.43 no.4
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    • pp.93-98
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    • 2006
  • This paper deals with the estimation of unknown actuator faults for linear dynamic systems with sensor noise. The presented method based on the integral observer permits to achieve good convergence and exact estimation of unknown faults. The validity of proposed method is established by using the simulation results which compare to the existing methods.

Mixed Control of Agile Missile with Aerodynamic Fin and Thrust Vectoring Control (유도탄의 유도명령 추종을 위한 혼합제어기 설계 : 공력 및 추력벡터제어)

  • 이호철;최용석;송택렬;송찬호;최재원
    • Journal of Institute of Control, Robotics and Systems
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    • v.10 no.7
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    • pp.658-668
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    • 2004
  • This paper is concerned with a control allocation strategy using the dynamic inversion and the pseudo inverse control which generates the nominal control input trajectories. In addition, an autopilot design method is proposed by using time-varying control technique which is time-varying version of the pole placement of linear time-invariant system for an agile missile with aerodynamic fin and thrust vectoring control. The control allocation proposed in this paper is capable of extracting the maximum performance by combining each control effector, aerodynamic fin and thrust vectoring control. The adopted time-varying control technique for the autopilot design enhances the robustness of the tracking performance for a reference command. The main results are validated through the nonlinear simulations with aerodynamic data.

Design of PI Observers for Unknown Actuator Faults Estimation (구동기의 미지고장추정을 위한 PI관측기 설계)

  • Ahn, Pius;Kim, J.B.;Lee, M.K.
    • 전자공학회논문지 IE
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    • v.44 no.2
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    • pp.54-59
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    • 2007
  • This paper deals with the estimation of unknown actuator faults for linear dynamic systems with sensor noise. The presented method based on the PI(proportional-integral) observer permits to achieve good convergence and exact estimation of unknown faults. The validity of proposed method is established with simulation results and comparisons to the existing methods.

Eigenstructure Assignment for Linear Systems with Probabilistic Uncertainties

  • Seo, Young-Bong;Park, Jae-Weon;Lee, Dal-Ho
    • Journal of Mechanical Science and Technology
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    • v.18 no.6
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    • pp.933-945
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    • 2004
  • In this paper, S (stochastic)-eigenvalue concept and its S-eigenvector for linear continuous-time systems with probabilistic uncertainties is proposed. The proposed concept is concerned with the perturbation of eigenvalues due to the probabilistic variable parameters in the dynamic model of a plant. S-eigenstructure assignment scheme via the Sylvester equation approach based on the S-eigenvalue concept is also proposed. The proposed design schemes are illustrated by numerical examples, and applied to the longitudinal dynamics of open-loop-unstable aircraft with possible uncertainties in aerodynamic and thrust effects as well as separate dynamic pressure. These results explicitly characterize how S-eigenvalues in the complex plane may impose stability on S-eigenstructure assignment.

Spectral Analysis Method for the Discrete Systems with Initial Conditions (초기조건을 갖는 이산계의 과도응답에 대한 스펙트럴해석법)

  • Kim Sunghwan;Cho Jooyong;Lee Usik
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.29 no.4 s.235
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    • pp.578-583
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    • 2005
  • This paper introduces a fast Fourier transform (FFT)-based spectral dynamic analysis method for the transient responses as well as the steady-state responses of the linear discrete systems subject to non-zero initial conditions. The forced vibration of a viscously damped three-DOF system is considered as the illustrative numerical example. The proposed spectral analysis method is evaluated by comparing its results with the exact analytical solutions and the numerical solutions obtained by the Runge-Kutta method.

Sliding Mode Control of Three-Phase Four-Leg Inverters via State Feedback

  • Yang, Long-Yue;Liu, Jian-Hua;Wang, Chong-Lin;Du, Gui-Fu
    • Journal of Power Electronics
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    • v.14 no.5
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    • pp.1028-1037
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    • 2014
  • To optimize controller design and improve static and dynamic performances of three-phase four-leg inverter systems, a compound control method that combines state feedback and quasi-sliding mode variable structure control is proposed. The linear coordinate change matrix and the state variable feedback equations are derived based on the mathematical model of three-phase four-leg inverters. Based on system relative degrees, sliding surfaces and quasi-sliding mode controllers are designed for converted linear systems. This control method exhibits the advantages of both state feedback and sliding mode control. The proposed controllers provide flexible dynamic control response and excellent stable control performance with chattering suppression. The feasibility of the proposed strategy is verified by conducting simulations and experiments.