Nonlinear analysis of time-delay position feedback control of container cranes

Nayfeh, Nader A.; Baumann, William T.

doi:10.1007/s11071-007-9297-z

Cited by 47 publications

(28 citation statements)

References 17 publications

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“…Positioning accuracy and anti-swing are two basic requirements, which are highly correlated in the crane operation. Researchers in the communities of mechatronics and control have made a lot of efforts on designing effective and efficient control methods for the underactuated crane [3,15,18,32]. The difficulty of control arises from the strong state coupling between motion of the trolley and swing of the payload.…”

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confidence: 99%

Model predictive control for improving operational efficiency of overhead cranes

2014

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Model predictive control (MPC) has been successfully applied to many transportation systems. For the control of overhead cranes, existing MPC approaches mainly focus on improving the regulation performance, such as tracking error or steady-state error. In this paper, energy efficiency as well as safety is newly considered in our proposed MPC approach. Based on the system model designed, the MPC approach is applied to minimize an objective function that is formulated as the integration of energy consumption and swing angle. In our approach, promising results in terms of low energy consumption and small swing angle can be found, whilst the solutions obtained can satisfy all practical constraints. Our test results indicate that the MPC approach can ensure stability and robustness of improving energy efficiency and safety.

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confidence: 99%

Model predictive control for improving operational efficiency of overhead cranes

2014

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“…In fact, time delay can be caused by finite signal transmission speeds and memory effects [17][18][19][20][21][22][23], the physical properties of the equipment used for control and transport delay, and filtering and processing data [21]. Time-delayed feedback control is a powerful tool for achieving a wide range of operating regimes and enhancing amplitude-frequency characteristics [13,14,16]; the utilization of time delay has developed for many years in vibration engineering fields.…”

Section: Introductionmentioning

confidence: 99%

“…They considered the primary resonance and subharmonic resonance of a forced Duffing oscillator with time delay feedback and from the perspective of vibration control. Then, a time delay position feedback controller to reduce the sway of container cranes was put forward in [23]. Recently, the abundant dynamic properties which exist in a vibration isolation system under delayed feedback control were discussed in detail in [22].…”

Section: Introductionmentioning

confidence: 99%

Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control

Huang

Yang

et al. 2017

Shock and Vibration

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The principal resonance of a delayed piecewise-smooth (DPWS) system with negative stiffness under narrow-band random excitation is investigated in aspects of multiscale analysis, design methodology of the controller, and response properties. The amplitude-frequency response and steady-state moments together with the corresponding stability conditions of the controlled stochastic system are derived, in which the degradation case is also under consideration. Then, from the perspective of the equivalent damping, the comparisons of the response characteristics of the controlled system to the uncontrolled system, such as the phenomenon of frequency island, are fulfilled. Furthermore, sensitivity of the system response to feedback gain and time delay is studied and interesting dynamic properties are found. Meanwhile, the classification of the steady-state solution is also discussed. To control the maximum amplitude, the feedback parameters are determined by the frequency response together with stability boundaries which must be utilized to exclude the combinations of the unstable parameters. For the case with small noise intensity, mean-square responses present the similar characteristics to what is discussed in the deterministic case.

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“…N.A. Nayfeh [10] concluded that the controller of a container crane undergoes a supercritical bifurcation for practical operating ranges.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of a maglev system with time-delayed feedback control

Zhang

Campbell

Huang

2011

Physica D: Nonlinear Phenomena

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This paper undertakes a nonlinear analysis of a model for a maglev system with time-delayed feedback. Using linear analysis, we determine constraints on the feedback control gains and the time delay which ensure stability of the maglev system. We then show that a Hopf bifurcation occurs at the linear stability boundary. To gain insight into the periodic motion which arises from the Hopf bifurcation, we use the method of multiple scales on the nonlinear model. This analysis shows that for practical operating ranges, the maglev system undergos both subcritical and supercritical bifurcations, and which give rise to unstable and stable limit cycles respectively. Numerical simulations confirm the theoretical results and indicate that unstable limit cycles may coexist with the stable equilibrium state. This means that large enough perturbations may cause instability in the system even if the feedback gains are such that the linear theory predicts that the equilibrium state is stable.

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Nonlinear analysis of time-delay position feedback control of container cranes

Cited by 47 publications

References 17 publications

Model predictive control for improving operational efficiency of overhead cranes

Model predictive control for improving operational efficiency of overhead cranes

Vibration Analysis of a Piecewise-Smooth System with Negative Stiffness under Delayed Feedback Control

Nonlinear analysis of a maglev system with time-delayed feedback control

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