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Periodic motions of coupled simple pendulums with periodic disturbances

International Journal of Non-Linear Mechanics, 1968
Abstract Several theorems on the existence of oscillatory, rotary, and mixed periodic motions of n , coupled simple pendulums are proved. These theorems are very general and include subharmonic and ultraharmonic type solutions as well as harmonic type solutions and cover cases of large coupling and disturbances as well as small. The results are also
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Asymptotic Rejection of General Periodic Disturbances

2005 International Conference on Control and Automation, 2005
This paper deals with asymptotic rejection of general periodic disturbances in nonlinear systems. A novel approach based on integrations over the half of disturbance period is proposed to estimate disturbances which may not be harmonic or even smooth. The proposed algorithm uses the period and the knowledge of the basic disturbance patterns, while the ...
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Periodic disturbance rejection for fractional-order dynamical systems

Fractional Calculus and Applied Analysis, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
FEDELE, Giuseppe, Ferrise A.
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Disturbed periodic model for river meanders

Earth Surface Processes, 1976
AbstractAlthough river meanders are not perfectly regular their serial statistics show periodic tendencies which cannot be explained by previous stochastic models. The regular and random approaches to meander geometry can be reconciled in a disturbed periodic model with separate scale, sinuosity, and irregularity parameters.
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Identification of System and Periodic Disturbances

Volume 1A: 16th Biennial Conference on Mechanical Vibration and Noise, 1997
Abstract This paper addresses the problem of system identification in the presence of unknown periodic disturbances. Available for identification is a set of excitation input and the disturbance-corrupted response. This paper shows that the excitation-to-output system dynamics can still be identified successfully with disturbance ...
Minh Q. Phan   +2 more
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Modified virtual feedforward control for periodic disturbance rejection

The Fourth International Conference on Control and Automation, 2003. ICCA. Final Program and Book of Abstracts., 2003
In this paper, a modified virtual feedforward control (VFC), is presented for asymptotic disturbance rejection. The proposed VFC control is able to reject the periodic disturbances efficiently in nonminimum phase processes, and has been extended from SISO application to MIMO cases. The robustness of this control scheme is analyzed. The effectiveness is
null Qing-Guo Wang, null Han-Qin Zhou
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Asymptotic Rejection of Periodic Disturbances With Fixed or Varying Period

Journal of Dynamic Systems, Measurement, and Control, 2000
A constructive derivation of repetitive control is obtained, through attempting to derive a control law for asymptotic rejection of periodic disturbances. This derivation not only reveals a close relationship between iterative operator inversion and repetitive control, but also suggests a unified design method for a learning control algorithm.
Shiang-Hwua Yu, Jwu-Sheng Hu
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Small Periodic Disturbances in Polyatomic Gases

The Physics of Fluids, 1964
The Chapman-Enskog approximation to the velocity-energy distribution for a polyatomic gas is reinvestigated and found to yield unacceptable results for small amplitude sound waves. The solution to the linearized Boltzmann equation is then expanded in a set of orthogonal polynomials in the dynamic variables for translational and internal degrees of ...
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Frequency selective dual control for periodic disturbance cancellation

International Journal of Robust and Nonlinear Control, 2000
The paper proposes a fast adaptation scheme for the cancellations of periodic output disturbances. This scheme exploits the advantage of two different methods, namely dual control and harmonic control. The combination of the two methods is able to ensure high speed of adaptation, as well as to replace the use of traditionally preferred feedforward ...
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PERIODIC MOTION OF A SIMPLE PENDULUM WITH PERIODIC DISTURBANCE

The Quarterly Journal of Mechanics and Applied Mathematics, 1965
Struble, R. A., Marlin, J. A.
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