The internal model principle for periodic disturbances with rapidly time-varying frequencies

2011 ◽  
Vol 25 (11) ◽  
pp. 1006-1022 ◽  
Author(s):  
C. E. Kinney ◽  
R. A. de Callafon
Keyword(s):  
Internal Model ◽  
Time Varying ◽  
Internal Model Principle ◽  
Periodic Disturbances

Adaptive Periodic Noise Cancellation for Cooling Fans With Varying Rotational Speed

2007 ◽  
Author(s):  
Charles E. Kinney ◽  
Raymond A. de Callafon
Keyword(s):  
Internal Model ◽  
Control Algorithm ◽  
State Feedback ◽  
Random Noise ◽  
Feedback Gain ◽  
Time Varying ◽  
Internal Model Principle ◽  
Cooling Fans ◽  
Novel Method ◽  
Time Invariant

This paper presents a novel method of simultaneously tracking and rejecting time-varying sinusoids in the presence of random noise by using feedback control. The technique applies the internal model-principle to time-varying disturbances by using an extended Kalman filter to create time-varying gains and a time-varying internal model. The state feedback gain, however, is not time-varying and is designed using standard time-invariant LQR methods. This control algorithm is applied to active noise cancelation and in simulations is shown to converge quickly in the presence of noise. Methods of improving convergence of this algorithm are discussed.

Simulations of an Internal Model-Based Active Noise Control System for Suppressing Periodic Disturbances

1998 ◽  
Vol 120 (1) ◽  
pp. 111-116 ◽  
Author(s):  
Mingsian R. Bai ◽  
Tenyau Wu
Keyword(s):  
Internal Model ◽  
Noise Control ◽  
Active Noise Control ◽  
Robust Stabilization ◽  
Internal Model Principle ◽  
Model Based ◽  
Periodic Disturbances ◽  
System A ◽  
Active Noise ◽  
Infinite Loop

This study proposes an active noise control algorithm using the internal model principle. The structure of the noise is built in the transfer function of the controller in the unity feedback configuration. This method is particularly effective in suppressing periodic disturbance in spite of its simplicity. Perfect disturbance rejection at selected frequencies is achieved by the infinite loop gain of the system. A simulation was performed to investigate the internal model-based algorithm. The guidelines of choosing the control parameters with reference to a robust stabilization theory are summarized.

scholarly journals A pedagogical path from the internal model principle to Youla-Kučera parametrization

2020 ◽  
Vol 53 (2) ◽  
pp. 17374-17379
Author(s):  
Erik Hedberg ◽  
Johan Löfberg ◽  
Anders Helmersson
Keyword(s):  
Internal Model ◽  
Internal Model Principle
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