2011
DOI: 10.1016/j.automatica.2011.08.017
|View full text |Cite
|
Sign up to set email alerts
|

Ineluctability of oscillations in systems with digital implementation of derivative feedback

Abstract: Differentiation in the feedback is common practice in digital control. Yet, the fundamental behavior of the universally employed backward difference of quantized signals has not been studied thus far. We show that velocity always oscillates when this type of feedback is applied to a forced, linear second-order system for any system parameter. We then compute a bound for the oscillation amplitude which can be easily computed given the parameters of the system. Experimental results are in close agreement with th… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
1

Citation Types

0
1
0

Year Published

2012
2012
2021
2021

Publication Types

Select...
2
2

Relationship

0
4

Authors

Journals

citations
Cited by 4 publications
(1 citation statement)
references
References 22 publications
0
1
0
Order By: Relevance
“…This is due (i) to the discrepancy between the model and the actual RD characteristics and (ii) to the fact that the QPs provided by the optimization process have to be rounded before being used by the video encoders. This type of oscillatory behavior due to quantized inputs has been considered in [62] and [63]. Using scalable video coders, such as H.264/SVC, combined with layer filtering instead of transcoding or encoding at various QPs would probably enhance the oscillating behavior.…”
Section: ) Constant Channel Ratementioning
confidence: 98%
“…This is due (i) to the discrepancy between the model and the actual RD characteristics and (ii) to the fact that the QPs provided by the optimization process have to be rounded before being used by the video encoders. This type of oscillatory behavior due to quantized inputs has been considered in [62] and [63]. Using scalable video coders, such as H.264/SVC, combined with layer filtering instead of transcoding or encoding at various QPs would probably enhance the oscillating behavior.…”
Section: ) Constant Channel Ratementioning
confidence: 98%