Title
Numerical issues in backstepping control: Sensitivity and parameter tuning
Abstract
The backstepping-based adaptive tuning functions design is a control-scheme for uncertain systems that ensures reasonably good stability and performance properties of the closed loop. The complexity of the controller makes inevitable the use of digital computers to perform the calculation of the control signal. This paper addresses the issue of the numerical sensitivity of this control scheme. It is shown that while the increase of the design parameters may be desirable to achieve a good transient performance, it harms the control signal as this increase introduces large high-frequency components due to the numerical errors. The presented results suggest that it is necessary a certain compromise between the choice of the design parameters and the numerical precision of the tools involved in the control design. This compromise can be quantified by explicit expressions.
Year
DOI
Venue
2008
10.1016/j.jfranklin.2008.05.005
Journal of the Franklin Institute
Keywords
Field
DocType
Adaptive backstepping,Sensitivity analysis,Numerical errors,Symbolic methods
Transient response,Lyapunov function,Control theory,Backstepping,Recursion (computer science),Expression (mathematics),Control theory,Control engineering,Uncertain systems,Numerical precision,Mathematics
Journal
Volume
Issue
ISSN
345
8
0016-0032
Citations 
PageRank 
References 
4
0.67
4
Authors
3
Name
Order
Citations
PageRank
Francesc Pozo1208.13
Fayçal Ikhouane27113.85
José Rodellar310320.73