Title
Dynamic Extensions for Exact Backstepping Control of Systems in Pure Feedback Form
Abstract
The traditional backstepping design may struggle to asymptotically stabilize systems in pure feedback form, due to implicit equations. Approximation based designs only have a limited domain of validity and turn out sensitive to disturbances. We propose a new design that circumvents the necessity of solving implicit algebraic equations by introducing new state variables. Additional augmentations to the backstepping Lyapunov design lead to explicit expressions for the associated differential equations. The result is a dynamic state feedback, capable of asymptotically stabilizing the origin of a general class of nonlinear systems, based on just standard assumptions.
Year
DOI
Venue
2019
10.1109/CDC40024.2019.9030044
2019 IEEE 58th Conference on Decision and Control (CDC)
Keywords
DocType
ISSN
pure feedback form,approximation based designs,implicit algebraic equations,differential equations,dynamic state feedback,nonlinear systems,dynamic extensions,exact backstepping control,backstepping Lyapunov design
Conference
0743-1546
ISBN
Citations 
PageRank 
978-1-7281-1399-9
0
0.34
References 
Authors
0
2
Name
Order
Citations
PageRank
Johann Reger14017.29
Lukas Triska200.34