Paper Info
Title
Feedback Stabilization Of Nonlinear Driftless Systems With Applications To Homogeneous-Type Systems
Abstract
Issues of asymptotic stabilization of nonlinear driftless systems as given by x = g(x)u with applications to homogeneous-type driftless systems are presented. Conditions of the existence of a smooth time-invariant stabilizer for general nonlinear driftless systems are obtained by the construction of quadratic-type Lyapunov functions. The proposed conditions do not contradict Brockett's (1983) result for the existence of a smooth time-invariant stabilizer. These results are then employed to study the stabilization problem of homogeneous-type systems. Sufficient conditions are obtained for the stabilization of planar type homogeneous driftless systems with positive order. It is shown that the single input control driftless systems cannot be asymptotically stabilizable by any continuous control if g(x) is a homogeneous function of even order. Moreover, equivalent conditions for the stabilizability of linear driftless systems and the explicit design of stabilizing control laws for bilinear driftless systems are also presented.
Year
DOI
Venue
1997
10.1080/00207729708929376
INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE
Keywords
Field
DocType
lyapunov function,asymptotic stability,type system
Lyapunov function,Nonlinear system,Homogeneous function,Control theory,Bilinear systems,Homogeneous,Planar,Mathematics,Bilinear interpolation
Journal
Volume
Issue
ISSN
28
2
0020-7721
Citations 
PageRank 
References 
3
0.44
1
Authors
2
Name
Order
Citations
PageRank
Der-cherng Liaw114027.60
Yew-Wen Liang218715.62